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Factoring polynomials is the subject of this algebra lesson
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.
- 4.0 Students factor polynomials representing the difference of squares, perfect square trinomials, and the sum and difference of two cubes.
- Erasers (brought by students)
- Paper (brought by students)
- Pencils (brought by students)
- Worksheets (provided by teacher)
- Textbook (provided by school)
- For students to learn how to factor successfully difference of two squares, perfect square trinomials, and difference of two cubes.
- 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.
- 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.
- 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.
- Worksheet that is attached.
- 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.
- 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.
- Math textbook for completing homework assignment.
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
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