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In most career fields, it is necessary to collect and analyze data.  Researchers collect data to look for trends and make predictions about the future.  In order to accurately predict or estimate values, you need to have an appropriate function to model the data.  In your previous studies of algebra, you have analyzed linear, quadratic and simple exponential models for data sets to determine which was the best fit.  Now it is time to expand beyond these models to other function families.

In this module, you will:

  • Explore key behaviors of other function families, including logarithmic, power, cubic and trigonometric functions.
  • Engage in activities that allow you to collect and analyze data, determine a model of best fit, and evaluate the reasonableness of the model selected.

To find other Algebra II modules, go to Common Core Algebra II Statistics and Probability.


Exploring Other Function Models

In this lesson, you will build on your understanding of modeling with linear, quadratic and exponential functions to begin to include other function families.

> Go to Lesson: Exploring Other Function Models

Modeling With Trigonometric Functions

In this lesson, you will extend your understanding of regression to trigonometric functions. You will be introduced to periodic data and be asked to describe the behavior and find a model of best fit.

> Go to Lesson: Modeling With Trigonometric Functions

A Deeper Look at Exponential Functions

In this lesson, you will expand your understanding of exponential functions to cases that require vertical translations of a regression equation.  You will evaluate exponential models to determine if all values make sense in the context of the scenario, thus distinguishing between discrete and continuous exponential models.

> Go to Lesson: A Deeper Look at Exponential Functions

Which Model Models Best?

In this lesson, you will analyze contextual situations and determine which type of function should serve as the best model for a data set.  You will consider which function family may best model the data given the contextual situation.  You will apply your understanding of function families and residuals to justify the model selected.

> Go to Lesson: Which Model Models Best?