Instructional Time: 30 days

**Big Ideas**:

- Opposite Quantities Combine to Make Zero
- Using the Number Line to Model the Addition and subtraction of Integers
- The Distance Between Two Rational Numbers
- Understanding Addition and Subtraction of Integers and Other Rational Numbers
- Understanding Multiplication and Division of Integers
- Converting Rational Numbers to Decimals Using Long Division
- Applying the Properties of Operations to Multiply and Divide Rational Numbers
- Writing, Evaluating, and Finding Equivalent Expressions with Rational Numbers
- Solving Equations Using Algebra

**7.2.1: Introduction to Operations with Rational Numbers**

*Order of operations*- Ordering rational numbers
*Converting between decimals and fractions*

**7.2.2: Addition and Subtraction of Integers and Rational Numbers**

*How can we use the number line and counters to model addition and subtraction of integers and t**he distance between two rational numbers?**Understanding Addition and Subtraction of Integers and Other Rational Numbers*

**7.2.3: Multiplication and Division of Integers and Rational Numbers**

*Develop rules for and understanding multiplication and division signed integers**Understanding multiplication and division of rational numbers*

**7.2.4: Understanding and Working with Rational Numbers**

*Converting Between Fractions and Decimals Using Equivalent Fractions**Writing, Evaluating, and Finding Equivalent Expressions with Rational Numbers**Order of Operations**Solving equations containing rational numbers using algebra*