Day 25 - Factoring Difference of Squares - 09.22.14

Bell Ringer
  • Polynomials and Factoring Test on Friday!
  1. Simplify. (2x3y)4((-2y)2)3

    1. 512x12y10

    2. 64x10y8

    3. 1024x12y12

    4. 1024x12y10

    5. none of the above

  2. Factor the following polynomial: n2 - 81

    1. (n + 9)(n - 9)

    2. (n + 9)2

    3. (n - 9)(n - 9)

    4. prime polynomial; cannot be factored

    5. none of the above

  3. Solve the following equation by factoring: n2 - 81 = 0

    1. n = -9, 9

    2. n = 0, -9

    3. n = 0, 9

    4. all of the above

    5. none of the above

  4. Factor the following polynomial: a2 - 9a - 52

    1. (a - 13)(a - 4)

    2. (a + 13)(a + 4)

    3. (a + 13)(a - 4)

    4. (a + 13)(a + 3)

    5. none of the above

  5. Solve the following equation by factoring: a2 - 9a - 52 = 0

    1. a = 13, -4

    2. a = -13, -4

    3. a = 13, 4

    4. a = -13, 4

    5. none of the above 

Review
  • Monomials
  • Polynomials
  • Adding/Subtracting Polynomials
  • Multiplying Polynomials by Monomials
  • Multiplying Polynomials by Polynomials
  • Special Products
  • Intro to Factoring
  • Factoring x2 + bx + c

Lesson
  • Checkpoint Sheets Protocol
  • Factoring ax2 + bx + c
    • Concepts
      • Factoring when a, b, and c have a Common Factor
      • Prime Polynomials
      • Solving Equations by Factoring
    • Section 9-4
      • Practice #5-9 (odds)
      • Checkpoint 1 - #4, 6, 8
      • Practice #15-31 (odds)
      • Checkpoint 2 - #26, 28, 30
      • Practice #35-47 (odds)
      • Checkpoint 3 - #36, 42, 44, 46, 48
  • Factoring Differences of Squares
    • Concepts
      • a2 - b2 = (a + b)(a - b)
      • Factoring Out a Common Factor
      • Grouping Term with Common Factors
    • Section 9-5
      • Practice #5-9 (odds)
      • Checkpoint 1 - #8, 10
      • Practice #11, 13
      • Checkpoint 2 - #12, 14
      • Practice #17-33 (odds)
      • Checkpoint 3 - #18, 30, 32
      • Practice #35-45
      • Checkpoint 4 - #38, 42, 44
  • Perfect Squares and Factoring
    • Concepts
      • Perfect Square Trinomials
      • Square Root Property
    • Section 9-6
      • Practice #7-11
      • Checkpoint 1 - #8, 10
      • Practice #13, 15
      • Checkpoint 2 - #12, 14
      • Practice #23
      • Checkpoint 3 - #24
      • Practice #25-39
      • Checkpoint 4 - #36, 38, 40
      • Practice #43-53
      • Checkpoint 5 - #48, 50, 52

Exit Ticket
  • Posted on the board at the end of the block
Lesson Objective(s)
  • How can expressions of the form ax^2 + bx + c be factored?

Standard(s)


Mathematical Practice(s)
  • #1 - Make sense of problems and persevere in solving them
  • #2 - Reason abstractly and quantitatively
  • #3 - Construct viable arguments and critique the reasoning of others
  • #6 - Attend to precision
  • #7 - Look for and make use of structure