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 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