Semester I
Chapter 1: Variables, Expressions, and Integers
- expressions and variables
- powers and exponents
- order of operations
- comparing and ordering integers
- adding and subtracting integers
- multiplying and dividing integers
- the coordinate plane
Chapter 2: Solving Equations
- properties and operations
- the distributive property
- simplifying expressions
- variables and equations
- solving equations
- decimal operations
Chapter 3: Multi-Step Equations and Inequalities
- solving two-step equations
- solving with like terms
- solving inequalities
Chapter 4: Factors, Fractions, and Exponents
- factors and prime factorization
- greatest common factors and least common multiples
- equivalent fractions
- rules of exponents
- negative and zero exponents
- scientific notation
Chapter 5: Rational Numbers and Equations
- rational numbers
- adding and subtracting fractions
- multiplying and dividing fractions
- multiplicative inverses
- equations with inequalities and rational numbers
Semester II
Chapter 6: Ratio, Proportion, and Probability
- ratios and rates
- solving proportions
- similar and congruent figures
- scale drawings
- probability and odds
- the counting principle
Chapter 7: Percent
- percents, fractions, and proportions
- decimals
- percent change
- percent applications
- simple and compound interest
Chapter 8: Linear Functions
- relations and functions
- linear equations
- intercepts and slopes
- writing linear equations
- systems of linear equations and graphs
- function notation
Chapter 9: Geometric Figures
- square roots
- the Pythagorean theorem
- real numbers
- special right triangles
- tangents, sines, and cosines
Chapter 10: Measurement, Area, and Volume
- triangles, polygons, and quadrilaterals
- parallelograms and trapezoids
- circumference and area of circles
- surface area and volumes of prisms and cylinders
- surface area and volumes of pyramids and cones
Chapter 12: Polynomials and Nonlinear Functions
- working with polynomials
- multiplying binomials
- quadratic functions
- exponential growth and decay
- sequences
Chapter 11: Data Analysis and Probability (as time allows)
- stem-and-leaf plots and histograms
- box-and-whisker plots
- analyzing data
- permutations and combinations
- probabilities
- independent and dependent events
To go back to the Junior High Math overview, click here.