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Patterns, Functions, and Algebra
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Session 6 Materials:

Session 8: More Nonlinear Functions

In Session 7, we explored exponential and quadratic functions in tables, graphs, and real-life situations. We learned that exponential functions have constant ratios between successive outputs and that quadratic functions have constant second differences. This session continues the exploration of nonlinear functions, focusing on cyclic and inverse functions. Note 1

In This Session:

Part A:

Cyclic Functions

Part B:

Inverse Proportions

Part C:

Different Functions



Learning Objectives

This session introduces cyclic functions and inverse proportions. Through the activities in this session, we will:


Become familiar with inverse proportions and cyclic functions


Develop an understanding of cyclic functions as repeating outputs


Work with graphs of inverse proportions and cyclic functions


Explore contexts where inverse proportions and cyclic functions arise


Explore situations in which more than one function may fit a particular set of data

video icon

Throughout the session you will be prompted to view short video segments. In addition to these excerpts, you may choose to watch the full-length video of this session.


Previously Introduced:

New in This Session:


direct variation
linear relationship
exponential function
quadratic function

cyclic function
inverse proportion
inverse variation
modular arithmetic

Next > Part A: Cyclic Functions

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