*See textbook links below
|COURSE||GRADE||SUBJECTS and GOALS||TEXTBOOK|
|Fun Math||Level 2||2||2A: place value, comparing numbers, and addition;
2B: subtraction, expressions, and problem solving;
2C: measurement, strategies, and odds & evens;
2D: big numbers, algorithms, and problem solving.
|Beast Academy Guides / Art of Problem Solving (AoPS)
Guides provide instruction in a comic book style that encourages reasoning and problem solving. Practice books provide hundreds of problems, puzzles, and games to reinforce the lessons.
|Level 3||2-3||3A: shape classification, skip-counting, perimeter, area;
3B: multiplication, perfect squares, the distributive property;
3C/3D: variables, division, and units and measure / fractions, estimation, & area.
|Level 4||3-4||4A: shapes, multiplication, and exponents;
4B: counting, division, and logic;
4C: factors, fractions, and integers;
4D: fractions, decimals, and probability.
|Level 5||3-4||5A: 3D solids, integers, and expressions & equations;
5B: Statistics, Factors & Multiples, and Fractions;
5C: Sequences, Ratios & Rates, and Decimals;
5D: percents, square roots, and exponents.
|PreAlgebra||4-5||Arithmetic, exponents, primes and divisors, fractions, equations and inequalities, decimals, ratios and proportions, unit conversions and rates, percents, square roots, etc.||PreAlgebra / AoPS|
|Basic Math||4-5||Basic geometry (angles, perimeter, area, triangles, and quadrilaterals), number theory, statistics, counting and probability, etc.||PreAlgebra / AoPS|
|Number Theory||5-7||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, etc.||Introduction to Number Theory / AoPS|
|Algebra||Part I Beginner||5-8||A thorough introduction 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!||Introduction to Algebra / AoPS|
|Part II Advanced|
|Geometry||Part I Beginner||5-8||Similar triangles, congruent triangles, quadrilaterals, polygons, circles, funky areas, power of a point, three-dimensional geometry, transformations, introductory trigonometry, and more.||Introduction to Geometry / AoPS|
|Part II Advanced|
|Counting & Probability||6-9||Permutations, combinations, Pascal's triangle, geometric probability , basic combinatorial identities, the Binomial Theorem, and more.||Introduction to Counting & Probability / AoPS|
|Advanced Math||7-10||A classic problem solving textbook covering advanced topics on Geometry, Algebra, Number Theory, and Counting/Probability. Also for prestigious contests like MATHCOUNTS, AMC 10, and AIME||Art of Problem Solving, Volume 1: the Basics|
|Intermediate Algebra||8-10||Topics covered in this book include complex numbers, quadratics and conic sections, polynomials, multivariable expressions, sequences and series, identities, inequalities, exponents and logarithms, piecewise-defined functions, functional equations, and much more.
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.
|Intermediate Algebra / AoPS|
|3-5||Problem solving strategies and methods. Extend elementary and middle school mathematics into such topics as sequences, series, principles of divisibility, geometric configurations, and logic||CREATIVE PROBLEM SOLVING in School Mathematics, by Dr. George Lenchner, founder of MOEMS|
|AMC, IMLEM, & MathCounts||5-8||To prepare students for middle school math contests, such as IMLEM, AMC, and MathCounts.|
|Math Teams||Division M||4-8||To do drills and to participate Math Olympiad (MOEMS) contests in Division M (4-8th grade)|