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.
Lesson Plan
Science Buddies

Science Buddies: Circles, Tangent Lines and Triangles

For Teachers 9th - 10th Standards
Here is a project that combines Computer Science and Mathematics. The semicircle has two tangent lines that meet at point T. You need to prove that a line drawn from A to T bisects CD. You'll also learn how to create an interactive...
Website
Cool Math

Coolmath: More on Tangent Lines

For Students 9th - 10th
This CoolMath resource provides instruction and practice for tangent lines.
Handout
Northeast Parallel Architectures Center, Syracuse University

Npac Reu Program: Tangent Lines and the Derivative

For Students 9th - 10th
The Northeast Parallel Architectures Center of Syracuse University provides a comprehensive site dealing with the tangent and the derivative. Provides table of contents which leads to different related topics.
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.
Activity
Texas Instruments

Texas Instruments: The Remainder Theorem, Polynomial Expansion, and Tangent Line

For Teachers 9th - 10th Standards
In this Derive activity, students use the Remainder Theorem to find a tangent line to the graph of a polynomial function.
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.
Unit Plan
CK-12 Foundation

Ck 12: Geometry: Tangent Lines

For Students 9th - 10th Standards
[Free Registration/Login may be required to access all resource tools.] This concept teaches students about tangent lines and how to apply theorems related to tangents of circles.
Handout
Cool Math

Coolmath: Tangent Lines

For Students 9th - 10th
Reference sheet describing tangent lines.
eBook
CK-12 Foundation

Ck 12: Interactive Geometry: 8.7 Tangent Lines to Circles

For Students 9th - 10th Standards
When a line intersects a circle in exactly one point the line is said to be tangent to the circle or a tangent of the circle.
Unit Plan
Khan Academy

Khan Academy: Determining Tangent Lines: Lengths

For Students 9th - 10th Standards
Solve two problems that apply properties of tangents to determine if a line is tangent to a circle.
Unit Plan
Khan Academy

Khan Academy: Determining Tangent Lines: Angles

For Students 9th - 10th Standards
Solve two problems that apply properties of tangents to determine if a line is tangent to a circle.
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.
Activity
Paul Dawkins

Paul's Online Notes: Tangent Lines and Rates of Change: Practice Problems

For Students 9th - 10th Standards
This section introduces two problems: rate of change of a function and tangent lines to functions. Both of these problems will be used to introduce the concept of limits.
Activity
CK-12 Foundation

Ck 12: Tangent Lines

For Students 9th - 10th
[Free Registration/Login Required] Students can adjust the size of the circle to explore the tangent lines. Click learn more to watch a video and click challenge me to answer a practice question.
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.
Unit Plan
Cuemath

Cuemath: Tangent

For Students 9th - 10th Standards
Learn about the tangent definition in geometry, tangent geometry, tangent to a circle, tangent line equation. Check-out the solved examples for better understanding and try your hand at the tangent line calculator or solving a few...
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: G C, G Co Tangent Lines and the Radius of a Circle

For Teachers 9th - 10th Standards
In this task, students are shown a circle with center O and point P on the circle. L is a line that is a tangent to the circle at P. They must show that line OP is perpendicular to line L. Aligns with G-C.A.2, G-CO.A, and G-CO.C.9.
Activity
Cut the Knot

Cut the Knot!: Monge's Theorem of Three Circles and Common Tangents

For Students 9th - 10th Standards
Very good site presenting a Trig problem dealing with tangents lines and circles, then linking the student to the solution
Activity
Texas Instruments

Texas Instruments: Drawing a Line Tangent to a Circle

For Teachers 9th - 10th Standards
Students use the drawing and measurement tools of Cabri Jr. to draw a line tangent to a circle. [Requires Adobe Reader.]
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.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: G Srt Tangent Line to Two Circles

For Teachers 9th - 10th Standards
The purpose of this task is to use similar triangles and setting up a proportion in order to calculate a side length. Aligns with G-SRT.B.5.
Unknown Type
Math Graphs

Houghton Mifflin: Math Graphs: Tangent Line 1 [Pdf]

For Students 9th - 10th
The resource has scholars find an equation of the tangent line to the graph at a given point. The resource consists of an enlarged printable version of a graph available in PDF format.

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