objective: students will solve quadratic equations by completing the square perfect square numbers:...

Objective: Students will solve quadratic equations by completing the square Perfect Square Numbers: What are they? Give Examples.

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Objective: Students will solve quadratic equations by completing the square

Perfect Square Numbers: What are they? Give Examples.

Creating Perfect Square Trinomials Using Algebra Tiles

21. 6x xWhat is missing to build a complete square?

Page 3: Objective: Students will solve quadratic equations by completing the square Perfect Square Numbers: What are they? Give Examples

Creating Perfect Square Trinomials Using Algebra Tiles

22. 10x xWhat is missing to build a complete square?

Page 4: Objective: Students will solve quadratic equations by completing the square Perfect Square Numbers: What are they? Give Examples

Creating Perfect Square Trinomials Using Algebra Tiles

23. 8x xWhat is missing to build a complete square?

Page 5: Objective: Students will solve quadratic equations by completing the square Perfect Square Numbers: What are they? Give Examples

Is there a pattern?

23. ____8x x

21. ____6x x 2 102. ___x x

2 3 3 9

or23 9

105

andand

25 25

9 25

4 16 and

Page 6: Objective: Students will solve quadratic equations by completing the square Perfect Square Numbers: What are they? Give Examples

Work with a partner to create a perfect square trinomial of

.2 12 ____x x

2126 36

What would you do do createa perfect square trinomial ofof x2 + bx + ______ ?

Divide b by 2 and

square it.or

Page 7: Objective: Students will solve quadratic equations by completing the square Perfect Square Numbers: What are they? Give Examples

Find the term that should be added to the expression to create a perfect square trinomial

21. 8x x 22. 16x x

23. 16x x 24. 6x x

Page 8: Objective: Students will solve quadratic equations by completing the square Perfect Square Numbers: What are they? Give Examples

White Board Practice

25. 10x x 26. 18x x

27. 14x x 28. 4x x

Page 9: Objective: Students will solve quadratic equations by completing the square Perfect Square Numbers: What are they? Give Examples

Notes:Factor each perfect square trinomial

21. 10 25x x 22. 16 64x x

23. 6 9x x 24. 12 36x x

Page 10: Objective: Students will solve quadratic equations by completing the square Perfect Square Numbers: What are they? Give Examples

White Board Practice:Factor each perfect square trinomial

25. 4 4x x 26. 14 49x x

27. 20 100x x 28. 24 144x x

Page 11: Objective: Students will solve quadratic equations by completing the square Perfect Square Numbers: What are they? Give Examples

On your own

21. 26x x 22. 2x x

23. 30 225x x 24. 6 9x x

Add a term…

Factor

Page 12: Objective: Students will solve quadratic equations by completing the square Perfect Square Numbers: What are they? Give Examples

Challenge

21. 5x x 22. 9x x

Add a term

Page 13: Objective: Students will solve quadratic equations by completing the square Perfect Square Numbers: What are they? Give Examples

Pop Quiz!

Factor

21. 6 9x x 22. 10 25x x

23. 18x xFind the missing term…

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