1.  Students will be able to use the Distributive Property to simplify expressions.

2. Algebra 1 Foundations, pg 52 To solve problems in mathematics, it is often useful to rewrite expressions in simpler forms. The _____________________, illustrated by the area model below, is another property of real numbers that helps you to simplify expressions. Distributive Property

3.  Students will be able to use the Distributive Property to simplify expressions. Focus Question How does the Distributive Property work? Multiply the expression outside the parentheses by each expression inside the parentheses. Algebra 1 Foundations, pg 52 “The ___________________ can be used to multiply or to factor expressions. When you multiply using the distributive property, the product will have no parentheses.” Pre-Algebra, pg 68 distributive property

4. Review: What does this expression mean: 3m?  3 is being multiplied by m.  There are 3 m’s. What does this expression mean: 3(m+2)?  3 is being multiplied by the group (m+2).  There are 3 (m+2)’s.  Students will be able to use the Distributive Property to simplify expressions. Here’s why it works: 3(m+2) = (m+2) + (m+2) + (m+2) = m + m + m + 2 + 2 + 2 = 3m + 6

5. Three times the sum of 10 + 5 is written as 3(10 + 5). You can find the result in two ways. One way is to perform the operation inside parentheses first. 3(10 + 5) AGS Algebra, pg 38 Another way is to use the distributive property. 3(10 + 5)  Students will be able to use the Distributive Property to simplify expressions.

6. Algebra 1 Foundations, pg 53

7. Example: Simplify 3(a + b). Since you cannot perform the operation inside parentheses first (because you do not know the values of a and b), use the distributive property. Apply the distributive property. 3(a + b)  Students will be able to use the Distributive Property to simplify expressions.

8. Example: 3(r + 4) 3(r + 4) means (r + 4) + ( r+ 4) + (r + 4) r + r + r + 4 + 4 + 4 3r + 12 Apply the distributive property. 3(r + 4)  Students will be able to use the Distributive Property to simplify expressions.

9. Example: 2(a + 6b + 1) Apply the distributive property. 2(a + 6b + 1)  Students will be able to use the Distributive Property to simplify expressions.

11. Algebra 1 Foundations, pg 53 division Recall that a fraction bar may act as a grouping symbol. A fraction bar indicates ___________. Any fraction can also be written as a. You can use this fact and the Distributive Property to rewrite some fractions as sums or differences. abab 1b1b

12.  Students will be able to use the Distributive Property to simplify expressions.

13. Algebra 1 Foundations, pg 53

14.  Students will be able to use the Distributive Property to simplify expressions.