Students will need to have prior experience graphing equations in y=mx+b form. They will be exploring the differences between equations and graphs of linear and non-linear functions with and without the use of technology (graphing calculators).
Included in this explorations is a reinforcement of the meaning of slope (m) as a constant rate of change, and the y-intercept (b).
Students will graph 3 linear equations and find that parallel lines have the same slope but different y-intercepets.
Using a graphing calculator, students will graph 4 non-linear equations and develop reflections that they can use to identify linear-vs-non-linear based on given equations.
This lesson supports Common Core State Standards (CCSS): 8F.3 and High School Standards: HSF.LE.A1 and HSF.1.FC7
(2) First page is the key--second page is the student worksheet