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Module 4 Lesson 12 Distributing Expressions.notebook
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March 23, 2015
Oct 88:53 AM
Monday Problem Set Lesson 12Tuesday Problem Set Lessons 13 & 14Wednesday Problem Set Lesson 15Thursday Problem Set Lesson 16 & 17
Friday Review Packet Test Mid Module Assesment Monday
Module 4 Lesson 12 Distributing Expressions.notebook
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Problem Set Lesson 11 Answers
Module 4 Lesson 12 Distributing Expressions.notebook
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MODULE 4 Expressions and EquationsTopic C: Replacing Letter and Numbers Lesson 12: Distributing Expressions
Student Outcomes § Students model and write equivalent expressions using the distributive property. They move from a factored form to an expanded form of an expression.
Module 4 Lesson 12 Distributing Expressions.notebook
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Classwork Opening Exercisea. Create a model to show 2 x 5.
b. Create a model to show 2 x b, or 2b.
Module 4 Lesson 12 Distributing Expressions.notebook
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Example 1Write an expression that is equivalent to 2(a + b)Create a model to represent (a + b).
The expression 2(a + b) tells us that we have 2 of the (a + b)’s. Create a model that shows 2 groups of (a + b)
How many a’s and how many b’s do you see in the diagram?
Module 4 Lesson 12 Distributing Expressions.notebook
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How would the model look if we grouped together the a’s and then grouped together the b’s?
What expression could we write to represent the new diagram?
What conclusion can we draw from the models about equivalent expressions?
Module 4 Lesson 12 Distributing Expressions.notebook
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2(a + b) 2a + 2b Let a = 3 and b = 4
What happens when we double ( a + b)?
To prove that these two forms are equivalent, let’s plug in some values for a and b and see what happens.
Module 4 Lesson 12 Distributing Expressions.notebook
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Example 2Write an expression that is equivalent to double (3x + 4y).
How can we rewrite double (3x + 4y)?
Is this expression in factored form, expanded form, or neither?
Module 4 Lesson 12 Distributing Expressions.notebook
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Let’s start this problem the same way that we started the first example. What should we do?
How can we change the model to show 2(3x + 4y)?
Are there terms that we can combine in this example?
Module 4 Lesson 12 Distributing Expressions.notebook
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What is an equivalent expression that we can use to represent 2(3x + 4y)?
Summarize how you would solve this question without the model.
Module 4 Lesson 12 Distributing Expressions.notebook
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Example 3Write an expression in expanded form that is equivalent to the model below.
What factored expression is represented in the model?
How can we rewrite this expression?
Module 4 Lesson 12 Distributing Expressions.notebook
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Example 4
Write an expression that is equivalent to 3(7d + 4e).
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Mar 233:22 PM
Exercises
Create a model for each expression below. Then write another equivalent expression using the distributive property.
1. 3 (x + y)
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2. 4(2h + g)
Create a model for each expression below. Then write another equivalent expression using the distributive property.
Module 4 Lesson 12 Distributing Expressions.notebook
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Apply the distributive property to write an equivalent expression.
3. 8(h+3)
4. 3(2h + 7)
5. 5(3x + 9y)
6. 4(11h + 3g)
7.
8. a(9b + 13)
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Aug 268:21 PM
Closing
Please take out your exit ticket for Lesson 12, close your binder, and complete the exit ticket. This will be collected.
Module 4 Lesson 12 Distributing Expressions.notebook
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March 23, 2015
Mar 233:40 PM