Algebra 2 4-6 Guided Practice: Completing the Square

by Matthew Richardson

| 9 Questions1

1

10

Solve It! How can you use pieces like these to form a square with side length x + 3 (and no overlapping pieces)? Show a sketch of your solution on the canvas. Use bright contrasting colors.

You may also create a copy of this Google Drawing and use it for your model. If you do, upload a screenshot to the canvas.

2

2

10

Problem 1 Got It?

A

B

C

D

3

3

10

Problem 1 Got It?

A

B

C

D

4

4

10

Problem 2 Got It? The lengths of the sides of a rectangular window have the ratio 1.6 to 1. The area of the window is 2822.4 in.². What are the window dimensions?

A

B

C

D

5

5

10

Problem 3 Got It?

A

B

C

D

6

10

Problem 4 Got It? What value completes the square for the expression?

6

36

3

9

7

10

Problem 4 Got It: Reasoning: Is it possible for more than one value to complete the square for an expression? Explain.

Yes; There will sometimes be mutiple positive values that complete the square for an expression.

Yes; There will sometimes be both a positive and a negative value that completes the square for an expression.

No; The in the expression for finding the value that completes the square, (b/2)², each input b provides exactly one output.

8

8

10

Problem 5 Got It?

A

B

C

D

9

9

10

Problem 6 Got It?

A

B

C

Add to my formatives list

Formative uses cookies to allow us to better understand how the site is used. By continuing to use this site, you consent to the Terms of Service and Privacy Policy.