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Engage NY MODULE 3 LESSON 3: WRITING PRODUCTS AS SUMS AND SUMS AS PRODUCTS "Grade 7 Mathematics Module 3." Grade 7 Mathematics Module 3. 9 Sept. 2014. Web. 26 Jan. 2015. <https://www.engageny.org/resource/grade-7-mathematics-module-3>.

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Page 1: MODULE 3 LESSON 3: Engage NY WRITING PRODUCTS AS SUMS AND ... · MODULE 3 LESSON 3: WRITING PRODUCTS AS SUMS AND SUMS AS PRODUCTS "Grade 7 Mathematics Module 3." Grade 7 Mathematics

Engage NY

MODULE 3 LESSON 3:

WRITING PRODUCTS

AS SUMS AND SUMS

AS PRODUCTS

"Grade 7 Mathematics Module 3." Grade 7 Mathematics Module 3. 9 Sept. 2014. Web. 26 Jan. 2015. <https://www.engageny.org/resource/grade-7-mathematics-module-3>.

Page 2: MODULE 3 LESSON 3: Engage NY WRITING PRODUCTS AS SUMS AND ... · MODULE 3 LESSON 3: WRITING PRODUCTS AS SUMS AND SUMS AS PRODUCTS "Grade 7 Mathematics Module 3." Grade 7 Mathematics
Page 3: MODULE 3 LESSON 3: Engage NY WRITING PRODUCTS AS SUMS AND ... · MODULE 3 LESSON 3: WRITING PRODUCTS AS SUMS AND SUMS AS PRODUCTS "Grade 7 Mathematics Module 3." Grade 7 Mathematics

Opening Exercise

Solve the problem using a tape diagram. A sum of money was

shared between George and Brian in a ratio of 3:4. If the sum of

money was $56.00, how much did George get?

George

?

Brian

567 units = 56

1 unit = 8

3 units =24

George received $24.

Page 4: MODULE 3 LESSON 3: Engage NY WRITING PRODUCTS AS SUMS AND ... · MODULE 3 LESSON 3: WRITING PRODUCTS AS SUMS AND SUMS AS PRODUCTS "Grade 7 Mathematics Module 3." Grade 7 Mathematics

Example 1

Represent 3 + 2 using a tape diagram.

3 2

Page 5: MODULE 3 LESSON 3: Engage NY WRITING PRODUCTS AS SUMS AND ... · MODULE 3 LESSON 3: WRITING PRODUCTS AS SUMS AND SUMS AS PRODUCTS "Grade 7 Mathematics Module 3." Grade 7 Mathematics

Example 1

Represent x + 2 using a tape diagram.

x 2

Page 6: MODULE 3 LESSON 3: Engage NY WRITING PRODUCTS AS SUMS AND ... · MODULE 3 LESSON 3: WRITING PRODUCTS AS SUMS AND SUMS AS PRODUCTS "Grade 7 Mathematics Module 3." Grade 7 Mathematics

Example 1

Draw a rectangular array for 3(3 + 2)

3 2

3

Page 7: MODULE 3 LESSON 3: Engage NY WRITING PRODUCTS AS SUMS AND ... · MODULE 3 LESSON 3: WRITING PRODUCTS AS SUMS AND SUMS AS PRODUCTS "Grade 7 Mathematics Module 3." Grade 7 Mathematics

Example 1

Draw a rectangular array for 3(x + 2)

x 2

3

Page 8: MODULE 3 LESSON 3: Engage NY WRITING PRODUCTS AS SUMS AND ... · MODULE 3 LESSON 3: WRITING PRODUCTS AS SUMS AND SUMS AS PRODUCTS "Grade 7 Mathematics Module 3." Grade 7 Mathematics

Exercise 1

Determine the area of each region using the distributive

property.

11 ∙ 16

176

11 ∙ 5

55

Page 9: MODULE 3 LESSON 3: Engage NY WRITING PRODUCTS AS SUMS AND ... · MODULE 3 LESSON 3: WRITING PRODUCTS AS SUMS AND SUMS AS PRODUCTS "Grade 7 Mathematics Module 3." Grade 7 Mathematics

Example 2

Draw a tape diagram to represent each expression.

a. (x + y) + (x + y) + (x + y)

x y x y x y

Page 10: MODULE 3 LESSON 3: Engage NY WRITING PRODUCTS AS SUMS AND ... · MODULE 3 LESSON 3: WRITING PRODUCTS AS SUMS AND SUMS AS PRODUCTS "Grade 7 Mathematics Module 3." Grade 7 Mathematics

Example 2

Draw a tape diagram to represent each expression.

b. (x + x + x) + (y + y + y)

x x yx y y

Page 11: MODULE 3 LESSON 3: Engage NY WRITING PRODUCTS AS SUMS AND ... · MODULE 3 LESSON 3: WRITING PRODUCTS AS SUMS AND SUMS AS PRODUCTS "Grade 7 Mathematics Module 3." Grade 7 Mathematics

Example 2

Draw a tape diagram to represent each expression.

c. 3x + 3y

x x yx y y

Page 12: MODULE 3 LESSON 3: Engage NY WRITING PRODUCTS AS SUMS AND ... · MODULE 3 LESSON 3: WRITING PRODUCTS AS SUMS AND SUMS AS PRODUCTS "Grade 7 Mathematics Module 3." Grade 7 Mathematics

Example 2

Draw a tape diagram to represent each expression.

c. 3x + 3y

x y

3

Page 13: MODULE 3 LESSON 3: Engage NY WRITING PRODUCTS AS SUMS AND ... · MODULE 3 LESSON 3: WRITING PRODUCTS AS SUMS AND SUMS AS PRODUCTS "Grade 7 Mathematics Module 3." Grade 7 Mathematics

Example 2

Draw a tape diagram to represent each expression.

d. 3(x + y)

x y

3 3x 3y

Page 14: MODULE 3 LESSON 3: Engage NY WRITING PRODUCTS AS SUMS AND ... · MODULE 3 LESSON 3: WRITING PRODUCTS AS SUMS AND SUMS AS PRODUCTS "Grade 7 Mathematics Module 3." Grade 7 Mathematics

Homework

Problem Set #1-2

Study for fraction quiz Thursday

Quiz corrections due Friday