Functional Algebra

These guided notes cover exponent properties and using them to simplify expressions. A table summarizes each property with the rule and examples. The three simplifying the expression examples utilize multiple properties at a time. The two Try It! problems guide students step-by-step with boxes to fill in for the exponents/coefficients. Answer key is included.

In this activity, students calculate, describe, and graph characteristics of six quadratic functions. Characteristics include zeros, y-intercept, vertex, axis of symmetry, and end behavior. Functions require either factoring or the quadratic formula to solve, resulting in some solutions with fractions and square roots. Leading coefficients are both positive and negative. A scaffolded version is included, with fill-in-the-blank steps for calculating and describing the characteristics for the fir

This resource is a guided exploration activity for the substitution method for solving systems of two linear equations. Framed as four mystery cases, students must use the two clues provided to solve each case- finding x and y! The cases build up in complexity starting with a system where one variable is already solved for to a system where a variable must first be isolated before substituting. In my own classroom, I let students try each case for a couple of minutes with a partner. Using what t

These guided notes cover combining functions (linear and quadratic) using various operations (addition, subtraction, distribution, composition). Prior knowledge of key concepts and definitions, such as evaluating functions and function notation, are reviewed to start.