Recommendations for Homeschooled Students

Very young children

Our Dr. Wright's Kitchen Table Math series is a step-by-step guide to how you can help your child develop good math skills and do well in school. It also includes activities and games so that you and your child can have fun while exploring these early stages of your child's mathematical journey.

Book 1 of Kitchen Table Math is for parents of children ages 2-8. Future books in the series will be for parents of older children, and will include workbooks.

Please note: Kitchen Table Math is not a textbook. It is a collection of activities and games for you and your child. It is not intended to replace a traditional math curriculum.

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Table of Contents Excerpt

Kitchen Table Math Book 1 by Chris Wright For parents of children ages 2-8. A step-by-step guide to how you can help your child develop good math skills and do well in school. It also includes activities and games so that you and your child can have fun while exploring these early stages of your child's mathematical journey. ISBN: 978-1-934124-03-1 282 pages. Paperback. 8 1/2 x 5 1/2 x 9/16 inches. Item(s) Price Quantity Kitchen Table Math Book 1 $21.95

Elementary-age children (not yet ready for algebra)

For students not yet ready for algebra, we recommend books from Math Olympiads in the Elementary and Middle Schools (MOEMS). These books are not meant to replace traditional math textbooks, but rather are intended to be an additional resource to help your child to learn beginning problem-solving and to think about mathematics creatively and more deeply than a routine curriculum.

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Creative Problem Solving in School Mathematics by Dr. George Lenchner A collection of lessons and challenging problems for beginning problem solvers in grades 4-8. Written by the creator of the popular Mathematics Olympiads in the Elementary and Middle Schools program. ISBN: 978-1-882144-10-5 284 pages. Paperback. 8 3/8 x 10 7/8 x 5/8 inches. Item(s) Price Quantity Creative Problem Solving in School Mathematics $35.99

Math Olympiad Contest Problems for Elementary and Middle Schools by Dr. George Lenchner A collection of sixteen years (400 problems!) of the Mathematics Olympiads in the Elementary and Middle Schools contests, with hints, complete solutions, and problem solving lessons. Ideal for beginners grades 4-8. ISBN: 978-0-9626662-1-6 280 pages. Paperback. 8 3/8 x 10 7/8 x 1/2 inches. This book is temporarily out of stock.

Ready for algebra

We recommend the Art of Problem Solving's Introduction to Algebra textbook. This is the first book in our Introduction Series, which forms a complete curriculum for students in middle and early high school.

Have your child take the book's pre-test to see if he or she is ready for this book. If your child cannot successfully complete the pre-test, then refer to our recommendations for students not yet ready for algebra.

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Table of Contents Excerpt Index

Introduction to Algebra by Richard Rusczyk A thorough introduction for students in grades 6-9 to algebra topics such as linear equations, ratios, quadratic equations, special factorizations, complex numbers, graphing linear and quadratic equations, linear and quadratic inequalities, functions, polynomials, exponents and logarithms, absolute value, sequences and series, and more! ISBN: 978-1-934124-01-7 Text: 656 pages. Solutions: 312 pages. Paperback. 10 7/8 x 8 3/8 x 1 3/16 inches. Item(s) Price Quantity Introduction to Algebra:Textbook & Solutions Manual $59.00

Some algebra experience

Students with some algebra background are ready for our discrete math textbooks: Introduction to Counting & Probability and/or Introduction to Number Theory. It is not necessarily to have mastered Introduction to Algebra in order to use either of these books. These two books can be read one after the other, in either order, or can be worked through simultaneously.

The discrete math topics covered in Introduction to Counting & Probability and Introduction to Number Theory are becoming increasingly important in a wide variety of scientific and technical careers, but unfortunately are still significantly underrepresented in most middle and high school math curricula. These topics are also highly represented in competitions such as MATHCOUNTS, the AMC contests, and ARML. In our experience, students who learn this material in middle or high school have a much easier time in later college-level coursework than students who see this material in college for the first time.

Students who have not completely mastered Algebra I may also want to work through the second half of Introduction to Algebra. Please refer to the book's post-test to see if your child has mastered the book's contents; if he or she can solve most or all of the problems on the post-test, then this book should not be necessary and would mainly serve as review.

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Table of Contents Excerpt Index	Introduction to Counting & Probability by David Patrick A thorough introduction for students in grades 7-10 to counting and probability topics such as permutations, combinations, Pascal's triangle, geometric probability, basic combinatorial identities, the Binomial Theorem, and more. ISBN: 978-1-934124-10-9 Text: 256 pages. Solutions: 120 pages. Paperback. 10 7/8 x 8 3/8 x 1/2 inches. Item(s) Price Quantity Introduction to Counting & Probability: Textbook & Solutions Manual $42.00
Table of Contents Excerpt Index	Introduction to Number Theory by Mathew Crawford A thorough introduction for students in grades 7-10 to topics in number theory such as primes & composites, multiples & divisors, prime factorization and its uses, simple Diophantine equations, base numbers, modular arithmetic, divisibility rules, linear congruences, how to develop number sense, and more. ISBN: 978-0-9773045-4-7 Text: 336 pages. Solutions: 144 pages. Paperback. 10 7/8 x 8 3/8 x 5/8 inches. Item(s) Price Quantity Introduction to Number Theory: Textbook & Solutions Manual $47.00
Table of Contents Excerpt Index	Introduction to Algebra by Richard Rusczyk A thorough introduction for students in grades 6-9 to algebra topics such as linear equations, ratios, quadratic equations, special factorizations, complex numbers, graphing linear and quadratic equations, linear and quadratic inequalities, functions, polynomials, exponents and logarithms, absolute value, sequences and series, and more! ISBN: 978-1-934124-01-7 Text: 656 pages. Solutions: 312 pages. Paperback. 10 7/8 x 8 3/8 x 1 3/16 inches. Item(s) Price Quantity Introduction to Algebra:Textbook & Solutions Manual $59.00

Completed Algebra I (or equivalent)

First, make sure that your child has indeed mastered the contents of our Introduction to Algebra by having him or her take the book's post-test. If he or she does not successfully complete significant portions of the post-test, then see our recommendations for students with some algebra.

Typically, students will study Geometry after completing Algebra I, using our Introduction to Geometry textbook. However, students with little or no experience in discrete math topics such as counting, probability, or number theory are strongly recommended to continue with our Introduction to Counting & Probability and/or Introduction to Number Theory books, either before proceeding to Geometry or simultaneously with the Geometry book.

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Table of Contents Excerpt Index	Introduction to Geometry New 2nd edition! by Richard Rusczyk A thorough introduction for students in grades 7-10 to geometry topics such as similar triangles, congruent triangles, quadrilaterals, polygons, circles, funky areas, power of a point, three-dimensional geometry, transformations, and more. ISBN: 978-1-934124-08-6 Text: 557 pages. Solutions: 226 pages. Paperback. 10 7/8 x 8 3/8 x 1 1/16 inches. Item(s) Price Quantity Introduction to Geometry: Textbook & Solutions Manual $57.00
Table of Contents Excerpt Index	Introduction to Counting & Probability by David Patrick A thorough introduction for students in grades 7-10 to counting and probability topics such as permutations, combinations, Pascal's triangle, geometric probability, basic combinatorial identities, the Binomial Theorem, and more. ISBN: 978-1-934124-10-9 Text: 256 pages. Solutions: 120 pages. Paperback. 10 7/8 x 8 3/8 x 1/2 inches. Item(s) Price Quantity Introduction to Counting & Probability: Textbook & Solutions Manual $42.00
Table of Contents Excerpt Index	Introduction to Number Theory by Mathew Crawford A thorough introduction for students in grades 7-10 to topics in number theory such as primes & composites, multiples & divisors, prime factorization and its uses, simple Diophantine equations, base numbers, modular arithmetic, divisibility rules, linear congruences, how to develop number sense, and more. ISBN: 978-0-9773045-4-7 Text: 336 pages. Solutions: 144 pages. Paperback. 10 7/8 x 8 3/8 x 5/8 inches. Item(s) Price Quantity Introduction to Number Theory: Textbook & Solutions Manual $47.00

Advanced students

We first recommend that the student master our Introduction Series. You can check your student's level of mastery of these books by having him or her take the books' post-tests:

If your student has mastered our Introduction Series, then he or she can continue with our Intermediate Series. The books in the Intermediate Series can be worked through in any order, although most students will prefer to begin with Intermediate Algebra (available in early 2008), as it is equivalent to a standard Algebra 2 course with a greater emphasis on problem solving.

Alternatively, advanced students may wish to learn more advanced problem-solving techniques by working through Volume 2 of our classic problem solving series.

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Table of Contents Excerpt Index	Intermediate Algebra NEW! by Richard Rusczyk and Mathew Crawford A comprehensive textbook covering Algebra 2 and topics in PreCalculus. This book is the follow-up to the acclaimed Introduction to Algebra textbook. In addition to offering standard Algebra 2 and PreCalculus curriculum, the text includes advanced topics such as those problem solving strategies required for success on the AMC and AIME competitions. ISBN: 978-1-934124-04-8 Text: 720 pages. Solutions: 336 pages. Paperback. 10 7/8 x 8 3/8 x 1 3/8 inches. Item(s) Price Quantity Intermediate Algebra: Textbook & Solutions Manual $64.00
Table of Contents Excerpt Index	Intermediate Counting & Probability by David Patrick 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. ISBN: 978-1-934124-06-2 Text: 400 pages. Solutions: 208 pages Paperback. 10 7/8 x 8 3/8 x 3/4 inches. Item(s) Price Quantity Intermediate Counting & Probability: Textbook & Solutions Manual $47.00
Table of Contents Excerpt Index	the Art of Problem Solving, Volume 2: and Beyond 7th Edition - New look! by Richard Rusczyk and Sandor Lehoczky A classic problem solving textbook for students in grades 9-12. Used by many successful AMC participants, USAMO qualifiers and Math Olympiad Program invitees. ISBN: 978-0-9773045-8-5 Text: 320 pages. Solutions: 184 pages. Paperback. 10 7/8 x 8 3/8 x 5/8 inches. Item(s) Price Quantity the Art of Problem Solving: Volumes 1 & 2, with Solutions $79.00 the Art of Problem Solving: Volumes 1 & 2 (Texts only) $62.00 the Art of Problem Solving, Volume 2: Text & Solutions $45.00