 COURSES 
 GRADE 



 TEXTBOOKS, SUBJECTS, and GOALS 
 Fun Math

 



 Beast Academy Guides / Art of Problem Solving (AoPS)


Part 3A/3B/3C/3D 
 2  3 



 3A: shape classification, skipcounting,
perimeter, area; 3B: multiplication, perfect squares, the distributive property; 3C/3D: variables, division, and units and measure / fractions, estimation, & area. 

Part 4A/4B/4C/4D 
 34 



 4A: shapes, multiplication, and exponents; 4B: counting, division, and logic; 4C: factors, fractions, and integers; 4D: fractions, decimals, and probability. 
 Part 5A/5B   45      5A: 3D Solids, Integers (Multiplication, long products, division, exponents, and opposites (negation)), and Expressions & Equations. 5B: Statistics : Median, average (mean), weighted averages, range, and mode. Factors & Multiples : Factors, greatest common factor (gcf), least common multiple (lcm), factorials. Fractions : Addition and subtraction (with unlike denominators), multiplication, cancelling, division.

 
 



 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. 
 PreAlgebra 
 46 



 PreAlgebra / AoPS

 Part I Beginner
Part II Advanced

 



 Arithmetic, exponents, primes and
divisors, fractions, equations and inequalities, decimals, ratios and
proportions, unit conversions and rates, percents, square roots, basic
geometry (angles, perimeter, area, triangles, and quadrilaterals), statistics,
counting and probability, etc. 
 Number Theory   57      Introduction to Number Theory / AoPS

 
 



 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. 
 Algebra   68      Introduction to Algebra / AoPS 
 Part I Beginner
Part II Advanced        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! 
 Geometry   68      Introduction to Geometry / AoPS 
 Part I Beginner
Part II Advanced        Similar triangles, congruent triangles, quadrilaterals, polygons, circles, funky areas, power of a point, threedimensional geometry, transformations, introductory trigonometry, and more. 
 Counting & Probability   69
     Introduction to Counting & Probability / AoPS 
        Permutations, combinations, Pascal's triangle, geometric probability , basic combinatorial identities, the Binomial Theorem, and
more. 
 Grade 810 Math Review
  810
     Art of Problem Solving, Volume 1: the Basics 
        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

 Intermediate Algebra   810
     Intermediate Algebra / AoPS

        Topics covered in this book include complex numbers, quadratics and conic sections, polynomials,
multivariable expressions, sequences and series, identities,
inequalities, exponents and logarithms, piecewisedefined 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. 
 Computational Math   810      The main goal of this course is to introduce students to the exquisite interplay between 'traditional' mathematical disciplines and theoretical computer science. It embeds the students in a new way of thinking and manipulating mathematical objects from a computational viewpoint, thereby introducing the notions of data structures and algorithms. The course covers the fundamental tools and language for designing and analyzing algorithms. It is heavily motivated by various practical examples emanating from different disciplines (engineering, physics, biology, social science, ... etc.). This course should help bridge a gap between the traditional teachings of computer science and mathematics that is often not addressed by middle/high school curriculum. It provides a great opportunity to tackle real world problems of computational nature which are ubiquitous nowadays. The topics are motivated by computational problems from statistics, number theory, algebra, graph theory, probability theory, game theory, and geometry. Students should have fun discovering new computational concepts and ideas without lacking any mathematical rigor. This is not a programming course, but the students who know how to program will be assisted at implementing some of the algorithms and solving some of the problems. 
 Math Olympiads 
 



 CREATIVE PROBLEM SOLVING in School Mathematics, by Dr. George Lenchner, founder of MOEMS 

       To prepare for Mathematical Olympiads
for Elementary and Middle Schools (MOEMS) contests 

Part I

 35 



 Problem solving strategies
and methods 

Part II

 46 



 Extend elementary and middle school
mathematics into such topics as sequences, series, principles of
divisibility, geometric configurations, and logic 
 AMC, IMLEM, & MathCounts   58      To prepare students for middle school math contests, such as IMLEM, AMC, and MathCounts. 
 Math teams 
 






Division E 
 36 



 To do drills and to participate Math
Olympiad (MOEMS) contests in Division E (46th grade) 

Division M 
 48 



 To do drills and to participate Math
Olympiad (MOEMS) contests in Division M (68th grade) 