Curated OER
Tangents to a Circle
Students construct tangent lines. In this geometry lesson plan, students identify the point of tangency, secant and tangent lines. They graph the lines on the Ti and make observations.
Curated OER
Circle Packing
Students identify different parts and properties of circles. In this geometry lesson, students identify the radius, diameter, semicircle and inscribed angle of a circle. They identify the tangent lines to a circle.
Curated OER
Rates Of Change
Students investigate the rate of change and how it effects a function over a given interval. They examine the slope of a line that is seccant and how it is compared to a tangent line and then determine the changes of a function at any...
Mathematics Vision Project
Circles: A Geometric Perspective
Circles are the foundation of many geometric concepts and extensions - a point that is thoroughly driven home in this extensive unit. Fundamental properties of circles are investigated (including sector area, angle measure, and...
Curated OER
Estimating Pi as a Length
In this pi learning exercise, students evaluate the curve of a quarter of a circle. They analyze the length of the curve, and explain that if the area under the curve is equal to pi, the length of the curve above is also equal to pi....
Virginia Department of Education
Arc Length and Area of a Sector
What do skateboarding and baked goods have in common with math? You can use them to connect half-pipe ramps and cakes to arcs and sectors. Pupils compare the lengths of three different ramp options of a skate park. They calculate the...
Curated OER
Lesson #20 Rates of Change and Velocity
Students investigate speed. In this rate of change lesson, students complete a rate/time/distance table to determine the average m.p.h. of a given trip. They listen and follow along with the lecture and examples to determine the average...
Curated OER
Geometry Regents Bimodal
For this geometry worksheet, students solve problems that are bimodal. They define properties of circles and triangles. There are 117 questions.
Curated OER
DEAD MAN'S CURVE
Ninth graders, after being given a unique scenario and a task sheet on Dead Man's Curve, calculate and explain the force needed to keep a car on a curve using a set of formulas and a geometric property of circles. They utilize and create...
Curated OER
Mathematical Wackie Wordies
In this word worksheet, 9th graders examine pictures and write a mathematical phrase to describe the picture. This one-page worksheet contains 25 problems. Answers are provided.
Curated OER
Measuring the Earth
Young scholars identify types of arcs and angles in a circle, find the measure of arcs and angles, and solve real world problems involving lengths of segments in circles, lengths, and areas.
Curated OER
Calculus: Graphical, Numerical, Algebraic
Students explore the interplay between the geometric and analytic information and on the use of calculus both to predict and to explain the observed local and global behavior of a function. They write a paragraph describing any...
CK-12 Foundation
Ck 12: Interactive Geometry: 8.8 Secant Lines to Circles
Learn about a line that intersects a circle in two points is called a secant line.
Mathematics Archives
Math Archives: Visual Calculus: Tangent Lines
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...
CK-12 Foundation
Ck 12: Geometry: Segments From Secants and Tangents
[Free Registration/Login may be required to access all resource tools.] This concept teaches students to solve for missing segments created by a tangent line and a secant line intersecting outside a circle.
Northeast Parallel Architectures Center, Syracuse University
Npac Reu Program: Tangent Lines
The Northeast Parallel Architectures Center at Syracuse University offers a fairly detailed site explaining the slope of a tangent line to a curve.
Math Graphs
Houghton Mifflin: Math Graphs: Tangent and Secant Lines 1 [Pdf]
Students use the given graph to sketch secant and tangent lines. The resource consists of an enlarged printable version of a graph available in PDF format.
Math Graphs
Houghton Mifflin: Math Graphs: Tangent and Secant Lines 2 [Pdf]
Learners sketch the secant and tangent lines of a given graph. The resource includes an enlarged printable version of a graph available in PDF format.
CK-12 Foundation
Ck 12: Geometry: Angles Outside a Circle Intermediate
[Free Registration/Login may be required to access all resource tools.] This concept teaches students how to calculate angles formed outside a circle by tangent and secant lines.
CK-12 Foundation
Ck 12: Geometry: Segments From Secants and Tangents
[Free Registration/Login may be required to access all resource tools.] Apply the Tangent Secant Segment Theorem.
Math Open Reference
Math Open Reference: Secant
Learn about secants with this helpful reference tool. Provides a detailed definition and examples that enhance further explanation. Includes links to related topics.
Department of Defense
Do Dea: Average Rates of Change
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...
Stefan Warner and Steven R. Costenoble
Finite Mathematics & Applied Calculus: The Derivative: Graphical Viewpoint
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.
Walter Fendt
Walter Fendt: Slope of a Secant / Tangent Line
A short interactive activity to help you visualize the slope of a secant as it gets closer to the tangent line.
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