Article
Khan Academy

Khan Academy: What Are Position vs. Time Graphs?

For Students 9th - 10th
What can you learn from graphs that relate position and time and how are they useful? Article relates what the verticle axis, slope, and curvature represents on a position graph and provides examples.
Article
Other

The University of Edinburgh: Discrete Mathematics Graphs

For Students 10th - 12th
This article is an in-depth look at graphs. Topics covered are graph models, terminology, representations of graphs, graph isomorphism, connectivity, Euler and Hamiltonian Paths, and more. Examples and explanations are included.
Activity
Shodor Education Foundation

Shodor Interactivate: Multi Bar Graph

For Students 2nd - 8th Standards
The interactive learning activity allows students to manipulate a double bar graph. Teacher resources are included.
Unit Plan
Khan Academy

Khan Academy: What Are Velocity vs. Time Graphs?

For Students 9th - 10th
Graphs and examples help explain what the vertical axis, slope, and area represent on a velocity-time graph.
Graphic
PBS

Pbs Learning Media: What's Up With the Weather: Graphs

For Students 9th - 10th
Examine this graph from FRONTLINE/NOVA: "What's Up with the Weather?" Web site to see dramatic increases in three greenhouse gases over the last two hundred years.
Unit Plan
Texas Education Agency

Texas Gateway: Solving Systems of Equations With Graphs

For Students 9th - 10th Standards
Given verbal and/or algebraic descriptions of situations involving systems of linear equations, the student will solve the system of equations using graphs. Incorporates GeoGebra applets.
Unit Plan
Texas Education Agency

Texas Gateway:analyzing Effects of the Changes in M and B on the Graph of Y=mx+b

For Students 9th - 10th Standards
Given algebraic, graphical, or verbal representations of linear functions, the studnet will determine the effects on the graph of the parent function f(x) = x.
Graphic
PBS

Pbs Learning Media: Global Warming: Graphs Tell the Story

For Students 9th - 10th
Examine these graphs from the NOVA/ FRONTLINE Web site to see dramatic increases in the temperature of Earth's surface and greenhouse gases in the atmosphere.
Handout
Wolfram Research

Wolfram Math World: Graphs

For Students 9th - 10th
MathWorld.com shows many types of discrete math graphs and provides links to related topics.
Unit Plan
University of North Carolina

University of North Carolina Wilmington: Graphs of Functions

For Students 9th - 10th
Defining the graph of a function, vertical line test, characteristics of graphs, approximating relative extrema, and even and odd functions are covered with examples that include charts and graphs.
Interactive
PBS

Pbs: Interpreting Stories and Graphs

For Students 6th - 8th
This interactive exercise focuses on how line graphs can be used to represent mathematical data and provides an opportunity to translate actions from a story into graph form, then to write your own story to coincide with a line graph.
eBook
Mathigon

Mathigon: Graphs and Networks: The Bridges of Konigsberg

For Students 9th - 10th
This lesson focuses on developing a way to cross all 7 Bridges of Konigsberg without crossing any of them more than once. Euler discovered it was impossible, but he developed the idea of using graph theory to determine if it would be...
Unit Plan
PBS

Pbs: Manipulating Graphs

For Students 6th - 8th
Watch how a graph is altered when key elements of the equation change. This lesson focuses on how to manipulate the equation of a line in slope intercept form to match the graphs provided deepening the understanding of both the slope and...
Unit Plan
Math Planet

Math Planet: Use Graphing to Solve Quadratic Equations

For Students 9th - 10th Standards
A quadratic equation is an equation that can be written on the standard form ax^2 + bx + c = 0, where a is not = 0. One way of solving a quadratic equation is by factoring. Another way of solving a quadratic equation is to solve it...
Lesson Plan
Khan Academy

Khan: Lsn 8: Interpreting Relationships in Scatterplots/graphs/tables/equations

For Students 9th - 10th Standards
This lesson focuses on Interpreting and analyzing linear, quadratic, and exponential models and graphs. Students will use best fit lines to interpret contexts, distinguish whether contexts are linear or exponential functions, use the...
Handout
Purple Math

Purplemath: Trigonometric Functions and Their Graphs

For Students 10th - 12th Standards
Explains the horizontal forms of trigonometric graphs by showing how they relate to the circular graphs.
Handout
University of Saskatchewan (Canada)

University of Saskatchewan: Graphing Rational Functions

For Students 9th - 10th Standards
Offers a straightforward introduction to graphing rational functions. Includes an example.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: F if Graphing Rational Functions

For Teachers 9th - 10th Standards
In this task, learners interact with a Desmos app by moving sliders and making observations about features of the graphs and the structures of the expressions of the functions. Aligns with F-IF.C.7.d.
Handout
Paul Dawkins

Paul's Online Notes: Algebra: Graphing Functions

For Students 9th - 10th Standards
Detailed math tutorial features notes and examples that take a look at graphing functions including several examples of graphing piecewise functions.
Unit Plan
Texas Education Agency

Texas Gateway: Determining Parent Functions (Verbal/graph)

For Students 9th - 10th Standards
Given a graph or verbal description of a function, the student will determine whether the parent function is quadratic or linear.
Unit Plan
CK-12 Foundation

Ck 12: Analysis of Logarithmic Graphs: Graphs of Logarithmic Functions

For Students 10th - 12th Standards
[Free Registration/Login may be required to access all resource tools.] Graphing logarithmic functions using transformations. Identifying log functions as the inverses of exponential functions. Students examine guided notes, review...
Unit Plan
CK-12 Foundation

Ck 12: Algebra: Graph Using Intercepts: Graphs of Linear Functions

For Students 9th - 10th Standards
[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,...
Handout
Math Is Fun

Math Is Fun: Algebra: Graphing Quadratic Equations

For Students 9th - 10th
Explains how to graph quadratic equations and how to find the quadratic equation when given just the graph. Includes ten practice questions.
Unit Plan
CK-12 Foundation

Ck 12: Algebra: Graphs of Exponential Functions

For Students 11th - 12th Standards
[Free Registration/Login may be required to access all resource tools.] Graphing functions with the input variable in the exponent (exponential functions) using transformations and technology. Students examine guided notes, review guided...

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