Suitable for Grades: Algebra I, IM 1
CCSS: HSA.APR.A.1, HSA.SSE.B.3
CCSS Description: Understand that polynomials form a system analogous to the integers, namely, they are closed under the operations of addition, subtraction, and multiplication; add, subtract, and multiply polynomials.
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%
The worksheet is designed to help learners recognize like terms that can be combined. It could be used as a class discussion or as a review task. There is also an extension task which asks learners to write some like terms for expressions without a pair.