### Unit Overview

This unit develops an understanding of rational numbers. Focus is also on mastery of operations with negative numbers. The following structure is outlined by EngageNY.

** Topic A: Addition and Subtraction of Integers and Rational Numbers**

- Lesson 1: Opposite Quantities Combine to Make Zero
- Lesson 2: Using the Number Line to Model the Addition of Integers
- Lesson 3: Understanding Addition of Integers
- Lesson 4: Efficiently Adding Integers and Other Rational Numbers
~~Lesson 5: Understanding Subtraction of Integers and Other Rational Numbers~~- Lesson 6: The Distance Between Two Rational Numbers
- Lesson 7: Addition and Subtraction of Rational Numbers
- Lessons 8–9: Applying the Properties of Operations to Add and Subtract Rational Numbers

**Topic B: Multiplication and Division of Integers and Rational Numbers**

- Lesson 10: Understanding Multiplication of Integers
- Lesson 11: Develop Rules for Multiplying Signed Numbers
- Lesson 12: Division of Integers
- Lesson 13: Converting Between Fractions and Decimals Using Equivalent Fractions
- Lesson 14: Converting Rational Numbers to Decimals Using Long Division
- Lesson 15: Multiplication and Division of Rational Numbers
- Lesson 16: Applying the Properties of Operations to Multiply and Divide Rational Numbers

**Mid-Module Assessment and Rubric**

- Topics A through B

**Topic C: Applying Operations with Rational Numbers to Expressions and Equations**

- Lesson 17: Comparing Tape Diagram Solutions to Algebraic Solutions
- Lessons 18–19: Writing, Evaluating, and Finding Equivalent Expressions with Rational Numbers
- Lesson 20: Investments—Performing Operations with Rational Numbers
- Lesson 21: If-Then Moves with Integer Number Cards
- Lesson 22-23: Solving Equations Using Algebra

**End of Module Assessment**

- Topics A through C