1. Module 4 Lesson 27 One­Step Equations―Multiplication and Division.notebook
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Monday Problem Set Lesson 27
Tuesday No homework
Wednesday Problem Set Lesson 28
Thursday Problem Set Lesson 29
Friday
Review Packet
Quiz Lessons 18­29 Tuesday

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Problem Set Lesson 26 Answers

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MODULE 4 Expressions and Equations
Topic G: Solving Equations
Lesson 27: One‐Step Equations―
Multiplication and Division
Student Outcomes
§ Students solve one‐step equations by relating an equation to a diagram.
§ Students check to determine if their solution makes the equation true.

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Classwork
Example 1
Solve 3z = 9 using tape diagrams and algebraically and then check your answer.
First draw two tape diagrams, one to represent each side of the equation.
If 9 had to be split into three groups, how big would each group be?
Demonstrate the value of z using tape diagrams.

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How can we demonstrate this algebraically?
How does this get us the value of z?
How can we check our answer?

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Example 2
Solve using tape diagrams and algebraically. Then, check your answer.
First, draw two tape diagrams, one to represent each side of the equation.
if the first tape diagram shows the size of y ÷4 , how can we draw a tape diagram to represent y?
Draw this tape diagram.

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What value does each y÷ 4 section represent? How do you know?
How can you use a tape diagram to show the value of y?

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How can we demonstrate this algebraically?
How does this help us find the value of y?
How can we check our answer?

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Exercises
1. Use tape diagrams to solve the following problem: 3m = 21

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3. Calculate the solution of the equation using the method of your choice: 4p = 36

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4. Examine the tape diagram below and write an equation it represents. Then, calculate the
solution to the equation using the method of your choice.

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5. Write a multiplication equation that has a solution of 12. Use tape diagrams to
prove that your equation has a solution of 12.
6. Write a division equation that has a solution of 12. Prove that your equation has
a solution of 12 using algebraic methods.

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Closing
Please take out your exit ticket for Lesson 27, close your
binder, and complete the exit ticket. This will be collected.
§ How is solving addition and subtraction equations similar and different to
solving multiplication and division equations?
§ What do you know about the pattern in the operations you used to solve the
equations today?
ú We used inverse operations to solve the equations today. Division was used
to solve multiplication equations, and multiplication was used to solve division
equations.

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