Suitable for Grades: Algebra I, IM 1
CCSS: HSA.SSE.B.3
CCSS Description: Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression.★ a. Factor a quadratic expression to reveal the zeros of the function it defines. b. Complete the square in a quadratic expression to reveal the maximum or minimum value of the function it defines. c. Use the properties of exponents to transform expressions for exponential functions. For example the expression 1.15t can be rewritten as (1.151/12)12t ≈ 1.01212t to reveal the approximate equivalent monthly interest rate if the annual rate is 15%
This Factoring Trinomials worksheet introduces students to expressions that are in the form of ax² + bx + c, where a, b, and c are constants.
In section A, students will start off factoring expressions where the coefficient of x squared is 1. Then, in section B, all the coefficients of x squared are 2 and all terms are positive. This allows students to consider the mechanics of their factorizations.
Section C progresses to include coefficients of x squared of 3 and 5. These numbers are intentionally all prime. Finally, in section D, the coefficients of x squared are all composite numbers.