(7) Inquiry Lab - Factor Linear Expressions

(7) Inquiry Lab - Factor Linear Expressions

1. HOW do models help you factor linear expressions? Course 2, Inquiry Lab before Lesson 5-8 Expressions and Equations

2. 7.EE.1 Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients. Mathematical Practices 1 Make sense of problems and persevere in solving them. 3 Construct viable arguments and critique the reasoning of others. Course 2, Inquiry Lab before Lesson 5-8 Common Core State Standards © Copyright 2010. National Governors Association Center for Best Practices and Council of Chief State School Officers. All rights reserved. Expressions and Equations

3. Course 2, Inquiry Lab before Lesson 5-8 Activity 1 Continued  Expressions and Equations Max has enough 1 inch square glass tiles to create a rectangular piece of mosaic art that has an area of 24 square inches. Some of the possible dimensions of the rectangle are listed in the table. Write the two missing possible dimensions. Model the expression 2 x + 6 Use algebra tiles to factor 2 x + 6

4. Course 2, Inquiry Lab before Lesson 5-8 Expressions and Equations Max has enough 1 inch square glass tiles to create a rectangular piece of mosaic art that has an area of 24 square inches. Some of the possible dimensions of the rectangle are listed in the table. Write the two missing possible dimensions. Use algebra tiles to factor 2 x + 6 Arrange the tiles into a rectangle with equal rows and columns. The total area of the tiles represents the product. Its length and width represent the factors. The rectangle has a width of two 1-tiles and a length of one x -tile and three 1-tiles So, 2 x + 6 = 2( x + )

5. Course 2, Inquiry Lab before Lesson 5-8 Activity 2 Continued  Expressions and Equations Use algebra tiles to factor 2 x – 8 Model the expression 2 x – 8

6. Course 2, Inquiry Lab before Lesson 5-8 Expressions and Equations Use algebra tiles to factor 2 x – 8 Arrange the tiles into a rectangle with equal rows and columns. The rectangle has a width of two 1-tiles and a length of one x -tile and four 1-tiles. So, 2 x – 8 = ___________________ .

7. Course 2, Inquiry Lab before Lesson 5-8 Activity 3 Continued  Expressions and Equations Use algebra tiles to factor 3 x – 6 Draw the tiles that represent the expression 3 x – 6

8. Course 2, Inquiry Lab before Lesson 5-8 Expressions and Equations Use algebra tiles to factor 3 x – 6 Redraw the tiles onto a rectangle with equal rows and columns. The rectangle has a width of __________ 1-tiles and a length of one x -tile and ___________ –1-tiles. So, 3 x – 6 = __________________ .

9. Course 2, Inquiry Lab before Lesson 5-8 HOW do models help you factor linear expressions? Expressions and Equations