With an emphasis on using real-world problems, apply the mathematical uses of inputs/domain and outputs/range to determine if their relation is a function, and if the function is linear or nonlinear.
Understand that a function assigns only one output for each input
At the end of this lesson, students will be able to use the Vertical Line Test, determine if the information presented in Word, Table, Graph, Equations examples are a relation or a function, and if a function, whether linear or nonlinear.
Student Target
“I can determine, through vertical line tests and through evaluating a set of ordered pairs, if ordered pairs represent a function (linear or non-linear) or a relation.”
CCR Focus Standards
Algebra and Functions - Level D
Understand that a function is a rule that assigns to each input exactly one output. The graph of a function is the set of ordered pairs consisting of an input and the corresponding output. [Also see F.IF.1]
Supporting Standards
Standards for Mathematical Practice
Make sense of problems and persevere in solving them. (MP.1)
Use appropriate tools strategically. (MP.5)
Look for and express regularity in repeated reasoning. (MP.8)
KYAE Employability Standards
E.1 Effectively contribute to a team through cooperation, leadership, and giving and accepting critical feedback to work toward a common goal.
E.7 Accurately analyze information and respond appropriately.