Unit 7, Lesson 19
Solving Problems with Rational Numbers
Accelerated 6
Preparation
Lesson Narrative
In this lesson, students put together what they have learned about rational number arithmetic and the interpretation of negative quantities, such as negative time or negative rates of change. They solve problems with rational numbers in the context of scoring margins between sports teams and negative charges on an electricity bill or account. Students may use strategies such as filling in tables and making numerical calculations to solve the problems as they reason quantitatively and abstractly about the meaning of negative quantities in the situations (MP2).
It is not necessary that students write and solve algebraic equations in this lesson, as they will move toward this strategy in later lessons. Instead, students may notice patterns in the operations and quantities they use when solving the problems.
- Apply operations with rational numbers to solve problems involving repeated gains or losses, and present (orally, in writing, and using other representations) the solution method.
Let’s use all four operations with signed numbers to solve problems.
Required Preparation
None