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Wednesday, 20181128

This is a lesson agenda and instructional guide for teaching students about simplifying and factoring polynomials. It includes essential questions, a word wall, bellwork activities, and an exit ticket. The lesson covers topics such as greatest common factor (GCF), polynomial, monomial, binomial, and trinomial terms.

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Wednesday, 20181128

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  1. Wednesday, 20181128 Essential Questions • EQ11: How are polynomials simplified and factored? Word Wall Greatest Common Factor (GCF) Polynomial Monomial Binomial Trinomial Terms Agenda Bridge Math • Store your phones • Find your seat • Bellwork: N2K • Calculator • EQ11 Factoring Polynomials • Exit Ticket • Remain in seat until bell rings. Teacher Dismisses NOT the bell. It’s always a great day to be a Wolverine!

  2. N2K Bellwork: Wednesday, 20181128 1st Question: 4 corners Critical Thinking activity The N2K is in labeled folders around the room. Please find your A, B, C, or D to answer the questions. ***See the yellow sticky note on your desk to find your assigned folder question. 2nd Question: Ask students to select multiple correct answers from many options Find the sum or difference. Choose all answers that apply. (5a – 3b) + (2a + 6b) a. 7a+3b b. Seven times a plus 3 times b c. a with coefficient of 7 plus b with a coefficient of 3 d. no answer

  3. N2K Bellwork: Wednesday, 20181128 Question 1 Factoring a trinomial with the leading coefficient of 1: 1. Write two sets of parenthesis, ( )( ). These will be the factors of the trinomial. 2. Product of first terms of both binomial must equal first term of the trinomial. 3. The product of last terms of both binomials must equal last term of the trinomial (c). 4. Think of the FOIL method of multiplying binomials, the sum of the outer and the inner products must equal the middle term (bx). MATCH THE FACTORS WITH THEIR QUADRATICS. 1.(x-2)(x-4) A. x2 - 2x - 8 2.(x+6)(x-8) B. x2 - 2x + 48 3.(x+2)(x-4) C. x2 - 6x + 8

  4. X-box Factoring standard quadratics (ax2+bx+c)

  5. X- Box x2-6x-27 Product -27 3 -9 Sum -6 Factors (x-9) (x+3) Solution: x2-6x-27=

  6. Sign Rules for factoring quadratics

  7. X-box Factoring standard quadratics (ax2+bx+c) with leading coefficient greater than 1

  8. Factor the x-box way Example: Factor 3x2 -13x -10 (3)(-10)= -30 x -5 3x 3x2 -15x 2 -15 -13 -10 2x +2 3x2 -13x -10 = (x-5)(3x+2)

  9. Factor the x-box way y = ax2 + bx + c GCF GCF Product ac=mn First and Last Coefficients 1st Term Factor n GCF n m Middle Last term Factor m b=m+n Sum GCF

  10. Examples continued 3. 2x2 - 5x - 7 a) b) 2x -7 -72 -14 -5 x 2x2-7x 2x -7 +1 Solution: 2x2 - 5x – 7 = (2x - 7)(x + 1)

  11. Examples continued Find the GCF in the box vertical and horizontal a) b) 3x +2 -30 7 5x 15x210x -3x -2 10-3 -1 Solution: 15x2 + 7x – 2 = (3x + 2)(5x - 1)

  12. a) b) Find the GCF in the box vertical and horizontal Solution:

  13. Find the GCF in the box vertical and horizontal a) b) Solution:

  14. Find the GCF in the box vertical and horizontal a) b) Solution:

  15. Find the GCF in the box vertical and horizontal a) b) Solution:

  16. Find the GCF in the box vertical and horizontal a) b) Solution:

  17. EXIT TICKET Find the GCF in the box vertical and horizontal a) b) Solution:

  18. EXIT TICKET • Why is it important to have polynomials in standard form before factoring? (Standard form makes the FOIL pattern possible. It is difficult to see patterns when a trinomial is not in standard form.)

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