complete the square and write as a squared binomial. 1.x 2 + 6x + _____ = _____________

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Sept. 1 Sept. 1 Completing the Completing the Square Square Sept. 2 Sept. 2 5.2 (GREEN/class- 5.2 (GREEN/class- work) work) Sept. 3 Sept. 3 Review Review Sept. 4 Sept. 4 Quiz Quiz Sept. 7 Sept. 7 NO SCHOOL NO SCHOOL Sept. 8-11 Sept. 8-11 Solving Quadratic Solving Quadratic Systems (GREEN) Systems (GREEN) Sept. 14 Sept. 14 Task Task Sept. 15 Sept. 15 Quiz Quiz Sept. 16 Sept. 16 Review Review

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Warm Up. Complete the square and write as a squared binomial. 1.x 2 + 6x + _____ = _____________ 2.x 2 – 10x + _____ = _____________ 3.x 2 + 24x + _____ = _____________ 4.x 2 + 2x + _____ = _____________ 5.x 2 – 5x + _____ = ______________ 6. - PowerPoint PPT Presentation

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Page 1: Complete the square and write as a squared binomial. 1.x 2  + 6x +  _____ = _____________

Sept. 1Sept. 1 Completing the SquareCompleting the Square

Sept. 2Sept. 2 5.2 (GREEN/class-work)5.2 (GREEN/class-work)

Sept. 3Sept. 3 ReviewReview

Sept. 4Sept. 4 QuizQuiz

Sept. 7Sept. 7 NO SCHOOLNO SCHOOL

Sept. 8-11Sept. 8-11 Solving Quadratic Solving Quadratic Systems (GREEN)Systems (GREEN)

Sept. 14Sept. 14 TaskTask

Sept. 15Sept. 15 QuizQuiz

Sept. 16Sept. 16 ReviewReview

Sept. 17Sept. 17 ReviewReview

Sept. 18Sept. 18 Circles TEST!Circles TEST!

Page 2: Complete the square and write as a squared binomial. 1.x 2  + 6x +  _____ = _____________
Page 3: Complete the square and write as a squared binomial. 1.x 2  + 6x +  _____ = _____________

Complete the square and write as a squared binomial.

1.1. x2 + 6x + _____ = _____________

2.2. x2 – 10x + _____ = _____________

3.3. x2 + 24x + _____ = _____________

4.4. x2 + 2x + _____ = _____________

5.5. x2 – 5x + _____ = ______________

6.6. 2 3 ______ _______________x x

Warm Up

This will be a critical skill we will use with conic sections!

Page 4: Complete the square and write as a squared binomial. 1.x 2  + 6x +  _____ = _____________

Solve by completing the square.

21. 6 16 0x x

Warm Up

22. 4 11x x

Page 5: Complete the square and write as a squared binomial. 1.x 2  + 6x +  _____ = _____________

Standard Form for a Circle

Where the center is (h,k)

and the radius is r.

(h, k)

r

Page 6: Complete the square and write as a squared binomial. 1.x 2  + 6x +  _____ = _____________

Center: Radius:

(3, -2)

7

Find the center and radius then graph.

Center:

2

(-1, 0)

Radius:

Page 7: Complete the square and write as a squared binomial. 1.x 2  + 6x +  _____ = _____________

Write an equation in standard form for the following circle.

7616 22 yyxx22 716 6yx x y

22 716 6x y yx

2 2

Page 8: Complete the square and write as a squared binomial. 1.x 2  + 6x +  _____ = _____________

Write an equation in standard form for the following circle.

12422 yyx

Page 9: Complete the square and write as a squared binomial. 1.x 2  + 6x +  _____ = _____________

Write an equation in standard form for the following circle.

2 2 4 6 3 0x y x y

Page 10: Complete the square and write as a squared binomial. 1.x 2  + 6x +  _____ = _____________

2 2 2 2

2 2 2 2

2 2 2 2

2 2 2 2

2 2 2 2

2 2 2 2

2 2

1. 4 12 2. 2 8

3. 2 2 2 4. 2 6 6

5. 10 2 23 6. 12 6 19

7. 6 17 0 8. 20 19 0

9. 0 10. 0

11. 3 7.5 12. 7 12.5

13. 12 2 8

x y y x x y

x x y y x x y y

x y x y x y x y

x y x x y y

x y x y x y x y

x y x y x y x y

x y x y

2 2

2 2 2 2

0 14. 6 10 2 0

15. 6 14 42 0 16. 10 6 0

x y x y

x y x y x y x y