# Mathematics

Students will work independently or in small groups for math each day and focus on one of the following courses: General Math, Pre-Algebra, Algebra 1/Intro to Counting and Probability, Intro to Number Theory/Algebra 2, or Intro to Geometry.

## +General Math (Full Year)

General Math focuses on three critical areas: (1) developing fluency with addition and subtraction of fractions, and developing understanding of the multiplication of fractions and of division of fractions in limited cases (unit fractions divided by whole numbers and whole numbers divided by unit fractions); (2) extending division to 2-digit divisors, integrating decimal fractions into the place value system and developing understanding of operations with decimals to hundredths, and developing fluency with whole number and decimal operations; and (3) developing understanding of volume.

## +Pre-Algebra (Full Year)

Part 1 includes a thorough exploration of the fundamentals of arithmetic, including fractions, exponents, and decimals. We introduce beginning topics in number theory and algebra, including common divisors and multiples, primes and prime factorizations, basic equations and inequalities, and ratios.

Part 2 includes percent, square roots, a thorough exploration of geometric tools and strategies, an introduction to topics in discrete mathematics and statistics, and a discussion of general problem-solving strategies.

## +Algebra 1 (0.5-1 Year)

Algebra 1 includes fundamental concepts of algebra, including exponents and radicals, linear equations and inequalities, ratio and proportion, systems of linear equations, factoring quadratics, complex numbers, completing the square, and the quadratic formula.

## +Intro to Counting and Probability (0.5 Year)

Introduction to Counting and Probability includes basic and intermediate counting concepts, including casework, multiplication, permutations, combinations, Pascal’s triangle, probability, combinatorial identities, and the Binomial Theorem.

## +Introduction to Number Theory (0.5 Year)

Introduction to Number Theory covers the fundamental principles of number theory, including primes and composites, divisors and multiples, divisibility, remainders, modular arithmetic, and number bases.

## +Algebra 2 (0.5-1 Year)

Algebra 2 covers quadratic equations, graphing, complex numbers, functions, sequences and series, and exponents and logarithms. Problem solving skills are emphasized throughout, and time is devoted to advanced topics like telescoping sums and piecewise functions.

## +Introduction to Geometry (1 Year)

Introduction to Geometry covers triangle similarity and congruence, complicated area problems, mastering the triangle, special quadrilaterals, polygons, the art of angle chasing, construction, power of a point, 3-dimensional geometry, transformations, analytic geometry, basic trigonometry, and geometric proofs.