Algebra 1 11 May 2011 Warm up: Evaluate f(x) = -x 2 + 4x - 3 1) Find f(-2),f(-1), f(0), f(1), f(2), f(3), f(4) 2) Sketch the graph 3) Identify the roots and the vertex 4) for what x values is f(x) = -3? 5) graph on the calculator PROJECT DUE May 11 (accepted through May 14) HW due TUESDAY: pg. 257: 1 (C, D, F, G, H), 2, 12

objectives Students will multiply binonials and factor trinomials. Students will take notes, participate in class discussion, work with their group to solve problems and take a quiz.

quadratic equations STANDARD FORM: y = f(x) = ax 2 + bx + c OR GENERAL FORM VERTEX FORM: y = f(x) = a(x – h) 2 + k Factored form: y = f(x) = (x – n)(x – m)

from factored form to general form y = (x – n)(x – m)  y = ax 2 + bx + c HOW? Multiply the binomials and combine like terms!! like terms- same variable(s) to the same power(s)

use an area model x + 2 x + 3 x(x) = x 2 Rewrite y = (x + 2)(x + 3) in standard form 2x 3x 3(2) = 6 y =(x + 2)(x + 3) = x 2 + 2x + 3x + 6 y = x 2 + 5x + 6

Or use FOIL or “double rainbow” then combine like terms (X + 2)(X + 3) = X 2 + 3X + 2X + 6 = X 2 + 5X + 6 F O I L Multiply in this order: F- First terms O- Outer terms I- Inner terms L- Last terms

Factoring– change from general form to factored form Middle b=m+n Sum Product ac=mn m n First and Last Coefficients y = ax 2 + bx + c general or standard form Last term 1st Term Factor n Factor m CHECK by using FOIL– did you get your original equation?

Work on your handout Remember– factored form to general form? Use FOIL or an area model to expand Remember– general form to factored form? Use x-box and area model to help you find the two numbers that MULTIPLY to ac and also ADD to b.

QUIZ Do your best! Please work silently. Be respectful to your classmates. When finished, you may work on Reading Graphs handout.