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Algebra 2 Unit 3 Day 10 DP Factoring Perfect Cubes.notebook October 27, 2017 DO NOW Use the polynomial identities we learned about in our last class to factor each expression. 1) 2) Algebra 2 10/27/17 Aim : How Do We Factor a Sum or Difference of Perfect Cubes?

Algebra 2 - Unit 3 - Day 10 - DP Factoring Perfect Cubes ... · PDF fileAlgebra 2 ­ Unit 3 ­ Day 10 ­ DP Factoring Perfect Cubes.notebook October 27, 2017 Use the polynomial identities

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Page 1: Algebra 2 - Unit 3 - Day 10 - DP Factoring Perfect Cubes ... · PDF fileAlgebra 2 ­ Unit 3 ­ Day 10 ­ DP Factoring Perfect Cubes.notebook October 27, 2017 Use the polynomial identities

Algebra 2 ­ Unit 3 ­ Day 10 ­ DP Factoring Perfect Cubes.notebook October 27, 2017

DO NOWUse the polynomial identities we learned about in our last class to factor each expression.1)

2)

Algebra 2                                                   10/27/17Aim: How Do We Factor a Sum or Difference of Perfect Cubes?

Page 2: Algebra 2 - Unit 3 - Day 10 - DP Factoring Perfect Cubes ... · PDF fileAlgebra 2 ­ Unit 3 ­ Day 10 ­ DP Factoring Perfect Cubes.notebook October 27, 2017 Use the polynomial identities

Algebra 2 ­ Unit 3 ­ Day 10 ­ DP Factoring Perfect Cubes.notebook October 27, 2017

Use the polynomial identities we learned about in our last class to factor each expression.

1)

2)

Aim: How Do We Factor a Sum or Difference of Perfect Cubes?

Page 3: Algebra 2 - Unit 3 - Day 10 - DP Factoring Perfect Cubes ... · PDF fileAlgebra 2 ­ Unit 3 ­ Day 10 ­ DP Factoring Perfect Cubes.notebook October 27, 2017 Use the polynomial identities

Algebra 2 ­ Unit 3 ­ Day 10 ­ DP Factoring Perfect Cubes.notebook October 27, 2017

Let's Take a Closer Look at the Problems 7 & 8 from the Previous Homework/Classwork...

What was different? What was the same about the factored expressions?

Can we think of a way to remember how to factor these cubics?

Aim: How Do We Factor a Sum or Difference of Perfect Cubes?

Page 4: Algebra 2 - Unit 3 - Day 10 - DP Factoring Perfect Cubes ... · PDF fileAlgebra 2 ­ Unit 3 ­ Day 10 ­ DP Factoring Perfect Cubes.notebook October 27, 2017 Use the polynomial identities

Algebra 2 ­ Unit 3 ­ Day 10 ­ DP Factoring Perfect Cubes.notebook October 27, 2017

The first binomial term in the factored form in each pattern keeps the same sign as the sign between the perfect cubes. The sign separating the first and second terms of the trinomial is opposite the sign between the perfect cubes, and the last sign in the trinomial is always positive. 

Aim: How Do We Factor a Sum or Difference of Perfect Cubes?

Page 5: Algebra 2 - Unit 3 - Day 10 - DP Factoring Perfect Cubes ... · PDF fileAlgebra 2 ­ Unit 3 ­ Day 10 ­ DP Factoring Perfect Cubes.notebook October 27, 2017 Use the polynomial identities

Algebra 2 ­ Unit 3 ­ Day 10 ­ DP Factoring Perfect Cubes.notebook October 27, 2017

Factoring Expressions Involving Perfect Cubes

Ex. 1

Ex. 2

Aim: How Do We Factor a Sum or Difference of Perfect Cubes?

Page 6: Algebra 2 - Unit 3 - Day 10 - DP Factoring Perfect Cubes ... · PDF fileAlgebra 2 ­ Unit 3 ­ Day 10 ­ DP Factoring Perfect Cubes.notebook October 27, 2017 Use the polynomial identities

Algebra 2 ­ Unit 3 ­ Day 10 ­ DP Factoring Perfect Cubes.notebook October 27, 2017

Ex. 3

As a Class

With Your Partner

Aim: How Do We Factor a Sum or Difference of Perfect Cubes?

Page 7: Algebra 2 - Unit 3 - Day 10 - DP Factoring Perfect Cubes ... · PDF fileAlgebra 2 ­ Unit 3 ­ Day 10 ­ DP Factoring Perfect Cubes.notebook October 27, 2017 Use the polynomial identities

Algebra 2 ­ Unit 3 ­ Day 10 ­ DP Factoring Perfect Cubes.notebook October 27, 2017

Ex. 3

I Got it Right and I 

Understand!

I Did Not Get It Right And I 

Do Not Understand

I Didn't Get It Right, But I 

Understand My Error

Aim: How Do We Factor a Sum or Difference of Perfect Cubes?

Page 8: Algebra 2 - Unit 3 - Day 10 - DP Factoring Perfect Cubes ... · PDF fileAlgebra 2 ­ Unit 3 ­ Day 10 ­ DP Factoring Perfect Cubes.notebook October 27, 2017 Use the polynomial identities

Algebra 2 ­ Unit 3 ­ Day 10 ­ DP Factoring Perfect Cubes.notebook October 27, 2017

How can we remember how to factor the sum or difference of perfect cubes? Can the resulting 

trinomial ever be factored? 

Aim: How Do We Factor a Sum or Difference of Perfect Cubes?

Page 9: Algebra 2 - Unit 3 - Day 10 - DP Factoring Perfect Cubes ... · PDF fileAlgebra 2 ­ Unit 3 ­ Day 10 ­ DP Factoring Perfect Cubes.notebook October 27, 2017 Use the polynomial identities

Algebra 2 ­ Unit 3 ­ Day 10 ­ DP Factoring Perfect Cubes.notebook October 27, 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 

Factoring Expressions Involving Perfect Cubes

Aim: How Do We Factor a Sum or Difference of Perfect Cubes?

Page 10: Algebra 2 - Unit 3 - Day 10 - DP Factoring Perfect Cubes ... · PDF fileAlgebra 2 ­ Unit 3 ­ Day 10 ­ DP Factoring Perfect Cubes.notebook October 27, 2017 Use the polynomial identities

Algebra 2 ­ Unit 3 ­ Day 10 ­ DP Factoring Perfect Cubes.notebook October 27, 2017

Aim: How Do We Factor a Sum or Difference of Perfect Cubes?

5 ­ 7Correct

0 ­ 2Correct

3 ­ 4Correct

1)

3)

5)

7)

2)

4)

6)

Page 11: Algebra 2 - Unit 3 - Day 10 - DP Factoring Perfect Cubes ... · PDF fileAlgebra 2 ­ Unit 3 ­ Day 10 ­ DP Factoring Perfect Cubes.notebook October 27, 2017 Use the polynomial identities

Algebra 2 ­ Unit 3 ­ Day 10 ­ DP Factoring Perfect Cubes.notebook October 27, 2017

Aim: How Do We Factor a Sum or Difference of Perfect Cubes?

Page 12: Algebra 2 - Unit 3 - Day 10 - DP Factoring Perfect Cubes ... · PDF fileAlgebra 2 ­ Unit 3 ­ Day 10 ­ DP Factoring Perfect Cubes.notebook October 27, 2017 Use the polynomial identities

Algebra 2 ­ Unit 3 ­ Day 10 ­ DP Factoring Perfect Cubes.notebook October 27, 2017

Aim: How Do We Factor a Sum or Difference of Perfect Cubes?

Page 13: Algebra 2 - Unit 3 - Day 10 - DP Factoring Perfect Cubes ... · PDF fileAlgebra 2 ­ Unit 3 ­ Day 10 ­ DP Factoring Perfect Cubes.notebook October 27, 2017 Use the polynomial identities

Algebra 2 ­ Unit 3 ­ Day 10 ­ DP Factoring Perfect Cubes.notebook October 27, 2017

Aim: How Do We Factor a Sum or Difference of Perfect Cubes?

Page 14: Algebra 2 - Unit 3 - Day 10 - DP Factoring Perfect Cubes ... · PDF fileAlgebra 2 ­ Unit 3 ­ Day 10 ­ DP Factoring Perfect Cubes.notebook October 27, 2017 Use the polynomial identities

Algebra 2 ­ Unit 3 ­ Day 10 ­ DP Factoring Perfect Cubes.notebook October 27, 2017

Aim: How Do We Factor a Sum or Difference of Perfect Cubes?

Page 15: Algebra 2 - Unit 3 - Day 10 - DP Factoring Perfect Cubes ... · PDF fileAlgebra 2 ­ Unit 3 ­ Day 10 ­ DP Factoring Perfect Cubes.notebook October 27, 2017 Use the polynomial identities

Algebra 2 ­ Unit 3 ­ Day 10 ­ DP Factoring Perfect Cubes.notebook October 27, 2017

Exit Slip Factor Completely

Aim: How Do We Factor a Sum or Difference of Perfect Cubes?

Page 16: Algebra 2 - Unit 3 - Day 10 - DP Factoring Perfect Cubes ... · PDF fileAlgebra 2 ­ Unit 3 ­ Day 10 ­ DP Factoring Perfect Cubes.notebook October 27, 2017 Use the polynomial identities

Algebra 2 ­ Unit 3 ­ Day 10 ­ DP Factoring Perfect Cubes.notebook October 27, 2017

mathsims.wordpress.comLesson Slides, Resources and More!

Get a head start on your Homework 

Page 17: Algebra 2 - Unit 3 - Day 10 - DP Factoring Perfect Cubes ... · PDF fileAlgebra 2 ­ Unit 3 ­ Day 10 ­ DP Factoring Perfect Cubes.notebook October 27, 2017 Use the polynomial identities

Algebra 2 ­ Unit 3 ­ Day 10 ­ DP Factoring Perfect Cubes.notebook October 27, 2017

Exit Slip Factor Completely

Aim: How Do We Factor a Sum or Difference of Perfect Cubes?