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 Printable Version for your convenience!
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: x2-9
2. Factor: a2-36
3. Factor: 9y2-81
4. Factor: 16y6-25x2
5. Factor: a2- (1/9)
6. Factor: 5-5x2y6
7. Factor: 16yx4-81y
8. Factor: x2-10x+25.
9. Factor: 16y2+56y+49
10. Factor: 2x2-12xy+18y2
11. Factor: -4y2-144y8+48y5
12. Factor: x3-27
13. Factor: 125x3+y3
14. Factor: 128y7-250yx6
15. Factor: z3+27
16. Factor: 64y3+1
17. Factor: 5x3-40z3
18. Factor: 2y4-128y
E-Mail Cristina Bravo!
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