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Factor a Perfect Square Trinomial High School Algebra Aligned to Common Core State Standards

Factor a Perfect Square Trinomial High School Algebra Aligned to Common Core State Standards. Teacher Notes.

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Factor a Perfect Square Trinomial High School Algebra Aligned to Common Core State Standards

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  1. Factor a Perfect Square Trinomial High School Algebra Aligned to Common Core State Standards

  2. Teacher Notes Insight 360™ is eInstruction’s classroom instruction system that allows you to interact with your students as they learn, quickly gaining insight into student understanding during class so you can adjust instruction in real-time during a single class session. Use this content, designed specifically for use with Insight 360™, to interact with your class. This content includes brief instructional material and two types of activities: Constructed Response Activity for students to complete as an individual or a group assignment. Send each Constructed Response Activity to the Insight 360 iPad Student App. Assessment Item with CueTag™ for students to respond to via student response devices. Receive instant real-time feedback and longitudinal reports.

  3. Perfect Square Trinomials Perfect square trinomials are the result of squaring a binomial. (x + 9)2 = (x + 9)(x + 9) = x2 + 9x + 9x + 81 = x2 + 18x + 81 In general terms: (a + b)2 = a2+ ab+ ab+ b2= a2 + 2ab + b2 (a – b)2 = a2– ab– ab+ b2 = a2 – 2ab + b2 F O I L F = first, O = outside, I = inside, L = last

  4. Expand the following. • (5t – 3)2 = • (w + 6)2 = • (2s – 7)2 = • (11x + 8)2 =

  5. Expand the following. • (5t – 3)2 = 25t2 – 30t +9 • (w + 6)2 = w2 + 12w + 36 • (2s – 7)2 = 4s2 – 28s + 49 • (11x + 8)2 = 121x2 + 176x + 64

  6. Factoring a Perfect Square Trinomial • In general terms: • (a + b) 2= a2 + ab + ab + b2 = a2+ 2ab + b2 • (a – b) 2= a2 – ab – ab + b2 = a2– 2ab + b2 • In reverse, you would factor a perfect square trinomial like this: • a2 + 2ab + b2 = (a + b)2 • a2 – 2ab + b2 = (a – b)2

  7. Factoring Steps Factor 49x2+ 28 x + 4 Take the square root of the first term, the sign of the second term, and the square root of the third term. Square the quantity. (7x +2)2 Check the middle term by multiplying the first term and last term and doubling. [(7x)(2)]2 =28xThis matches the middle term and therefore is the correct factorization.

  8. Factor the following. m2 – 10m + 25 = 144p2 – 24p + 1 = 81n2 + 54n + 9 =

  9. Factor the following. m2 – 10m + 25 = (m – 5)2 144p2 – 24p + 1 = (12p – 1)2 81n2 + 54n + 9 = (9n + 3)2

  10. Solve using the Zero Product Property. Use the reasons given for each step to guide you. x2 = 3(2x – 3)

  11. Solve using the Zero Product Property. Use the reasons given for each step to guide you. x2 = 3(2x – 3)

  12. Find the zeros of the function. 4x2 12x + 9 = 0

  13. Solve and graph the solution. • 25x2 + 4 = 20x

  14. Solve and graph the solution. • 25x2 + 4 = 20x • 25x2 20x + 4 = 0 • (5x  2)2 = 0 • 5x  2 = 0 5x  2 = 0 • 5x = 2 5x = 2 • x = 2/5 x = 2/5

  15. For information about Insight 360™, visit http://www.einstruction.com. For additional content samples, click here.

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