Unit 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

Unit 2: Solving Equations

• Properties and Operations
• The Distributive Property
• Simplifying Variable Expressions
• Variables and Equations
• Solving Equations Using Addition or Subtraction
• Solving Equations Using Multiplication or Division
• Solving Two-Step Equations
• Solving Multi-Step Equations

Unit 3: Solving Inequalities

• Inequalities
• Solving Inequalities Using Addition or Subtraction
• Solving Inequalities Using Multiplication or Division
• Solving Multi-Step Inequalities

Unit 4: Factors, Fractions, and Exponents

• Factors and Prime Factorization
• Greatest Common Factor
• Equivalent Fractions
• Least Common Multiple
• Rules of Exponents
• Negative and Zero Exponents
• Scientific Notation

Unit 5: Rational Numbers

• Rational Numbers
• Adding and Subtracting Fractions with a Common Denominator
• Adding and Subtracting Fractions with Different Denominators
• Multiplying Fractions
• Dividing Fractions

Unit 6: Linear Equations and Functions

• Relations and Functions
• Linear Equations in Two Variables
• Using Intercepts
• The Slope of a Line
• Writing Linear Equations
• Function Notation

Unit 7: Ratios and Proportions

• Ratios and Rates
• Writing and Solving Proportions
• Solving Proportions Using Cross Products
• Similar and Congruent Figures
• Similarity and Measurement
• Scale Drawings

Unit 8: Percents

• Percents and Fractions
• Percents and Proportions
• Percents and Decimals
• The Percent Equation
• Percent of Change
• Percent Applications

Unit 9: Real Numbers and Right Triangles

• Square Roots
• Simplifying Square Roots
• The Pythagorean Theorem
• Real Numbers
• The Distance and Midpoint Formulas

Unit 10: Measurement, Area, and Volume

• Triangles
• Polygons and Quadrilaterals
• Areas of Parallelograms and Trapezoids
• Circumference and Area of a Circle
• Surface Area
• Volume

Unit 11: Angle Relationships and Transformations

• Angle Relationships
• Angles and Parallel Lines
• Angles and Polygons
• Translations
• Reflections
• Rotations
• Dilations

Unit 12: Data Analysis

• Stem-and-Leaf Plots and Histograms
• Box-and-Whisker Plots
• Collecting Data
• Interpreting Data