# view a plan

# Factoring polynomials is the subject of this algebra lesson

Subject:

Math

Grades:

9, 10, 11, 12

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 !