Sometimes it’s easier to see how a single subject will progress through out your student’s homeschooling career if it’s all on one page. Each sequence page contains all the threads of a single subject K-12.

Also noted are books and other media that might deepen or expand the experience. You don’t need to use them at all and you definitely don’t need to use them all. They are good for reinforcing concepts, introducing new things, and just bring a little more joy to a subject. Expansion books are placed loosely by grade. We tried to limit ourselves to a handful, just so you don’t get bogged down trying to decide. Please feel free to use them whenever they would be most helpful to your particular student.

If you are looking for a different core math sequence, check our Math Options page (coming soon).

Year 1

- Dr. Wright’s Kitchen Table Math: Book 1
- Expansion
- Challenging Word Problems for Primary Mathematics CC Ed 1
- Moebius Noodles: Adventurous Math for the Playground Crowd by Yelena McManaman and Maria Droujkova
- The Adventures of Penrose the Mathematical Cat by Theoni Pappas
- More Math Adventures with Penrose the Mathematical Cat by Theoni Pappas
- Mighty Maddie (MathStart 1) by Stuart J. Murphy or any of the Level 1 or 2 MathStart books

- Expansion

Year 2

- Dr. Wright’s Kitchen Table Math: Book 1
- Beast Academy 2A-D (Once Published)
- Expansion
- Challenging Word Problems for Primary Mathematics CC Ed 2
- Treasure Map (MathStart 3) by Stuart J. Murphy or any of the Leve 2 or 3 MathStart books
- Anno’s Counting Book by Mitsumasa Anno or any other Anno book
- The Librarian Who Measured the Earth by Kathryn Lasky
- One Grain Of Rice: A Mathematical Folktale by Demi

- Expansion

Year 3

- Beast Academy 3A-D
- Expansion
- Challenging Word Problems for Primary Mathematics CC Ed 3
- Murderous Maths: The Brain-Bending Basics by Kjartan Poskitt or any of the Murderous Math books
- Sir Cumference and the First Round Table by Cindy Neuschwander and Wayne Geehan
- Sir Cumference and the Dragon of Pi by Cindy Neuschwander and Wayne Geehan or any of the Sir Cumference books
- Of Numbers and Stars: The Story of Hypatia by Anne Love

- Expansion

Year 4

- Beast Academy 4A-D
- Expansion
- Challenging Word Problems for Primary Mathematics CC Ed 4
- Mathematicians Are People, Too: Stories from the Lives of Great Mathematicians by Luetta and Wilbert Reimer
- Murderous Maths: The Brain-Bending Basics by Kjartan Poskitt or any of the Murderous Math books
- Grandfather Tang’s Story by Anne tompert

- Expansion

Year 5

Year 6

Year 7

- AOPS Introduction to Algebra
- Expansion

Year 8

Year 9

- AOPS Intermediate Algebra (Algebra II)
- Expansion
- AOPS Intermediate Counting & Probability
- The Book of Numbers by John Conway and Richard Guy
- Winning Ways for Your Mathematical Plays, Volume 3 by John Conway and Richard Guy
- The Man Who Knew Infinity: A Life of the Genius Ramanujan by Robert Kanigal
- The Colossal Book of Mathematics: Classic Puzzles, Paradoxes, and Problems

- Expansion

Year 10

- AOPS Precalculus
- Expansion
- The Symmetries of Things by John Conway, Heidi Burgiel, and Chaim Goodman-Strauss
- Winning Ways for Your Mathematical Plays, Volume 4 by John Conway and Richard Guy
- Fermat’s Enigma: The Epic Quest to Solve the World’s Greatest Mathematical Problem by Simon Singh
- The Calculus Gallery: Masterpieces from Newton to Lebesgue by William Dunham
- Four Colors Suffice: How the Map Problem Was Solved by Robin Wilson

- Expansion

Year 11

- AOPS Calculus
- Expansion
- Problem Solving Through Recreational Mathematics Bonnie Averbach and Orin Chein
- Mathematics: The Science of Patterns: The Search for Order in Life, Mind and the Universe by Keith Devlin
- Alan Turing: The Enigma by Andrew Hodges
- The Annotated Turing: A Guided Tour Through Alan Turing’s Historic Paper on Computability and the Turing Machine by Charles Petzold
- Secrets and Lies: Digital Security in a Networked World by Bruce Schneier

- Expansion

Year 12

- DE Calculus 2 & 3 -OR- Statistics
- Expansion
- Things to Make and Do in the Fourth Dimension by Matt Parker
- Theory of Games and Economic Behavior by John Von Neumann
- How to Solve It: A New Aspect of Mathematical Method by G. Polya
- In Pursuit of the Unknown: 17 Equations That Changed the World by Ian Stewart
- Gödel, Escher, Bach: An Eternal Golden Braid by Douglas R. Hofstadter
- Emmy Noether 1882-1935 by Auguste Dick

- Expansion

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