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Homeschool High School Math

By quark , February 16, 2015 in High School and Self-Education Board

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AGS ALGEBRA

Textbook: Algebra textbook and student workbook.

Note: High-interest, grade level text designed to meet the needs of struggling learners with a lower reading level.

Online Class? No.

Where to buy: From Wieser Educational and Rainbow Resource .

Teacher Guide/Additional Materials: Yes, a teacher's resource CD-Rom is available.

Online Preview

Textbook: All course materials are online. Adaptive software (adapts to learner's level). Course materials are in two parts (1A and 1B) and may be taken as a regular Common Core strand, CA content standards strand or traditional strand.

Online Class? No. Artificial intelligence, adaptive software. Automatically graded coursework.

Where to buy: From Aleks .

Teacher Guide/Additional Materials: No.

Free Trial Contact for more info

ALGEBRA I: A FRESH APPROACH

Textbook: One volume student worktext developed by a math tutor.

Online Class? No.

Where to buy: A+ Education Services or Rainbow Resources

Teacher Guide/Additional Materials: Solutions Manual, Test Packet

Sample Table of Contents Cathy Duffy Review

ARBOR ALGEBRA

Textbooks: Jousting Armadillos, Crocodiles and Coconuts, and Chuckles the Rocket Dog

Note: Volume 1 covers PreAlgebra and Volume 2 & 3 Cover Algebra 1

Where to buy: A+ Education Services or Rainbow Resources or from the publisher in the link above

Teacher Guide/Additional Materials: Answer Book and Tests available.

Samples: Click on each book icon here .

Here are some threads on it: thread 1 , thread 2 .

Note: Jousting Armadillos covers working with single variables. It assumes understanding of basic operations. It contains no geometry or statistics. So it is a beginning Algebra 1 or advanced PreAlgebra. The other two books cover the rest of Algebra 1 topics.

ART OF PROBLEM SOLVING (Level: Challenging)

Textbook: Introduction to Algebra by Richard Rusczyk. Algebra I is Chapters 1-13 of the book.

Online Class? Yes, see here . 16-weeks, fast-paced, text-based chatroom (no video or audio). Well Trained Mind Academy is offering a hybrid AoPS Algebra I-Singapore Math course here . Online practice software available via Alcumus (currently free). Online videos.

The textbooks are written directly to the student and may be done (self-paced) without the online classes.

Where to buy: AoPS Bookstore (and sometimes, used on Amazon.com). In Europe? Buy from: UKMT

Teacher Guide/Additional Materials: Yes, a Solutions Guide (discount available if purchased with textbook).

Placement: Are You Ready? and Do You Need This? Samples (Excerpts tab) Table of Contents

Regentrude's (board member) Tests

BLUE TENT ONLINE - HONORS ALGEBRA 1

Textbook: Elementary Algebr a by Ron Larson. Ebook (hard copy option) offers embedded videos and demonstrations throughout.

Online Class: Yes. Online live classes. A Moodle classroom, ZOOM , and WebAssign . Full-year class with live instruction 2x/week (classes are also recorded for asynchronous viewing). Class description here . Resources and objectives here .

Where to buy : Register at Blue Tent Online.

Teacher Guide/Additional Materials: WebAssign; Desmos.com ; Blue Tent OnLoan

Textbook: Algebra by Ron Larson. Package includes DVDs and textbook.

Where to buy: Chalkdust

Teacher Guide/Additional Materials: Solutions and technical support.

Course Outline Demo (requires flash)

Textbook: Various levels available as "Flexbooks" that you can view online or download as ebooks (pdf, epub, etc.).

Titles - Basic Algebra Flexbook , Algebra I Concepts , Algebra I Concepts Honors , Algebra I Honors , Algebra I Second Edition

Note: Choices may be confusing. To navigate the website in a more visually organized way, you might like to use the mapview .

Online Class? No. But the Flexbooks do contain interactive materials like videos.

Where to buy: Free at CK12.com, just sign up to access!

Teacher Guide/Additional Materials: Basic Algebra Teacher's Guide , see Resource tabs for other Flexbooks. Also see the lesson plans and Q&A option via Easy Peasy All-in-One High School .

CLE ALGEBRA I

Textbook: Sunrise Edition Light Units - 10 slim worktexts covering Algebra 1 including a total of 160 daily lessons. Spiral program similar to Saxon. Introduces concepts in small increments and then provides mixed review practice on many topics in each lesson.

Where to buy: Christian Light Publications

Teacher Guide, Additional Materials: Solutions Guide , Math Skill Development Worksheets (remedial)

Placement Test (Level 800) Sample (2nd book) Sample (last book)

DEREK OWENS (Level: Regular and Honors)

Textbook: Course originally based on Algebra I: Structure and Method by Richard Brown and Mary Dolciani (2000 ed.) and is via recorded (youtube blackboard style) online lectures based on book and Derek's notes. Course materials such as practice pages, and workbook are available for download after registration. If you would rather not print so many pages, the student workbook is also available for purchase in two printed-and-bound volumes from Derek's Lulu store: Algebra 1, Semester 1 and Algebra 1, Semester 2 .

Note: Course is available as a regular or honors track. Honors students will be required to complete a few extra assignments and test questions.

Online Class? No. All instruction is via recorded videos online. Students complete assigned work from online account, then scan and send work to Derek Owens for grading. He will return graded work in a few days' time. He maintains an online gradebook for each student. Details here .

Where to buy: Sign up here . Derek's book-keeper will send monthly invoices of $58 for 9 months, or $29 if slower-paced up to a total of $58*9 payments. Details here .

Teacher Guide/Additional Materials: Syllabus .

Sample Lectures

Textbook: Algebra: Structure and Method Book 1 by Richard Brown and Mary Dolciani. Several editions available, e.g. this older edition with only Mary Dolciani as author.

Note: Problems in this textbook are offered at three difficulty levels: A for easy, B for intermediate and C for challenge.

Online Class? Yes. Online, live classes at Wilson Hill Academy (uses the year 2000 edition). More information on Wilson Hill in dereksurf's post!

Where to buy: Out of print. Buy used on Amazon.com or from other online vendors.

Teacher Guide/Additional Materials: Some support materials are available from the publisher . Please match copyright/ edition information with your textbook before purchase.

EdX INTRODUCTION TO ALGEBRA

Textbooks: none

Online Class? Yes, with certificate upon completion

Where to Buy; Free. At EdX

Teacher Guide/Additional Materials: None, all the materials are online

Notes : This is a 10-week self-paced course covering all Algebra 1 topics. Each lesson is presented via a digital whiteboard and is followed by a problem set. The lessons are interactive and the student chooses a unique path through the lesson depending on the amount of review and explanation they need. The problem set is adaptive and must be mastered for credit. You can do more problems after you've mastered the topic. But you can pass a topic and move on without sufficient review for mastery, and there are no homework, tests, etc. This is a fantastic teaching tool but you would want a student using other material for additional practice, testing, etc.

FOERSTER (and MATH WITHOUT BORDERS)

Textbook: Algebra I: Expressions, Equations and Applications by Paul Foerster.

Where to buy: 1994 edition here . 1999 edition here . 2006 edition here . (All are Amazon.com links). 2006 edition from Rainbow Resource .

Teacher Guide/Additional Materials: Home Study Companion (link includes product samples) from Math Without Borders, or Solutions Manual from Rainbow Resource.

Sample of 2006 ed. from Rainbow Resource Maria Miller Review

FOERSTER (and KOLBE ACADEMY)

Online Class? Yes. Kolbe Academy .

Textbook: Algebra by I.M. Gelfand and A. Shen

Online Class? No

Where to buy: Amazon.com and various other vendors.

Teacher Guide/Additional Materials: Hyperlinked online solutions here and pdf solutions here (many thanks to Adrian for this).

2014 Gelfand's Algebra discussion thread

Textbook: Holt Algebra 1

Note: MarkT from post#49 below says, " the Holt series 200x Algebra 1 and Algebra 2, are easy for self study, have a lot free support material including videos. Dr Burger is a key contributor. (the down-side is too many distracting photos and side-bars which makes the textbook quite large)

They are good for "typical" math students (whatever that is) which would be the middle two quartiles if I had to venture a guess.

Currently they are cheap on the used market."

Where to buy: Amazon.com (2007 ed)

Teacher Guide/Additional Materials: Scroll down here to see workbook, teacher edition etc.

Review (for Algebra 2)

Textbook: Elementary Algebra by Harold Jacobs.

Online Class? No. But a DVD course is available from Ask Dr. Callahan .

Where to buy: A few sources, including Amazon , Rainbow Resource , and Ask Dr. Callahan (with DVD support , you may need to buy textbook separately from another vendor).

Teacher Guide/Additional Materials: Amazon Solutions Guide (please cross-check edition), Amazon Teacher's Guide (please cross-check edition), Rainbow Resource page, Ask Dr. Callahan .

Table of Cotents Cathy Duffy Review Review on Exodus Books

KEY to ALGEBRA

Textbook: Series of 10 worktexts covering the fundamentals of Algebra. Light version of Algebra I.

Where to buy: Christian Book , Rainbow Resource.

Teacher Guide/Additional Materials: Answer keys (sold separately)

Discussion on Keys as stand alone Algebra I. Another discussion on same topic.

KINETIC BOOKS

Textbook: Online, digital textbook with videos, interactive problems and activities.

Where to buy: Perfection Learning Store (1-year license)

Teacher Guide/Additional Materials:

Sample Table of Contents Maria Miller Review

Textbook: Introductory Algebra (ISBN: 9780321279217)

Many editions are available for pennies for a used copy. The text is self teaching. Each topic is taught beginning to end in a mastery style. This works well for a student coming in from a weaker curriculum because it fills holes as it goes. Those with a weaker math background will find it a long course, those with a strong background will go through it more quickly. There are many problems, more than enough practice for most students can be found just by doing odds. It offers a complete on-level Algebra 1 course. Answers to odds, all review exercises and tests can be found in the back.

Online Class? Yes. Boardie Jann in TX uses the edition linked above in her online classes.

Where to buy: Amazon

Teacher Guide/Additional Materials: Student Solutions Manual provides complete solutions to the same problems that the text provides answers for.

LIFE OF FRED

Textbook: Life of Fred: Beginning Algebra by Stanley Schmidt

Where to buy: ZTwist or here .

Teacher Guide/Additional Materials: Companion Guide included in the Expanded Edition. Zillions of Practice Problems book provides extra practice.

FAQs Sample

LIVE ONLINE MATH

Textbook: Algebra 1 by Glencoe (ISBN: 0028253264)

Online Class? Yes. The Classes option is for Live classes with instructor interaction (three sessions/week). The Video courses are self-paced with no live session (but you may request tutor support). The Video Plus courses are Live with an instructor but follow a flexible schedule (one session/week). Compare classes by clicking the links and scrolling down to the green comparison bar.

Where to buy: Live Online Math Store

Teacher Guide/Additional Materials: Tutor support is available.

For a Free Trial click the Orange button on the website

MATH in a BOX

Textbook: Introductory Algebra: An Applied Approach by Aufmann, Barker and Lockwood. 5th edition ISBN: 0395907063, or the 6th edition ISBN: 0618203230.

Online Class? Yes, asynchronous classes which can be started at any time. Assignments graded daily.

Where to buy: Math in a Box (note that classes are divided into first and second semesters) . See this page about purchasing textbook.

MATH RELIEF ALGEBRA I

Textbook: DVDs with the instruction and worksheets for practice. Includes review of pre-algebra concepts such as fractions.

Where to buy: M ath Relief

Teacher Guide, Additional Materials: Solutions Key

Cathy Duffy Review

Textbook: Algebra 1 Student Pack.

Like all MUS courses, this is a workbook with no instruction and a test book. The instruction pack including DVD and TM is needed. MUS also recommends blocks and inserts, but they are only used in a few lessons and are not necessary.

Online Class: Yes. Provided by Math-u-See .

Where to buy: Math-u-See Store

Teacher Guide/Additional Materials: Instructional Pack contains DVD and TM with complete solutions to the workbook and tests.

Placement Sample

MEMORIA PRESS ALGEBRA I

Textbook: Prentice Hall Classics by Smith, etc

Online Class? Yes

Where to buy: From Memoria Press and Rainbow Resource .

Teacher Guide/Additional Materials: Yes. MP has lesson plans and a Quizzes and Tests book. Teachers edition and solutions guides may be available in the second hand marketplace.

Textbook: Several choices available. Contact for details.

Online Class? Yes, live class twice a week. Scroll down here for schedule and class description.

Where to buy: Register by choosing an instructor here .

Teacher Guide/Additional Materials: Syllabus ,

Placement Solutions to Placement Exam FAQs

Feedback on philfour classes

POWER BASICS

Textbook: Algebra by Robert Taggart. Also available: Student Workbook , Teacher's Guide and Test Pack .

Where to buy: From Walch . Also available from Amazon, ChristianBook and other online vendors.

Teacher Guide/Additional Materials: The Teacher's Guide provides an overview of each unit; including, extension activities, a glossary, record-keeping forms, and graphic organizers for instruction.

Sample (Textbook) Sample (Workbook) Sample (Teacher's Guide) Sample (Test Pack)

Review by Cathy Duffy

Textbook: Algebra 1: An Incremental Development (3rd edition) by John Saxon. There is also a 4th edition available. DIVE offers DVD video lectures on the 3rd edition textbook. Art Reed offers DVD instruction as well.

Note: DIVE CDs are not secular. Art Reed and Saxon Teacher CDs are secular.

Online Class? Well Trained Mind Academy . Freedom Project Education .

Where to buy: A few sources for the books, including Amazon , ChristianBook , and Rainbow Resource. (ChristianBook and Rainbow Resource sell the 3rd edition full kit as well as the 3rd edition full kit with DIVE; Rainbow Resource also sells the 4th edition full kit). Buy the DVD package from DIVE (one of the options includes the full homeschool kit) . Buy Art Reed DVDs from Rainbow Resource .

Teacher Guide/Additional Materials: Answer Key, Solutions Manual, and Test Forms (included in the full kit).

Placement (DIVE) Sample from ChristianBook

SAXON with Virtual Homeschool Group

The Virtual Homeschool Group offers free secular online at your own pace Saxon classes with rolling admission, including voice threads (similar to Khan Academy) and online computer-scored problem sets and tests. They also have open online office hours where students can ask questions. They sometimes offer an online live class (also free) in one or more levels during the school year if a volunteer teacher is available. Currently, algebra 1 (3rd ed) and algebra 2 (2nd or 3rd ed) are fully available, while advanced mathematics is being built (available in preview mode this year). Students are required to purchase the student text to participate in the class.

Where to buy: A few sources for the books, including Amazon , ChristianBook , and Rainbow Resource.

updated link:

http://www.virtualhomeschoolgroup.org/

TEACHING TEXTBOOKS

Textbook: Algebra I Teaching Textbook and interactive lectures on a CD-Rom

Where to buy: Teaching Textbooks (also search on ChristianBook, Timberdoodle and a few other merchants for best price)

Teacher Guide/Additional Materials: Answer Key and Test Bank available.

Placement Sample Table of Contents

THINKWELL Homeschool Version

Textbook: All course materials are online via recorded lectures, notes, automatically-graded quizzes and tests. Subscription is for a period of 12 months.

Online Class? Not live but instructor support is available via Johns Hopkins Center For Talented Youth. Prerequisites and other details here .

Where to buy: From Thinkwell . Check Homeschool Buyers Co-op for periodic Group Buy savings (sometimes 50% off!).

Teacher Guide/Additional Materials: Quizzes and tests are automatically graded with correct solutions supplied. The homeschool version provides lesson plans .

Placement Sample Course Content (scroll down)

Textbook: Package includes video lessons, course notes, and student work text covering Pre-Alegbra, Algebra I and Algebra II in one complete course.

Online Class? No. But an online recorded video option is available.

Where to buy: VideoText Store

Teacher Guide/Additional Materials: Extra materials such as solutions, progress tests, toll-free support (for a fee) and course schematic .

Placement FAQs

-----------------------------------------------------------------------

MISCELLANEOUS ONLINE COURSES/ SUPPLEMENTS

KHAN ACADEMY : Free, online, interactive videos (you tube, blackboard style) with online discussion forum .

SCHOOL YOURSELF : Free, online, interactive instruction (interactive whiteboard style).

THE MATH PAGE: Review/ remedial help

PROF. ROBBOB YouTube Playlists :

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Helpful discussion threads with textbook/ curriculum reviews:

Which algebra do you love and why? (Sept 2016)

>>> Looking for a step before high school geometry? Also see Pre-Geometry threads below <<<

Pre-geometry?

What's next...Math, Algebra 2 or geometry?

Patty Paper geometry, Pre-geometry for younger student?

>>> Also see Epic Thread of Geometry Programs <<<

AGS GEOMETRY

Textbook: Geometry textbook and student workbook.

Textbook: All course materials are online. Adaptive software (adapts to learner's level).

Textbook: Introduction to Geometry by Richard Rusczyk.

Online Class? Yes, see here . 24-weeks, fast-paced, text-based chatroom (no video or audio). Online practice software available via Alcumus (currently free). The textbooks are written directly to the student and may be done (self-paced) without the online classes.

Tests: Algebra Tests in a pdf file for download - see post #8 (hat tip to Regentrude).

BLUE TENT ONLINE - HONORS GEOMETRY

Textbook: Glencoe Geometry

Where to buy: Register at Blue Tent Online.

Teacher Guide/Additional Materials: WebAssign; Geometer's Sketchpad; Desmos.com ; Blue Tent OnLoan

CHAKERIAN (and MATH WITHOUT BORDERS)

Textbook: Geometry: A Guided Inquiry by Chakerian, et. al.

Where to buy: See note by Math Without Borders author here . Amazon .

Teacher Guide/Additional Materials: Home Study Companion from Math Without Borders.

Sample (Math Without Borders) Maria Miller Review

CHAKERIAN (and KOLBE ACADEMY)

Online Class? Yes. Kolbe Academy (regular) or Kolbe Academy (honors) .

Textbook: Elementary Geometry for College Students by Daniel Alexander and Geralyn Koeberlein. Package includes DVDs and textbook. (Compare editions here ).

Course Outline (5th ed) Demo (requires flash)

Titles - Basic Geometry Flexbook , Geometry Concepts , Geometry Concepts Honors , Geometry Second Edition

Online Class? No. But the Flexbooks may contain interactive materials like videos.

Teacher Guide/Additional Materials: Basic Geometry Teacher's Guide , see Resource tabs for other Flexbooks. Also see the lesson plans and Q&A option via Easy Peasy All-in-One High School .

CLE GEOMETRY

Textbook: The current edition is not the Sunrise version with neatly divided daily lessons and mixed review but the less user friendly older version. This older version is virtually the same as the Alpha Omega Geometry course. CLE does not provide samples due to AO copyright restrictions but you can see AO samples on Christian Book.

Teacher Guide, Additional Materials: Answer Key Set , Teacher's Guide with solutions

Textbook: Geometry: Seeing, Doing, Understanding by Howard R. Jacobs, 3rd Edition (2003 ed.). Instruction is via recorded (youtube blackboard style) online lectures. Course materials such as practice pages, and workbook are available for download after registration. If you would rather not print so many pages, the student workbook is also available for purchase in two printed-and-bound volumes from Derek's Lulu store: Geometry Semester 1 and Geometry Semester 2 .

DISCOVERING GEOMETRY

Textbook: Discovering Geometry by Michael Serra textbook and workbook.

Where to buy: From Amazon

Teacher Guide/Additional Materials: Yes, a teacher's resource , solutions manual, assessments, online videos.

Sample Student Edition Sample Teacher Edition Sue in St Pete's Review

EdX INTRODUCTION TO GEOMETRY

Textbook: None, all materials are online

Notes : This is a 14-week self-paced course covering all high school Geometry topics. Each lesson is presented via a digital whiteboard and is followed by a problem set. The lessons are interactive and the student chooses a unique path through the lesson depending on the amount of review and explanation they need. The problem set is adaptive and must be mastered for credit. You can do more problems after you've mastered the topic. But you can pass a topic and move on without sufficient review for mastery, and there are no homework, tests, etc. This is a fantastic teaching tool but you would want a student using other material for additional practice, testing, etc. Great Pre-Geometry course for a middle grader on its own, or pair with a textbook for a full high school credit.

Where to buy: Free. Access online through EdX

Teacher Guide/Additional Materials: None

Textbook: The Method of Coordinates by I.M. Gelfand, E. G. Glagoleva and A.A. Kirillov .

Where to buy: Amazon .

Teacher Guide/Additional Materials:

GEOMETRY: A FRESH APPROACH

Textb ook: One volume student worktext developed by a math tutor.

Where to buy: A+ Education Services or Rainbow Resources

Teacher Guide/Additional Materials: Solutions Manual, Test Packet

Sample Table of Contents Jay Wile Review

HOLT GEOMETRY

Textbook: Holt Geometry by Dr Edward Burger (ISBN: 0030358280, 2007 ed.).

Where to buy: Amazon

Teacher Guide/Additional Materials: Thinkwell-style tutorial videos, homework help, projects and other resources available here .

Textbook: Geometry: Seeing, Doing, Understanding by Harold Jacobs, 3rd edition.

Online Class? See online class option from Derek Owens above. DVD course is available from Ask Dr. Callahan .

Where to buy: Amazon , Ask Dr. Callahan .

Teacher Guide/Additional Materials: Teacher's Guide, Syllabus and Tests from Ask Dr. Callahan , Answer Key from Ask Dr. Callahan .

Sample (Chapter 2) Sample (Chapter 7) Maria Miller Review

JURGENSEN with DUKE TiP

Textbook: Geometry by Ray C. Jurgensen, Richard G. Brown, and John W. Jurgensen. ISBN 0395977274 (2000 edition).

Online Class? No. (See below for online class options using the same textbook). Duke TiP's program uses video lectures on a CD, and includes interactive activities.

Where to buy: Buy the Duke TiP CD and workbook package here . Textbook is out of print. Buy used on Amazon.com or from other online vendors. Students may order a copy from the publisher, McDougall Littell, by calling (800) 462-6595.

Teacher Guide/Additional Materials: CD includes automatically graded quizzes, and solutions to selected problems. See discussion threads here and here .

Sample (Duke TiP) Table of Contents

Discussion Thread about using Jurgensen without an online class.

Another discussion thread about Jurgensen Geometry.

Video lecture series (youtube askmrh) to accompany the text.

Note: program discontinued? See this thread .

JURGENSEN with Math in a Box

Where to buy: Math in a Box (note that classes are divided into first and second semesters . Textbook is out of print. Buy used on Amazon.com or from other online vendors. Students may order a copy from the publisher, McDougall Littell, by calling (800) 462-6595.

Teacher Guide/Additional Materials: No.

JURGENSEN with Memoria Press

Online Class? Yes. See link.

Where to buy: Textbook is out of print. Buy used on Amazon.com or from other online vendors. Students may order a copy from the publisher, McDougall Littell, by calling (800) 462-6595.

JURGENSEN with WILSON HILL ACADEMY

Online Class? Yes. Online, live classes at Wilson Hill Academy (uses the year 2000 edition). Live interactive class which meets 2x/week for 90 minutes per class session.

Teacher Guide/Additional Materials: May want Solutions Manual (note that this is 1994 edition but not very different from 2000 textbook). Also an electronic pen/tablet is needed along with microphone.

Sample Table of Contents

KISELEV's GEOMETRY

Textbook: Kiselev's Geometry Book 1: Planimetry, and Book 2: Stereometry.

Note: Background information on the texts here .

Where to buy: Amazon (Book 1) , Amazon (Book 2)

Samples Table of Contents

Textbook: Life of Fred: Geometry by Stanley Schmidt

Textbook: Geometry by Glencoe (ISBN: 0028252756)

Online Class? Yes. The Classes option is for Live classes with instructor interaction (three sessions/week). The Video courses are self-paced with no live session (but you may request tutor support).

MATH RELIEF GEOMETRY

Where to buy: Math Relief

Textbook: Geometry Student Pack

Like all MUS courses, this is a workbook with no instruction and a test book. The instruction pack including DVD and TM is needed. This course covers only the Geometry needed for SAT/ACT. There is a very small coverage of proofs, but it is extremely light.

Where to buy: Math-u-See Store .

Teacher Guide/Additional Materials: Instructional Pack contains DVD and TM with complete solutions to the workbook and tests.

Placement Sample

Teacher Guide/Additional Materials: Syllabus

Textbook: Geometry by Robert Taggart. Also available: Student Workbook , Teacher's Guide and Test Pack .

Where to buy: From Walch . Also available from Amazon , ChristianBook , Rainbow Resource and other online vendors.

Cathy Duffy Review

Textbook: Geometry ISBN: 9781602773059, 1st edition. DIVE offers DVD video lectures on the 1st edition textbook.

Note: This is a separate Geometry text for students who prefer a dedicated text. Saxon previously integrated geometry into its Algebra 1, Algebra 2 and Advanced Math texts. Google Art Reed's explanation on awarding Geometry credit (it is a youtube video). DIVE CDs are not secular. The Saxon Teacher CDs and Art Reed products are secular.

Online Class? Freedom Project Education (integrated in the Algebra I (intro geometry) and Algebra II programs).

Where to buy: A few sources, including Amazon , ChristianBook , and Rainbow Resource. (ChristianBook also sells the DIVE DVDs). Buy the DVD package from DIVE . Art Reed integrates Geometry in the Algebra and Advanced Math DVD instruction videos available from Rainbow Resource .

Sample from ChristianBook Cathy Duffy Review

SOLOMONOVICH - EUCLIDEAN GEOMETRY: A FIRST COURSE

Textbook: Euclidean Geometry: A First Course

Note: From RaptorDad (post #61) -- In the pre-AoPS days, Charon/Adrian and Myrtle thought it was as good or better than Kiselev. Hartshorne is Mathwonk's preferred text for interpreting Euclid and Hartshorne has a glowing recommendation on the back cover(viewable on Amazon). I like all sorts of older texts, but this one is rarely both in print and has an instructors manual.

Where to buy: Amazon.com

Teacher Guide/Additional Materials: Amazon.com

Textbook: Geometry Teaching Textbook and interactive lectures on a CD-Rom

Online Class? Not live but instructor support at a honors level is available via Johns Hopkins Center For Talented Youth (CTY). Prerequisites and other details here . The Johns Hopkins CTY course uses Geometry by Jurgensen, Brown, and Jurgensen. ISBN 9780395977279. Copyright 2000.

Where to buy: From Thinkwell . Check Homeschool Buyers Co-op for periodic Group Buy savings (sometimes 50% off!). To buy the Jurgensen textbook for the Johns Hopkins CTY course, go to Amazon.com .

Textbook: Package includes video lessons, course notes, and student work text covering Geometry, Trigonometry and Precalculus.

Overview FAQs

ALGEBRA II / INTERMEDIATE ALGEBRA / w and w/o TRIGONOMETRY

Textbook: Algebra 2 textbook and student workbook.

Textbook: All course materials are online. Adaptive software (adapts to learner's level). Course materials are available as Algebra 2 and Algebra 2 with Trigonometry .

ALGEBRA II: A FRESH APPROACH

ART OF PROBLEM SOLVING ALGEBRA 2 (Level: Challenging)

Textbook: Introduction to Algebra by Richard Rusczyk. Algebra II is Chapters 14-22 of the book.

Online Class? Yes, see here . 15-weeks, fast-paced, text-based chatroom (no video or audio). The textbooks are written directly to the student and may be done (self-paced) without the online classes.

Placement: Are You Ready? and Do You Need This? Samples (Excerpts tab) Table of Contents

ART OF PROBLEM SOLVING INTERMEDIATE ALGEBRA (Level: Challenging)

Textbook: Intermediate Algebra by Richard Rusczyk and Mathew Crawford. The book covers some standard Algebra II material as well as topics in Precalculus.

Online Class? Yes, see here . 24-weeks, fast-paced, text-based chatroom (no video or audio). The textbooks are written directly to the student and may be done (self-paced) without the online classes.

BLUE TENT ONLINE - HONORS ALGEBRA 2

Textbook: Intermediate Algebra by Ron Larson. Ebook (hard copy option). Ebook offers embedded videos and demonstrations throughout.

Where to buy: Register at Blue Tent Online.

Teacher Guide/Additional Materials: WebAssign ; Desmos.com ; Blue Tent OnLoan

Textbook: Algebra by Larson and Nolting. Package includes DVDs and textbook.

Textbook: "Flexbooks" that you can view online or download as ebooks (pdf, epub, etc.). Titles - Algebra II , Algebra II with Trigonometry

Teacher Guide/Additional Materials: Unlike Algebra I, Easy Peasy All-in-One High School doesn't seem to offer a CK12 Algebra 2 option. See separate information on Easy Peasy's Algebra 2 course below.

Textbook: Course originally based on the book Algebra 2 by Larson, Boswell, Kanold and Stiff, published by McDougal Littell (2001 edition) and is via recorded (youtube blackboard style) online lectures based on book and Derek's notes. Course materials such as practice pages, and workbook are available for download after registration. If you would rather not print so many pages, the student workbook is also available for purchase in two printed-and-bound volumes from Derek's Lulu store: Algebra 2, Semester 1 and Algebra 2, Semester 2 .

Teacher Guide/Additional Materials: Course syllabus .

Textbook: Algebra and Trigonometry: Structure and Method Book 2 by Richard Brown and Mary Dolciani.

Teacher Guide/Additional Materials: Some support materials are available from the publisher . Please match copyright/ edition information with your textbook before purchase. Solutions manual from Amazon .

Not too clear on edition/copyright year but this teacher offers detailed lesson plans/homework assignments for this textbook (thanks MamaSprout!). You can watch corresponding youtube videos here .

EASY PEASY ALL-in-ONE HIGH SCHOOL

Textbooks and Materials: Algebra 2 Online! and Intermediate Algebra ; it also uses Math is Fun , Yay Math! and Khan Academy.

Online Class? No.

Where to buy: Free.

Teacher Guide/Additional Materials: See lesson plans here .

Textbook: Algebra and Trigonometry: Functions and Applications by Paul Foerster.

Where to buy: Amazon (2005 edition). Rainbow Resource .

Table of Contents from Rainbow Resource

Online Class? Yes. Kolbe Academy (regular) or Kolbe Academy (honors Algebra 2 & Trig) .

Table of Contents from Rainbow Resource

Textbooks: Algebra by I.M. Gelfand and A. Shen (mostly Algebra I) and Functions and Graphs by I. M. Gelfand , E. G. Glagoleva and E. E. Shnol .

Where to buy: Algebra and Functions and Graphs (Amazon links)

Teacher Guide/Additional Materials: Hyperlinked online solutions here for Algebra and pdf solutions here (many thanks to Adrian for this).

Textbook: Holt Algebra 2

Textbook: Intermediate Algebra (ISBN: 9780321279200)

Many editions are available used. The text is self teaching. Each topic is taught beginning to end in a mastery style. Answers to odd numbered questions, and all review exercises and tests can be found in the back.

Textbook: Life of Fred: Advanced Algebra by Stanley Schmidt

Textbook: Algebra 2 by Glencoe (ISBN: 0028251784)

Online Class? Yes. The Classes option is for Live classes with instructor interaction (three sessions/week). The Video courses are self-paced with no live session (but you may request tutor support). Compare classes by clicking the links and scrolling down to the green comparison bar.

Where to buy: Live Online Math Store.

Textbook: Algebra 2 Student Pack.

Like all MUS courses, this is a workbook with no instruction and a test book. The instruction pack including DVD and TM is needed.

Online Class: Yes. Provided by Math-u-See .

Where to buy: Math-u-See Store.

Teacher Guide/Additional Materials: Instructional Pack contains DVD and TM with complete solutions to the workbook and tests.

Textbook: Algebra 2: An Incremental Development (3rd edition) by John Saxon. There is also a 4th edition available.

DIVE offers DVD video lectures on the 3rd edition textbook and also includes Geometry. Art Reed offers DVD instruction as well.

Where to buy: A few sources for the books, including Amazon , ChristianBook , and Rainbow Resource. (ChristianBook and Rainbow Resource sell the 3rd edition full kit as well as the 3rd edition full kit with CDs; Rainbow Resource also sells the 4th edition full kit). Buy the DVD package from DIVE (one of the options includes the full homeschool kit) . Buy the Art Reed DVD instruction videos from Rainbow Resource.

Textbook: Algebra 2 Teaching Textbook and interactive lectures on a CD-Rom

Note: Thinkwell's Precalculus combines the course materials from Algebra 2 with Trigonometry .

Textbook: Package includes video lessons, course notes, and student work text covering Pre-Algebra, Algebra I and Algebra II in one complete course.

KHAN ACADEMY : Free, online, interactive videos (you tube, blackboard style) with online discussion forum .

PRECALCULUS / TRIGONOMETRY

Textbook: All course materials are online. Adaptive software (adapts to learner's level). Course materials are available as Precalculus or Trigonometry .

ART OF PROBLEM SOLVING PRECALCULUS (Level: Challenging)

Textbook: Precalculus by Richard Rusczyk. It covers trigonometry, complex numbers, vectors, and matrices.

Online Class? Yes, see here . 22-weeks, fast-paced, text-based chatroom (no video or audio). The textbooks are written directly to the student and may be done (self-paced) without the online classes.

BLUE TENT ONLINE - HONORS PRECALCULUS

Textbook: Precalculus Functions and Graphs: A Graphing Approach , 5th edition, by Ron Larson. Ebook offers embedded videos and demonstrations throughout.

Online Class: Yes. Online live classes. A Moodle classroom, ZOOM , and WebAssign. Full-year class with live instruction 2x/week (classes are also recorded for asynchronous viewing). Class description here . Resources and objectives here .

Where to buy: Register at Blue Tent Online .

BROWN (Colleague of DOLCIANI - He co-authored her Algebra books)

Textbook: Advanced Math: Precalculus with Discrete Mathematics and Data Analysis, 2003, by Richard Brown (ISBN: 0618250379).

Note: Includes Trigonometry.

Online Class? Yes. Online, live classes at Wilson Hill Academy . More information on Wilson Hill in dereksurf's post!

Where to buy: Out of print. Buy used on Amazon.com .

Teacher Guide/Additional Materials: Solutions manual from Amazon . (1993 edition. Not clear if this matches with 2003 edition.)

Textbook: Precalculus by Larson, Hostetler and Edwards (Houghton Mifflin, 2008). Package includes DVDs, solutions and textbook.

Textbook: "Flexbooks" that you can view online or download as ebooks (pdf, epub, etc.). Titles - Precalculus Concepts , Precalculus , Trigonometry

Teacher Guide/Additional Materials: See here .

Textbook: Precalculus by Michael Sullivan, 4th edition, published by Prentice Hall, 1996. Derek provides instructional videos (youtube blackboard style). Course materials such as practice pages, and workbook are available for download after registration. If you would rather not print so many pages, the student workbook is also available for purchase in two printed-and-bound volumes from Derek's Lulu store: Precalculus Semester 1 and Precalculus Semester 2 .

Where to buy: Textbook available from Amazon . Sign up with Derek here . Derek's book-keeper will send monthly invoices of $58 for 9 months, or $29 if slower-paced up to a total of $58*9 payments. Details here .

DISCOVERY PRECALCULUS

Textbook: Discovery Precalculus: A Creative and Connected Approach

Note: This is quite an advanced and challenging class. Incomplete in terms of problem sets, tests, etc. Suggest For math scholars to take along with a regular Precalculus class.

Where to buy: Free. EdX from the University of Texas at Austin

Teacher Guide/Additional Materials: none

Textbook: Precalculus with Trigonometry 3rd edition (ISBN: 9781465212139), or 2nd edition (ISBN: 9781559537889) but videos might be less conveniently matched with the latter edition.

Where to buy: Amazon (3rd edition). Kendall Hunt .

Teacher Guide/Additional Materials: Home Study Companion (link includes product samples) from Math Without Borders.

Textbook: Precalculus with Trigonometry (2012 copyright, and therefore, might be 3rd edition. Please check with Kolbe Academy.)

Online Class? Yes. Kolbe Academy (regular) and Kolbe Academy (honors) .

Textbook: Trigonometry by I.M. Gelfand and A. Shen

Where to buy: Amazon.

Teacher Guide/Additional Materials: Solutions?

Textbook: Precalculus (ISBN: 9780321528841 )

Many editions are available used. This book has the same content as College Algebra and Trigonometry. Like the rest of the Lial's developmental series, the text is self teaching. Each topic is taught beginning to end in a mastery style. Answers to odd numbered questions, and all review exercises and tests can be found in the back. This level only comes in hardback not workbook style unlike the Algebra books.

Where to buy: Amazon

Teacher Guide/Additional Materials: Student Solutions Manual provides complete solutions to the same problems that the text provides answers for.

Textbook: Life of Fred: Trigonometry by Stanley Schmidt

Textbook: Precalculus Student Pack

Note: This is actually a Trigonometry course, not a Precalculus course. No college algebra topics (such as functions) are covered. MUS repackaged the course they used to call Trigonometry and appended five "Precalculus" lessons on sequences & series, and limits to the end. Like all MUS courses, this is a workbook with no instruction and a test book. The instruction pack including DVD and TM is needed.

Where to buy: Math-u-See Store .

Textbook: Advanced Mathematics: An Incremental Development (3rd edition) by John Saxon.

Online Class? Freedom Project Education . Virtual Homeschool Group (see below).

Where to buy: A few sources for the books, including Amazon , ChristianBook , and Rainbow Resource. Buy the DVD package from DIVE (one of the options includes the full homeschool kit) . Buy the Art Reed DVD instruction videos from Rainbow Resource .

DIVE Sample Sample from ChristianBook

Textbook: Precalculus Teaching Textbook and interactive lectures on a CD-Rom

Placement Sample Pages Demos Table of Contents

Online Class? Not live but instructor support is available via Johns Hopkins Center For Talented Youth. Prerequisites and other details here and here .

ANTON, BIVENS and DAVIES

Textbook: Calculus or Calculus: Early Transcendentals

AP Calculus AB / BC: Yes, up to AP Calculus BC. An AP Calculus test prep book is recommended.

Where to buy: Calculus or Calculus: Early Transcendentals from Amazon.

Teacher Guide/Additional Materials: See publisher website for table of contents, solutions manuals etc.

Review: My Review of Various Textbooks for Calculus by Brad S.

APOSTOL (Level: Challenging)

Textbook: Calculus, Vol. 1: One-Variable Calculus, with an Introduction to Linear Algebra by Tom Apostol

Note: Requires a significant amount of mathematical maturity and a fair background in proofs. Preparation with inequalities recommended.

Teacher Guide/Additional Materials: Free, older edition here . Solutions guide currently unavailable.

ART OF PROBLEM SOLVING CALCULUS (Level: Challenging)

Textbook: Calculus by David Patrick.

Online Class? Yes, see here . 25-weeks, fast-paced, text-based chatroom (no video or audio). The textbooks are written directly to the student and may be done (self-paced) without the online classes.

Placement: Are You Ready? Samples (Excerpts tab) Table of Contents

BLUE TENT ONLINE - AP CALCULUS AB

Textbook: Calculus for AP by Ron Larson. Ebook with hard copy option. Ebook offers embedded videos and demonstrations throughout.

Teacher Guide/Additional Materials: WebAssign and other interactive resources; Blue Tent OnLoan

BLUE TENT ONLINE - AP CALCULUS BC

T eacher Guide/Additional Materials: WebAssign and other interactive resources; Dr. Chung’s AP Calculus BC; Blue Tent OnLoan

Textbook: Calculus of a Single Variable by Larson and Edwards, 9th Edition. (2010). Package includes DVDs, solutions and textbook.

AP Calculus AB / BC:

Textbook: Originally based on Calculus by Paul Foerster, 2nd edition, published by Key Curriculum Press, 2005. The course now consists of Mr. Owens' own materials, including instructional videos (youtube blackboard style). Course materials such as practice pages, and workbook are available for download after registration. If you would rather not print so many pages, the student workbook is also available for purchase in two printed-and-bound volumes from Derek's Lulu store: Calculus Semester 1 and Calculus Semester 2 .

AP Calculus AB / BC: AP Calculus AB only (College Board approved).

Where to buy: Sign up with Derek here . Derek's book-keeper will send monthly invoices of $58 for 9 months, or $29 if slower-paced up to a total of $58*9 payments. Details here .

Textbook: Calculus: Concepts and Applications 2nd edition (ISBN: 9781559536547).

AP Calculus AB / BC: Please check with course provider.

Solutions Guide . Additional activities that go with the textbook.

Textbook: Calculus: Concepts and Applications (2012 copyright, please check edition with course provider.)

AP Calculus AB / BC: AB only.

JOHNS HOPKINS CENTER FOR TALENTED YOUTH (CTY)

Self-paced, online, interactive, computer-based courses. See tabs in the following links for more information:

AP Calculus AB: This course covers topics in single variable differential and integral calculus typically found in a first-year college Calculus I course.

AP Calculus BC: This course covers topics in single variable differential and integral calculus typically found in a first-year college Calculus I and Calculus II two semester course sequence.

AP Calculus C: This AP Calculus C course covers topics in single variable differential and integral calculus typically found in a first-year college Calculus II course, intended for students who have already completed AP Calculus AB, or the first half of AP Calculus BC.

AP Calculus AB / BC: Yes for both AP exams. All three syllabi are College Board approved.

Note: There is an overlap with Thinkwell courses. Higher price is due to instructor support.

Textbook: Life of Fred: Calculus by Stanley Schmidt

Note: Also includes some multi-variable calculus, analytic geometry, vector calculus, and differential equations.

Textbook: Calculus Student Pack

MIT OPEN COURSEWARE (OCW SCHOLAR)

Textbook: Single Variable Calculus online materials via OCW Scholar

Online Class? Not live. All video lectures are recorded.

Where to buy: Free at MIT OCW Scholar .

Teacher Guide/Additional Materials: Syllabus, problems sets and solutions, exams, and all other course materials available on the website. You may also download all course materials for offline use.

PA HOMESCHOOLERS (Online) - AP CALCULUS AB

Textbook: Calculus of a Single Variable - Early Transcendental Functions, 5th Ed. by Larson and Edwards (ISBN: 9780538735520).

AP Calculus AB / BC: AP Calculus AB only.

Where to buy:

Online Class Registration: See here .

PA HOMESCHOOLERS (Online) - AP CALCULUS BC

Textbook: Enhanced Web Assign with Calculus 10 th Edition eBook by Ron Larson, Bruce Edwards (2014) (available in mid-August through www.WebAssign.com for $61.25)

Also available but not necessary: Calculus 10 th Edition Printed Version by Ron Larson, Bruce Edwards (2014) ISBN: 9781285057095.

Or Calculus of a Single Variable 10 th Edition Printed Version by Ron Larson, Bruce Edwards (2014) ISBN: 9781285060286.

AP Calculus AB / BC: AP Calculus BC.

Textbook: Calculus with Trigonometry and Analytic Geometry by John Saxon. DIVE offers DVD video lectures.

Note: DIVE CDs are not secular.

AP Calculus AB / BC: AP Calculus AB only. requires additional prep for AP Calculus BC.

Online Class: Freedom Project Education .

Where to buy: A few sources for the books, including Amazon , ChristianBook , and Rainbow Resource. Buy the DVD package from DIVE (one of the options includes the full homeschool kit) .

SPIVAK (Level: Challenging)

Textbook: Calculus (4th Edition) by Michael Spivak

Where to buy: Amazon (4th Edition), Book Depository (3rd Edition).

Teacher Guide/Additional Materials: Combined 3rd and 4th Edition Answer Book .

Also available: Spivak Calculus 1967 edition, full PDF at Archive.org

Teacher Guide/Additional Materials: See publisher website for resources.

AP Calculus AB / BC: See AP Calculus AB and AP Calculus BC versions.

Teacher Guide/Additional Materials: Quizzes and tests are automatically graded with correct solutions supplied. The homeschool version provides lesson plans (regular Calculus version) .

WILSON HILL ACADEMY

Textbook: Calculus of a Single Variable 10th Edition, AP Edition

AP Calculus AB / BC: AP Calculus AB (College Board approved)

Online Class? Yes, live classes twice per week with additional classes as the AP Exam approaches.

Where to buy: Wilson Hill Academy . Purchase of text through Cengage.com provides additional online resources.

Teacher Guide/Additional Materials: Students are encouraged to purchase the solutions guide for ease, although answers are available online.

RIGOR COMPARISON

MarkT (post #63):

University of Michigan Calculus 1

http://dept.math.lsa...du/courses/115/

It is taken by the majority of students intending to major in mathematics, science, or engineering as well as students heading for many other fields. The emphasis is on concepts and solving problems rather than theory and proof.

http://www.math.lsa....th115.2014.html

"Math 115 is a first course in Calculus at the college level, which is different than high school calculus, even if you took an AP course. This is an extremely hard class, and the ``curve" is tough. You need to be very disciplined to get a good grade."

My Review of Various Textbooks for Calculus by Brad S.

INTEGRATED MATH PROGRAMS

All course materials are online. Adaptive software (adapts to learner's level). Course materials are available as:

Integrated Math I: algebra, linear and exponential functions, sequences, systems of equations, descriptive statistics, and introductory geometry.

Integrated Math II: quadratic functions, probability, advanced geometry, and introductory trigonometry.

Integrated Math III: extending algebra and functions (including radicals, rational expressions, polynomial functions, logarithmic functions, sequences and series), trigonometry, and probability.

eIMACS ELEMENTS OF MATHEMATICS

Elements of Mathematics Foundations is a carefully planned sequence of self-study courses and allows talented students to complete all of middle and high school mathematics up to calculus, in approximately three years.

Note: For motivated students. Placement test (test is free) required .

MATHEMATICS ENHANCEMENT PROGRAMME (MEP) -- FREE!

Note: These are modeled on the European (particularly Hungarian) and British education system s.

MEP GCSE Level : Available in regular, standard/ academic and express tracks and integrates Algerba I, Algebra II and Geometry.

MEP Step-up to A-Level : Transition between GCSE and A-Level courses.

MEP Advanced Level (A-Level) : Includes Functions, Trigonometry, Calculus, Statistics, Mechanics and Discrete Math topics.

NCERT MATH BOOKS -- FREE!

Note: These are used in India (where the education system is inspired by the British system)

Multiple grade levels available for download. Click on each Mathematics link to view download link and samples.

NEM (New Elementary MathematicsSyllabus - Singapore)

Textbook: New Elementary Mathematics 1, 2, 3A, 3B, 4A, 4B (First 2 books are full year volumes, others are half-year). Workbooks for each level are also available. Integrates Algebra, Geometry, Statistics, and Trig topics. Designed for 7th - 10th grades. Program is on the more rigorous side.

Online Class? Cybershala

Where to buy: Rainbow Resource , Singapore Math (Lvls 1 & 2 only), Amazon (used copies)

Teacher Guide/Additional Materials: Yes. Teachers Manual for each level (with answers to only some problems). Solutions Manual for levels 1 and 2 with detailed solutions for all problems.

Scope/Sequence Scope/Sequence (comparison with Dimensions/Disc. Math) Sample Level 1

PHILLIPS EXETER

Textbook: Series of pdfs covering Algebra 1 through Calculus in 4 courses with integrated Geometry included. Additional pdfs for Discrete Math and Multivariable Calculus are also available. The PDFs are not textbooks but carefully constructed problem sets which are used in the Phillips Exeter Academy in a socratic style called the "Harkness Method" . Discussion on this program.

Where to buy: Free (see link above).

Teacher Guide/Additional Materials: Answer keys are not available for download. Apparently, teachers can request answer keys.

An interactive math program.

Algebra: A Complete Course integrates Pre-Algebra, Algebra I and Algebra II.

Geometry: A Complete Course integrates Geometry, Trigonometry and Precalculus.

MATH BEYOND STANDARD HIGH SCHOOL

AMERICAN INSTITUTE of MATHEMATICS TEXTBOOKS

Math for Liberal Arts majors, Precalculus and Calculus, Discrete Math, etc. -- so much to choose from here !

ART OF PROBLEM SOLVING's math courses, in addition to regular middle and high school offerings

Note: Texts are available in print and online editions. Samples and other information available in each link. Be sure to try the Are You Ready? (pre) and Do You Need This? (post) tests to determine suitable placement.

Introduction to Counting and Probability Textbook and Online Class : for students who have mastered basic algebra (equivalent to about first half of their Introduction to Algebra book)
Introduction to Number Theory Textbook and Online Class : for students who have mastered basic algebra (equivalent to about first half of their Introduction to Algebra book)
Intermediate Counting and Probability Textbook and Online Class : follow-up to Introduction to Counting and Probability.
Intermediate Number Theory Online Class : follow-up to Introduction to Number Theory.
Volume 1, The Basics Textbook : for students who have completed the equivalent of Introduction to Algebra book (algebra 1 and part of algebra 2)
Volume 2, and Beyond Textbook : for students who have completed the equivalent of precalculus (equivalent to Intermediate Algebra and part of Precalculus )
Olympiad Geometry Online Class : for students preparing for high school Olympiad competitions.
Group Theory Seminar : a short introduction to undergraduate level group theory.
Problem solving seminars and online classes: See Contest Preparation courses here .

BLITZER'S THINKING MATHEMATICALLY

Textbook: Thinking Mathematically by Robert Blitzer

Teacher Guide/Additional Materials: Solutions Manual from Amazon.com

BOOK OF PROOF

Textbook: http://www.people.vc...ck/BookOfProof/

Where to buy: Free as a downloadable pdf on the above site.

Teacher Guide/Additional Materials: Solutions to odd problems are included in the textbook. Click this link for a sample syllabus from the author. http://www.people.vc...h300/index.html

G'DAY MATH BY JAMES TANTON

Books and resources: http://gdaymath.com/

Textbook: PDFs for Discrete Math and Multivariable Calculus. The PDFs are not textbooks but carefully constructed problem sets which are used in the Phillips Exeter Academy in a socratic style called the "Harkness Method" . Discussion on this program.

Where to buy: Free (click on link above)

Teacher Guide/Additional Materials: Answer keys are not available for download. Apparently, teachers can request the answer keys.

FULLY ONLINE OPTIONS:

eIMACS Advanced Math Logic

Online Class? Yes. All materials are online and students are assigned an instructor for help.

Where to buy: eimacs.com . Not cheap! Three part course materials at almost $1000 per part.

Courses: Applied Probability , Multivariable Calculus , Linear Algebra , Differential Equations

MIT Primes for research projects

NETMath (online college mathematics courses from the University of Illinois at Urbana-Champaign )

Stanford OHSx University-Level Math and Physics (Might not require Stanford Online High School enrollment)

OneStepAtATime

You totally rock, quark. :)

You totally rock, quark. :)

:blush: Thank you One Step!

We all have Dicentra (Connie) and Lori D to thank as role models. :001_wub:

:blush: Thank you One Step! We all have Dicentra (Connie) and Lori D to thank as role models. :001_wub:

SOOOO true. Goodness I love the HIVE! :)

annabanana1992

Dolciani books as well as support materials are still available from the publisher.

http://www.hmhco.com/search?segment=All;mm=all;q=structure%20and%20method

Dolciani books as well as support materials are still available from the publisher. http://www.hmhco.com/search?segment=All;mm=all;q=structure%20and%20method

Thank you! I've updated the post.

Thanks so much Derek! :thumbup: I've updated the Algebra post and will include the Geometry resources when I start the Geometry post.

8filltheheart

You might want to include info on Larson's books. Info is available on Chalkdust's website.

Textbook: Introductory Algebra: Many editions are available for pennies for a used copy. The text is self teaching. Each topic is taught beginning to end in a mastery style. This works well for a student coming in from a weaker curriculum because it fills holes as it goes. Those with a weaker math background will find it a long course, those with a strong background will go through it more quickly. There are many problems, more than enough practice for most students can be found just by doing odds. It offers a complete on-level Algebra 1 course. Answers to odds, all review exercises and tests can be found in the back.

Online Class?

Teacher Guide/Additional Materials: Student Solutions Manual provides complete solutions to the same problems that the text provides answers for.

Textbook: Algebra 1 Student Pack Like all MUS courses, this is a workbook with no instruction and a test book. The instruction pack including DVD and TM is needed. MUS also recommends blocks and inserts, but they are only used in a few lessons and are not necessary.

Online Class: http://store.mathusee.com/catalog/math-u-see/classes

Where to buy: Math-u-see.com

Teacher Guide/Additional Materials: Instructional Pack DVD and TM with complete solutions to the workbook and tests.

Hi Quark, You might want to include info on Larson's books. Info is available on Chalkdust's website.

Thanks 8! Will do that.

LIAL Textbook: Introductory Algebra Online Class? Where to buy: Amazon Teacher Guide/Additional Materials: Student Solutions Manual MATH-U-SEE Textbook: Algebra 1 Student Pack Online Class: http://store.mathusee.com/catalog/math-u-see/classes Where to buy: Math-u-see.com Teacher Guide/Additional Materials: Instructional Pack Placement Sample

Thank you so much Debbie!

Thank you so much Debbie!

I posted too fast. I added some better descriptions.

Thank you Debbie!

Can someone help me out with Saxon and Jacobs? I can fill in the bare bones but since these are popular programs, it would be nice to have details like the ones Debbie has provided for Lial and Math-U-See.

This is awesome! For the Saxon sections, you might want to note that the DIVE CD's are not secular. The Saxon Teacher CD's are.

Chrysalis Academy

Quark, if you are including exclusively online options, we should have schoolyourself.org on here. It has online lessons for Algebra, Geometry, Trigonometry, PreCalculus and Calculus:

https://schoolyourself.org/learn

There are currently two classes on edX using this platform:

Introduction to Algebra: https://www.edx.org/course/introduction-algebra-schoolyourself-algebrax#.VOJztPnF_fc

Introduction to Geometry: https://www.edx.org/course/introduction-geometry-schoolyourself-geometryx#.VOJz2fnF_fc

These are semester-long courses covering a year's worth of high school Algebra and Geometry, respectively. The same lessons are on the website, but the classes give you a syllabus to follow and an option of doing the interactive lessons, or skipping straight to the review for credit.

This stuff is all free.

Jann in Texas teaches online math courses in Pre-Algebra, Algebra 1, Geometry, and Algebra 2. Her site is http://www.myhomeschoolmathclass.com/course-descriptions.html

CLE Algebra 1

Teacher Guide, Additional Materials: Solutions Guide , Math Skill Development Worksheets ( Remedial)

Math Relief Algebra I

Textbook: Dvds with the instruction and worksheets for practice. Includes review of pre-algebra concepts such as fractions.

Also, might want to add to Saxon listing the Art Reed DVDs.

Where to buy: A+ Education Services or Rainbow Resources

Sample Table of Contents Cathy Duffy Review

Where to buy: A+ Education Services or Rainbow Resources

Sample Table of Contents Cathy Duffy Review

Where to buy: A+ Education Services or Rainbow Resources

Sample Table of Contents Cathy Duffy Review

Thank you guys! Taking a short break now and will be working on it again in a day or 2's time. Meanwhile, keep the suggestions coming!

OK, so ummm...I appreciate all of the work this entails, and am utterly impressed with what's already assembled up to Algebra2, but I really need some pre-calc here, guys!

OK, so ummm...I appreciate all of the work this entails, and am utterly impressed with what's already assembled up to Algebra2, but I I really need some pre-calc here, guys!

I'm tackling geometry next because I feel more confident with it...I'd love some help compiling precalc resources too. Kiddo skipped a formal year/half year of precalc to go directly to calc (he is a math guy and didn't need the repetition and hasn't had issues skipping).

I know of AoPS, Foerster and Gelfand's Trig. I think Kathy in Richmond has some solutions for Gelfand's? Not sure if it's a complete precalc program though.

Dolciani's Algebra 2 (kiddo used this) in the algebra 2 post above also has some Trig/ Precalc in it.

No experience with Saxon. We almost used Foerster but decided against it in the end.

Precalculus Info

Textbook: Advanced Mathematics: Precalculus with Discrete Mathematics and Data Analysis (Includes Trigonometry)

Note: Problems in this textbook are offered at three difficulty levels: A for easy, B for intermediate and C for challenge.

Online Class? Yes. Online, live classes at Wilson Hill Academy (uses the year 2003 edition). More information on Wilson Hill in dereksurf's post!

Where to buy: Out of print. Buy used on Amazon.com or from other online vendors and from the publisher 's current stock.

Some updates/corrections for MUS Geometry and Algebra 2

Where to buy: Math-u-See Store

Placement Sample

Textbook: Algebra 2 Student Pack

Lial's does not have a Geometry book, at least not one that can usually be found. Geometry isn't usually taught as a remedial course in CC which is what the books are designed for.

For Saxon, I would note that the Art Reed dvds are secular. Art Reed breaks Advanced Mathematics into 2 levels: Advanced Mathematics: geometry with advanced algebra (lessons 1-90 of Advanced Mathematics) and Advanced Mathematics: precalculus with trigonometry (lessons 60-125 of Advanced Mathematics and 1-25 Calculus).

The Virtual Homeschool Group www.virtualhomeschoolgroup.com offers free secular online at your own pace Saxon classes with rolling admission, including voice threads (similar to Khan Academy) and online computer-scored problem sets and tests. They also have open online office hours where students can ask questions. They sometimes offer an online live class (also free) in one or more levels during the school year if a volunteer teacher is available. Currently, algebra 1 (3rd ed) and algebra 2 (2nd or 3rd ed) are fully available, while advanced mathematics is being built (available in preview mode this year). Students are required to purchase the student text to participate in the class.

Okay, I'm almost finished up to calculus. Would really appreciate additional thoughts, especially on the calculus programs that I have left blank.

Would also appreciate it if someone could help test the links (I'm sure I've made mistakes) and provide suggestions for integrated high school math programs you've loved or plan to use.

In The Great White North

For Foerster Calculus:

I have this: (Solutions to all problems, with some explanations)

http://www.amazon.com/Calculus-Concepts-Applications-Solutions-Manual/dp/1559531185/ref=pd_sim_b_4?ie=UTF8&refRID=1HPSJ64NVA65JV11B41X

and this (activities to go with the calc book)

http://www.amazon.com/Calculus-Explorations-Paul-Foerster/dp/1559533110/ref=sr_1_1?s=books&ie=UTF8&qid=1424653612&sr=1-1&keywords=calculus+explorations

I didn't see Horizons Algebra. https://www.aophomeschooling.com/horizons/8th-grade/algebra-i.html

For Gelfand, don't forget "Functions and Graphs" and "Method of Coordinates," which really should be paired with "Algebra," or at least precede "Trigonometry." A good review is posted at https://math.berkeley.edu/~wu/Gelfand.pdf as a pdf file.

For Calculus, I'd add in the MIT-OCW Scholar sections. These are quite good, and stand on their own.

Anton: You've listed level: challenging and linked to the AOPS book -- was this a mistake? I'd consider it more of a standard university-level textbook.

Stewart: Ditto, very standard university-level textbook.

Chalkdust: Uses Edwards and Larson, another standard university-level textbook.

Spivak: Extremely challenging in a slightly different way from AOPS. Very heavily oriented to theory and proof.

Apostol: Same as Spivak. Math-lovers often find it very difficult to choose between these two texts.

The last two are going to require a significant amount of mathematical maturity and a fair background in proofs. I'd especially recommend work with inequalities.

Anton: You've listed level: challenging and linked to the AOPS book -- was this a mistake? I'd consider it more of a standard university-level textbook. Stewart: Ditto, very standard university-level textbook. Chalkdust: Uses Edwards and Larson, another standard university-level textbook. Spivak: Extremely challenging in a slightly different way from AOPS. Very heavily oriented to theory and proof. Apostol: Same as Spivak. Math-lovers often find it very difficult to choose between these two texts. The last two are going to require a significant amount of mathematical maturity and a fair background in proofs. I'd especially recommend work with inequalities.

Thanks kiana, I was hoping you would weigh in. The entire thread is under construction actually (big red notice in the beginning of the calculus post!) :tongue_smilie: . I am grabbing an hour here and there when I can. :tongue_smilie:

Thanks everyone, I will update later today!

Textbook: Calculus of a Single Variable 10e AP Edition

AP Calculus AB / BC: AB, (approved syllabus)

Online Class? yes, live classes twice per week with additional classes as the AP Exam approaches

Where to buy: www.cengage.com; purchase through Cengage provides additional online resources

Teacher Guide/Additional Materials: students are encouraged to purchase the solutions guide for ease, although answers are available online

Sebastian (a lady)

For the AOPS entries, you might add that the textbooks are written directly to the student and can be done without the online classes. So if the pace of the online class is daunting, it is definitely an option to do text only at a more traditional pace.

MUS Pre-Calculus

This is actually a Trigonometry course, not a Pre-Calculus course. No college algebra topics (such as functions) are covered. MUS repackaged the course they used to call Trigonometry and appended five "Pre-Calculus" lessons on sequences & series, and limits to the end. Like all MUS courses, this is a workbook with no instruction and a test book. The instruction pack including DVD and TM is needed.

Lial's Precalculus

Textbook: PreCalculus (ISBN: 978-0321528841 )

Where to buy: Amazon

Here's a few more items that might be added. Unfortunately, I'm not that familiar with them so maybe others could chime in more on these if they have experience with them.

Keys to Algebra

Textbook: Series of 10 worktexts covering the fundamentals of Algebra. Light version of Algebra I. Discussion on Keys as stand alone Algebra I. Another discussion on same topic.

Where to buy: Cbd , Rainbow ,

Samples

Arbor Algebra

This is a 3 volume program that's been discussed on the Logic Stage boards. I'm not sure how you would divide the texts. It seems like you would need all 3 for complete Algebra I. Here are some threads on it: thread 1 , thread 2 .

For Geometry:

Discovering Geometry - An Investigative Approach

Textbook: Geometry textbook and workbook. Review of book

Teacher Guide/Additional Materials: Yes, a teacher's resource , solutions manual, assessments, online videos

Sample Student Sample Teachers

kiana, I know that you linked Spivak for Ruth a while back but for the life of me, I can't find that thread. Would love that link again if you have a minute. Also, the link for Spivak solutions if you know it.

I found a free copy of Apostol online! (yay!) I'm guessing it's this one on Amazon (newer edition)? I think Kathy has mentioned that there is no known solutions manual. Could you confirm this?

(And while I have your attention, do you think Apostol is do-able after community college calculus 1 and 2 using Stewart and a good background in proof writing prior to that? When you say maturity, do you mean LOTS of prior exposure to calculus first?)

Thanks in advance!

Spivak publishes his own book and also the solutions manual. They're available on amazon but information is here: http://www.mathpop.com/mainhtms/bip.htm

I don't know of any solutions manual to Apostol, but a student who wanted help on a specific problem could post a scan of their work here or on a website and probably get help. As a matter of fact (especially if you're working off the edition I have) I'd be happy to take my best shot at a critique, and I'm sure others would as well. It wouldn't be as useful if you needed help on every problem though.

When I say maturity I do not mean prior exposure to calculus. What I mean is:

1) Patience at working through problems that are not immediately obvious

2) Understanding of what is and is not a proof and a reasonable degree of facility with constructing them

Actually I started typing more and then I decided that I'd just go with someone else's (good) definition -- http://en.wikipedia.org/wiki/Mathematical_maturity

Some students are ready for this after a good algebra and trigonometry course. Others (quite honestly) will never be ready. This is a level of math that many people would find challenging even if well-prepared.

The prior calculus course is often a good idea so that the student is familiar with the concepts and doesn't become lost in the formalism, able to manipulate symbols with facility but not really understanding what an integral is. But I have known other people who paired a really rigorous book like the above with either a physics book that applied the calculus or a 'concepts of calculus'-type book who did quite well.

Spivak publishes his own book and also the solutions manual. They're available on amazon but information is here: http://www.mathpop.com/mainhtms/bip.htm I don't know of any solutions manual to Apostol, but a student who wanted help on a specific problem could post a scan of their work here or on a website and probably get help. As a matter of fact (especially if you're working off the edition I have) I'd be happy to take my best shot at a critique, and I'm sure others would as well. It wouldn't be as useful if you needed help on every problem though. When I say maturity I do not mean prior exposure to calculus. What I mean is: 1) Patience at working through problems that are not immediately obvious 2) Understanding of what is and is not a proof and a reasonable degree of facility with constructing them Actually I started typing more and then I decided that I'd just go with someone else's (good) definition -- http://en.wikipedia.org/wiki/Mathematical_maturity Some students are ready for this after a good algebra and trigonometry course. Others (quite honestly) will never be ready. This is a level of math that many people would find challenging even if well-prepared. The prior calculus course is often a good idea so that the student is familiar with the concepts and doesn't become lost in the formalism, able to manipulate symbols with facility but not really understanding what an integral is. But I have known other people who paired a really rigorous book like the above with either a physics book that applied the calculus or a 'concepts of calculus'-type book who did quite well.

Excellent and helpful. Thanks so much!

the Holt series 200x Algebra 1 and Algebra 2, are easy for self study, have a lot free support material including videos. Dr Burger is a key contributor.

(the down-side is too many distracting photos and side-bars which makes the textbook quite large)

Currently they are cheap on the used market.

< http://forums.welltrainedmind.com/topic/524031-algebra-2-what-to-use/?p=5846174>

For AOPS Intro to Algebra , you might add the following link which has Algebra Tests in a pdf file for download - see post #8 (hat tip to Regentrude).

For the CLE Geometry , you might revise the description. The current edition is not the Sunrise version with neatly divided daily lessons and mixed review but the less user friendly older version. This older version is virtually the same as the Alpha Omega Geometry course. CLE does not provide samples due to AO copyright restrictions but you can see AO samples on CBD

Here's an addition for the Integrated Programs

Philips Exeter Math Program

Textbook: Series of pdfs covering Algebra 1 through Calculus in 4 courses with integrated Geometry included. Additional pdfs for Discrete Math and Multivariable Calculus are also available. The PDFs are not textbooks but carefully constructed problem sets which are used in the Philips Exeter Academy in a socratic style called the "Harkness Method" . Discussion on this program.

I don't know if there's a Misc. category but I thought Eimacs math courses might go in there. They offer courses in Mathematical Logic and an AP Calculus.

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The Art of Problem Solving, Vol. 1: The Basics Paperback – August 1, 2006

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Publisher ‏ : ‎ AoPS Incorporated; 7th edition (August 1, 2006)
Language ‏ : ‎ English
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ISBN-10 ‏ : ‎ 0977304566
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Richard rusczyk.

Richard Rusczyk founded Art of Problem Solving (AoPS) in 2003 to create interactive educational opportunities for avid math students. Richard is one of the co-authors of the Art of Problem Solving classic textbooks, author of Art of Problem Solving's Introduction to Algebra, Introduction to Geometry, and Precalculus textbooks, co-author of Art of Problem Solving's Intermediate Algebra and Prealgebra, one of the co-creators of the Mandelbrot Competition, and a past Director of the USA Mathematical Talent Search. He was a participant in National MATHCOUNTS, a three-time participant in the Math Olympiad Summer Program, and a USA Mathematical Olympiad winner (1989). He graduated from Princeton University in 1993, and worked as a bond trader for D.E. Shaw & Company for four years. AoPS marks Richard's return to his vocation: educating motivated students.

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Teaching Key Math Concepts
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Homeschool Math Curriculums

There are many homeschool math curriculums out there and it can be overwhelming for new homeschoolers! In general Cathy Duffy’s reviews is the place to go to get good comparison information. If your child is dyslexic Homeschooling With Dyslexia has a curriculum review guide specifically for dyslexic kids. However, in all my years of teaching and tutoring I have used a few programs I highly recommend. Here are my favorites that I have personally used:

For a simple but thorough program – Kate Snow’s Math With Confidence

Kate Snow’s Math With Confidence is a newer program. It is currently available to purchase for grades K-3. Fourth grade will be published summer 2024, and volumes up to grade 6 are planned. This is one of the less expensive homeschool programs. All you need is the instructor guide, student workbook, and household materials you probably already have. It is designed for parents who may not have a lot of confidence in their own math or math teaching to be able to effectively homeschool. However, even parents with a math background may appreciate the simple approach and easy prep. The instructor guide is scripted and ready to open and go.

I have used and liked Kate Snow’s other programs like Addition Facts That Stick so I chose to try out the 2nd grade math with confidence with one of my tutoring students. It was a great fit for her as she is basically on level but needs more confidence in her math skills. I have since talked to several parents using this program, and heard nothing but good things about it.

For struggling students – Math U See

For struggling students, Math U See is excellent. It is mastery based which means it will repeat the same concept until students are solid in it instead of going on to something else. It does have systematic review of previously learned topics but does not jump around like Right Start and spiral programs). MUS also is a K-12 program, so you can use it all the way through school if you want. Because of its setup (focusing on one main topic per year) it does meet common core standards but in a different timeline. Math U See will eventually meet standards if you continue using it through all of the levels. However, it may not be the best choice if you are homeschooling temporarily.

The lessons are very straightforward and easy to use. The student book provides 7 pages per lesson. These are 3 practice pages for the new concept, 3 pages of review of everything learned so far, and 1 page of enrichment. The pages have a simple layout with black and white print. This is less distracting for some kids but kind of boring for others who prefer color and visuals. The Math U See blocks are a one time necessary purchase. They are the same concept as Cuisenaire Rods but the size, design and color are unique to this curriculum and will be used at all levels. I have to say I LOVE these blocks. I have used them with lots of kids not using Math U See.

The program includes video instruction (DVD or digital access) meant to be watched by parent and child together. If you don’t want video instruction you can watch the video yourself and then teach your child. If you’re comfortable in math instruction the instructor guide has clear enough instructions that you don’t necessarily need the videos. (I personally tutor using Math U See and don’t have the videos.)

For right brain learners- Right Start

Right Start is my favorite curriculum I have personally used. It is perfect for kids who need hands on manipulatives and games (which most kids do) but do not need the repetition and simplicity of Math U See. There is a lot more variety in activities and it does a fabulous job of building number sense. However, it should be noted that the parent will need to be actively involved for the entire lesson at every elementary level (instructions are not written to the student until level G, which is 6th grade level.) It claims to not require any prep time as it is scripted for you but it does require one-on-one instruction. Also my experience is it can take some time to figure out the instructions for some of the games. You will be doing many activities, exploring math concepts, and playing games with your child. (See here for sample lessons.)

This program is more expensive than others but I think it is worth it. It includes a book with black and white worksheets, a math journal section, and an area to log games played.You will also need to make a one time purchase of a large manipulative kit (pictured below.) For an explanation of each manipulative included see here . The primary learning tool is the AL Abacus, a two-sided abacus that is both kinesthetic and visual. Card games are used as the primary method of practicing skills.

In addition to full homeschool curriculums, Right Start offers tutoring kits for number sense (includes addition and subtraction,) multiplication and division, fractions, clocks and money. They also sell a kit that includes their math card game book, all playing cards and their abacus.

For gifted/talented- Beast Academy

For gifted/talented kids, Beast Academy is incredible! Published by the Art of Problem Solving team, it is the most challenging of the homeschool math curriculums I have seen for grades 2-5. (Older students would use the Art of Problem Solving itself and can choose between online classes and textbooks.) It teaches kids how to think critically and understand the concepts behind the math calculations they’re performing. Beast Academy truly develops mathematical thinking in a powerful way. You can use it online or through books. Here is a thorough review from Kate’s Homeschool Math.

For hybrid online/hands on curriculum- Zearn

If you want your kindergarten-5th grade homeschool curriculum to be a combination of direct and online instruction, my top recommendation is Zearn. Create your free account here . It is a non profit so all of its lessons are completely free. There are hands on lessons for you to use along with digital lessons (these are provided with your free account).The lessons are aligned with Eureka/Engage NY. The lessons are extremely well done and many include printable practice sheets (that the digital teacher walks the student through). The teachers are engaging, most lessons use interactive virtual manipulatives, and there is a wide variety of activities. Students receive immediate feedback on every answer and the online program moves to intervention when needed.

I have personally used the online portion of Zearn with 1st-5th grade students. The charter school where I work part-time uses Zearn as their curriculum and their students do very well. One 3rd grade student I tutored had fairly extreme special needs and using Zearn at a lower grade level was very helpful to him. Average students can easily use the digital program independently. I would only not recommend this one for highly gifted kids. Even if you set them above grade level my experience is it is too repetitive for them (You will also see Zearn listed on my post Math Websites For Kids )

For independent learners- Teaching Textbooks

I have hesitated on whether to include this one because in my opinion elementary math really needs to be teacher or parent taught and hands on. I have used Teaching Textbooks in middle school and high school but wouldn’t personally use it in most cases in elementary school. It is easy to use, has fun graphics, kids generally like it, and it does a fairly thorough job of teaching and reinforcing algorithms. The problem is that it does not teach mathematical thinking and does not meet the standards that would be expected in public school. It will be easy for many students.

However, there are some situations where I have seen it be very helpful. If a parent has a situation where they can’t devote enough time to teaching the child, this can be a great way for a child to independently move forward in math. I have also seen it build confidence and independence in children who have had a bad experience with math and are resistant.

I have heard of parents using Teaching Textbooks and then supplementing with Life of Fred for story based/word problem math.

Teaching Textbooks starts at the 3rd grade level. It is available as a DVD or a digital access program. Students watch a 5 minute video lecture and then complete about 28 practice problems including review problems. They can get step by step explanations of problems they struggle with. Teaching Textbooks does the grading automatically and keeps a gradebook which is useful in checking progress.

For older students with math gaps- Learn Math Fast

I have written a separate post about this program, which you can read here.

Singapore Math-

I am adding Singapore as an update to this post. It was my original homeschool curriculum of choice when I began homeschooling my own children back in 2005. It was a very strong program but I hadn’t used it in years and didn’t feel like I had enough recent personal experience to add it to my list. However, Math Geek Mama has chosen it for her homeschooled children and wrote an excellent post about it that I found worth including! Find her post here.

I now use it as my curriculum for 3rd-6th graders at the hybrid homeschool academy where I teach 2 days a week.

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Suggested Resources Parents' Review Articles About Math Curriculum Suggestions

AmblesideOnline is part of Amazon.com's Affiliate program. If you use our Amazon.com links, we receive a small commission which enables us to cover the costs of keeping the website and curriculum. Amazon.com links are identified like this: ($amzn) or (K), but we have provided links to free and alternate sources as well.

What is mathematics?

As one online source puts it, mathematics is the study of representing and reasoning about abstract objects. In the early years, those "abstract objects" will consist largely of numbers, but as students progress, they will learn to apply their reasoning skills to ideas such as points, spaces, sets, and more. Some teachers and parents view mathematics as a utilitarian, life-skills topic: necessary for counting coins or cows, measuring fields, or doing one's taxes. Others go in the opposite direction: they value the abstract nature of mathematics so much that all their teaching is for those gifted in those areas. In either case, much of the potential joy and wonder of the subject can be lost.

I'm very well acquainted, too, with matters mathematical, I understand equations, both the simple and quadratical, About binomial theorem I'm teeming with a lot o' news, Hmmm... lot o' news, lot o'news... Aha! With many cheerful facts about the square of the hypotenuse.

I'm very good at integral and differential calculus; I know the scientific names of beings animalculous: In short, in matters vegetable, animal, and mineral, I am the very model of a modern Major-General. (Gilbert and Sullivan, The Pirates of Penzance )

Is mathematics an entirely objective, unbiased subject?

Thus, for instance, it often is with 'instruction' and 'education,' Cannot we 'instruct' a child, it is asked, cannot we teach it geography, or arithmetic, or grammar, quite independently of the Catechism, or even of the Scriptures? No doubt you may; but can you 'educate' without bringing moral and spiritual forces to bear upon the mind and affections of the child? (Trench, Study of Words )

We agree with Charlotte Mason and Trench that, while it is possible to offer an adequate, though somewhat lifeless, mere instruction in arithmetic (and some of us may look back at our own schooling in exactly those terms), we are, as Miss Mason said, "jealous for the children," and we believe that they deserve not simply mathematical instruction , but that it should be a vital part of their education . As Miss Mason also said, we also believe that all areas of learning are under the inspiration of the Holy Spirit, and that as those "moral and spiritual forces" are a part of all we do, they must also be reflected in our approach to teaching "matters mathematical."

The giant math tree

(A story from Anne) When I was in elementary school, my arithmetic grades were quite decent, and I even managed to survive the full course of high school mathematics. However, I viewed math mainly as something that people had to get through in school, and which seemed to consist mainly of putting numbers through painful contortions, and later doing the same to points on graphs. Why anyone would want to pursue that subject any further, or find it enjoyable, was a mystery.

Much later, when our oldest daughter was quite small but I was beginning to acquire school-related books for her, I picked up a large book on the history of mathematics (I can't remember the title now). On one of its pages was a drawing of a tree, with all its large and small branches labelled with various kinds of mathematics. Looking at this picture, I had an a-ha moment when I noticed that "Arithmetic" was just one small branch of a very large and complex tree (something like the effect of Monty Python's Galaxy song). My reaction wasn't one of intimidation ("I don't even know what most of those things are!"), but rather of reassurance. There is a great big world of mathematics out there, I thought, and how one does at childhood arithmetic tasks may, but also may not be, significant in predicting how one interacts with that larger tree, or even with other possible unknown trees, during the rest of one's life.

(As a P.S. on that, I found it useful to keep that thought in mind during the next few years, as that same oldest daughter found things like memorizing times tables to be quite difficult, but at the same time showed a strong ability to reason abstractly, and solve puzzles that didn't require remembering how to regroup in subtraction. In fact, she went on to get a degree in math and a job working with computers.)

Consider what Charlotte Mason wrote about early Bible teaching:

Let us have faith and courage to give children such a full and gradual picture of Old Testament history that they unconsciously perceive for themselves a panoramic view of the history of mankind typified by that of the Jewish nation as it is unfolded in the Bible. Are our children little sceptics [sic], as was the young Goethe, who take a laughing joy in pulling their teachers with a hundred difficulties? Like that wise old Dr. Albrecht, let us be in no haste to explain. Let us not try to put down or evade their questions, or to give them final answers, but introduce them as did he to some thoughtful commentator who weighs difficult questions with modesty and scrupulous care. If we act in this way, difficulties will assume their due measure of importance, that is to say, they will be lost sight of in the gradual unfolding of the great scheme whereby the world was educated. ( Philosophy of Education , p. 162)

To misquote this, "Let us have faith and courage to give children a full and gradual picture of mathematics." The fullness of the tree.

How and why did Charlotte Mason teach mathematics?

You will find much ease in your labors from carefully reading and pondering her insights for teaching math in Volume 1 , pages 253-264, and Volume 6 , pages 110-112; 151-152; 230-231.

We encourage you to initiate discussion of these passages with the friendly and experienced members of our forum , among whom there is an astonishing wealth of wisdom and experience in teaching with CM methods.

And what do we say about it?

Is there a "correct Charlotte Mason approach" to math teaching?

Let's start with a much-quoted sentence from Home Education :

The chief value of arithmetic, like that of the higher mathematics, lies in the training it affords the reasoning powers, and in the habits of insight, readiness, accuracy, intellectual truthfulness it engenders. (p. 254)

But here's something else Miss Mason said about teaching:

The objects which bore us, or the persons who bore us, appear to wear a bald place in the mind . . . ( Home Education , p. 263)

First of all, and this has been widely discussed, Miss Mason differentiates between training the reasoning powers and developing them (in the Herbartian sense). Our reasoning is not a seed to be watered by educators in the hopes that it will suddenly spring from the ground; it is, perhaps, more like an already-sprouted plant that can be either trained to grow along certain lines, or left to climb wildly.

Carefully graduated teaching and daily mental effort on the child's part at this early stage may be the means of developing real mathematical power, and will certainly promote the habits of concentration and the effort of mind ( Home Education , p. 257)

Second, when discussing the benefits of mathematics, we tend to focus on "accuracy" and "intellectual truthfulness," and perhaps "habits of concentration," but Miss Mason also mentions "habits of insight." What did she mean by that? In-sight sounds a lot like vision, doesn't it? So to be successful at any more than minimal mathematics skills, we need to develop insight and agility. We need to hone our ability to see what is relevant in any situation (including a math problem), and let go of the rest.

Mathematics are a necessary part of [everyone's] education; they must be taught by those who know; but they may not engross the time and attention of the scholar in such wise as to shut out any of the score of 'subjects,' a knowledge of which is his natural right. (Philosophy, p. 233)

Curriculum: Do we even need one?

In the early years in particular, it may be entirely possible to teach math without a formal curriculum, especially one which requires written work by the student. As in learning to read, students' capacity to comprehend mathematical ideas may outstrip their ability to remember in which direction the "6" goes, and the one should not place a limit on the other. The use of hundred charts, concrete objects, card games, dominoes, coins, and real-life counting and measuring opportunities may form the greatest part of some children's early (or later) math education.

But when we do want a purchased, or otherwise predetermined curriculum, what do we look for? What are some guidelines?

Look for something that explains not too little, not too much, but just enough to make students think. That provides enough practice problems, but not too many. That recapitulates and reviews material regularly, but not to the point of boredom.

And something that doesn't cause your students (or you) frequent tears or tantrums.

Simple, right?

Some of the conflict we have over how to teach math (or how much of it to teach) comes from confusion over words, especially words like "discovery learning" and "rote." The problem is that, like that swinging gate that Miss Mason once mentioned, people on either end assume that there's no middle point. Either you teach math facts, math facts, math facts, and then maybe flounder when students rebel at long division and can't quite grasp fractions; or you grab onto the latest discovery-based fads, such as forcing students to explain every thinking strategy they used in a probability question. In both cases, you just hope that the concepts will eventually click.

In terms of curriculum, for some families the "right" approach might be nothing more than buying a solid textbook or workbook series, or even a set of video-based lessons, and working through each lesson sequentially and at the student's own pace. Other families or classes might be looking at innovations such as ungraded curriculum, or math journaling or hands-on projects.

(Homeschoolers may be given a checklist of topics by an umbrella group, or have to cover certain material to pass examinations. If you are in that sort of situation, of course you will need to consider those additional requirements when planning the year's math curriculum.)

What about "Noah's Ark Math?"

(From Anne) Years and years ago, I think before I even had children, I was shown a school math textbook where all the word problems seemed to be about the animals on Noah's ark. When I later came across Charlotte Mason's passage about not having to correlate math lessons with unit studies, I was reminded of that book. There's nothing at all wrong with trying to come up with interesting word problems in math--I don't think Miss Mason was saying that at all--but real-world connections shouldn't be artificial, and we don't need to fill math class with Bible characters to make it more "Christian." It can stand quite well on its own.

What about manipulatives?

Miss Mason made it clear that she did not approve of certain mathematical gizmos because they seemed to do students' thinking for them. Whenever possible, in any subject, she preferred improvised, noncommercial models. Drawing a quick and simple map in the dirt was considered better than showing children something elaborate and pre-made. How might this relate to curriculum, to commercial math manipulatives, and particularly to number tools such as Cuisenaire rods?

(From Anne) As one who used Cuisenaire rods from the earliest days of teaching my own children, I was of course a bit disgruntled when I came across that passage. However, I finally settled in my own mind that, depending on how these are used , sets of colored rods can encourage mathematical thinking, and particularly the building of number relationships, in a way that is quite within C.M. parameters, and as productively as, say, piles of beans or other individual counters. The key for us was in not marking the rods with numerals, but in allowing them to represent any numbers that were needed for the lesson. (For example, the longest, 10 cm rod might represent 10, but it might also be 100, 1/2, or really any number at all; then the shorter rods would be named in relation to that one. These rods are necessary to use Miquon Math, which listed under Curriculum). Another point would be (as with any manipulative) not to overuse or become completely dependent on them; variety is important.

What about drill and practice?

As in learning a musical instrument, a certain amount of this will usually be necessary in arithmetic, and a short (but important) time in lessons should be given to oral or written practice in things such as skip counting and times tables.

What about calculators? Computers?

What part should we allow electronic devices to play in our everyday lives, and, more specifically, what place they will take in our approach to math teaching? Should we allow the use of calculators at some point to relieve the drudgery of long division and square roots? What are the pros and cons of a completely digital math curriculum? How about the occasional or regular use of online games to practice math facts, or more sophisticated software to model higher math concepts? Space here prevents much discussion of this, but again we must point back to Charlotte Mason's core values: nurturing wonder and curiosity, and using tools well and wisely, but also sparingly, in the hope that we may preserve, as far as possible, our ability to think.

Do We Have to Keep Math Lessons to 15 or 20 Minutes?

For young children, shorter is better, especially when you're homeschooling. Even if you are following a K-3 curriculum that suggests longer lessons, they can often be broken up, or busywork can be skipped. It's also possible, though not always practical, to have separate math-related timeslots, such as a "drills" time or a "math reading" time. And of course lots of math learning can happen in other subjects and in daily activities.

However, back in our early days of C.M. homeschooling, some of us struggled with the misperception that all math teaching should be limited to such short periods, including lessons for older students. Even in Miss Mason's day, that was not the case: the time allowed for math lessons increased as the students grew, and in the upper years a geometry or algebra lesson would probably take three quarters of an hour.

The important point seems to be to keep things in proportion. In cultures with a heavy emphasis on utilitarian education, math and science courses may be given a disproportionate amount of time (plus homework). Miss Mason herself was a bit of a rebel for her insistence that there was more to a quality education than Latin, Greek, and mathematics. Similarly, some homeschoolers claim to focus on the "3 R's," spending a great deal of time on grammar and arithmetic, and less on not only the "fun" fine arts subjects, but on the vital ideas taught in the "social economy" subjects (but that's another curriculum page). No matter what the age of our students, most of them (with, to paraphrase Miss Mason, the exception of a few born math geeks) need a balanced educational diet, and it's up to us as parents/teachers to make sure that happens.

An unpleasant elephant in the room

As arithmetic in particular is a "disciplinary subject," it can become a testing ground, or, more unhappily, a battle ground between teachers/parents and students. Conversely, math class can be a beautiful opportunity for many vital habits, such as perseverance to take root; and for teachers to demonstrate the proper use of authority (see, for example, "Docility and Authority in the Home and the School," in School Education ). Although mathematics may not end up being everyone's favourite subject, it should never be allowed to become the most dreaded part of the day. While it cannot and should not be presented as nothing but play, while sloppy work or dawdling should not be tolerated; and while wrong answers cannot be passed off as correct, math teaching also cannot be maintained for long as an uphill climb to a place with no oxygen. It may be time for a change of scenery (or presentation); for examination of the amount of time being given (too long) or the learning environment (too many distractions); or even, at certain times, for a break from formal math teaching. Something that seems impossible today may be learned quickly six months from now.

(From Anne: This is as true for older students as for younger ones. My oldest daughter, the eventual math major, did very little math during what should have been her ninth-grade year. She was attending public high school part time and had a lot of homework, so the math I had planned to do with her kind of fell through the cracks. The next year, however, she wanted to take math at school, and the counselor placed her in a grade ten class even without her taking the grade nine credit. The rest, I guess, is history.)

No matter what approach is chosen, there are a few things to keep in mind.

We avoid a purely utilitarian approach, but take our cue from Charlotte Mason's educational principles such as "Children are born persons" and "Education is the science of relations."

Consecutive learning mattered to Miss Mason. Not wasting time, in any sense, was important. (Baking cookies is often touted as a great "natural" way to teach math, but there are other less convoluted ways to present those concepts. Miss Mason would probably advise us to keep the math out of the baking, except as it comes up incidentally.)

Accuracy was important, but so was "awe." Presenting things in context, building connections, seeing relationships, were vitally important. That might mean exploring the history of how people understand numbers, or how they have tried to deal with them on clay tablets and blackboards and paper over the years. It might mean providing books like Kenn Amdahl's Algebra Unplugged , a simple overview that might have changed my own outlook on high school math. It might mean the creative use of word problems, and teaching good strategies for solving them, including the estimation of reasonable answers. It might mean doing a mixture of multiplication, division, and fraction questions to help students see that those concepts are all interchangeable. (Once you understand that, arithmetic gets so much easier.)

With those principles supporting us, we may confidently invite our students to join this vital part of the Great Conversation.

Suggested Resources

There are many good math programs available to homeschoolers. When selecting the best fit for your family, consider your own math proficiency, and how much time you can realistically devote to teaching math every day. We list here (in alphabetical order) the resources recommended by AO users (and which have often been reviewed and discussed at length in the Forum). Please read reviews, obtain samples, and otherwise check to see that any resource is appropriate for your needs.

We would also suggest reading the "Important Threads" posts in the AO Math subforum.

Note : Math programs generally follow either a mastery formula or spiral formula. In spiral programs, skills are cycled through lessons for review over multiple years, which is fine as long as the skills are truly mastered when they cycle through the lessons. When selecting a math curriculum, and when planning how you will assess skill proficiency with that curriculum, it is helpful to know from the start whether it is a mastery program or a spiral program.

Books and Websites for Teachers:

Mathematics: An Instrument for Living Teaching , by Richele Baburina, available at Simply Charlotte Mason

An Easy Start in Arithmetic , by Ruth Beechick -- This pamphlet is packed with teaching wisdom for grades 1-3. It's part of the Three R's packet. ( $amzn ) Highly recommended.

Living Math by Julie Brennan-- math resources with a CM focus.

Let's Play Math: How Families Can Learn Math Together--and Enjoy It , by Denise Gaskins contains many, many resources, including book suggestions. Sold at Tabletop Academy or Amazon. ( $amzn ) ( K ) Denise Gaskins' website is a fabulous resource for all kinds of math activities.

Seashell Math by Lynn Hocraffer -- A helpful model for teaching multiplication using CM methods, by the leader of the original cmason yahoo group.

Games for Math , by Peggy Kaye ( $amzn ) A book of fun and effective math games using household objects; for grades K-4, approximately.

Knowing and Teaching Elementary Mathematics , by Liping Ma ( $amzn ) ( K )

The Myth of Ability: Nurturing Mathematical Talent in Every Child , by John Mighton ( $amzn ) ( K )

Read Any Good Math Lately?: Children's Books for Mathematical Learning, K-6 , by David J. Whitin and Sandra Wilde ( $amzn )

Parents' Review Articles About Math

Children's Arithmetic by the Rev. R. H. Quick Home Arithmetic by Mary Everest Boole The First Stage in Arithmetic pt 1 by Rev Quick (part 2 is here ) Mental Arithmetic by Amy Pridham Teaching Arithmetic pt 1 by C. H. Wilkinson (part 2 is here ) Notes of Lessons has a sample math lesson. Nursery Examples of Fractions discusses math for very young children. See Index of Articles for more math articles.

Curriculum for Elementary through Middle School

Beast Academy

Beauty and Truth Math which uses Strayer-Upton Arithmetic books. These books can be accessed online or purchased at Yesterday's Classics .

The Charlotte Mason Elementary Arithmetic Series, published by Simply Charlotte Mason

Frank Hall Arithmetic - Free on Archive.org /Google Books for elementary/middle.

Gattegno Mathematics Textbook I, and others in the series, by Caleb Gattegno. (Uses Cuisenaire Rods) The first book can be accessed at issuu .

Khan Academy -- Free video lessons in math and science.

Life of Fred Elementary Series, Complete 10-Book Set ( $amzn ) Books also available at Rainbow Resources

Math Mammoth -- Affordable downloadable math books.

Math on the Level - a complete homeschool math curriculum

Math with Confidence by Kate Snow - Comment from an international user: "I appreciate the suggestions throughout on adapting content if you're not in the US, rather than having US money and measurements 'baked in'. I think it is a great combination of budget friendly, open and go, and emphasising number sense with concrete objects in the early years." You can find the various texts and workbooks by searching Amazon.com. ( $amzn )

Math U See -- Teaching videos, manipulatives and consumable texts.

Mathematical Reasoning Series, available at The Critical Thinking Co. Elementary level. Comment from a user: "I'm not sure why Mathematical Reasoning doesn't get talked about more . . . It's straightforward, open-and-go, budget-friendly, does NOT require a student book and teacher manual (an answer key is at the back of each book), can be used with things around the house (does not require special manipulatives), is visually appealing, has short lessons, and develops logic."

MEP (Mathematics Enhancement Programme) -- A free math curriculum from the University of Plymouth in Great Britain . Download the practice books, lesson plans, and answer keys (for upper years) through the University website. Password required for use of some portions of the site, but homeschoolers in the US have had no problem obtaining one when they ask. MEP has a Facebook support group .

Minimalist Math Curriculum on ResearchParent.com - recommended by Denise Gaskins of Let's Play Math

Miquon Math -- Based on Cuisenaire rods; very kinesthetic. Teacher-intensive; teacher materials can be confusing. For primary grades. Read an extensive review on Anne White's blog .

Ray's Arithmetic -- Historical, no-frills set of books for grades 1-8; recommended by Ruth Beechick. These are the texts used in US schools in the 19th and early 20th centuries, and the computational skills are advanced compared to modern math texts. Lots of word problems; develops strong mental calculation skills. Affordable; very teacher-intensive.

Right Start Mathematics -- Based on the abacus; teacher-intensive. Favored by many CM teachers. For grades 1-8.

Singapore Math -- Uses methods that have helped Singapore obtain high international math scores. May need supplementing with another math program.

Teaching Textbooks -- An interactive program using CD-roms and an optional text; virtually self-teaching. Also a favorite among CM teachers. Elementary levels through Pre-Calculus.

Books for Math Students: Elementary through Middle School

(Please preview these particularly for suitability--tastes in math reading differ!)

The Number Devil: A Mathematical Adventure , by Hans Magnus Enzensberger. Review from Anne: "A math-hating boy named Robert has a series of dreams, each featuring a little red guy with horns who does amazing things with numbers. The dreams have different topics, but they're definitely sequential . . .and they come back to a starting place, usually ‘one.' (Who knew that 'one' could be so interesting?)" ( $amzn ) ( K )

Alvin's Secret Code , by Clifford B. Hicks (One of Anne's childhood favourites) ( $amzn )

The Phantom Tollbooth , by Norton Juster ( $amzn ) ( K )

The Sir Cumference series of picture books, by Cindy Neuschwander (also at Rainbow Resources ): Sir Cumference and the First Round Table: A Math Adventure ( $amzn ) ( K ) Sir Cumference and the Dragon of Pi ( $amzn ) ( K ) Sir Cumference and the Great Knight of Angleland ( $amzn ) ( K ) Sir Cumference and the Sword in the Cone ( $amzn ) ( K ) Sir Cumference and the Isle of Immeter ( $amzn ) ( K ) Sir Cumference and All the King's Tens ( $amzn ) ( K ) Sir Cumference and the Viking's Map ( $amzn ) ( K ) Sir Cumference and the Off-the-Charts Dessert ( $amzn ) ( K ) Sir Cumference and the Roundabout Battle ( $amzn ) ( K ) Sir Cumference Gets Decima's Point ( $amzn ) ( K ) Sir Cumference and the Fraction Faire ( $amzn ) ( K )

The Adventures of Penrose the Mathematical Cat , by Theoni Pappas ( $amzn ) ( K )

Murderous Maths series, by Kjartan Poskitt, 10-book set ( $amzn )

G is for Googol: A Math Alphabet Book , by David M. Schwartz (and others by the same author) ( $amzn )

Number Stories of Long Ago , by David Eugene Smith ( $amzn ) View for free at Archive.org

Roman Numerals I to MM , by Arthur Geisert ( $amzn )

Curriculum for Middle through High School and Beyond

Art of Problem Solving (for middle/high school)

Algebra 1, from BJU Press

Harold Jacob's Elementary Algebra , Basic Geometry and Mathematics: A Human Endeavor -- Classic texts that are highly rated for being engaging, thorough and yet accessible. Available from various sellers online, including MasterBooks .

Key to . . . Math series of workbooks (Key to Percents ( $amzn ) , Key to Decimals ( $amzn ) , Key to Fractions ( $amzn ) , Key to Measurement ( $amzn ) , Key to Metric Measurement ( $amzn ) , Key to Algebra ( $amzn ) , Key to Geometry ( $amzn ) ). Designed to be used through upper elementary and middle school, and may be useful for some high school students. Recommended also for those who need extra help in target areas such as decimals. ( $earch ) Rainbow Resources

Life of Fred, High School Set 1 (Beginning and Advanced Algebra) ( $amzn ) High School Set 2 (Geometry and Trigonometry) ( $amzn ) Books also available at Rainbow Resources

The Math Page -- Free online courses in arithmetic, Euclid-based plane geometry, and algebra, as well as topics in trigonometry and calculus.

Math U See - Algebra 1, Geometry, Algebra 2

Purple Math -- Free online algebra.

Ray's Arithmetic -- An economical upper-level math course on CD-rom. Check for availability of answer keys. ( Ray's Algebra page images online) ( $amzn )

The Great Courses/The Teaching Company courses -- They offer a wealth of courses that make math come alive.

Teaching Textbooks -- CD-rom courses for Algebra, Geometry and Pre-Calculus.

VideoText -- DVD program for Algebra and Geometry

Books for Math Students: Middle through High School and Beyond

Elements , by Euclid -- The historic, standard text of classical geometry.

String, Straightedge, and Shadow , by Julia Diggins-- A living book supplement which geometry students enjoy. ( $amzn )

Math with Bad Drawings: Illuminating the Ideas that Shape Our Reality , by Ben Orlin. (Previewing recommended.) ( $amzn ) ( K )

Exploring the World of Mathematics: From Ancient Record Keeping to the Latest Advances in Computers , by John Hudson Tiner ( $amzn )

Miscellaneous Helpful Things and Supplements

How to Use an AL Abacus (instead of manipulatives) with Any Math Curriculum

Exploding Dots - Comment from a user: "Great for place value (among other things)."

[Math] Facts that Stick , by Kate Snow. Books for Addition ( $amzn ) , Subtraction ( $amzn ) , Multiplication ( $amzn ) , Division ( $amzn )

Balance Benders , by Robert Femiano: Level 1 ( $amzn ) Level 2 ( $amzn ) Level 3 ( $amzn )

Natural Math (Click Books and Goods) - not really a curriculum, but the books are a playful beginning and/or supplement

Customizable number lines , Math grid paper and Graph paper : choose your size, and print for free.

Monopoly money - Prints ten bills per sheet, which can be used to practice counting money.

From an AO parent: "There is also a wonderful facebook group called Charlotte Mason Math Together which is about using CM methods applied to math."

More detailed comparisons of math curricula: Cathy Duffy Math Reviews (many reviews online; more in Duffy's curriculum guide books)

By Anne White, July 2022

Online Math Curriculum Options You Need to Consider

Hey, just so you know ... This post includes affiliate links. That means if you use them to make a purchase, I may earn a commission. You can read my full affiliate disclosure HERE.

Choosing the right online math curriculum for your child can be so challenging with the countless options that are available. I'm a former math public school teacher, and the options are overwhelming even for me at times! And unless you're a math genius yourself, it may seem a little daunting thinking about teaching math, especially as your child reaches higher grade levels.

Thankfully there are many great options homeschooling parents have for math courses online that can minimize that seemingly daunting task.

What to Consider When Choosing Online Math Curriculum

There are a few things you do need to ask yourself when choosing the best online math program for your kids.

Does your child prefer live math classes or a self-paced program?
Would you like your kids to have an instructor who is not you? Someone else to create their lesson plans and hold them accountable?
Do you want a program that will use machine learning to determine what concepts and math problems your child should be studying, making the learning experience more personalized?
What your state's math requirements based on grade level? Will the program you choose satisfy those requirements?
Does your child respond best to gamified learning or something more rote and less flashy?
Will the online math program provide parent records? Is there a place you can log into to see how your child is progressing?
Will you need to switch programs as your child's math skills develop? Or does will the program grow with them and offer lots of levels of learning?

Considering these questions will give you some criteria to look for as you review each recommended online program below.

… Related Post … The Absolutely Best Math Apps for Kids

Recommended online math courses for homeschoolers.

Here are some of the top online options many homeschool parents use to give their kids a solid math education.

$art of problem solving cathy duffy$

CTCMath helps your family succeed in learning math at home. Their short, concise, easy to understand lessons have won multiple awards, including the prestigious Cathy Duffy award. And it’s the only math curriculum where all lessons and every grade level are included in one low family-friendly price. Plus, you get a full 12-month money-back guarantee.

Techie Homeschool Mom readers can get a half-price discount PLUS a bonus 6-months for free when you register for the 12-month option (that's 18-months of curriculum taken care of!). CLICK HERE to claim this offer and try CTCMath for your homeschool.

SplashLearn

SplashLearn is an all-encompassing educational platform for Pre-K to Grade 5, blending math and reading with interactive ELA & math games and extensive worksheets for an engaging learning experience.

It's standout feature for homeschooling is the well-crafted lesson plans tailored to various learning styles and needs, ensuring a personalized educational journey. This platform supports parents in closely monitoring their child's progress and fosters a lasting love for learning through its adaptive and fun approach.

Spark Math aims to help students really enjoy learning math! The online program serves kids from Kindergarten to Grade 5. The program uses Singapore Math curriculum used by most private schools in the States.

With an interactive small class setting, live teachers, innovative manipulatives and online tools, Spark Math helps students learn math easily and effectively wherever they are. Their students achieve more than just better grades, they discover a way to make math fun, interactive and most importantly, not scary. CLICK HERE to book a FREE trial class and evaluation.

UnLock Math

$art of problem solving cathy duffy$

UnLock Math is designed to reduce the stress and anxiety many students experience with math. This online math curriculum uses instructional videos to engage, explain, and entertain your children, keeping their mind active and alert as they learn. With UnLock Math's unlimited practice material, your middle school and high school students have many opportunities to fully grasp the math concepts. Grab a free trial of the online curriculum HERE .

Nicole the Math Lady

Nicole the Math Lady i s your new best friend if you love Saxon Math, but maybe you struggle teaching it to your kids. Nicole teaches each and every Saxon math lesson for you, with an engaging energy that your kids can't help but love! Homeschool students everywhere are using her on-demand math instruction videos and tips to give them confidence and a solid math foundation. She even offers online grading, so you don't have to do that either. Grab a free trial HERE .

Monster Education

Monster Education offers online classes in a variety of extracurricular K-5 subjects, from Singaporean mathematics to public speaking. They offer classes of no more than 4-6 students, which helps to allocate time for each student. This site has carefully selected teachers and tutors of elite schools. The curriculum designed for doctoral students meets the highest standards.

Beast Academy

Beast Academy is brought to you by the Art of Problem Solving ( AOPS academy ), and is a comprehensive comic-based math curriculum for ages 8-13. In using this program, students begin building out their problem-solving skill stack through rigorous math lessons taught by engaging characters that will remind you of comic books. Available in books and a self-paced online format.

Teaching Textbooks

Teaching Textbooks is a popular online math curriculum for many homeschooling families. Lessons are available for Grades 3 through Pre-Calculus, and they offer a placement test so you can find out which level your child needs to begin with. You can test drive a free trial of 15 lessons in any level, with scores and work transferring if you decide to opt for a paid plan.

eSingapore Math

eSingapore Math is everything you love about Singapore Math…in an online version! Lessons are delivered with state of the art technology that will motivate and empower your kids in learning math. You'll find over 1,000 lessons and 30,000 rigorous practice problems and assignments for every math topic in Kindergarten through fifth grade.

$No need to search all over the Internet for the best math curriculum for your homeschool. Check out this list of recommended online math programs.$

Mathseeds is an online math program for early learners, aged 3 to 9 years. There are a wide variety of lessons and activities available for your child to progress through at their own pace to learn math facts and build early mathematical skills. You can get a free trial of Reading Eggs here , which includes access to Mathseeds as well.

Dreambox Learning

Dreambox is a cloud-based math curriculum that puts emphasis on making it engaging so the kids will be motivated to play and learn. They provide over a million different paths through the curriculum, based on a student's interests and needs. Dreambox works well for children PreK-8th grade.

Secrets of Mental Math

Secrets of Mental Math is an online course offered by Great Courses. Twenty-four half-hour lectures, taught by a mathematician who is literally a magician with numbers, shared specific strategies for performing math operations in your head. You can find this course on Amazon (and is even free with a monthly subscription to Great Courses Signature Collection ).

IXL has math courses online for preschool-aged children all the way up to Calculus. There are a hundred or more comprehensive skills, organized into categories, listed in each grade level. A membership subscription provides one student access to topics in all levels starting at $9.95 per month.

ALEKS is a flexible, research-based online math curriculum solution for grades 3-12 that is accessible virtually anywhere there is internet access. A monthly subscription for one student is $19.95 and there is a family discount program for multiple students.

$art of problem solving cathy duffy$

Mr. D. Math is an online math curriculum developed by a former high school teacher. Students grades 6-12 can learn Pre-Algebra, Algebra, Geometry or Pre-Calculus through self-paced or live classes. Mr. D even offers Boot Camps for ACT and SAT test prep.

ST Math Homeschool games bring more than 35,000 puzzles into your home, with interactive representations of math topics that align to all state standards and learning objectives that target key grade-level concepts and skills. Their game page is a great resource for grade levels K-5, and their visual instructional Homeschool Curriculum is a great way to help your kids build conceptual understanding of math.

Khan Academy

Khan Academy is one of the options for free online math programs that offers personalized lessons to help students fill their gaps in learning. While working with the platform, students get immediate feedback on what they've mastered or still need to work on. You can use Khan Academy for your full curriculum, or just to supplement where needed.

What homeschool math curriculum do you use? Share in the comments and let me know why you like it.

I hope this list helps you in your search for online math curriculum. If you decide to check out some non-techie options as well, here's a great homeschool math curriculum comparison guide to help you out.

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Excellent list Beth! But we feel a little left out 🙁 UnLock Math was voted #1 digital math curriculum by the readers of “Practical Homeschooling” magazine for 2017 & 2018. My wife and I (she’s the math teacher) are homeschool parents and were homeschooled ourselves. We have developed an online math curriculum that currently cover Pre-Algebra through Algebra II, with Foundations (grade 6) Math and Pre-Calculus/Trig. on the way. Please check us out and let us know what you think https://www.unlockmath.com/demo-lesson.php

We are currently living Unlocked Math and the ability redonand practice lessons I know my student is struggling with! She loves the instructional videos and the map type layout that lets her know what’s left to do.

Have you tried ST Math? Curious on your thoughts!

I have not. Are you in the Techin’ Your Homeschool Facebook group? You could ask there and other techie homeschoolers may have some advice for you. You can join here >>> https://www.facebook.com/groups/TechinYourHomeschool/

We have used it. It is a great program but did not work for our kids. If your kids are visual learners, it is an excellent program. If they are not, it is super slow and frustrating.

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ST math is terrible. My kids get to use it for free at their public school. It’s a game based program but it’s not an intelligent program that realizes if you understand the material to move on. Instead, you are forced to do things over and over to redundancy death. Pounding math into a kid isn’t the way to do it especially for kids that grasp things quickly. The graphics are dull and very low level.

What about Teaching Textbooks? With their 3.0 version now online it is a great option. Not to mention it was a Cathy Duffy favorite for years…

We use Teaching Textbooks online. It’s been great for my 3rd and 5th graders in their 2nd year of TT.

Wish this included a review on Live Online Math! I’ve been considering it…..have you heard of it?

These are some great suggestions and would help many parents. One other interesting way to help kids with math skill is teaching them coding. This would help them to visualize abstract math concepts would also make learning fun for kids.

Reflex (Math fact fluency online program)

Reflex is a game-based approach to developing fluency with math facts. It is now available through Time 4 MathFacts ® .

Parents need to do a quick set up for the program, entering a "class name," and students' names. (Don't forget to note down student passwords that are assigned to them by the program. These show up in the class roster.) It's important to note that whatever user name the parent or teacher uses for the program becomes the initial login name for all students, so carefully consider what user name you want everyone to be using beforehand. For instance, a teacher might not want to use his or her personal email address to login since students would then have that email address available to them.

Once signed into the program, students select their name from the class list and enter their own password. The system tracks each student so it is important that students sign in properly to their own accounts. Students create an avatar by selecting a boy or girl as well as height and hair and eye colors.

The program tests a child's typing speed and math fact fluency in the first session through very simple games presented in the context of a fair. Each succeeding session has a brief typing speed and fluency review, again in a simple game format. The program adjusts to the fluent response time of the keystrokes for each player.

If a child misses a particular type of problem a few times the program briefly teaches how to solve those problems. For example, if a student misses 7 x 0 and 3 x 0, it will teach the principle that multiplying any number by 0 equals 0. It continually adjusts problems to the student.

Before students can go on to the real games, Coach Penny might teach some new math facts and give the student a chance to practice them. Students generally play a round of "Coach Penny's Picture Puzzle" to drill and review the new facts. Some days, there is no coaching, and students go straight to the Picture Puzzle or another brief review game.

From there, students can select from nine games to play. At first, only two games are "open," but other games are gradually opened as students progress—others have "closed" signs on them at first. I played to the point where I had three games open, so I didn't actually try the other six games.

Players win tokens which they can use in the Reflex "store" to dress their avatar. Even without the tokens as motivation, the games are really fun and challenging to play.

Students should play about 15 minutes a day rather than for lengthy sessions because they are more likely to develop fluency with shorter, daily sessions than with lengthier, less frequent sessions. Since some children will very likely want to play some of these games for longer than 15 minutes, there is a limit of 120 tokens per day that can be earned to help restrict time spent playing each day.

All games present the same math facts for practice but in different gaming contexts—all with obstacles, pitfalls, or "prizes" to capture while solving math problems. And if students take too long to respond, they'll lose. The games are challenging for both game playing and math practice. They are more complex than those in other math drill programs I've reviewed thus far. While the format of each game differs—e.g., a jumping ninja, flying a hot air balloon, and a Pac Man type game, students play by typing in answers to problems.

Students can see how well they are doing from their own login, and parents or teachers can view or print reports on student progress. Reports tell you how much time students spend on which days, average usage, "facts gained" (for new facts learned), and "fluency gained" (for facts that are consistently answered quickly and accurately). The fluency report gathers information during the first six or seven sessions, and gradually becomes more accurate once the program has more student work to evaluate.

Reflex costs more than some other online math drill programs, but it's more sophisticated than most. You get high quality games that students are really likely to want to play, and the program does a fairly good job of tutoring on missed facts and adjusting the problems to suit what the student needs to practice.

There's a 14-day free trial through the publisher's website, so check it out before buying. A free teacher's guide is available on the website, but you are not likely to need it.

Reflex can be accessed from any computer with an internet connection. There is also an iPad app for Reflex with a 14-day free trial period.

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When prices appear, please keep in mind that they are subject to change. Click on links where available to verify price accuracy.

access for a single student for one year - $39.95

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Time 4 MathFacts
https://www.time4mathfacts.com/reflex/

Note: Publishers, authors, and service providers never pay to be reviewed. They do provide free review copies or online access to programs for review purposes.

Disclosure of Material Connection: Some of the links in the post above are "affiliate links." This means if you click on the link and purchase the item, I will receive an affiliate commission. Regardless, I only recommend products or services that I believe will add value to my readers. I am disclosing this in accordance with the Federal Trade Commission's 16 CFR, Part 255 "Guidelines Concerning the Use of Endorsements and Testimonials in Advertising."

Beast Academy Review: Unconventional and challenging curriculum for curious kids

In-depth and detailed Beast Academy review. Everything you need to know to decide whether this quirky and rigorous homeschool math curriculum is a good fit for your child.

After all, most math curricula don’t include problems that start

The combined cost of a slingshot and a grapefruit is $23…

And I’ve certainly never seen any other math book that includes references to Alex Trebek, The Princess Bride, and Star Wars . (Not to mention comic book monsters with distinct personalities, including a two-headed custodian named Rosencrantz and Guildenstern.)

But, don’t let the humor and the adorable cartoon monsters fool you. Beast Academy is not only a serious math curriculum: it’s the most challenging math program available for these grade levels.

In this review, I’ll explain what makes Beast Academy so different from other programs and help you decide whether it’s a good fit for your family.

Beast Academy is published by Art of Problem-Solving as a lead-in to their rigorous middle school and high school textbooks for advanced students. It’s a comprehensive curriculum for grades 2-5 , with four guides and four practice books per grade.

Beast Academy Guides

The Beast Academy guides serve as textbooks in the series, but they are unlike any textbook I’ve ever seen before. They are full-color, graphic-novel-style softcover books that tell the story of four “beasts” who attend Beast Academy. We follow the four as they attend classes and puzzle over the problems posed by their instructors. Each of the students and teachers has a distinct personality, with lots of humor sprinkled through the text. My favorite so far is the cover of Guide 3D:

This is Guide 3D, and the monsters are watching…a movie in 3D!

The guides use many everyday contexts and visual representations to encourage children to think deeply and understand what they’re learning. Kids can’t just memorize procedures when they have to apply their learning to so many different situations. For example, here are three different ways that the final chapter of 3B presents the distributive property:

Throughout the guides, stop signs in the text remind kids to stop and solve the problems themselves before they read the characters’ answers. The books often provide multiple solutions to the problems to help kids learn to think flexibly about math.

Each guide is divided into three chapters, with each chapter further divided into short sections that help develop the chapter topic. Notes in the guides show when the student should stop and complete the corresponding pages in the practice book.

Practice Books

While the guides introduce the concepts, the real substance of the program is in the practice books . Each chapter has 100-150 practice problems, ranging in difficulty from very basic practice problems to “double-star” problems: challenging multi-step problems that often require quite a bit of time and thought. Overall, Beast Academy has far fewer basic computation problems than other curricula. Instead, basic skills practice is incorporated into the more complex problems.

There are no specific review pages, but previous topics are constantly revisited in new contexts. For example, perimeter and area are introduced in 3A. Then, both topics are reviewed in all three sections of 3B and 3C (in contexts ranging from variables to perfect squares) and again are the focus of the final chapter of 3D.

Support for Parents

In Beast Academy, all of the teaching is done in the guides and practice books, with no teacher’s guides. Instead of teaching lessons, the parent’s role is to discuss the material and encourage and coach the student as he or she tackles difficult problems. When my son did Beast Academy, we always read through the guides together, stopping to discuss as we read. I often sat with him as he solved the more difficult problems in the practice book and solved them myself as well so we can compare answers and solution methods.

Unfortunately, there are no teachers’ guides for parents using Beast Academy. However, the practice books do provide a full solutions guide for all practice problems, sometimes even with multiple solutions. For the starred and double-starred challenge problems, the practice books also provide hints to help kids get started when they’re stuck.

Problem-Solving

Using Beast Academy requires a very different approach to math than the traditional textbook method.

In some ways, this approach is more relaxed, and in other ways, it is more rigorous. It’s relaxed because the focus is on thinking deeply about fewer problems, without much routine practice. But, it’s more rigorous because it requires children to stretch their brains and apply their knowledge in a variety of ways. These problems aren’t just your typical word problems !

Children who are used to whizzing through a worksheet may be frustrated at first to find that they have to work much harder, and that they may not be able to solve every problem. (It can be hard for parents to watch, too–just ask me how I know!) But learning to struggle builds perseverance and a growth mindset, which pays off a lot in the long run.

How much time does Beast Academy take to teach?

Children typically spend 30-45 minutes per day solving problems. Also plan to spend twenty minutes once or twice a week reading and discussing the guide, and at least five minutes a day discussing the problems your child has solved. If your child needs a lot of support and hand-holding when tackling difficult problems, this could take more time.

What should I use before Beast Academy?

The prerequisites for Beast Academy 2A are quite simple: counting by 1s, 2s, 5s, and 10s beyond 100, addition and subtraction to 20, and the ability to solve simple word problems. (Take a look at the Level 2A placement test for more details.) Nearly any formal kindergarten and first grade program will prepare your child with these skills, so read my reviews of other excellent homeschool programs to find the one that will best fit your kindergartner or first grader.

What type of learner thrives with Beast Academy?

Beast Academy is a great fit for children who do well in math but are easily bored with lots of repetitive practice. The program requires patience and perseverance for difficult problems, but it also helps to build patience for children to whom it doesn’t come naturally.

I do not recommend Beast Academy for children who struggle in math (and neither do the authors.) If you think the comic book style would appeal to your child, but you’re not sure it would make a great main curriculum for your child, the Guides make a great supplement.

How much does Beast Academy cost?

A full year of guides and practice books (four of each) costs $108. No manipulatives or other resources are needed.

If Beast Academy doesn’t sound like fun for you and your child, don’t use it! There are plenty of other excellent math curricula that follow a more traditional format. Check out my curriculum page for reviews of my other favorite programs to help you find one that’s a good fit for your family.

But if your child loves to wrestle with interesting, thought-provoking problems and thrives when concepts are presented with lots of context and visuals, Beast Academy might be a great fit. Despite the cartoon monsters and jokes, it is a thorough, rigorous curriculum that prepares children well for higher-level math.

Updated May 2020. This is my honest opinion of the program; I was not paid or compensated in any way for the review.

Some of the links in this post may be affiliate links. If you buy an item through an affiliate link, I may receive a commission, at no additional cost to you.

Please note that comments are closed on this post. If you have a question, you can contact me here .

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82 thoughts on “Beast Academy Review: Unconventional and challenging curriculum for curious kids”

This is a wonderful review, thank you! This helped me to decide whether to get Beast Academy for my kids or not.

I’m so glad it was helpful!

Our very mathy/sciency/geeky family is also loving Beast Academy. I wish I’d found it sooner!

I love it for my super-geeky second grader because it’s stretching his mind with challenging problems that involve spatial reasoning. But I also think Beast Academy would be great for kids who struggle with math because they need to know WHY formulas work instead of just being content to memorize and apply them. These books really give students the WHY up front.

One thing I do notice with Beast Academy, however, it takes us a LOT longer to get through this curriculum than I’m used to. Partly this is because the problems are much more challenging, which is great. But partly it’s because he is VERY involved in the story and the characters so the math is kind of absorbed in the process of something that feels more like Harry Potter With Monsters. I think this is good on the whole. The problem sets really are challenging – they are explicitly designed to help students develop the mental grit to handle AMC and Math Olympiad problems, and later on to tackle the kind of non-trivial open questions that real mathematicians work on. This is a vey different kind of mental attitude than normal school work where you everyone is supposed to “know” the answer. And paradoxically it’s harder for talented kids when they first encounter real math problems because they are used to math being easy for them. So the monsters and humor and engaging characters definitely help ease the tension.

That said, if you are used to handing your child a Kumon book and having them bang out 6 or 8 pages while you cook dinner … this a very different experience. There is a lot of time in working on BA problem sets where you just have to be able to chill out while your kid fidgets, groans, twists their hair, goes to get a drink of water, and so forth … until suddenly the light bulb goes on. It’s made me think a lot about our unspoken assumptions of what “learning” looks like. Because all that fidgeting, etc, is exactly what I do when I’m faced with a hairy physics problem. But somehow it’s really hard to watch a 7 year old do that and not tell them to stop fidgeting, look at the paper, and concentrate. This has really made me think about real learning versus the appearance of learning. And also about how public school teaching undercuts precisely the work habits that typify really successful research scientists. If we really wanted to build the next generation of technology innovators we would probably spend half of math class outside playing ultimate frisbee … and then go back inside and finish the problem set 🙂

I think y hit the nail on the head in your earlier post about how sometimes it’s better to solve just ONE problem. There is way too much busy work and not nearly enough brain work in most grade school math books. The only other books for grade schoolers I know that use this approach of giving a small number of “thinking problems” instead of reams of “just apply the formula” problems are the Ed Zuccaro’s Challenge Math books. Those books are great math books for kids who are budding engineers and physicists at heart. But Beast Academy offers a more systematized, complete curriculum. And it’s more focused on pure mathematics. I particularly love that it puts geometry at the core of the curriculum from the beginning. This is SO different from standard US school math where kids can literally arrive in college calculus courses with NO CLUE that a quadratic equation describes the area of a rectangle (ARGH!!!!!)

So far I have to say that this is the single best grade school curriculum I’ve seen for giving kids a leg-up on that all-important first rung of the ladder toward higher mathematics.

JW, there’s so much I agree with in your comment that I don’t even know where to begin! 🙂

I was definitely one of those advanced students who flew through my math and science courses, but then was aghast to realize that I didn’t actually know how to solve problems. I hit a wall halfway through my college math-major courses when I didn’t know how to struggle with proofs and mull them over without feeling discouraged. Fortunately, I was able to limp through and complete my major, but it was a humbling experience. I’m so glad that Beast is helping my math-loving kid experience that struggle now, so that he’ll learn perseverance as an eight-year-old and not a twenty-year-old.

When I look back at my experience as a teacher, I also question a bit what I was trying to achieve. I was often trying to make the road so smooth for my students that they would learn without doing any hard work for themselves…but I realize now how I was often depriving them of the chance to figure things out for themselves! You’re right, it’s a very different picture of what good learning and teaching are.

Thanks for the excellent reviews and the back and forth in the comments. I luckily stumbled upon BA earlier today as I was doing more research on a math program for my son. Love the comic book style, but really love that BA focuses on critical and spatial reasoning and not just rote memorization. Discussion on our expectations of what learning really looks like vs what we’re comfortable with it looking like really rang true also. Thanks!

You’re most welcome, Melissa! I hope you and your son enjoy it. 🙂

Hi Kate! This is such a great review, I was looking up Art of Problem Solving a few months ago so I was interested in what you had to say about Beast Academy. My twin boys age 9 have struggled with math. We took all of our children out of public school in the beginning of October of last year. We did some backtracking with education.com worksheets and Singapore math. However, I still don’t see them “getting it.” Math always came naturally to me, so teaching them has definitely been a challenge. I’m not sure where to go from here. They don’t quite grasp the concepts and I’m trying to teach the way they learn but I feel like I’m not doing such a great job.

LONG STORY BORING, I’m worried that Beast Academy might be for more advanced math students…if you disagree let me know. But if you agree, do you have any suggestions for me? I would appreciate them so much. I jumped the gun and already ordered Singapore for the year, but I have been trying to find an alternative math curriculum.

Hi Rachel, glad you enjoyed the review! I love Beast Academy, but I do agree that it is generally geared for pretty advanced math students. (Richard Rusczyk, the founder of Art of Problem Solving, spoke at the WTM conference this spring and said pretty explicitly that their audience is the top 5% or so of math students. I disagree slightly with him–I think their products work for a much broader variety of kids–but they are certainly aiming for kids who really enjoy math and need a challenge.)

With 9-year-olds who need a better conceptual foundation, I’d suggest doing a number sense/place value “boot camp” to review those essential ideas and skills and get them solid. My favorite resource for this is RightStart’s “Activities for the AL Abacus” book and worksheets. It goes through everything from beginning place value to multiplication and division, but you can pick and choose which activities your kids need most and spend the most time on the areas where they need the most work. After you go through that (perhaps it would take until about Christmas?) I expect your kids would be in much better shape to jump back into Singapore. If they’re not used to reasoning and thinking in math, it can definitely take some time to change their habits–but it’s so worth it!

I’d also recommend reading Arithmetic for Parents by Aharoni to help you as a teacher. I’m haven’t had a chance to write a full review yet, but I read it this summer and found it so helpful at laying out the key teaching moves that kids need at different stages of elementary math.

Thank you! I appreciate your input, I actually have the Right Start Activity set, which I’ll admit I forgot that I had until last week. Silly, I know. I try to read the book you recommended asap, hopefully it will help me in teaching them math. My expectation all along was for my kids to love math, because I did. I realize now how that’s unrealistic,. But, I do think they can be good at it, understand it’s concepts, and still not like it; as long as they “get it.” Thanks, again.

way too many typos in that last comment for me to fix. HAHA! just forgive me 🙂

I stumbled upon BA yesterday while researching curriculum for our upcoming school year. My son, who is 9 and has completed 3rd grade, is having some math difficulties. He is so bright, grasping concepts quickly, but he hates doing math because he struggles to memorize his math facts from addition to division. It isn’t all the facts, but he seems to require “tricks” to come up with the answer for many of the facts. My question is two part. Do you have any insight as to how I might help him memorize in a way he can remember, and if I start in 3b, will the work be too hard for him? He was able to pass the 3b pretest, but did a lot of the figuring and figiting you spoke of. He took one look at the pretest for 3d and 4a and was far to intimidated to even try (even though he has learned all the skills necessary to solve the problems on both tests. The multistep, “deep” format of the questions had him very intimidated. He did however LOVE all of the puzzle type questions. I have tried both A Beka Arithmetic (he hated it) and Saxon Intermediate, he hated at first but eventually got so he didn’t fight me as much every day. I love the look of the text book, and the idea of fewer , but tougher problems each day. Am I crazy to have him go back 3/4 of a year to try this?!?!?!?

Frazzled Mom in Texas

Not crazy at all! Beast is extremely challenging, and it’s not at all a step back to start with even 3A. It might help to keep in mind that Beast is written for kids to be ready to start the very-challenging Art of Problem Solving’s Pre-algebra text after 5D. So, even if you spend three full years on Beast, your son would still be ready to start pre-algebra in 7th grade, which is right on target. Plus, he’ll have much deeper critical thinking skills and hopefully a love of math, too. Saxon and Abeka can be useful for some students, but my son would absolutely rebel with that much review and repetition.

If your son passed the pre-test, I’d expect he’ll do just fine with Beast. I’d suggest continuing to spend a few minutes on the math facts each day as you use Beast, but he’ll get lots of embedded practice in the problems. I’ll be posting much more on the math facts in September (and will be publishing a book for mastering the addition facts) so stay tuned for lots more math facts help soon.

Thank you so much for your thorough review. I had been considering Beast Academy for my daughter (8 yrs, starting 3rd grade) because she just wasn’t enjoying math. Even though she’s bright, she’d get so bored with the workbooks and the drill that she’d quickly lose focus. Then she’d start telling herself that she “just didn’t like math”. I knew we needed something different. After reading this review, I ordered 3A, not sure whether it would be a bit too advanced for her or not. I decided to do some quick Math Mammoth Blue series books (we’re flying through add/sub. 2B now and will move on to multiplication 1) each day to help reinforce her basic skills, but my daughter has just LOVED Beast Academy. She was skeptical at first, but I’ve seen her come alive as she works to figure out very challenging problems. Some days, she’ll sit and want to read then practice with B.A. for almost an hour. This is incredible to me, considering that last spring, I struggled to get her to work in Singapore for 15 minutes. Truthfully, I can’t always solve the harder problems without a glance at the answers in the back of the book!! That being said, another bonus with B.A. is that I sit with my daughter and we talk through the challenging problems together, both working to see if we can figure it out. Humbling as it is, she’ll sometimes spot the solution before I do! So, Beast Academy seems to be guiding me into a deeper understanding of mathematics right along with my daughter!

Erika, that’s wonderful! Thank you so much for letting me know! I’m so glad that your daughter is discovering that math can be a fascinating journey rather than a dreary slog.

hi Kate! where do you recommend buying Beast Academy from? Home School Bldg? how’s your school year going? we miss seeing you guys every week at CC!

Hi Renae, We’re having a great year so far this year–hope you are, too! I’m not sure whether the Homeschool Building carries Beast Academy. I usually buy mine from Rainbow Resource. 🙂

I wrote back in August as “Frazzled Mom in Texas”. I just wanted to thank you so much for you advice and support concerning Beast Academy. We have completed 7 weeks with B.A. and I am thrilled to say that it is working!!!!! My son, who was so discouraged, has completely connected with it, and is loving math now. In fact, he gets giddy when he sees the starred problems! I never thought we would find ANYTHING that would pull him from the “I hate math” blues, but truly Beast Academy has breathed new life into this part of our homeschool!

Do you know of any other curriculum, for other subjects that teach in similar ways?!?!?!?!?!?!?

Melissa, that just warms my math-loving heart! I’m so glad your son is loving the challenge of Beast Academy and learning to love math again, too.

I agree, if only every subject were like this! You can take a look at the link on the side for what I use, but unfortunately none of the other programs I use are very Beast-like. One curriculum that a lot of people seem to like for challenge in language arts is Michael Clay Thompson’s language arts program. (I personally use a very boring one, though, so I can’t vouch for it personally. 🙂

We’ve been using Beast Academy for 6 months (with a lag during the summer) and my 9.5-year-old just completed 3B. I love Beast Academy and so does he, but it is definitely a challenge. In fact, I found parts of 3B to be a bit too challenging for the previous work given. They jumped to double-digit multiplication pretty fast. So, we supplemented with some Singapore and that helped my son with the lack of understanding.

I appreciate the comment about going slower as the lesson progresses. My son flew through 3A, mostly on his own, and I held the same expectations for 3B. That wasn’t necessarily the case and his difficulty with memorizing multiplication facts has caught him more than once. However, we’ll continue on to 3C because he really knows the material at the end of the lessons – a much better transfer of skills than with just cranking out worksheet after worksheet. But, first I think we will do some practice in Singapore and focus on those multiplication facts.

I agree, Liz: my son also knows the material so deeply by the time he’s worked through a Beast Academy chapter. But more practice with the multiplication facts has been essential for him, too. I added in the Kumon 3rd grade multiplication book, plus a little flash card drill each day to really get the facts solid. (Singapore is a great complementary program, too.) Kids who use Beast definitely need to know the math facts well so they can devote their brainpower to problem-solving and not figuring out basic multiplication.

I’m sold! But my oldest is only four years old. Can you recommend a preparatory curriculum?

Glad I’m so persuasive, Sally! 🙂

For your 4-year-old, check out my just-published Preschool Math at Home. It prepares a child well for all three of the curricula that I’d recommend considering before Beast Academy: RightStart, Math Mammoth, and Singapore Math. (To be ready for Beast Academy, you’d want to have your child work through RightStart Level C, Math Mammoth 2B, or Singapore Math 2B. My favorite of the three is RightStart, but it’s not the best choice for every family. Take a look at the reviews under the Curriculum tab at the top of the page for the pros and cons of each ..

Thanks! I will check out your book! Also, I saw the tentative release dates for their second grade curriculum so I am hopeful that it will be released a year or so before she will need it. I’ll report back after going through preschool book with my girls. :}

Yes, I can’t wait to see to see what the 2nd grade curriculum covers. I’m hopeful that my current kindergartner will get to use some of the 2nd grade, too!

Your review was excellent and I agree with all your points! My son has been doing BA since 3A. Unfortunately for us they are not pumping them out fast enough. Next year he will have to move to the first regular AoPS book without being able to complete 5C or 5D. Is there something that he can work through over the summer to get him up to speed? Perhaps Math Mammoth? He has really disliked every other math program that we have done (MUS and TT). Thanks!

Thanks, Michelle! I’ve heard of a lot of parents who’ve gone straight from 4D to Pre-algebra without any problem, because the Pre-algebra book covers a lot of the same topics as the Grade 5 books. So you might be fine just starting the Pre-algebra books.

I get the sense that the main challenge that the Pre-algebra book provides isn’t so much the math content, but the new textbook format and the challenging problems. So, if you’d like to make sure your son has at least some exposure to those topics before starting it, I suggest using a few of the Key to Decimals and Key to Percents books. They’re thin, inexpensive workbooks (available from Rainbow Resource) that provide a gentle conceptual coverage of those topics. They’re nowhere near as fun or challenging as Beast, but they would get the ideas across to prepare a child for pre-algebra.

First, just wanted to say that I really loved your episode on Pam Barnhill’s podcast! Thank you for all the wonderful suggestions over there.

I do have a question for you about Beast Academy. You mention that it is a good fit for students strong in math who are a bit bored with other options. I’m wondering, though, if you think it might work well for a student who isn’t quite as strong in math, but is a very strong reader and artistically minded and might enjoy this format more than a traditional approach? My daughter does well with the high concept parts of math, actually, but just needs more time to memorize math facts and procedures. We have been using Math U See (we are halfway through Beta) and while it seems to be working alright, sometimes it is not super exciting and sometimes I worry that it is too easy or simplistic, such that she might struggle with upper level math later on. I’m a little hesitant to switch from something that works reasonably well, but I’m wondering if Beast would help spark that love for math, or if it would just frustrate us.

So glad you enjoyed the episode, Danielle! It was so fun to talk with Pam.

I think it’d be well worth trying Beast with your daughter. You’d need to finish Beta first (as Beast requires that kids be fluent with addition and subtraction before beginning), but then 3A would be a great place to start. Beast might prove to be a good fit because it gives kids lots of practice with the facts and procedures, but in the context of more interesting problems.

Two things to keep in mind: 1) Read the FAQ at beastacademy.com/faq before starting. Make sure you especially note that the first chapter in 3A is one of the hardest in the whole series, so feel free to skip the most difficult problems near the end of that chapter.

2) In general, if your daughter ends up enjoying Beast but gets frustrated by the double-star challenge problems, it’s okay to skip them, too. She’ll still get lots of conceptual understanding and interesting practice simply through solving the more straight-forward problems. But who knows, maybe she’ll discover that she loves the challenge of really meaty problems? 🙂

That is very helpful, thank you!

I was wondering if beast academy is working toward doing there math for higher grade levels as well?

They offer a excellent, challenging math curriculum for pre-algebra through calculus called Art of Problem Solving. But alas, there are no comic books or monsters (and no plans to extend the Beast curriculum, sadly). You can learn more about the upper grade materials at artofproblemsolving.com.

Hi Kate, me again. My rising 4th grader is trying out Beast 3A this month as I decide what to do for the fall. Stick w/ Singapore or make the switch? It’s too early to tell on her part, but as I flipped ahead I noticed several words I’ve never seen and can’t pronounce in the latter half of the Shapes chapter. So I’m wondering, for a Liberal Arts-loving, English major mom like myself, is Beast just too tall an order? There’s going to come a point (maybe very soon!) where I will be of no help. I want the very best for my children and I don’t want to assume they’re not “mathy” because I wasn’t. I thought Beast might broaden their horizons and flip switches in their brains that even Singapore won’t. I don’t want them to be limited by my limitations (I’m sure all homeschooling mothers feel this way). AND YET, is Beast Academy really best for kids w/ math-whiz parents in residence? I’m perfectly willing to read through with her and consult the answer key at the back, but how important is it for me to already be familiar w/ these concepts? I’m no moron, but spatial reasoning was always my weakest area on IQ tests and such. I know you’ve said Chapter 1 of 3A is one of the toughest. Thoughts? I need to make a decision in the next couple of weeks.

Definitely don’t let the shapes chapter stop you! I’d never heard of most of those words at the end of the first chapter either, and I majored in math! (I’m also terrible at spatial reasoning myself, I have to admit.) The point of that chapter is incremental improvement from wherever kids are with their spatial reasoning, so don’t worry at all if your child can’t solve every problem.

I’d say to do all of 3A before you make a decision. The next two chapters are quite different, and they’ll give you a much better feel for how the program handles more traditional topics, like multiplication. If you don’t feel comfortable with it after all of 3A, then maybe it’s not for you.r family. (And going back to Singapore is a fine option–it’s a great program.) But if you find that your kids are thriving on the level of challenge and that you’re able to help them along with the answer key, then full speed ahead!

What else do you recommend which has a similar focus on problem-solving? I heard about “Kitchen math” series – how about the level; anybody familiar with it?

I’ve heard great things about Kitchen Table math, but I haven’t used it myself. (It’s also highly recommended by Art of Problem Solving, the company that makes Beast Academy, which is quite an endorsement!)

There are more challenging problems (contests) for ages 9-10 upwards listed at http://www.moems.org/ and http://www.primarymathschallenge.org.uk/ . Do you know of anything else, or for younger children?

Math Kangaroo has some good sample problems along these lines for younger kids. I think you’d probably want to look at the Levels 3&4 problems: http://www.mathkangaroo.org/mk/sample_questions.html

You can also buy their full tests from previous years for only $2.50 once you figure out which level you want.

Thank you so much for writing these reviews!!! I have a quick second grader who loves math, and he FLEW through Singapore 2A and B this year (finished in March). I grew up doing Saxon, which I’ll admit was great for rote memorization, but it made me hate math (nor was I ever able to understand how parabolas worked, despite sometimes getting the right answer to a problem). I don’t want to do that to my son, so I’ve been looking for something both interesting and rigorous. When you said “Beast Academy is a great fit for children who do well in math but are easily bored with lots of repetitive practice” – that describes my son to a T – so thank you for the confirmation!

I bet your son will LOVE it, Sarah! Enjoy!

I was looking to see if anyone had recommended Beast so I can link to it for friends, and I’m so glad I found your post because it is excellent! We have used 5A-5C, and are just starting 5D now for my 7th grader and it has worked great as a prealgebra course if you just ignore the “grade 5” label on the books and are not aiming to do MOEMS or math olympiad anytime soon. I think Richard Rusczyk is unnecessarily limiting his audience with these grade level labels and his statement that the books are geared towards the top 5% of students. Sure, maybe only the top 5% can do this at the grade level listed, particularly if they have to unlearn a rote memorization method from previous math curricula or school, but if you wait a couple of years for reticent math learners, this is a great way to start from scratch for anyone (see Youcubed.org) so that they learn how to think and not just follow procedures. I’m an engineering graduate and I have not known how to do some of these problems, mainly, I think, because I was good at learning the rules as a child but problem-solving, not so much. For other problems, I’m glad I had read the first chapter of AoPS Prealgebra and had a new understanding of the arithmetic properties, because that’s osmething I think we missed by going straight to 5 instead of doing 3 or 4. We are starting 4A for my 4th grader now because I think he’s ready for more formal math and he’s interested–my eldest at that age was not ready for formal math, we more did games and talked about concepts as they came up in everyday life, aside from a stint trying to learn the times tables. The times tables did not stick for her until she got to factoring in 5B, and now it and division all make sense to her in a way that it did not before, and probably would never have if I had forced her to learn it the standard way first. So, there is more than one road to Timbuktu and I think Beast is a fantastic addition to the map, however a family wants to use it.

Glad you liked the post, Bellastr! I agree, limiting Beast Academy to the top 5% of students is unnecessarily limiting. )I suspect Richard Rusczyk has focused on high achievers for so long that he’s forgotten what the other 95% are capable of, too. 🙂 ) Using Beast Academy in my own homeschool has been an absolute joy.

Thanks, Kate, I agree that BA is a joy to use (especially after trying some less than joyful curricula in the past). 🙂 Interestingly, I just noticed that in their FAQ they say essentially the same thing I just said, now if they would just change the back of the book to say that too since kids can take that sort of thing to heart (“I’m in 7th grade–I don’t want to use a 5th grade book!”):

https://beastacademy.com/faq/books

Hi Kate, Thank you for the indepth review! I have a rising 6th grader who fits your description ( hates rote math and endless problem sets, wants some thing more creative and conceptual) BUT- she has gotten turned off math generally , even though her teacher says she’s one of the top kids in class and has great “math sense”. I’d love to try Beast Academy to see if we can re-ignite her learning before she starts 6th grade . Oddly, it seems that hte #A-D books are where she should start – she just got through operatiosn with fractions & mixed numbers in class. I’d love your suggestions or recommendations!

Yikes, I can’t edit my comment – but I meant that the 3A- 3-D books seem to be the best fit, even though she’s headed for 6th grade. I looked at the 4A pre-test and it seemed pretty far beyond where she is both in knowledge and enthusiasm. Mostly I’m looking for a summer math supplement to her required school work !

If you’re looking for a fun summer math supplement, Beast is a fabulous option! You’re right–even though the Level 3 books mostly focus on topics like multiplication and division, they go waaaaay further than any other third grade math workbook. The problems in 3A in the geometry, perimeter and area, and even “skip-counting” sections are some very interesting math that even puzzle-minded adults will find interesting. I’d say to go ahead and give 3A a try. Just skip any introductory pages that are too easy for your daughter in each section and go straight to the good stuff!

Happy Math! Kate

Hi My son is turning 10 in july and will be moving to grade 5 in september 2018. I ordered BA 5 all books(A,B,C &D) we never did before any of BA books. My son is ahead in math and he loves doing math. WIll BA starting at level 5 wbe too much? should I also do level 4 or 3 before starting 5?

If your son loves math and is doing well with it, I think you’ll be fine starting in level 5. The topics covered in Beast are pretty comparable to other curricula–they’re just covered in much more depth, with many more challenging problems.

Hope your son enjoys it, and happy math! Kate

My twelve year old son was pushed through to the sixth grade in public school. Nearly every year since second grade, the school would question whether to advance him and each year they did. He would barely eek through. When in sixth grade, we realized this was not for him. They would keep promoting him but he never seemed to really get the concepts. I think he understands more than he lets on most the time (he’s rather be doing anything else than school) but his assessments are at about 2nd grade since he still doesn’t get multiplication. That being said, I really like the looks of BA. My son loves graphic novels and it’s about the only thing he reads. Do you think this would work for him? To challenge his lazy, I’d rather be playing video games but I can be pretty smart when I try, attitude and mind. I would start him in the lower level and he would be happy with that (he says it makes him feel smarter) and I’m hoping it will teach and challenge him from the time his parents and his school failed him and catch him up.

It sounds like Beast could be a great fit for re-setting how he feels about math. The graphic novels are so much fun, and the interesting problems hopefully will get him more interested in thinking about math. You’d probably want to start him in 3A (which begins laying the foundation for multiplication) and then work up from there.

Hi Kate, Thank you so much for this post/ review. I feel a kindred spirit with Becca above…I have boys ages 9 & 11. They have been trudging through math for the past few yrs together. (Both finished 4th gr. CLE) The 9yr old is mathy & sees the world in patterns, numbers, etc. The other. Has hated math since the beginning but I feel that my traditional (Saxon, CLE) teaching may have killed any spark he may have had. The 9 yr old just needs to be let loose & I think BA will allow him to soar ( ecstatic mommy here!). However my 11 yr old only knows algorithm/ step by step math. He’s great with skip counting math facts, counting ridiculously fast on fingers for + & -, but he doesn’t see the whole picture/ concept… He just heard in his mind’s song what comes next. He has to put the algorithm on paper to solve basic 2 digit addition & subtraction problems. Conceptually he’s lost. He’s progressing through to 5th gr Math in CLE (but technically in 6th gr) but all joy is gone. He dispises math. I feel I need to start at the basics to remediate him or he’s never going to understand any higher level math. What do you recommend? Would BA be good? What level? I’m going to start his brother at 3A but I don’t know if that would be right for him. He’s also very unmotivated by anything other than comic books, legos & preteen boy humor!

Thanks for your insight

One more thing. My 11 yr old processes new info very slowly..very very slowly. That’s why we have hung onto drill & kill for so many yrs. But when he gets it…its solidified. Does BA have enough practice for this kind of mind?

Hi Boymom33,

Sounds like BA will be a great fit for your 9yo! Unfortunately, I don’t think it will work well for your 11yo. He can certainly read along with your 9yo and enjoy the graphic novels, but it won’t have enough practice for him. It definitely requires kids to already have pretty good number sense and mastery of the basic facts, too.

I’d definitely recommend doing some remediation before moving on. My Facts that Stick books would be a great place to start, and then Activities for the AL Abacus and the Rightstart card games could be a good way to remediate the other gaps without a much drudgery. (Use the search in the menu above to find my full review and description of Activities for the AL Abacus.) After he’s more comfortable with these basics, take a look at Rod and Staff. It provide clear, step by step instruction, but without the excessive review and dizzying spiral of CLE. I’ve found it to be very helpful for kids who struggle in math.

Best wishes, and happy math! Kate

Hi Kate, Thank you so much for this website! I have learned so much reading your articles and comments. I really appreciate that you take time to respond to the comments. I am debating what to do about math for my 8 year old daughter. She will be entering 2nd grade. We have done Horizons math for K and 1st. I felt pretty neutral about it but she *hated* it! It is not that it was hard for her, quite the opposite. If she ever had a day without the drama and wailing/gnashing of teeth then she could get two lessons done in about 15-20 minutes. But most days it was an hour-long struggle with tears, distraction, and melt downs. So, I am exploring different options for next year. Tonight she and I spent time looking at the sample pages of Math Mammoth, Beast Academy and CLE math. I was leaning towards Math Mammoth but she actually seemed to like Beast Academy and I think she could handle the higher-level thinking required (I think it would be good for her), so we might go with that. My question is what are your thoughts about the 2nd grade book? I see that they say the 2nd grade levels will all be out by winter of 2019 so we should be right on track. Have you looked into the 2nd grade books at all yet? I know they are new. I’m worried that she will need more practice with the basic math facts than they provide because she is just starting to get a handle on those. (We actually started using your addition facts that stick book this summer because I thought she wasn’t getting it and she surprised me with how well she did. But I think we will continue to go through it once we start school again just to be sure.)

My second question is what to do with my rising kindergartner. I don’t think I can be consistent to get any math done with her without an actual curriculum so I would like a book she can go through. I was thinking to just do Horizons with her since it was fine and I’ve already used it once. Then I thought we could transition to Math Mammoth in 1st grade. But, now that Beast Academy starts in 2nd grade would that be too much switching around in those first 3 years of school?

Thanks for all the wisdom you bring to this tricky area of homeschooling! 🙂 -Emily

Beast 2A begins with place-value, so I think you’d be fine starting there even if your daughter is still working on mastering the facts. I’d suggest just making sure to practice the math facts for 5 minutes per day as part of your lesson time so that she fully masters them.

For your kindergartner, I hear you on using a curriculum! Even as a curriculum writer myself, I always like an open-and-go program so that I don’t have to waste any time or energy deciding what to do next. (I even use my Facts books this way.) No need to worry about switching around a lot in these early grades–all these programs cover similar basics, so I don’t expect you’d have any trouble with gaps.

Hi Kate! I stumbled across this review while researching BA for my two older kids. I can tell it would probably be perfect for my rising third grader. We have always used Math U See, and he was so bored with Beta this past year that we just quit doing math about 2/3 of the way through the year. Not the best solution I know, but he was cranking out four or five worksheets without thinking about it and also I was pregnant with #6 and a little overwhelmed! I was wondering what you think about startingbhim out in 3A. Should I go back and cover some of the material in the new second grade program? Make him finish up Beta first? He thinks super logically and already solved problems in ways that were not taught in the book, but is impatient with the process and just wants to skip ahead to, “Mom I already know the answer. Why do I have to write it out?”

My daughter is a rising fifth grader. She has also done Math U See. In the very beginning Math was a challenge for her so we slowed down a bit. However she has sailed through easily and she just completed Gamma this past year and would be ready for Delta this year. She also easily knocks out several rote worksheets every day but doesn’t have the boredom problem that my son does. Where might she fall on the BA spectrum?

I also have a rising first grader. What might I use with him that would get him ready for BA 2A next year?

Thank you so much for the great info!!!

My 8yr old just started using Beast Academy online (and doing the physical worksheets). She is through the first chapter of 3A and LOVING it! We tried Singapore Math & it wasn’t a great fit for her. She was bored. BA problems require a lot of effort, but she is a willing participant now! I love the reporting for parents from their new online site. I also love that we can access all three grade levels in one subscription. If she breezes through third grade math before the end of the year, we can start level 4 without additional costs.

For your third grader, I think you’d be fine starting him in 3A. That was actually the first book, and it doesn’t expect that kids know much beyond place-value, addition, and subtraction.

It’s a little trickier for your 5th grader. I think I’d put her in 3D so that she got some solid fraction work in before starting level 4. But definitely take a look at the table of contents to confirm my hunch, please!

For your first grader, any solid first grade curriculum will prepare him for Beast. You can continue with MUS, use Singapore, Math Mammoth….really, anything that teaches addition and subtraction along with some place value and mental math will be just fine.

So glad that your daughter is loving BA online! The program can really transform math for kids who are bored by math. Thanks for the info on the reporting, too. I haven’t had a chance to hop on it myself yet, but I’m looking forward to it. 🙂

For my daughter (7 yr old, starting 2nd), we definitely want to start online with 3A (they only do 3-5) because living o/s it is hard to get the books. However, I can bundle my order (online and books). Is it worth getting the books as well?

The graphic novel guides are quite lovely, but you won’t need them if you’re doing the online program. So, it’s really just a matter of personal preference and budget. Either way is fine.

Happy math! Kate

Hello Kate,

Thank you so much for your review of Beast Academy. I have just started searching for math programs for my six year old, who has (by far) the strongest natural math skills of my four children. He can quickly multiply and divide numbers into the hundred thousands by two, including multiple regroupings, all mentally. He can read and understand numbers into the quintillions. He knows squares and square roots through the 12s. He can tell me change for a purchase if I tell him the price, make him add ten percent tax, and then give him a larger quantity of money from which to subtract. Really, anything I have thought of to throw at him, he understands almost immediately. Because of the mental math nature of Singapore, I had planned on starting him this year in that series, but I am now wondering if this product would be a better fit. Most of his instruction thus far has just been from “playing math” with me, as he was bored by kinder math in public school last year, which is one of the reasons we are homeschooling this year. What would you do?

I’d say to go for it! Your 6yo sounds like the perfect fit for Beast Academy (and he’d likely be impatient and bored with Singapore). He may be ready to start later in the second grade books, or possibly even in 3A–take a look at the placement tests that they offer on their website to find a good starting place.

Thank you so much for this review! When I was a teacher we as a grade level decided to combine two programs because there really is no perfect curriculum. But there are some that do a better job than others! With my 7yo, we did Abeka in K and then moved to CLE for first grade. I have noticed all the troubling elements in CLE that you have mentioned in other comments (it’s not teaching the understanding of math). Because of this review I’m looking at purchasing the Activities for the Abacus book and the Abacus from RS to supplement the rest of this year and then using Beast Academy for 2nd grade. My 7yo is good at math but becomes very frustrated when he doesn’t immediately grasp a concept. I think the Abacus will be a good bridge for him to think more concretely about math and use less counting on his fingers etc. My youngest will be entering K this fall, and I’m torn between a lighthearted curriculum where he’s learning his numbers and values (like The Good and The Beautiful) and starting him with RS either midyear or for first grade. He’s completely different from my first born in that he’s never been one to push to “do school” and I’ve followed his lead on that. Why is math so hard to decide on!?

It’s so true! Math can be a conundrum. Different programs just work better for different learning styles…and sometimes we just have to experiment before we know what works best.

Activities for the AL Abacus and Beast Academy would be a great combination. BA will cover all the important concepts and problem-solving, and Activities for the AL Abacus will give you lots of good computation practice.

I so appreciate you sharing your math help with all of us! I’m currently trying to decide on math for my rising 3d grader for next year. We’re finishing up Singapore 2 now. He does well with it, using the IP for extra depth, and I like it as well. I know Singapore finishes teaching multiplication tables in grade 3 and some other fundamentals. Wondering if it’s worth it to keep going with Singapore through grade 3 and then switch to Beast or go ahead and make the leap. Should we try to fit in both? I love the idea of Beast Academy, but wondering if one more year of fundamentals is helpful. If it’s working, why rush a switch? Or go ahead and go for a stronger, more problem-solving based curriculum? Thanks so much!

You’re in the happy position of being able to choose whichever you prefer! I agree: if it ain’t broke, no need to fix it! Both are great programs, and your son will get a thorough math education with either. If you or your son love the idea of Beast, you’d be fine switching to level 3, too. The only thing I would NOT do is try to do both in their entirety. There’s just too much math, and you’d likely end up feeling overwhelmed. But one option would be to continue with Singapore and dabble in BA when you feel like you need a little change of pace.

Hi Kate – Thanks so much for your thorough review. My daughter is in 5th grade. She’s pretty good at math. She gets A’s and as of her last standardized test, she is in the top 10% nationally. I recently learned about math competitions and came across AOPS and Beast Academy and became immediately disillusioned. We just started and she’s doing pretty well with the 5th grade Beast Academy stuff but I was actually getting really upset because I thought her school was failing her when I saw several topics they’re covering in Beast Academy that she’s not touched yet at her school. I have been doing more research and thanks to your blog and others I’m starting to see that I shouldn’t be as stressed as I was. Beast Academy is meant to be very advanced.

My original goal was to get her ready for competitions but honestly, while she’s good at math, after seeing Beast Academy, I don’t think she’s at competition level. At least not yet. She wants to enroll in Advanced Math next year and her teacher thinks she can do it so I was hoping to enroll her in pre-algebra via AOPS over the summer to prepare her. I enrolled her in Beast Academy as a refresher. Now, however, I’m concerned that it may be too soon to go ahead with Pre-Algebra 1. I haven’t had her take the pre-test yet but just from a quick glance, I think she would pass it without an issue. My problem is I’m not sure it would accurately dictate that she’s really ready for pre-algebra. I may be over thinking it but I don’t want to set her up to fail and I’m not even sure if she needs to take pre-algebra yet to excel in Advanced Math in 6th grade next year. When I met with the Advanced Math teacher several months ago, I was told, my daughter will need to know integers, writing equations, balancing and some other things. What do you think I should do? Should I stick with Beast Academy for now and just let her get really proficient at that then wait until school starts in the Fall to go ahead with Pre-Algebra? I was trying to take advantage of summer break to really get some work in.

I’m a right-brained person so math is definitely not my thing and I don’t want to push her too much and then not be able to support her if she struggles since I’m the one who will be working with her most often even though my husband is better at math than I am. I also want to challenge her but don’t want to waste $400+ if she gets tired of it all. Decisions, decisions……

Thanks for any feedback you can give!!!

I would only do the summer Pre-Algebra class over the summer if your daughter absolutely adores math and wants to spend a lot of time on it this summer. If that sounds great to her, then go for it! But otherwise, I think you’re right that she doesn’t need to do that to be prepared for advanced math next year. And knowing AOPS, it’ll be a challenging and time-consuming course.

Beast Academy provides plenty of preparation for pre-algebra, so instead I’d just try to use BA to target those topics you know she needs for next year, especially the integers and simple equations. They’ll likely review all those topics again anyway in Pre-Algebra, and she should be fine as long as she has some background with them. You could also add in the Life of Fred Pre-Algebra books, which are a fun summer supplement and would be another good way to understand equations better before tackling the advanced math class.

Sorry if I missed this in the comments above, but what do you think of the Beast Academy online resource? I just started going through the 2A book with my son, who likes it so far. I am extremely impressed with AOPS in general (and learned of Beast Academy from their site). School age kids who want to do math have amazing options.

I’ll note that, to date, I’ve had good luck with apps (eg, all DragonBox apps) and online resources (eg, Reflex Math). My son is 4 (and enters pre-K in the fall) so apps and other game like methods of learning math have proven to be good ways to teach basic math concepts and get him interested in math. He’s gotten very good, from what I can tell, at most of what they teach through first grade and is exceptionally motivated to do math (he cried once when he found out he missed a math class at the Russian School of Mathematics because he was sick). He’s also fairly relentless as long as you’re there to offer help, so given his motivation level and temperament, I think that Beast Academy is the way to go for him, whether just in print or online as well.

P.S. Your preschool math book really opened my eyes to some of the very fundamental numerical skills very little kids have to learn.

Glad you found the preschool book helpful! I haven’t looked at Beast online in a lot of detail, but I’m with you–I trust AOPS to make good materials, and I wouldn’t hesitate to use it.

Thank u kate for through review about beast academy.. i enrolled my kids who are 6 and 9 in beast academy online..they are gifted and are enjoying it.. would u plz recomend anything good for english language arts. i am not impressed by institutes like kumon ,eye level,best brains for that matter. i know its offtopic, any suggestions will be greatly appreciated.. thank u.

We just started a home school program with our 13 y/o daughter. She would be in 7 th grade if in public school. She has done well with public school math, in that she got good grades, but doesn’t feel like she is “good at math”. She actually struggles with addition and subtraction. She still sometimes uses touch math or her fingers to count basic addition. As a side note, she loves graphic novels and cartoons. What are your thoughts on starting her with BA? And how far back would we go? Addition and subtraction are taught in 2nd and 3rd grade! She is enjoying some free lessons at BA online right now; she started herself at 2nd grade. I just need a little input from others…home schooling is new to me.

With a 7th grader, I’d only use Beast Academy as a supplement. Reading the guides and doing the lessons online could be a great way to build her confidence and make math more interesting. But if she wasgetting good grades in math in public school, she’s likely ready to tackle a program that’s on grade level, even if she occasionally has some trouble with basic calculations. (My math facts books would also be a good supplement if you’d like to remediate the basic facts and make sure she can do them without counting. )

Thanks so much for all the time you take to share your knowledge, and answer each comment!

I have a 7.5 yo son whose mind loves solving problems and whizzes through his 2nd grade worksheets. He has a quick and logical mind.

He attends a local charter school. His teacher and I are looking into BA as supplemental work to keep him learning while his classmates are working on the current material. (I also hope to continue it during the summer.) She currently gives him worksheets from later on in the curriculum, but wondered if he might even be ready for 3rd grade level math. In our recent parent/teacher conference, she said his mind automatically knows answers. She will sometimes need to show him the process of how he got there, but once he understands it, it’s solid.

He’s excited to do BA, and to see himself as a Math Beast. So far, he’s taken pretests 2A and 2B. The word problems give him the most challenge. He’s anxious to take pretest 2C. I think he missed all the word problems in 2B. I’m curious to see how he would do with pretest 2C, but also wonder if I should start his guide and practice books on 2A or B to give him an intro to BA itself. I would hate to have him miss any important foundations.

I think during school, we’d want him to work as independently as possible, so his teacher can give her attention to the students who need more support in 2nd grade work. I’m more than happy to work through things with him at home. Would this approach work? Should we also maybe just have him work on his math facts during school?

Thoughts? Suggestions? Thanks so much! Jody

That’s wonderful that he enjoys math so much! Based on what you’re describing, I’d suggest having him read the Guides for 2A and 2B (to get him oriented to the program), and then start doing the practice books in 2B or 2C. Those books introduce the characters and the approach, so it’s probably best not to skip them entirely.

The independent work plan makes lots of sense. The great thing about Beast is that it allows kids to go deep, not fast, so that they don’t get too far out of sync with their same-age-peers while remaining challenged and interested. I bet he’d be bored to tears just doing math facts–Beast is a much better option.

Thanks so much Kate, I’ll get those ordered today 🙂 I appreciate your counsel. Jody

I like your books. They are expensive but worth it. But I wish you would at least ship them for free, considering the fact that you send them media mail, which is very inexpensive for you and takes a full week to arrive.

Leslie, do you mean the Beast Academy books? I’m not affiliated with them in any way, so that’s an issue you’d need to raise with them.

Hi Kate! I’ve recently discovered your website and some podcasts you were on and have found your insights to be so helpful! My second son is currently in second grade and BEGGING to homeschool next year, saying he’s bored in school and tired of staying on the same topic for weeks after mastering it on day one, particularly in math. He’s also expressed frustration with not being allowed to find creative ways to solve a problem. He has always been very “mathy” and had a mind for mental math. My goal in homeschooling would be to provide him with more of a challenge while significantly lessening the book work so we can reinforce with games, Manipulatives, enrichment activities, and just have more family time.

After a lot of review, I am leaning toward Beast Academy. If my son struggles in one area, I think it would be trouble with focus/persistence (the reason he didn’t technically pass the test to be in the gifted program this year, though his teacher is giving him all the same assignments as her “gifted” students and he’s still bored.) My hope is that BA might give him the challenge he needs/wants in math while also perhaps teaching him a little more about persistence when he has trouble solving something (something he currently rarely has to experience), while also scratching his itch for creativity.

Am I on the right track? Or should I consider Singapore Math or one of its cousins?

If I do go with Beast Academy, is there any reason not to go with Beast Academy online? He prefers anything online based but I don’t want to do that if there are disadvantages.

In the meantime, he is begging to start multiplication. Is there something you suggest I supplement with while he’s still in public school/2nd grade to give him a jump start? Maybe Math Mammoth light blue Multiplication? Or your Multiplication Facts that Stick? Or maybe an online game or resource for now? Or should I just make him wait?

Any guidance would be much appreciated!

Your son sounds like a perfect candidate for Beast Academy. I definitely think you’re on the right track with that! BA online wasn’t available when I was using Beast with my son, so I’ve only looked at it briefly. If I were teaching it now, I personally would go with the printed books rather than the online program, as I think they’re more conducive to the kind of focused and sustained thinking kids need to do to really get the full benefit of the program.

Yes, Multiplication Facts That Stick would be a great way to get started with multiplication. It’ll feed his appetite for math and also give you a chance to “try out” homeschooling a little, since it has scripted lessons and games for you to do with him.

This is so helpful, thank you! I went ahead and ordered Multiplication Facts that Stick for now, and if we decide to move forward with homeschooling next year I will stop searching and plan to go with BA like my gut said to do. 😊 I will do the placement tests but generally speaking, even with the introduction of multiplication this year while he’s in second grade, I assume 3A would still be a good place to start next year?

Yes, 3A would be a good place to start. The first few multiplication lessons will be review, but then it will ramp up.

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A comprehensive textbook covering precalculus topics. Specific topics covered include trigonometry, complex numbers, vectors, and matrices. Includes many problems from the AIME and USAMO competitions. Related course: Precalculus

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The art of problem solving 7th edition

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Art Of Problem Solving Book 1 And 2, Hobbies & Toys, Books & Magazines
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Art of Problem Solving Prealgebra Solutions Manual
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Art of Problem Solving, Inc.
Art of Problem Solving, Inc. Reading and Phonics Parent Resources and Other Helps. Reading, Phonics, and Literature Web Links and Supplements. Weblinks for Standardized Testing & Special Needs Services. Online Schools with Complete Programs and Courses: Religious. Online Schools with Complete Programs and Courses: Secular.
The Art of Problem Solving Math
The Art of Problem Solving (AoPS) math courses for grades five through twelve were designed for high-performing math students. The publisher says on their website,. We present a much broader and deeper exploration of challenging mathematics than a typical math curriculum and show students how to apply their knowledge and problem-solving skills to difficult problems.
Art of Problem Solving
Art of Problem Solving is an. ACS WASC Accredited School. Online math classes, advanced math textbooks, math games, and more for high school and middle school students. Find out why our students win so many awards.
Art of Problem Solving
Art of Problem Solving offers a wide variety of free resources for avid problem solvers, including hundreds of videos and interactive tools like Alcumus, our popular adaptive learning system. Alcumus It offers students a customized learning experience, adjusting to their performance to deliver problems that will challenge them appropriately.
Homeschool High School Math
Sample Table of Contents Cathy Duffy Review ART OF PROBLEM SOLVING ALGEBRA 2 (Level: Challenging) Textbook: Introduction to Algebra by Richard Rusczyk. Algebra II is Chapters 14-22 of the book. Online Class? Yes, see here. 15-weeks, fast-paced, text-based chatroom (no video or audio).
The Art of Problem Solving, Vol. 1: The Basics
The Art of Problem Solving, Volume 1, is the classic problem solving textbook used by many successful MATHCOUNTS programs, and have been an important building block for students who, like the authors, performed well enough on the American Mathematics Contest series to qualify for the Math Olympiad Summer Program which trains students for the United States International Math Olympiad team.
Math curricula reviews for homeschooling
Beast Academy (math) A Beka Arithmetic series. Beyond the Page Math. BJU Press Math: K5 - 6. Charlotte Mason's Living Math: A Guided Journey. Christian Light Education Mathematics for grades 1 - 8. CK-12 Interactive Math Series. CTC Math. Developmental Mathematics.
the Art of Problem Solving, Volume 1: the Basics Textbook
The Art of Problem Solving, Volume 1, is the classic problem solving textbook used by many successful MATHCOUNTS programs, and has been an important building block for students who, like the authors, performed well enough on the American Mathematics Contest series to qualify for the Math Olympiad Summer Program which trains students for the United States International Math Olympiad team.
The Art of Problem Solving (AoPS)...
The Art of Problem Solving (AoPS) math courses for grades five through twelve were designed for high-performing math students. AoPS courses cover the...
Homeschool Math Curriculums
In general Cathy Duffy's reviews is the place to go to get good comparison information. ... Published by the Art of Problem Solving team, it is the most challenging of the homeschool math curriculums I have seen for grades 2-5. ... and it does a fairly thorough job of teaching and reinforcing algorithms. The problem is that it does not teach ...
Math
Art of Problem Solving (for middle/high school) Algebra 1, from BJU Press. Harold Jacob's Elementary Algebra, ... Cathy Duffy Math Reviews (many reviews online; more in Duffy's curriculum guide books) By Anne White, July 2022. More By Subject: Artists; Bible; Composers; Exams; Folk Songs;
Online Math Curriculum Options Worth Considering
Beast Academy is brought to you by the Art of Problem Solving (AOPS academy), and is a comprehensive comic-based math curriculum for ages 8-13. In using this program, students begin building out their problem-solving skill stack through rigorous math lessons taught by engaging characters that will remind you of comic books.
All Math Books Available at AoPS
Solutions: 208 pages. An intermediate textbook in counting and probability for students in grades 9-12, containing topics such as inclusion-exclusion, recursion, conditional probability, generating functions, graph theory, and more. Related course: Intermediate Counting and Probability. Text and Solutions $ 62.00.
Elementary Math Curriculum for Educators
Count on a Math Leader. Beast Academy is the elementary math program created by Art of Problem Solving, a global leader in advanced K-12 math education. Since 1993, our trusted advanced curriculum has prepared hundreds of thousands of motivated students for college and career success.
Dimensions Math (levels 6-8)
Dimensions Math (levels 6-8) Singapore Math Inc. 15 September 2020. Students completing Singapore Math's Primary Mathematics series are faced with an unusual problem when they complete the sixth level. Students at that point are generally beyond most seventh-grade math programs. The Dimensions Math series for grades six through eight should ...
Reflex (Math fact fluency online program)
If a child misses a particular type of problem a few times the program briefly teaches how to solve those problems. For example, if a student misses 7 x 0 and 3 x 0, it will teach the principle that multiplying any number by 0 equals 0. ... pitfalls, or "prizes" to capture while solving math problems. And if students take too long to respond ...
Beast Academy Review: Unconventional Math For Curious Kids
Hi Rachel, glad you enjoyed the review! I love Beast Academy, but I do agree that it is generally geared for pretty advanced math students. (Richard Rusczyk, the founder of Art of Problem Solving, spoke at the WTM conference this spring and said pretty explicitly that their audience is the top 5% or so of math students.
Precalculus Textbook
Precalculus is part of the acclaimed Art of Problem Solving curriculum designed to challenge high-performing middle and high school students.Precalculus covers trigonometry, complex numbers, vectors, and matrices. It includes nearly 1000 problems, ranging from routine exercises to extremely challenging problems drawn from major mathematics competitions such as the American Invitational ...
The art of problem solving 7th edition : Lehoczky, Sandor : Free
The art of problem solving 7th edition by Lehoczky, Sandor. Publication date 2006 Topics Problem solving, Mathematics -- Problems, exercises, etc Publisher Alpine, CA : AOPS Press Collection internetarchivebooks; inlibrary; printdisabled Contributor Internet Archive Language English
Beast Academy (math)
Art of Problem Solving, Inc. PO Box 2185; Alpine, CA 91903; [email protected]; ... About Cathy Duffy. About Cathy Duffy; Updates for 102 Top Picks; Ordering 102 Top Picks ; Get a FREE subscription to Cathy's E-Newsletter . All reviews and articles on this site belong to Grove Publishing, Inc. unless otherwise identified. No review or ...
The Art of Problem Solving : Accompanied by Ackoff's Fables
This new paper edition of The Art of Problem Solving is perhaps the best example of Ackoff in action. Step by step, this practical guide shows you how to develop an understanding of the art of creative thinking and the design of creative solutions. Using "Ackoff's Fables"—humorous yet eminently practical parables, based on real problems by ...
Critical Thinking & Logic curricula reviews for homeschooling
Indicates that the item was selected as one of Cathy's 103 Top Picks for Homeschool Curriculum. The Amazing Dr. Ransom's Bestiary of Adorable Fallacies: A Field Guide for Clear Thinkers. An Introduction to Logic and Philosophy. Analogies. The Art of Argument, The Argument Builder, and The Discovery of Deduction. The Basics of Critical Thinking.
Index to Art & Music curricula reviews for homeschooling
10 Ways to Add Art Into Your Homeschool. The McEvoy Atelier Drawing & Painting website has an excellent article and video that describe ten different ways for children to learn about the various facets of art. 25 Best Call and Response Songs for Kids Games, the Army, and More. Call-and-Response songs like "Miss Mary Mack" and "There's a Hole in ...

Homeschool High School Math

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The Art of Problem Solving, Vol. 1: The Basics Paperback – August 1, 2006

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Homeschool Math Curriculums

For a simple but thorough program – Kate Snow’s Math With Confidence

For struggling students – Math U See

For right brain learners- Right Start

For gifted/talented- Beast Academy

For hybrid online/hands on curriculum- Zearn

For independent learners- Teaching Textbooks

For older students with math gaps- Learn Math Fast

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Reflex (Math fact fluency online program)

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