Lawrence Hall of Science
The Math Page: Topics in Pre Calculus: Basic Graphs
Here is a site that clearly and thoroughly explains the graphs of the major mathematical functions. There are example problems solved, problems for the student to attempt, and answers to the student problems. Point this site out to...
Math Planet
Math Planet: Algebra 1: Representing Functions as Rules and Graphs
Provides examples and a video lesson that illustrates how to represent a function as a rule or graph.
Paul Dawkins
Paul's Online Notes: Common Graphs Practice Problems
In this section we will do a very quick review of many of the most common functions and their graphs that typically show up in a Calculus class.
Cool Math
Coolmath: Graphing Rational Functions Putting It All Together
A tutorial reviewing graphing rational functions.
Cool Math
Coolmath: Pre Calculus Graphs to Know and Love
A list and visuals of standard graphs from y = x to an absolute value.
Cool Math
Coolmath: Pre Calculus Shifting, Reflecting, Etc.
Description and examples of shifting and reflecting various graphs.
Illustrative Mathematics
Illustrative Mathematics: F if a Sse Modeling London's Population
In this task, students are shown a table of population data for the city of London and are asked to explore whether a linear, quadratic, or exponential function would be appropriate to model relationships within the data. They are next...
Illustrative Mathematics
Illustrative Mathematics: F if Throwing Baseballs
In this task about the height of baseballs thrown into the air, students are asked to compare characteristics of two quadratic functions that are each represented differently, one as the graph of a quadratic function and one written out...
Illustrative Mathematics
Illustrative Mathematics: F if Logistic Growth Model, Explicit Version
For this task, students are presented with a graph showing the growth of the U.S. population from 1790 to 1940 and are given the equation for a logistic function for it. They are asked to use the equation and the graph to find the...
Illustrative Mathematics
Illustrative Mathematics: F if Logistic Growth Model, Abstract Version
For this task, young scholars are presented with an equation for a logistic growth model and are asked to analyze it. They are then questioned about a graph showing bacterial population growth. Next, they must use information from...
Illustrative Mathematics
Illustrative Mathematics: F if Telling a Story With Graphs
For this task, students are presented with three weather-related graphs - on temperature, solar radiation, and precipitation. They are asked to describe the function represented in each graph and tell a more detailed story using...
Illustrative Mathematics
Illustrative Mathematics: F if How Is the Weather?
For this task, learners are presented with three graphs that show solar radiation as a function of time. They are asked to match each graph to the corresponding description of the weather during the day. Aligns with F-IF.B.4.
Illustrative Mathematics
Illustrative Mathematics: F if Influenza Epidemic
Students are presented with a graph showing the spread of an influenza epidemic through a city. They are asked to read and interpret the graph and the equation for its function. Aligns with F-IF.B.4.
Illustrative Mathematics
Illustrative Mathematics: F if Model Airplane Acrobatics
In this task, a model airplane pilot is practicing flying her airplane in a big loop for an upcoming competition. The task could serve as an introduction to periodic functions and as a lead-in to sinusoidal functions. By visualizing the...
Illustrative Mathematics
Illustrative Mathematics: F Bf,if the Canoe Trip, Variation 1
In this task about canoeing, learners must analyze paddling speed and current speed, which are working against each other, to determine how long a canoe trip would take. They write expressions and analyze characteristics of the graph...
Illustrative Mathematics
Illustrative Mathematics: F Bf,if the Canoe Trip, Variation 2
In this task about canoeing, paddling speed, and current speed, students examine how long a trip would take at different speeds. They write a function equation, graph their equation, and explain their thinking. The primary purpose of the...
Purple Math
Purplemath: Graphing Overview: Straight Lines
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.
Purple Math
Purplemath: Functions: Domain and Range
Discusses the domain and range of a function, and how to find the domain and range from a list of points or from a graph.
Khan Academy
Khan Academy: Graph Interpretation Word Problems
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.
Purple Math
Purplemath: Practical Algebra Lessons
Pre-algebra and algebra lessons, from negative numbers through pre-calculus. Grouped by level of study. Lessons are practical in nature informal in tone, and contain many worked examples and warnings about problem areas and probable...
Purple Math
Purplemath: Practical Algebra Lessons
Pre-Algebra and algebra lessons, from negative numbers through Pre-Calculus. Grouped by level of study. Lessons are practical in nature, informal in tone, and contain many worked examples and warnings about problem areas and probable...
CK-12 Foundation
Ck 12: Algebra: Algebraic Functions
[Free Registration/Login may be required to access all resource tools.] In this lesson students determine if a given relation or graph is a function. Students watch a video tutorial, examine guided notes and attempt practice problems.
CK-12 Foundation
Ck 12: Algebra: Using Functions to Describe a Situation
[Free Registration/Login may be required to access all resource tools.] Students learn to write a function rule from a table of values and represent real-world situations with a function. Students examine guided notes, review guided...
CK-12 Foundation
Ck 12: Algebra: Graph Using Intercepts: Graphs of Linear Functions
[Free Registration/Login may be required to access all resource tools.] In this tutorial, students learn to write and evaluate functions and determine if a graph represents a function. They examine guided notes, review guided practice,...