Activity
Mathematics Archives

Math Archives: Visual Calculus: Tangent Lines

For Students 9th - 10th
This is a detailed site concerning tangent lines to curves. The site gives the limiting definition of the slope of the tangent. This site has a link to a discussion and animation of the approaching secant line, a java applet for the...
Activity
Texas Instruments

Texas Instruments: The Slope of the Tangent Line (Part2)

For Teachers 9th - 10th
In this activity, students graph the cubic and quadratic functions. They also graph the slope values of the tangent lines for each of the function graphs.
Handout
Northeast Parallel Architectures Center, Syracuse University

Npac Reu Program: Tangent Lines

For Students 9th - 10th
The Northeast Parallel Architectures Center at Syracuse University offers a fairly detailed site explaining the slope of a tangent line to a curve.
Unknown Type
Math Graphs

Houghton Mifflin: Math Graphs: Slope of a Tangent Line 1 [Pdf]

For Students 9th - 10th
Students use the given graph to estimate the slope of a tangent line. The resource consists of an enlarged printable version of a math graph available in PDF format.
Unknown Type
Math Graphs

Houghton Mifflin: Math Graphs: Slope of a Tangent Line 2 [Pdf]

For Students 9th - 10th
Students use the given graph to estimate the slope of a tangent line. The resource consists of an enlarged printable version of a math graph available in PDF format.
Unknown Type
Math Graphs

Houghton Mifflin: Math Graphs: Slope of a Tangent Line 3 [Pdf]

For Students 9th - 10th
Students use the given graph to estimate the slope of a tangent line. The resource consists of an enlarged printable version of a math graph available in PDF format.
Unknown Type
Math Graphs

Houghton Mifflin: Math Graphs: Slope of a Tangent Line 4 [Pdf]

For Students 9th - 10th
Students use the given graph to estimate the slope of a tangent line. The resource consists of an enlarged printable version of a math graph available in PDF format.
Activity
Texas Instruments

Texas Instruments: The Slope of the Tangent Line (Part1)

For Teachers 9th - 10th
In this activity, students use the CellSheet Application to approximate the slope of a line tangent to a curve.
Unknown Type
Math Graphs

Houghton Mifflin: Math Graphs: Slope of a Tangent Line 5 [Pdf]

For Students 9th - 10th
Learners estimate the slope of the tangent line and verify their answer analytically. The graph is available in PDF format.
Unknown Type
Math Graphs

Houghton Mifflin: Math Graphs: Slope of a Tangent Line 6 [Pdf]

For Students 9th - 10th
Learners estimate the slope of the tangent line and verify their answer analytically. The graph is available in PDF format.
Unknown Type
Math Graphs

Houghton Mifflin: Math Graphs: Slope of a Tangent Line 15 [Pdf]

For Students 9th - 10th
The practice problem compares finding the slope of the tangent line graphically and analytically. The handout is available in PDF format.
Unknown Type
Math Graphs

Houghton Mifflin: Math Graphs: Slope of a Tangent Line 16 [Pdf]

For Students 9th - 10th
The practice problem compares finding the slope of the tangent line graphically and analytically. The handout is available in PDF format.
Unknown Type
Math Graphs

Houghton Mifflin: Math Graphs: Slope of a Tangent Line 7 [Pdf]

For Students 9th - 10th
The resource has students estimate the slope of the tangent line at a given point. The graph is available in PDF format.
Unknown Type
Math Graphs

Houghton Mifflin: Math Graphs: Slope of a Tangent Line 8 [Pdf]

For Students 9th - 10th
The resource has students estimate the slope of the tangent line at a given point. The graph is available in PDF format.
Graphic
Mathematics Archives

Math Archives: Visual Calculus: Tangent Lines to Polar Graphs

For Students 9th - 10th
This site give the formula for finding the slope of the tangent line to a polar graph. The page offers step by step explanations and worked examples.
Unknown Type
Math Graphs

Houghton Mifflin: Math Graphs: Slope of a Tangent Line 9 [Pdf]

For Students 9th - 10th
Learners examine the concept of a slope related to differential calculus. The math graph is available in PDF format.
Unknown Type
Math Graphs

Houghton Mifflin: Math Graphs: Slope of a Tangent Line 10 [Pdf]

For Students 9th - 10th
Learners examine the concept of a slope related to differential calculus. The math graph is available in PDF format.
Unknown Type
Math Graphs

Houghton Mifflin: Math Graphs: Slope of a Tangent Line 13 [Pdf]

For Students 9th - 10th
The handout has students estimate the rate of change of the function at a given point. The exercise consists of a graph available in PDF format.
Unknown Type
Math Graphs

Houghton Mifflin: Math Graphs: Slope of a Tangent Line 14 [Pdf]

For Students 9th - 10th
The handout has students estimate the rate of change of the function at a given point. The handout consists of a graph available in PDF format.
Unknown Type
Math Graphs

Houghton Mifflin: Math Graphs: Slope of a Tangent Line 11 [Pdf]

For Students 9th - 10th
Students estimate the derivative of the function at a point. The function graph is available in PDF format.
Unknown Type
Math Graphs

Houghton Mifflin: Math Graphs: Slope of a Tangent Line 12 [Pdf]

For Students 9th - 10th
Students estimate the derivative of the function at a point. The function graph is available in PDF format.
Website
Other

Karl's Calculus: Derivatives: The Equation of the Tangent

For Students 9th - 10th
This site goes through a step by step example of how to find the equation of the tangent to a curve using the derivative.
Interactive
Walter Fendt

Walter Fendt: Slope of a Secant / Tangent Line

For Students 9th - 10th
A short interactive activity to help you visualize the slope of a secant as it gets closer to the tangent line.
Study Guide
Department of Defense

Do Dea: Average Rates of Change

For Students 9th - 10th Standards
This document looks at look at the difference between averages and instantaneous rates of change. Formulas are provided for average speed, instantaneous speed, the slope of a secant line, the slope of a tangent, and the slope of a curve...