Unit 3, Lesson 7
Reasoning about Solving Equations (Part 2)
Accelerated 7
Preparation
Lesson Narrative
This lesson continues the work of developing efficient equation solving strategies, justified by working with hanger diagrams. The goal of this lesson is for students to understand two different ways to solve an equation of the form efficiently. After a warm-up to revisit the distributive property, the first activity asks students to explain why either of two equations could represent a diagram and reason about a solution. The next activity asks students to match equations to diagrams and then solve the equations. The goal is for students to see and understand two approaches to solving this type of equation.
- Compare and contrast (orally) different strategies for solving an equation of the form $p(x+q)=r$.
- Explain (orally and in writing) how to use a balanced hanger diagram to solve an equation of the form $p(x+q)=r$.
- Interpret a balanced hanger diagram with multiple groups, and justify (in writing) that there is more than one way to write an equation that represents the relationship shown.
Let’s use hangers to understand two different ways of solving equations with parentheses.
Required Preparation
None