##### Unit 1 – Algebraic Expressions and Integers

- Place Value
- Variables and Expressions
- The Order of Operations
- Writing and Evaluating Expressions
- Integers and Absolute Value
- Adding Integers
- Subtracting Integers
- Problem Solving: Rounding and Estimating
- Inductive Reasoning
- Patterns
- Multiplying and Dividing Integers
- The Coordinate Plane

##### Unit 2 – Solving One-Step Equations and Inequalities

- Properties of Numbers
- Simplifying Variable Expressions
- Variables and Equations
- Solving Equations by Adding or Subtracting
- Solving Equations by Multiplying or Dividing
- Guess, Check, and Revise
- Inequalities and Their Graphs
- Solving One-Step Inequalities by Adding or Subtracting
- Solving One-Step Inequalities by Multiplying or Dividing

##### Unit 3 – Decimals and Equations

- Rounding and Estimating
- Estimating Decimal Products and Quotients
- Mean, Median, and Mode
- Using Formulas
- Solving Equations by Adding or Subtracting Decimals
- Solving Equations by Multiplying or Dividing Decimals
- Using the Metric System

##### Unit 4 – Factors, Fractions, And Exponents

- Divisibility and Factors
- Exponents
- Prime Factorization and Greatest Common Factor
- Simplifying Fractions
- Rational Numbers
- Irrational Numbers
- Exponents and Multiplication
- Exponents and Division
- Scientific Notation
- Square and Cube Roots

##### Unit 5 – Operations with Fractions

- Comparing and Ordering Rational Numbers
- Fractions and Decimals
- Adding and Subtracting Fractions
- Multiplying and Dividing Fractions
- Using Customary Units of Measurements
- Solving Equations by Adding or Subtracting Fractions
- Solving Equations by Multiplying Fractions
- Powers of Products and Quotients

##### Unit 6 – Ratios, Proportions, and Percentages

- Ratios and Unit Rates
- Proportions
- Similar Figures and Scale Drawings
- Probability
- Fractions, Decimals, and Percentages
- Proportions and Percentages
- Percentages and Equations
- Percent of Change
- Markup and Discount
- Tables

##### Unit 7 – Solving Equations and Inequalities

- Solving Two-Step Equations
- Solving Multi-Step Equations
- Multi-Step Equations with Fractions and Decimals
- Write an Equation
- Solving Equations with Variables on Both Sides
- Solving Two-Step Inequalities
- Transforming Formulas
- Simple and Compound Interest

##### Unit 8 – Linear Functions and Graphing

- Relations and Functions
- Equations with Two Variables
- Slope and y-intercept
- Writing Rules for Linear Functions
- Scatter Plots
- Graphing Linear Inequalities

##### Unit 9 – Spatial Thinking

- Introduction to Geometry: Points, Lines, and Planes
- Angle Relationships and Parallel Lines
- Classifying Polygon
- Draw a Diagram
- Congruence
- Circles
- Constructions
- Translations
- Symmetry and Rotations
- Rotations

##### Unit 10 – Area and Volume

- Area of Parallelograms
- Area of Triangles and Trapezoids
- Area of Circles
- Space Figures
- Surface Area of Prisms and Cylinders
- Surface Area of Pyramids, Cones, and Spheres
- Volumes of Prisms and Cylinders
- Volume of Pyramids, Cones, and Spheres

##### Unit 11 – Formulas

- Square Roots and Irrational Numbers
- The Pythagorean Theorem
- Distance and Midpoint Formulas
- Write a Proportion

##### Unit 12 – Data Analysis and Probability

- Frequency Tables, Line Plots, and Histograms
- Box-and-Whisker Plots
- Stem and Leaf Plots
- Counting Outcomes and Theoretical Probability
- Independent and Dependent Events
- Permutations and Combinations
- Experimental Probability
- Random Samples and Surveys