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%
Factoring: Difference of Two Squares focuses on the concept of factoring algebraic expressions that are in the form of a² - b², and is an important tool for helping students develop their algebraic manipulation skills.
The problems range from simple expressions to those where a common factor must be taken out first, and even expressions where the terms inside the parentheses have a coefficient different to 1 or -1. There are sixteen questions over two sections, and an extension too.
If more practice is required, see our worksheet Factoring Quadratic Expressions.