7.EE.1 Use of Properties of Operations to Generate Equivalent Expressions

7.EE.1 Use of properties of operations to generate equivalent expressions

Standard 1: Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients.

Goal: Students will be able to apply the distributive property to expand and factor linear expressions with rational numbers.

Develop: Candy bar activity: What does it mean to distribute? Develop Task

Goal: students are able to come up with at least two ways of solving the problem

Anticipate: problems with setting up the equations

Terms to know: expression, simplify, evaluate, expand, factor

Solidify: Video: vimeo.com/34683858 Lining up dominoes

Goal: solidify task using multiple learning styles

Anticipate: solving accuracy, problems using positive and negative numbers

Practice: Practice task worksheet Distributive Property Multiplication (A)

Anticipate: reading skills EXPRESSIONS AND EQUATIONS 7.EE

Use properties of operations to generate equivalent expressions

1. Apply properties of operations as strategies to add, subtract, Factor, and expand linear expressions with rational coefficients.

The Distributive Property of Multiplication

DEVELOP TASK

Jordan buys three notebooks that cost $5 each. He also buys three packages of pens for $6 each.

1. Write an expression that shows the cost of three notebooks added to the cost of three packages of pens.

2. Write an expression that shows three times the cost of one notebook and one package of pens.

3. Evaluate both expressions. What do you notice?

4. Based on your findings above, how would you simplify the expression below?

a(b+c) = This time Jordan wants to find the area of his patio. He knows that the area of his patio is determined by multiplying the length times the width. A = L x W

1. Using the distributive property determine the area of Jordan’patio.

X 6 Practice Task

Use the Distributive Property to evaluate each expression.

1. 3(5 + 6)

2. -4(4 – 7)

3. (6 + 5)(-5)

Use the distribute Property to rewrite each expression.

4. 3( 4x + 7)

5. 4(x – 6)

6. -3(5 – b)

7. (d + 3)(-7)

8. Amelia bought roast beef for $6.85 per pound. Find the total cost if Amelia bought 4 pounds of roast beef. Justify your answer by using the Distributive Property.

9. Write an expression using three terms that can be simplified to 12a + 18b – 6c.

10. Use the Distributive Property to rewrite the expression 7bx + 7by