Distinguishing linear, quadratic, and exponential models

Teacher tools for this standard

Lesson Plan · Guided Notes · Exit Ticket · Re-teach · Homework

Lesson Plan →Objectives, pacing and practice, built from this lesson's brief.
Guided Notes →One page your students fill in and keep.
Exit Ticket →Three items at the end of class. No student accounts.
Re-teach →After an exit ticket: who missed what, and what to do tomorrow.
Homework →Assign practice; it grades itself.

"Identify or create an appropriate quadratic or exponential function to model a relationship between quantities." "Create and use quadratic or exponential functions to solve problems in a variety of contexts."

"Identify or create an appropriate quadratic or exponential function to model a relationship between quantities."
"Create and use quadratic or exponential functions to solve problems in a variety of contexts."

What you'll learn

Classify a relationship given as a table, a graph, or a verbal description as linear, quadratic, or exponential, and write the model of that family from the given values
Classify a table by which of its first differences, ratios, or second differences is constant, and explain why a constant second difference indicates a quadratic
Classify a graph by its distinguishing feature: curvature, a turning point, or a horizontal asymptote
Classify a verbal description by whether the change per period is a fixed amount or a fixed percent or multiple
Explain why exponential growth eventually exceeds any linear growth

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