# Rational Numbers

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

The New Twenty

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 the 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