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Algebra 2 Unit 3 Day 9 DP Polynomial Identities.notebook October 26, 2017 DO NOW Algebra 2 10/26/17 Aim : What are Polynomial Identities & How Can They Help Us? HW : Polynomial Identities and Factoring WS Expand each expression by using FOIL or the box method. Simplify your answers. 1) 2)
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Algebra 2 - Unit 3 - Day 9 - DP Polynomial … · Algebra 2 Unit 3 Day 9 DP Polynomial Identities.notebook October 26, 2017 DO NOW Algebra 2 ... 9) 2) 4) 6) 8) 10) 8 10 Correct 0

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Page 1: Algebra 2 - Unit 3 - Day 9 - DP Polynomial … · Algebra 2 Unit 3 Day 9 DP Polynomial Identities.notebook October 26, 2017 DO NOW Algebra 2 ... 9) 2) 4) 6) 8) 10) 8 10 Correct 0

Algebra 2 ­ Unit 3 ­ Day 9 ­ DP Polynomial Identities.notebook October 26, 2017

DO NOW

Algebra 2                                                   10/26/17Aim: What are Polynomial Identities & How Can They Help Us?HW: Polynomial Identities and Factoring WS

Expand each expression by using FOIL or the box method. Simplify your answers.

1)

2)

Page 2: Algebra 2 - Unit 3 - Day 9 - DP Polynomial … · Algebra 2 Unit 3 Day 9 DP Polynomial Identities.notebook October 26, 2017 DO NOW Algebra 2 ... 9) 2) 4) 6) 8) 10) 8 10 Correct 0

Algebra 2 ­ Unit 3 ­ Day 9 ­ DP Polynomial Identities.notebook October 26, 2017

1) 2)

Aim: What are Polynomial Identities & How Can They Help Us?HW: Polynomial Identities and Factoring WS

Discuss with your Table Partner (A &B)

What is similar in structure of both of these solutions?What is different about the structure of the solutions?

Page 3: Algebra 2 - Unit 3 - Day 9 - DP Polynomial … · Algebra 2 Unit 3 Day 9 DP Polynomial Identities.notebook October 26, 2017 DO NOW Algebra 2 ... 9) 2) 4) 6) 8) 10) 8 10 Correct 0

Algebra 2 ­ Unit 3 ­ Day 9 ­ DP Polynomial Identities.notebook October 26, 2017

Aim: What are Polynomial Identities & How Can They Help Us?HW: Polynomial Identities and Factoring WS

As we have discussed since September, pattern recognition is an important skill in mathematics and helps us to solve problems quickly.

Can you spot a short cut to quickly get from the original problem to the answer without multiplying out all terms?

Think to YourselfDiscuss with Your Partner

Page 4: Algebra 2 - Unit 3 - Day 9 - DP Polynomial … · Algebra 2 Unit 3 Day 9 DP Polynomial Identities.notebook October 26, 2017 DO NOW Algebra 2 ... 9) 2) 4) 6) 8) 10) 8 10 Correct 0

Algebra 2 ­ Unit 3 ­ Day 9 ­ DP Polynomial Identities.notebook October 26, 2017

Aim: What are Polynomial Identities & How Can They Help Us?HW: Polynomial Identities and Factoring WS

Polynomial IdentitiesA polynomial equation that is true for every value of the variable 

Ex.

Page 5: Algebra 2 - Unit 3 - Day 9 - DP Polynomial … · Algebra 2 Unit 3 Day 9 DP Polynomial Identities.notebook October 26, 2017 DO NOW Algebra 2 ... 9) 2) 4) 6) 8) 10) 8 10 Correct 0

Algebra 2 ­ Unit 3 ­ Day 9 ­ DP Polynomial Identities.notebook October 26, 2017

Aim: What are Polynomial Identities & How Can They Help Us?HW: Polynomial Identities and Factoring WS

We can prove that a polynomial identity is true by using PEMDAS to simplify one side of equation and confirming is equivalent to the other side.

Page 6: Algebra 2 - Unit 3 - Day 9 - DP Polynomial … · Algebra 2 Unit 3 Day 9 DP Polynomial Identities.notebook October 26, 2017 DO NOW Algebra 2 ... 9) 2) 4) 6) 8) 10) 8 10 Correct 0

Algebra 2 ­ Unit 3 ­ Day 9 ­ DP Polynomial Identities.notebook October 26, 2017

Aim: What are Polynomial Identities & How Can They Help Us?HW: Polynomial Identities and Factoring WS

There are many polynomial identities that we should be familiar with in this course to help us perform mathematical tasks.

Page 7: Algebra 2 - Unit 3 - Day 9 - DP Polynomial … · Algebra 2 Unit 3 Day 9 DP Polynomial Identities.notebook October 26, 2017 DO NOW Algebra 2 ... 9) 2) 4) 6) 8) 10) 8 10 Correct 0

Algebra 2 ­ Unit 3 ­ Day 9 ­ DP Polynomial Identities.notebook October 26, 2017

Aim: What are Polynomial Identities & How Can They Help Us?HW: Polynomial Identities and Factoring WS

What Polynomial Identities Did We Identify?

Page 8: Algebra 2 - Unit 3 - Day 9 - DP Polynomial … · Algebra 2 Unit 3 Day 9 DP Polynomial Identities.notebook October 26, 2017 DO NOW Algebra 2 ... 9) 2) 4) 6) 8) 10) 8 10 Correct 0

Algebra 2 ­ Unit 3 ­ Day 9 ­ DP Polynomial Identities.notebook October 26, 2017

Aim: What are Polynomial Identities & How Can They Help Us?HW: Polynomial Identities and Factoring WS

Page 9: Algebra 2 - Unit 3 - Day 9 - DP Polynomial … · Algebra 2 Unit 3 Day 9 DP Polynomial Identities.notebook October 26, 2017 DO NOW Algebra 2 ... 9) 2) 4) 6) 8) 10) 8 10 Correct 0

Algebra 2 ­ Unit 3 ­ Day 9 ­ DP Polynomial Identities.notebook October 26, 2017

Aim: What are Polynomial Identities & How Can They Help Us?HW: Polynomial Identities and Factoring WS

Page 10: Algebra 2 - Unit 3 - Day 9 - DP Polynomial … · Algebra 2 Unit 3 Day 9 DP Polynomial Identities.notebook October 26, 2017 DO NOW Algebra 2 ... 9) 2) 4) 6) 8) 10) 8 10 Correct 0

Algebra 2 ­ Unit 3 ­ Day 9 ­ DP Polynomial Identities.notebook October 26, 2017

Aim: What are Polynomial Identities & How Can They Help Us?HW: Polynomial Identities and Factoring WS

Page 11: Algebra 2 - Unit 3 - Day 9 - DP Polynomial … · Algebra 2 Unit 3 Day 9 DP Polynomial Identities.notebook October 26, 2017 DO NOW Algebra 2 ... 9) 2) 4) 6) 8) 10) 8 10 Correct 0

Algebra 2 ­ Unit 3 ­ Day 9 ­ DP Polynomial Identities.notebook October 26, 2017

Aim: What are Polynomial Identities & How Can They Help Us?HW: Polynomial Identities and Factoring WS

Page 12: Algebra 2 - Unit 3 - Day 9 - DP Polynomial … · Algebra 2 Unit 3 Day 9 DP Polynomial Identities.notebook October 26, 2017 DO NOW Algebra 2 ... 9) 2) 4) 6) 8) 10) 8 10 Correct 0

Algebra 2 ­ Unit 3 ­ Day 9 ­ DP Polynomial Identities.notebook October 26, 2017Aim: What are Polynomial Identities & How Can They Help Us?HW: Polynomial Identities and Factoring WS

REGENTS RUBRIC

Page 13: Algebra 2 - Unit 3 - Day 9 - DP Polynomial … · Algebra 2 Unit 3 Day 9 DP Polynomial Identities.notebook October 26, 2017 DO NOW Algebra 2 ... 9) 2) 4) 6) 8) 10) 8 10 Correct 0

Algebra 2 ­ Unit 3 ­ Day 9 ­ DP Polynomial Identities.notebook October 26, 2017

What are polynomial identities and how are they useful to us in math class?

Aim: What are Polynomial Identities & How Can They Help Us?HW: Polynomial Identities and Factoring WS

Page 14: Algebra 2 - Unit 3 - Day 9 - DP Polynomial … · Algebra 2 Unit 3 Day 9 DP Polynomial Identities.notebook October 26, 2017 DO NOW Algebra 2 ... 9) 2) 4) 6) 8) 10) 8 10 Correct 0

Algebra 2 ­ Unit 3 ­ Day 9 ­ DP Polynomial Identities.notebook October 26, 2017

Start on Your Own Finish with a Partner

Assess as You Work

1

2

3

I got it!

I don't get it

I'm not sure 

Aim: What are Polynomial Identities & How Can They Help Us?HW: Polynomial Identities and Factoring WS

Polynomial Identities & Factoring

Page 15: Algebra 2 - Unit 3 - Day 9 - DP Polynomial … · Algebra 2 Unit 3 Day 9 DP Polynomial Identities.notebook October 26, 2017 DO NOW Algebra 2 ... 9) 2) 4) 6) 8) 10) 8 10 Correct 0

Algebra 2 ­ Unit 3 ­ Day 9 ­ DP Polynomial Identities.notebook October 26, 2017

Aim: How Do We Factor a Sum or Difference of Perfect Cubes?HW: Factoring Expressions Involving Perfect Cubes WS

1)

3)

5)

7)

9)

2)

4)

6)

8)

10)

8 ­ 10Correct

0 ­ 4Correct

5 ­ 7Correct

Page 16: Algebra 2 - Unit 3 - Day 9 - DP Polynomial … · Algebra 2 Unit 3 Day 9 DP Polynomial Identities.notebook October 26, 2017 DO NOW Algebra 2 ... 9) 2) 4) 6) 8) 10) 8 10 Correct 0

Algebra 2 ­ Unit 3 ­ Day 9 ­ DP Polynomial Identities.notebook October 26, 2017

Aim: How Do We Factor a Sum or Difference of Perfect Cubes?HW: Factoring Expressions Involving Perfect Cubes WS

Page 17: Algebra 2 - Unit 3 - Day 9 - DP Polynomial … · Algebra 2 Unit 3 Day 9 DP Polynomial Identities.notebook October 26, 2017 DO NOW Algebra 2 ... 9) 2) 4) 6) 8) 10) 8 10 Correct 0

Algebra 2 ­ Unit 3 ­ Day 9 ­ DP Polynomial Identities.notebook October 26, 2017

Aim: How Do We Factor a Sum or Difference of Perfect Cubes?HW: Factoring Expressions Involving Perfect Cubes WS

Page 18: Algebra 2 - Unit 3 - Day 9 - DP Polynomial … · Algebra 2 Unit 3 Day 9 DP Polynomial Identities.notebook October 26, 2017 DO NOW Algebra 2 ... 9) 2) 4) 6) 8) 10) 8 10 Correct 0

Algebra 2 ­ Unit 3 ­ Day 9 ­ DP Polynomial Identities.notebook October 26, 2017

Aim: How Do We Factor a Sum or Difference of Perfect Cubes?HW: Factoring Expressions Involving Perfect Cubes WS

Page 19: Algebra 2 - Unit 3 - Day 9 - DP Polynomial … · Algebra 2 Unit 3 Day 9 DP Polynomial Identities.notebook October 26, 2017 DO NOW Algebra 2 ... 9) 2) 4) 6) 8) 10) 8 10 Correct 0

Algebra 2 ­ Unit 3 ­ Day 9 ­ DP Polynomial Identities.notebook October 26, 2017

Aim: How Do We Factor a Sum or Difference of Perfect Cubes?HW: Factoring Expressions Involving Perfect Cubes WS

Page 20: Algebra 2 - Unit 3 - Day 9 - DP Polynomial … · Algebra 2 Unit 3 Day 9 DP Polynomial Identities.notebook October 26, 2017 DO NOW Algebra 2 ... 9) 2) 4) 6) 8) 10) 8 10 Correct 0

Algebra 2 ­ Unit 3 ­ Day 9 ­ DP Polynomial Identities.notebook October 26, 2017

Aim: How Do We Factor a Sum or Difference of Perfect Cubes?HW: Factoring Expressions Involving Perfect Cubes WS

Page 21: Algebra 2 - Unit 3 - Day 9 - DP Polynomial … · Algebra 2 Unit 3 Day 9 DP Polynomial Identities.notebook October 26, 2017 DO NOW Algebra 2 ... 9) 2) 4) 6) 8) 10) 8 10 Correct 0

Algebra 2 ­ Unit 3 ­ Day 9 ­ DP Polynomial Identities.notebook October 26, 2017

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