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Precalculus
Std 5: Analyze the effects of parameter changes on the graphs of trigonometric, logarithmic, and exponential functions.

Example: explaining the relationship of the graph of y = ex -2 to the graph of
y = ex

  • Determining the amplitude, period, phase shift, domain, and range of trigonometric functions and their inverses    

Lesson Plans

Mathematical Investigation with Excel
This lesson uses an excel spreadsheet to model a basketball's flight. It allows you to change the angle and initial velocity of the toss and the graph changes accordingly.

Chicago Public Schools
This is a collection of structured daily lesson plans that go from transformations to compositions of functions.

Transformations of Functions
This is an interactive online lesson about general transformations of functions.

Getting Out of Line (Function Patterns)
In this lesson, students study nonlinear models for data in tables and in graphs. Students explore parameter changes in linear and non-linear functions.

Toothpicks and Transformations (Quadratic Functions)
Students will investigate quadratic functions using geometric toothpick designs.

Chicago Public Schools
This is a collection of structured daily lesson plans that covers rational functions.

Basic Properties of Rational Expressions
This is a complete list of skills related to rational expressions, including examples and their solutions.

Multiplying and Dividing Rational Functions
This is an online tutorial with learning objectives detailing rational expressions.

Interactive Composition of Functions
This is an interactive online lesson on the composition of functions where students can manipulate the input and output.

Domain and Range
This is an interactive online lesson on domain and range of functions.

Chicago Public Schools
This is a collection of structured daily lesson plans that go from transformations to compositions of functions.

The Absolute Truth
Students will communicate their understanding of the methods available to find and check solutions to absolute value inequalities.

Chicago Public Schools
This is a structured lesson plan that provides strategies for teaching, examples, worksheets, and assessments. Instruction on the TI-82/83 is provided, but the use of calculators is not essential. (Day 70-71)

An Introduction to Functions by Calculating, Observing Growth Rates, and Interpreting the Graphs
Students will determine the type of growth of a function to determine the best salary. Many of the common relations are represented.

 

 

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