Unit 1: Integers
Integers and absolute value
Compare and order integers
Add, subtract, multiply, divide integers
Properties
Powers and Laws of Exponents
Coordinate plane
Unit 2: Expressions and Equations
Simplify and evaluate algebraic expressions
Solve addition, subtraction, multiplication, division equations
Solve two step equations
Formulas
Unit 3: Inequalities
Graph inequalities on a number line
Solve addition, subtraction, multiplication, division inequalities
Unit 4: Rational Numbers: Decimals
Equivalent rational numbers
Compare and order decimals
Add, subtract, multiply, divide decimals
Negative exponents
Scientific Notation
Solve two step equations
Unit 5: Rational Numbers: Fractions
Prime factorization
Greatest common factor
Least common multiple
Add, subtract, multiply, divide fractions and mixed numbers
Order of operations
Two step equations
Unit 6: Ratio and Proportion
Ratio
Unit rates and unit costs
Write and solve proportions
Direct proportion
Proportions by parts
Scale drawings
Similarity
Unit 7: Percent and Consumer Applications
Percents
Fractions, decimals, percents
Percents greater than 100 and less than 1
Find percent of a number
Percent increase/decrease
Discount and markup
Commission
Simple interest
Unit 8: Data Analysis and Statistics
Samples and surveys
Measures of central tendency and range
Interpret data
Bar graphs, histograms, stem and leaf plots
Box and whisker plots
Scatter plots
Unit 9: Two Dimensional Geometry
Points, lines, planes
Classify and measure angles
Angle pairs
Parallel lines and transversals
Congruent angles and line segments
Polygons, triangles, quadrilaterals, circles
Unit 10: Two dimensional Geometry and Measurement Applications
Perimeter
Squares and square roots
Irrational numbers
Pythagorean Theorem
Area
Circumference
Unit 11: Three Dimensional Geometry
Draw three dimensional figures
Surface area
Volume
Unit 12: Probability
Theoretical probability
experimental probability
odds and fairness
Unit 13: Patterns, Relations, and Functions
Relations and functions
Graph linear functions
Slope
Nonlinear functions
Graph translations, reflections, rotations, dilations
Unit 14: Polynomials, Equations, and Inequalities
Polynomials
Add, subtract, multiply, divide polynomials
Multiply polynomials by monomials