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
Mathematics Archives

Math Archives: Visual Calculus: Tangent Lines and Parametric Curves

For Students 9th - 10th
This site provides information on tangent lines and parametric curves. It includes formulas and examples.
Website
Cool Math

Coolmath: More on Tangent Lines

For Students 9th - 10th
This CoolMath resource provides instruction and practice for tangent lines.
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.
Handout
Cool Math

Coolmath: Tangent Lines

For Students 9th - 10th
Reference sheet describing tangent lines.
Activity
Analyze Math

Analyze Math: Solve Tangent Lines Problems in Calculus

For Students 9th - 10th
The resource consists of examples that explore tangent lines. Practice exercises with solutions are included.
Interactive
National Council of Teachers of Mathematics

Nctm: Illuminations: Interactive Calculus Tool

For Students 9th - 10th
Investigate graphs of polynomial functions, tangent lines, derivatives, and area under a curve with this interactive applet.
Activity
Stefan Warner and Steven R. Costenoble

Finite Mathematics & Applied Calculus: The Derivative: Graphical Viewpoint

For Students 9th - 10th
The resource investigates the graphical approach of calculating the derivative. Topics examined are secant and tangent lines. Students learn about the calculus concepts through notes and examples.
Handout
Other

Dans Math: Lessons: Calculus (Part 1)

For Students 9th - 10th
College professor Dan Bach reviews the basic calculus concepts of limits and derivatives. The site includes examples and animated graphs.
Activity
Paul Dawkins

Paul's Online Notes: Calculus I: Limits

For Students 9th - 10th
Learners explore limits. Topics investigated are continuity, limits at infinity, limit properties, tangent lines, and rates of change. Class notes, definitions, and examples with detailed solutions are included. The class notes are...
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.
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.
Activity
Stefan Warner and Steven R. Costenoble

Finite Mathematics & Applied Calculus: The Derivative: The Derivative Function

For Students 9th - 10th
Students learn about the derivative function. The tutorial explores the calculus concept through notes and examples.
Unit Plan
CK-12 Foundation

Ck 12: Analysis: Tangents to a Curve

For Students 11th - 12th
[Free Registration/Login may be required to access all resource tools.] Calculate the equation of a line tangent to a single point
Activity
Stefan Warner and Steven R. Costenoble

Finite Mathematics & Applied Calculus: The Derivative: Algebraic Viewpoint

For Students 9th - 10th
Students learn how to compute the derivative algebraically. The tutorial explores the calculus concept through notes and examples.
Activity
University of British Columbia

Ubc Calculus: Linear Approximations

For Students 9th - 10th
Good site on linear approximations. Examples and problems to aid the student in understanding the concepts
Study Guide
Department of Defense

Do Dea: Normal Line to a Curve

For Students 9th - 10th
The tangent to a curve is always found at a certain point along the curve. Often you will be asked to find the normal to a curve at a point. View an example on this site.
Interactive
Interactive Mathematics

Interactive Mathematics: Differentiation

For Students 9th - 10th
Explore the world of Calculus through differentiation. Focusing on areas such as limits, tangents to curves, and derivatives, this site shows you how to solve problems based on the discoveries of Sir Isaac Newton and Gottfried Leibniz....
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Math Graphs

Houghton Mifflin: Math Graphs: Mean Value Theorem 3 [Pdf]

For Students 9th - 10th
The handout investigates the calculus concept that given a section of a smooth curve, there is at least one point on that section where the slope of the curve is the same as the average derivative. The exercise consists of a graph that...
Unknown Type
Math Graphs

Houghton Mifflin: Math Graphs: Mean Value Theorem 4 [Pdf]

For Students 9th - 10th
The handout investigates the calculus concept that given a section of a smooth curve, there is at least one point on that section where the slope of the curve is the same as the average derivative. The exercise consists of a graph that...
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...
Unit Plan
CK-12 Foundation

Ck 12: Analysis: The Number E

For Students 10th - 12th
[Free Registration/Login may be required to access all resource tools.] This lesson introduces the natural number, e, and how to use it.