1 / 15

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

damisi
Télécharger la présentation

The Distributive Property

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  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

More Related