eBook
Education Place

Houghton Mifflin: Eduplace: Functions and Graphing

For Students 6th - 7th
An overview of functions and graphing on a coordinate plane.
Activity
University of Vienna (Austria)

Math Online: Functions

For Students 9th - 10th Standards
This interactive site uses applets to show sample graphs of each simple power function, a function plotter, graph puzzles, and more. Great site.
Handout
Richland Community College

Richland Community College: Exponential Functions and Their Graphs

For Students 9th - 10th Standards
The site explains exponential functions and characteristics of their graphs.
Lesson Plan
Better Lesson

Better Lesson: Algebra Ii: The Trigonometric Functions

For Teachers 10th - 12th Standards
A lesson plan where students will interpret the trigonometric functions in terms of the unit circle, graph a sinusoidal function, and use a sinusoidal function to make interpretations in a modeling context.
Activity
California State University

Ca State University, San Bernadino: Graphing Techniques

For Students 9th - 10th
A survey of math graphing techniques includes horizontal and vertical shifts, stretching, lines of symmetry, even and odd functions, and absolute value functions.
Handout
Paul Dawkins

Paul's Online Notes: Algebra: Logarithm Functions

For Students 9th - 10th Standards
Detailed math tutorial introduces logarithm functions giving the basic properties and graphs. Also, discusses how to evaluate some basic logarithms including the use of the change of base formula, the common logarithm, log(x), and the...
Lesson Plan
Shodor Education Foundation

Shodor Interactivate: Lesson: Introduction to Functions

For Teachers 6th - 8th Standards
Input numbers into the function machine and explore independent and dependent variables.
Handout
Oswego City School District

Regents Exam Prep Center: Algebra 2: Definition of Inverse Function

For Students 9th - 10th Standards
An introductory look at the definition of an inverse function, the notation used for inverse functions, and tests used to determine whether a function will have an inverse. Several examples are provided for the student to scroll through...
Handout
Purple Math

Purplemath: Graphing General Polynomials, Radicals, Rationals, and Piecewise Fun

For Students 9th - 10th Standards
This resource provides an overview of graphing, giving examples of general polynomial, radical, rational, and piecewise functions. Also includes advice on common mistakes made by students.
Lesson Plan
Shodor Education Foundation

Shodor Interactivate: Lesson: Graphs and Functions

For Teachers 7th - 9th Standards
This lesson plan is directed at introducing students to how to graph functions on the Cartesian coordinate plane. They will experience several categories of functions including lines and parabolas. Resources and interactive tools are...
Unit Plan
Texas Education Agency

Texas Gateway: Determining Reasonable Domains and Ranges (Verbal/graph)

For Students 9th - 10th
Given a graph and/or verbal description of a situation (both continuous and discrete), the student will identify mathematical domains and ranges and determine reasonable domain and range values for the given situations.
Handout
Purple Math

Purplemath: Graphing Overview: Straight Lines

For Students 9th - 10th Standards
This resource provides an overview of graphing for various types of functions, instruction on graphing straight lines and also, includes advice on common mistakes made by students.
Unknown Type
Khan Academy

Khan Academy: Graph Interpretation Word Problems

For Students 9th - 10th Standards
Match features of graphs of modeling functions to their real-world meaning. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
eBook
CK-12 Foundation

Ck 12: 3.3 Inverse Functions

For Students 9th - 10th Standards
This section explores the process for finding inverses of functions, and then proving the function and its inverse algebraically. Additionally, it explores how the graphs of functions and their inverses compare to each other, and it...
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: F Bf Temperature Conversions

For Teachers 9th - 10th Standards
In this task involving temperature conversions, students compose and solve functions. Unit conversion problems provide a rich source of examples for the composition of functions and for inverses. Aligns with F-BF.A.1.c and F-BF.B.4.a.
Activity
Interactive Mathematics

Interactive Mathematics: Graphs of the Trigonometric Functions

For Students 9th - 10th Standards
The tutorial investigates period and frequency by examining the shapes of the sine and cosine functions. The resource consists of definitions, animations, interactive graphs, and examples. Practice problems with solutions are included.
Unit Plan
Texas Education Agency

Texas Gateway: Analyzing the Effects of Changes in "A" on the Graph Y=ax^2 + C

For Students 9th - 10th Standards
Given verbal, graphical, or symbolic descriptions of the graph of y = ax^2 + c, the student will investigate, describe, and predict the effects on the graph when "a" is changed.
Handout
Richland Community College

Richland Community College: Shifting, Reflecting, Stretching Graphs

For Students 9th - 10th
This site provides everything you need to know about translating graphs. Plenty of examples and charts and very easy to understand.
Unit Plan
Texas Education Agency

Texas Gateway: Collecting Data and Making Predictions

For Students 9th - 10th Standards
Given an experimental situation, the student will write linear functions that provide a reasonable fit to data to estimate the solutions and make predictions.
Unit Plan
Interactive Mathematics

Interactive Mathematics: Graphs of Sine and Cosine Functions

For Students 9th - 10th
An interactive graph provides a demonstration to show how the measure of an angle is related to the sine and cosine waves. Topics covered include amplitude and period. Examples allow students to practice the concepts.
Activity
Anne Arundel Community College

Anne Arundel Community College: Math 131: Graphs of Functions

For Students 9th - 10th Standards
The tutorial examines graphs of functions. Students learn about the graphs of six functions through examples with detailed solutions.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: F Le Comparing Graphs of Functions

For Teachers 9th - 10th
The goal of this task is to use appropriate tools to compare graphs of several functions. In addition, students are asked to study the structure of the different expressions to explain why these functions grow as they do. Aligns with...
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: F Le What Functions Do Two Graph Points Determine?

For Teachers 9th - 10th Standards
In this task, students find a unique linear function, a unique exponential function, and more than one quadratic function that go through the same two points on the coordinate grid. Aligns with F-LE.A.
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Khan Academy

Khan Academy: Evaluate Function Expressions

For Students 9th - 10th Standards
Evaluate expressions that contain function notation, given the functions' graphs.