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# Solving Equations- Distributive Property

Lesson 2 of 16

## Objective: SWBAT solve equations that require using the distributive property.

## Big Idea: Give a little love! Get kids to distribute to every term within the parentheses while solving equations.

*75 minutes*

#### Warm-up

*10 min*

Each day, students complete a warm-up that usually consists of spiraling the previous day's material, in addition to older material. Warm-up problems also sometimes extend lessons that students have encountered before to more unfamiliar contexts.

In this lesson, #3 provided a particularly rich learning activity.

A rectangle has a height that is five less than triple the base, ** b**. Which of the following shows the perimeter of this rectangle?

Most students who chose the wrong answer chose "3b - 5." This provided a chance to talk about:

- close reading of the problem

- using a diagram to model a situation

- collecting like terms, including with negative numbers.

A task that has a bit of a "gotcha" element tends to stay in kids' minds longer, as long as there is a memorable and understood "aha" moment, which this task has. I love using this as a warm-up problem, particularly as the last problem.

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#### Homework

*15 min*

The homework includes questions related to this lesson, as well as spiraled review. I also provide answers to the problems on page 2.

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- UNIT 1: FLUENCIES AND THE LANGUAGE OF ALGEBRA
- UNIT 2: SOLVING LINEAR EQUATIONS
- UNIT 3: INTRODUCTION TO FUNCTIONS
- UNIT 4: INTERPRETING AND COMPARING LINEAR FUNCTIONS
- UNIT 5: SYSTEMS OF LINEAR EQUATIONS
- UNIT 6: EXPONENTS AND SCIENTIFIC NOTATION
- UNIT 7: PARALLEL LINES, TRANSVERSALS, AND TRIANGLES
- UNIT 8: CONGRUENCE AND SIMILARITY THROUGH TRANSFORMATIONS
- UNIT 9: PATTERNS OF ASSOCIATION IN BIVARIATE DATA
- UNIT 10: SLOPE REVISITED
- UNIT 11: VOLUME OF CYLINDERS, CONES, AND SPHERES
- UNIT 12: POLYNOMIALS AND FACTORING
- UNIT 13: QUADRATIC FUNCTIONS

- LESSON 1: Introduction to solving equations
- LESSON 2: Solving Equations- Distributive Property
- LESSON 3: Collect like terms first
- LESSON 4: Fractional coefficients
- LESSON 5: Variables on both sides (Day 1 of 2)
- LESSON 6: Variables on both sides (Day 2 of 2)
- LESSON 7: Assessment #2
- LESSON 8: Understand one, infinite, or no solutions (Part 1 of 2)
- LESSON 9: Understand one, infinite, or no solutions (Part 2 of 2)
- LESSON 10: Apply algebra to solve problems (Part 1 of 2)
- LESSON 11: Apply algebra to solve problems (Part 2 of 2)
- LESSON 12: Assessment #3
- LESSON 13: Equations with mixed numbers and fractions
- LESSON 14: Solve for a given variable (Part 1 of 2)
- LESSON 15: Solve for a given variable (Part 2 of 2)
- LESSON 16: Assessment #4