1 / 15

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.

kylynn-duran
Download Presentation

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

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  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.

More Related