# Mathematics – Course 2 – Grade 7

Chapter 1 Algebraic Reasoning

Chapter 2 Integers and Rational Numbers

Chapter 3 Applying Rational Numbers

Chapter 4 Proportional Relationships

Chapter 5 Graphs

Chapter 6 Percents

Chapter 7 Collecting, Displaying, and Analyzing Data

Chapter 8 Geometric Figures

Chapter 9 Measurement and Geometry

Chapter 10 Probability

Chapter 11 Multi-Step Equations and Inequalities

**Chapter 1 Algebraic Reasoning**

1-1 Order of Operations

1-2 Properties of Numbers

1-3 Variables and Algebraic Expressions

1-4 Translating Words into Math

1-5 Simplifying Algebraic Expressions

**Chapter 2 Integers and Rational Numbers**

2-1 Integers

2-2 Adding Integers

2-3 Subtracting Integers

2-4 Multiplying and Dividing Integers

2-5 Solving Equations Containing Integers

2-6 Equivalent Fractions and Decimals

2-7 Comparing and Ordering Rational Numbers

**Chapter 3 Applying Rational Numbers**

3-1 Adding and Subtracting Decimals

3-2 Multiplying Decimals

3-3 Dividing Decimals

3-4 Solving Equations Containing Decimals

3-5 Adding and Subtracting Fractions

3-6 Multiplying Fractions and Mixed Numbers

3-7 Dividing Fractions and Mixed Numbers

3-8 Solving Equations Containing Fractions

**Chapter 4 Proportional Relationships**

4-1 Rates

4-2 Identifying and Writing Proportions

4-3 Solving Proportions

4-4 Similar Figures and Proportions

4-5 Using Similar Figures

4-6 Scale Drawings and Scale Models

**Chapter 5 Graphs**

5-1 The Coordinate Plane

5-2 Interpreting Graphs

5-3 Slopes and Rates of Change

5-4 Direct Variation

**Chapter 6 Percents**

6-1 Fractions, Decimals, and Percents

6-2 Estimating with Percents

6-3 Using Properties with Rational Numbers

6-4 Percent of Change

6-5 Applications of Percents

6-6 Simple Interest

**Chapter 7 Collecting, Displaying, and Analyzing Data**

7-1 Mean, Median, Mode, and Range

7-2 Box-and-Whisker Plots

7-3 Populations and Samples

**Chapter 8 Geometric Figures**

8-1 Building Blocks of Geometry

8-2 Classifying Angles

8-3 Line and Angle Relationships

8-4 Angles in Polygons

8-5 Congruent Figures

**Chapter 9 Measurement and Geometry**

9-1 Perimeter and Circumference

9-2 Area of Circles

9-3 Area of Irregular Figures

9-4 Introduction to Three-Dimensional Figures

9-5 Volume of Prisms and Cylinders

9-6 Surface Area of Prisms and Cylinders

**Chapter 10 Probability**

10-1 Probability

10-2 Sample Spaces

10-3 Theoretical Probability

10-4 Making Predictions

10-5 Probability of Independent and Dependent Events

10-6 Combinations

10-8 Permutations

10-9 Probability of Compound Events

**Chapter 11 Multi-Step Equations and Inequalities**

11-1 Solving Two-Step Equations

11-2 Solving Multi-Step Equations

11-3 Solving Equations with Variables on Both Sides

11-4 Inequalities

11-5 Solving Inequalities by Adding or Subtracting

11-6 Solving Inequalities by Multiplying or Dividing

11-7 Solving Multi-Step Inequalities