Lesson 13

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more balanced Moves

Warm Up

Lesson

Summary

Cool

Down

Reflections

Student

Task

Learning

Targets

Practice Problems

Lesson Video

Unit 4

inequalities, Expressions, and Equations

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13.1 Warm Up - Different equations

Equation 1

x - 3 = 2 - 4x

Which of these have the same solution as Equation 1? Be prepared to explain your reasoning.

Equation A Equation B Equation C Equation D

2x - 6 = 4 - 8x x - 5 = -4x 2(1 - 2x) = x - 3 -3 = 2 - 5x

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Learning Targets

• I can make sense of multiple ways to solve an equation.

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The purpose of this lesson is to increase fluency in solving equations and recognizing multiple ways to complete the steps.

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13.2 Step by step by step by step

1. Are both of their solutions correct? Explain your reasoning.
2. Describe some ways the steps they took are alike and different.

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13.3 Make your own steps

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Lesson Summary

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Lesson Summary, Cont.

Substituting 3 in place of x into the original equation,

We get a statement that isn’t true! This tells us we must have made a mistake somewhere. Checking our original steps carefully, we made a mistake when distributing -3. Fixing it, we now have:

Substituting -3 in place of x into the original equation to make sure we didn’t make another mistake

This equation is true so x = -3 is the solution.

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13.5 Cool Down: Mis-steps

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Reflections

• Can you make sense of multiple ways to solve an equation?

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Practice Problems

Must do: All problems

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ALL PERIODS click here to submit homework.

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Lesson Video

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