Teacher Resources for Instructional Planning


Precalculus Std 4: Analyze the graphs of rational, logarithmic, exponential, trigonometric, and piecewise-defined functions by determining the domain and range; identifying any vertical, horizontal, or oblique asymptotes; and classifying the function as increasing or decreasing, continuous or discontinuous, and noting the type of discontinuity if one exists. Approximating rates of change using the difference quotient

Lesson Plans Stressed Out This lesson is an introduction to the derivative as a rate of change. It is set in an observation of the effect of stress on performance. 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. Compositions 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. Modeling Orbital Debris Problems In this lesson, students examine the problem of space pollution caused by human-made debris in orbit to develop an understanding of functions and modeling. It allows the students an opportunity to use spreadsheets, graphing calculators, and computer graphing utilities.

Resources: The Function Institute This interactive applet lest students change the parameters on several classes of functions from polynomial to exponential and trigonometric. Rational Functions Examine the parameter changes in rational functions. Asymptotes are marked in some applets. All are interactive. Common Graphs This site is an explanation of common relations with examples, animations, and java applets. Rational Functions This is the notes from a basic college course that explains rational functions with domain and range. Includes examples. Inverse Functions A site about 1/x and other interesting rational functions. Common Graphs This site is an explanation of common relations with examples, animations, and java applets. Recognize Functions An applet that quizzes students on the common relations
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