1 / 22

Completing The Square

Completing The Square. Completing the Square. This is an x. Show me x 2. x. x 2. Show me x 2 + 6x. Completing the Square. x. x. x. x. x. x. x 2. x 2. Let's Make a Square. Completing the Square. How many units are required to complete the square?. 9!.

shiri
Download Presentation

Completing The Square

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. Completing The Square

  2. Completing the Square • This is an x. Show mex2. x x2 Show me x2 + 6x

  3. Completing the Square x x x x x x x2 x2 Let's Make a Square

  4. Completing the Square How many units are required to complete the square? 9! The picture is now x2 + 6x + 9, which factors (x+3)(x+3) = (x+3)2

  5. x2 + 6x + 9 = x2 + 6x (x + 3)2 + (x + 3) (x + 3) 9 x 1 1 1 x 1 1 1 x 1 1 1 x2 (x + 3) (x + 3) x x x x x

  6. Let’s Try Another One! • Show me x2 + 2x Let's Make a Square x x x2

  7. Completing the Square How many units are required to complete the square? 1! x2 x2 The picture is now x2 + 2x + 1 which factors (x+1)(x+1) = (x+1)2

  8. Last One with Manipulatives Show me x2 + 8x Let's Make a Square x x x x x x x x x2

  9. Completing the Square Again, how many units are required to complete the square? 16 So,the picture is now x2 + 8x + 16 which factors (x+4)(x+4) = (x+4)2

  10. Hard One! Complete the square for x2 + 18x + ___ How many units are needed? There are not enough pieces to do this problem. Can we do it using paper and pencil?

  11. Complete the Square x2 + 8x 8 + = 16 ( ) 4 ½ 2 4 x2 + 8x + 16 = (x + )2

  12. Complete the Square x2 - 10x -10 + = 25 ( ) -5 ½ 2 (-5) - 5 x2 + 10x + 25 = (x )2

More Related