Linear and Nonlinear Functions

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Objective

SWBAT write formulas to fit linear and nonlinear data tables using knowledge of linear and nonlinear patterns.

Big Idea

What is going on in this table? In this highly-differentiated lesson, some students focus deeply on linear functions while others start to look at more complicated nonlinear functions.

Lesson Author

Hilary Yamtich

Oakland, CA

Grade Level

Eleventh grade

Twelfth grade

Subjects

Math

modeling

Algebra

Linear and Nonlinear Equations

Standards

HSA-CED.A.2

Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales.

HSF-IF.B.4

For a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities, and sketch graphs showing key features given a verbal description of the relationship. Key features include: intercepts; intervals where the function is increasing, decreasing, positive, or negative; relative maximums and minimums; symmetries; end behavior; and periodicity.*

MP2

Reason abstractly and quantitatively.

MP3

Construct viable arguments and critique the reasoning of others.

MP4

Model with mathematics.

MP7

Look for and make use of structure.