Objective: SWBAT… Factor perfect square trinomials and the difference of two squares

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Objective: SWBAT… Factor perfect square trinomials and the difference of two squares Bell Ringer: Explain the rule for simplifying like terms when you are adding and subtracting polynomials. •5 minutes •4 minutes •3 minutes •2 minutes •1 minute •30 seconds TIMES UP!!! Homework: 1. Write out all the perfect squares with factors from 1 to 15. Example: 1*1 = 1, 2*2=4, 15*15=? 2. Know all of these perfect squares and be prepared for a quiz on Thursday.

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Homework: 1. Write out all the perfect squares with factors from 1 to 15. Example: 1*1 = 1, 2*2=4, 15*15=? 2. Know all of these perfect squares and be prepared for a quiz on Thursday. Objective: SWBAT… Factor perfect square trinomials and the difference of two squares. Bell Ringer: - PowerPoint PPT Presentation

Transcript of Objective: SWBAT… Factor perfect square trinomials and the difference of two squares

Page 1: Objective:  SWBAT… Factor perfect square trinomials and the difference of two squares

Objective: SWBAT… Factor perfect square trinomials and the difference of two squares

Bell Ringer:Explain the rule for simplifying like terms when you are adding and subtracting polynomials.

•5 minutes•4 minutes•3 minutes•2 minutes•1 minute•30 seconds•TIMES UP!!!

Homework:1. Write out all the perfect squares with factors from 1 to 15. Example: 1*1 = 1, 2*2=4, 15*15=?2. Know all of these perfect squares and be prepared for a quiz on Thursday.

Page 2: Objective:  SWBAT… Factor perfect square trinomials and the difference of two squares

Examples

For every real number a and ba2 + 2ab + b2 = (a+b)(a+b) =(a+b) 2

a2 - 2ab + b2 = (a-b)(a-b)

=(a-b) 2

Perfect Square Trinomial

A. x2 + 8x + 16 = (x+4)(x+4)

= (x+4)2

B. 4n2 – 12n +9 = (2n-3)(2n-3)

= (2n-3)2

Objective: SWBAT… Factor perfect square trinomials and the difference of two squares

Homework:1. Write out all the perfect squares with factors from 1 to 15. Example: 1*1 = 1, 2*2=4, 15*15=?2. Know all of these perfect squares and be prepared for a quiz on Thursday.

Page 3: Objective:  SWBAT… Factor perfect square trinomials and the difference of two squares

Factoring the difference of two squares:

1. The first and last terms are perfect squares How do you recognize a Perfect Square Trinomial?

a2-b2 = (a+b) (a-b)

x2-64 = (x-8)(x+8)

Objective: SWBAT… Factor perfect square trinomials and the difference of two squares

2. The middle term is twice the product of one factor from the first term and one factor from the last term

For al real numbers a and b

Example

Homework:1. Write out all the perfect squares with factors from 1 to 15. Example: 1*1 = 1, 2*2=4, 15*15=?2. Know all of these perfect squares and be prepared for a quiz on Thursday.

Page 4: Objective:  SWBAT… Factor perfect square trinomials and the difference of two squares

Factor the following:

9x2- 49 = (9x + 7)(9x-7)Describe and correct the error made in factoring:

Objective: SWBAT… Factor perfect square trinomials and the difference of two squares

1. x2 -14x + 492. s2 -163. 12x2 – 12x + 3

Homework:1. Write out all the perfect squares with factors from 1 to 15. Example: 1*1 = 1, 2*2=4, 15*15=?2. Know all of these perfect squares and be prepared for a quiz on Thursday.

Page 5: Objective:  SWBAT… Factor perfect square trinomials and the difference of two squares

Describe what perfect square is, in your own word, and explain why it would be helpful to know when factoring.

Reflection

Objective: SWBAT… Factor perfect square trinomials and the difference of two squares

Homework:1. Write out all the perfect squares with factors from 1 to 15. Example: 1*1 = 1, 2*2=4, 15*15=?2. Know all of these perfect squares and be prepared for a quiz on Thursday.

Page 6: Objective:  SWBAT… Factor perfect square trinomials and the difference of two squares

Remove everything from your desk except a pen or pencil

QUIZ!!! 5 – 10 minutes

Objective: SWBAT… Factor perfect square trinomials and the difference of two squares

Homework:1. Write out all the perfect squares with factors from 1 to 15. Example: 1*1 = 1, 2*2=4, 15*15=?2. Know all of these perfect squares and be prepared for a quiz on Thursday.