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The Distributive Property

The Distributive Property. Logistics. Grade Level : 8th Grade Objective: The students will be able to use the distributive property to solve equations through notes , examples, worksheets, and closing video. Time : 50 minutes. Pre- Requisites. Adding, Subtracting, Multiplying Integers

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The Distributive Property

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  1. The Distributive Property

  2. Logistics • Grade Level : 8th Grade • Objective: The students will be able to use the distributive property to solve equations through notes, examples, worksheets, and closing video. • Time: 50 minutes

  3. Pre- Requisites • Adding, Subtracting, Multiplying Integers • Order of Operations • Variables • Substitution

  4. DO NOW • Define “distribute”.

  5. Using the Distributive Property • The Distributive Property is an algebra property which is used to multiply a single term and two or more terms inside a set of parentheses. Take a look at the problem below. 5(4 + 11) =

  6. Methods Example: 5(4 +11) = • Method 1 – Order of Operations (4 + 11) = 15 (Parenthesis) 5 x 15 = 75 (Multiplication) • Method 2 – Distribute (5 x 4) + (5 x 11) = (Multiply 5 by 4 & 11) 20 + 55 = 75 (Add answers together) You are “distributing” the five to be multiplied by 4 and by 11.

  7. Other Examples: 5 (6 + 3) Method 1 (6 + 3) = 9 5 x 9 = 45 Method 2 (5 x 6) + (5 x 3) = 30 + 15 = 45

  8. Other Examples:4 (6 - 2) Method 1 (6 - 2) = 4 4 x 4 = 16 Method 2 (4 x 6) - (4 x 2) = 24 - 8 = 16

  9. Using Variables in the distributive property Example: 5 (n + 7) = • Distribute the 5 to the “n” and the “7” (5 x n) + (5 x 7) = 5n + 35 = • You can not compute any further because you do not know what “x” is

  10. Other Examples 4 (c + 7) 8 (4 + v) 4 * c + 4 * 7 8 * 4 + 8 * v 4c + 28 32 + 8v 7 (b – 11) 7 * b – 7 * 11 7b - 77

  11. Using Substitution with the Distributive Property • Example: 5 (n + 7) = when n = 2 • Substitute “n” with 2 • 5 (2 + 7) = (5 x 2) + (5 x 7) = 10 + 35 = 45

  12. Now…Work on your own. • 7 (3 + 1) = 5. 9 (8 + n) = • 8 (4 – 2) = 6. 2 (12 – 4) = • 4 (r+ 6) = 7. 6 (n + 1) = • 10 (x- 8) = 8. 5 (n + 3) = (when n = 4)

  13. Partner Practice 1. 2 (4 + 8) 5. 9 (b - 10) 2. 8 (3 + 11) 6. 14(c - 2) 3. 12 (x + 12) 7. 5(5 + k) 4. 7 (20 + p) 8. (b + 9) 3

  14. Conclusion • Let’s watch how the distributive property can be use in the “Real World”.

  15. Links to Support Lesson http://teachers.henrico.k12.va.us/math/ms/c20708/01NumberSense/1-5DistributiveProp.html http://www.coolmath.com/prealgebra/06-properties/05-properties-distributive-01.htm http://www.hstutorials.net/dialup/distributiveProp.htm

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