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Module 4 lesson 12
1.
Module 4 Lesson 12 Distributing Expressions.notebook 1 March 27, 2014 Problem Set Lesson 11 Answers
2.
Module 4 Lesson 12 Distributing Expressions.notebook 2 March 27, 2014 MODULE 4 Expressions and Equaons Topic C: Replacing Leer and Numbers Lesson 12: Distribung Expressions Student Outcomes § Students model and write equivalent expressions using the distribuve property. They move from a factored form to an expanded form of an expression.
3.
Module 4 Lesson 12 Distributing Expressions.notebook 3 March 27, 2014 Classwork Opening Exercise a. Create a model to show 2 x 5. b. Create a model to show 2 x b, or 2b.
4.
Module 4 Lesson 12 Distributing Expressions.notebook 4 March 27, 2014 Example 1 Write 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?
5.
Module 4 Lesson 12 Distributing Expressions.notebook 5 March 27, 2014 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?
6.
Module 4 Lesson 12 Distributing Expressions.notebook 6 March 27, 2014 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.
7.
Module 4 Lesson 12 Distributing Expressions.notebook 7 March 27, 2014 Example 2 Write 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?
8.
Module 4 Lesson 12 Distributing Expressions.notebook 8 March 27, 2014 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?
9.
Module 4 Lesson 12 Distributing Expressions.notebook 9 March 27, 2014 What is an equivalent expression that we can use to represent 2(3x + 4y)? Summarize how you would solve this queson without the model.
10.
Module 4 Lesson 12 Distributing Expressions.notebook 10 March 27, 2014 Example 3 Write 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?
11.
Module 4 Lesson 12 Distributing Expressions.notebook 11 March 27, 2014 Example 4 Write an expression that is equivalent to 3(7d + 4e).
12.
Module 4 Lesson 12 Distributing Expressions.notebook 12 March 27, 2014 Exercises Create a model for each expression below. Then write another equivalent expression using the distribuve property. 1. 3 (x + y)
13.
Module 4 Lesson 12 Distributing Expressions.notebook 13 March 27, 2014 2. 4(2h + g) Create a model for each expression below. Then write another equivalent expression using the distribuve property.
14.
Module 4 Lesson 12 Distributing Expressions.notebook 14 March 27, 2014 Apply the distribuve 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)
15.
Module 4 Lesson 12 Distributing Expressions.notebook 15 March 27, 2014 Closing Please take out
your exit ticket for Lesson 12, close your binder, and complete the exit ticket. This will be collected.
16.
Module 4 Lesson 12 Distributing Expressions.notebook 16 March 27, 2014
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