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Module 4 Lesson 27 OneStep Equations―Multiplication and Division.notebook
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April 20, 2015
Monday Problem Set Lesson 27Tuesday No homeworkWednesday Problem Set Lesson 28Thursday Problem Set Lesson 29
Friday Review PacketQuiz Lessons 1829 Tuesday
Module 4 Lesson 27 OneStep Equations―Multiplication and Division.notebook
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Problem Set Lesson 26 Answers
Module 4 Lesson 27 OneStep Equations―Multiplication and Division.notebook
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Module 4 Lesson 27 OneStep Equations―Multiplication and Division.notebook
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Module 4 Lesson 27 OneStep Equations―Multiplication and Division.notebook
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Module 4 Lesson 27 OneStep Equations―Multiplication and Division.notebook
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MODULE 4 Expressions and EquationsTopic 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.
Module 4 Lesson 27 OneStep Equations―Multiplication and Division.notebook
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Classwork Example 1Solve 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.
Module 4 Lesson 27 OneStep Equations―Multiplication and Division.notebook
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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?
Module 4 Lesson 27 OneStep Equations―Multiplication and Division.notebook
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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.
Module 4 Lesson 27 OneStep Equations―Multiplication and Division.notebook
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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?
Module 4 Lesson 27 OneStep Equations―Multiplication and Division.notebook
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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?
Module 4 Lesson 27 OneStep Equations―Multiplication and Division.notebook
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Exercises
1. Use tape diagrams to solve the following problem: 3m = 21
Module 4 Lesson 27 OneStep Equations―Multiplication and Division.notebook
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Module 4 Lesson 27 OneStep Equations―Multiplication and Division.notebook
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3. Calculate the solution of the equation using the method of your choice: 4p = 36
Module 4 Lesson 27 OneStep Equations―Multiplication and Division.notebook
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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.
Module 4 Lesson 27 OneStep Equations―Multiplication and Division.notebook
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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.
Module 4 Lesson 27 OneStep Equations―Multiplication and Division.notebook
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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.
Module 4 Lesson 27 OneStep Equations―Multiplication and Division.notebook
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