Title – Factoring Polynomials

By – Cristina Bravo

Primary Subject – Math

Secondary Subjects -

Grade Level – 9-12

Time – 2 hours

Overview of Lesson:

This lesson is intended for algebra students at the middle school or high school level. The lesson will be a direct teaching lesson. With the teacher lecturing and the students taking notes and then having the students break up into groups to solve sample problems.

Content Standard(s):

4.0 Students factor polynomials representing the difference of squares, perfect square trinomials, and the sum and difference of two cubes.

Materials:

• Erasers (brought by students)
• Paper (brought by students)
• Pencils (brought by students)
• Worksheets (provided by teacher)
• Textbook (provided by school)

Goals:

For students to learn how to factor successfully difference of two squares, perfect square trinomials, and difference of two cubes.

Lesson Objectives:

• Students identify and factor binomials that are the differences of squares when given examples.
• Students identify and factor perfect square trinomials when given examples.
• Students identify and factor difference of two cubes when given examples.

Skills Provided:

• Students have a strong background in prime factorizations of integers.
• Students have a strong background in finding greatest common factors (GCF) for sets of monomials.
• Students have a strong background in finding GCF and the distributive property to factor polynomials.
  
• Students have a strong background in grouping to factor polynomials with 4+ terms.

Suggested Procedures:

• Students come in and take mini quiz on finding GCF and prime factorization. (10 minutes)
  
• Go over material from previous day and go over key vocabulary for the pertaining to the new lesson. (20 minutes)
  
• Students begin to take notes on new material (35 minutes).
• Clarify any questions (10 minutes).
• Students have 30 minutes to work in groups and finish worksheets.

Opening of the Lesson:

After students have taken mini quiz. Teacher will go over previous material learned and new vocabulary with the students.

Specific Activities:

Worksheet that is attached.

Closing:

Last 15 minutes students write in their math journal about how the old concepts learned in the class has helped them with the new material.

Assessment:

• Collect their assignments and review their work to check for assessment.
• Collect student’s journals to see what they have written about the connection between old material and new material.
• Give students a mini quiz on the material the next day.

Extension of the Lesson:

Assigning homework to the students covering the new material.

Resources Necessary:

• Math textbook for completing homework assignment.

Factoring Worksheet

1. Factor: x

²

-9

2. Factor: a

²

-36

3. Factor: 9y

²

-81

4. Factor: 16y

⁶

-25x

²

5. Factor: a

²

– (1/9)

6. Factor: 5-5x

²

y

⁶

7. Factor: 16yx

⁴

-81y

8. Factor: x

²

-10x+25.

9. Factor: 16y

²

+56y+49

10. Factor: 2x

²

-12xy+18y

²

11. Factor: -4y

²

-144y

⁸

+48y

⁵

12. Factor: x

³

-27

13. Factor: 125x

³

+y

³

14. Factor: 128y

⁷

-250yx

⁶

15. Factor: z

³

+27

16. Factor: 64y

³

+1

17. Factor: 5x

³

-40z

³

18. Factor: 2y

⁴

-128y

E-Mail

Cristina Bravo

!