Unit Plan
University of California

U of Ca, Davis: Graphing Functions Using Derivatives

For Students 9th - 10th
Learn about the graphing of functions through useage of the first and second derivatives.
Graphic
Mathematics Archives

Math Archives: Visual Calculus: Graph a Function, Its Second Derivative

For Students 9th - 10th
This online tutorial site shows that the concavity of a function is related to the second derivative of the function by using an online graphing system. Inflection points are also briefly discussed.
Activity
Stefan Warner and Steven R. Costenoble

Finite Mathematics & Applied Calculus: Function Evaluator and Grapher

For Students 9th - 10th Standards
Students enter functions into the grapher. The resource allows students to compute derivatives, graph derivatives, trace curves, compute function values, and add plotted points.
Activity
Free Math Help

Free Math Help: Trigonometry Derivatives

For Students 9th - 10th Standards
The tutorial examines trigonometric derivatives. Formulas, graphs, and an example are included.
Unknown Type
Math Graphs

Houghton Mifflin: Math Graphs: Sketching Derivative & Second Derivative 1 [Pdf]

For Students 9th - 10th Standards
Learners use the graph of the original function to sketch the graphs of the derivative and second derivative. The resource consists of an enlarged printable version of a math graph available in PDF format.
Unknown Type
Math Graphs

Houghton Mifflin: Math Graphs: Sketching Derivative & Second Derivative 2 [Pdf]

For Students 9th - 10th Standards
Learners use the graph of the original function to sketch the graphs of the derivative and second derivative. The resource consists of an enlarged printable version of a math graph available in PDF format.
Unknown Type
Math Graphs

Houghton Mifflin: Math Graphs: Sketching Derivative & Second Derivative 4 [Pdf]

For Students 9th - 10th Standards
Learners use the graph of the original function to sketch the graphs of the derivative and second derivative. The resource consists of an enlarged printable version of a math graph available in PDF format.
Unknown Type
Math Graphs

Houghton Mifflin: Math Graphs: Sketching Derivative & Second Derivative 3 [Pdf]

For Students 9th - 10th Standards
Learners use the graph of the original function to sketch the graphs of the derivative and second derivative. The resource consists of an enlarged printable version of a math graph available in PDF format.
Unknown Type
Math Graphs

Houghton Mifflin: Math Graphs: Sketching Derivative & Second Derivative 11 [Pdf]

For Students 9th - 10th
The handout asks learners to sketch the graphs of the derivative and second derivative. The resource consists of an enlarged printable version of a graph available in PDF format.
Unknown Type
Math Graphs

Houghton Mifflin: Math Graphs: Sketching Derivative & Second Derivative 12 [Pdf]

For Students 9th - 10th
The handout asks learners to sketch the graphs of the derivative and second derivative. The resource consists of an enlarged printable version of a graph available in PDF format.
Unknown Type
Math Graphs

Houghton Mifflin: Math Graphs: Function, Derivative, & Second Derivative 12 [Pdf]

For Students 9th - 10th
Learners identify between a function graph, its derivative, and its second derivative. The graphs are available in PDF format.
Unknown Type
Math Graphs

Houghton Mifflin: Math Graphs: Function, Derivative, & Second Derivative 11 [Pdf]

For Students 9th - 10th
Learners identify between a function graph, its derivative, and its second derivative. The graphs are available in PDF format.
Unknown Type
Math Graphs

Houghton Mifflin: Math Graphs: Function, Derivative Graphs 3 [Pdf]

For Students 9th - 10th Standards
Students differentiate between the graphs of the function, its derivative, and its second derivative. The resource consists of an enlarged printable version of a math graph available in PDF format.
Unknown Type
Math Graphs

Houghton Mifflin: Math Graphs: Function, Derivative Graphs 4 [Pdf]

For Students 9th - 10th Standards
Students differentiate between the graphs of the function, its derivative, and its second derivative. The resource consists of an enlarged printable version of a math graph available in PDF format.
Unknown Type
Math Graphs

Houghton Mifflin: Math Graphs: Function, Derivative Graphs 5 [Pdf]

For Students 9th - 10th Standards
Students use the graph of the derivative to determine the graphs of the original function and the second derivative. The example is available in PDF format.
Unknown Type
Math Graphs

Houghton Mifflin: Math Graphs: Function, Derivative Graphs 6 [Pdf]

For Students 9th - 10th Standards
Students use the graph of the derivative to determine the graphs of the original function and the second derivative. The example is available in PDF format.
Unknown Type
Math Graphs

Houghton Mifflin: Math Graphs: Function, Derivative Graphs 7 [Pdf]

For Students 9th - 10th Standards
The resource has learners label the graphs of the function and its second derivative from the graph of the derivative. The example is available in PDF format.
Unknown Type
Math Graphs

Houghton Mifflin: Math Graphs: Function, Derivative Graphs 8 [Pdf]

For Students 9th - 10th Standards
The resource has students label the graphs of the function and its second derivative from the graph of the derivative. The example is available in PDF format.
Unknown Type
Math Graphs

Houghton Mifflin: Math Graphs: Second Derivative Graph 1 [Pdf]

For Students 9th - 10th Standards
A graph of the second derivative is given and students are asked to sketch the graphs of the first derivative and original function. The handout is available in PDF format.
Unknown Type
Math Graphs

Houghton Mifflin: Math Graphs: Function, Derivative Graphs 9 [Pdf]

For Students 9th - 10th Standards
The handout examines the graphs of a function, its derivative, and its second derivative. The graphs are available in PDF format.
Unknown Type
Math Graphs

Houghton Mifflin: Math Graphs: Sketching the Derivative 9 [Pdf]

For Students 9th - 10th Standards
Students sketch the graphs of the derivative and second derivative using the function graph. The graph is available in PDF format.
Unknown Type
Math Graphs

Houghton Mifflin: Math Graphs: Sketching the Derivative 10 [Pdf]

For Students 9th - 10th Standards
Students sketch the graphs of the derivative and second derivative using the function graph. The graph is available in PDF format.
Unknown Type
Math Graphs

Houghton Mifflin: Math Graphs: Second Derivative Graph 3 [Pdf]

For Students 9th - 10th Standards
The exercise has students sketch the graph of a function and derivative using the graph of the second derivative. The example is available in PDF format.
Unknown Type
Math Graphs

Houghton Mifflin: Math Graphs: Function, Derivative [Pdf]

For Students 9th - 10th Standards
Students identify the graphs of the function, its derivative, and its second derivative. The resource consists of an enlarged printable version of a math graph available in PDF format.