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Math Graphs
Houghton Mifflin: Math Graphs: Mean Value Theorem 2 [Pdf]
The resource examines the Mean Value Theorem. Students sketch secant and tangent lines. The graph is available in PDF format.
Math Graphs
Houghton Mifflin: Math Graphs: Average Rate of Change 1 [Pdf]
Students use the graph of "f" to determine the average rate of change and sketch a tangent line. The problem is available in PDF format.
Math Graphs
Houghton Mifflin: Math Graphs: Average Rate of Change 3 [Pdf]
The handout explores the relationship between the average rate of change and the slope of the tangent line. The exercise is available in PDF format.
Math Graphs
Houghton Mifflin: Math Graphs: Average Rate of Change 2 [Pdf]
Students use a given graph to investigate the average rate of change and slope of the tangent line. The practice problem is available in PDF format.
Varsity Tutors
Varsity Tutors: Hotmath: Practice Problems: Derivatives
Hotmath provides 26 practice problems dealing with derivatives and their graphs. Each of the practice problems include a step-by-step guide for solving their derivative.
Sophia Learning
Sophia: Two Lines Tangent to a Circle: Lesson 3
This lesson will present how if two segments from the same point outside a circle are tangent to a circle, then they are congruent. It is 3 of 5 in the series titled "Two Lines Tangent to a Circle."
Interactive Mathematics
Interactive Mathematics: Tangents and Normals
Finding the slopes and equations of the tangent and normal lines of curves is demonstrated using derivatives. Interactive examples are provided.
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.
Department of Defense
Do Dea: Normal Line to a Curve
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.
University of Regina (Canada)
University of Regina: Math Central: Angle of Intersection of Two Lines
Use this question response site from the University of Regina about finding the acute angle of intersection between the two given lines. The response contains a visual aide and commentary to help.
Shodor Education Foundation
Shodor Interactivate: Derivate
View the graph and the equation of the line tangent to any function at any point on the function.
CK-12 Foundation
Ck 12: Geometry: Properties of a Circle Study Guide
[Free Registration/Login may be required to access all resource tools.] This study guide reviews the terminology for circles (tangent, arcs, central angles) and the equation for a circle.
Other
Dans Math: Lessons: Calculus (Part 1)
College professor Dan Bach reviews the basic calculus concepts of limits and derivatives. The site includes examples and animated graphs.
ClassFlow
Class Flow: Circles Geometry
[Free Registration/Login Required] Students identify segments and lines related to circles and the properties of a tangent to a circle.
Interactive Mathematics
Interactive Mathematics: Differentiation
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....
Texas A&M University
Differentials
Detailed site explaining differentials. This site has downloadable examples and papers on differentiation.
BBC
Bbc: The Circle
The equation of a circle is the focus of this site. Topics include tangents, intersecting circles, and intersection of lines and circles. Examples and a practice test are available.
Illustrative Mathematics
Illustrative Mathematics: G Srt Ask the Pilot
In the July 2013 issue of United Airlines' Hemisphere Magazine, a pilot responded to a question about how far in the distance he could see at different altitudes. The solution involved right triangles, lines of tangency to a circle, and...
Stefan Warner and Steven R. Costenoble
Finite Mathematics & Applied Calculus: The Derivative: The Derivative Function
Students learn about the derivative function. The tutorial explores the calculus concept through notes and examples.
Ministry of Education and Universities of the Region of Murcia (Spain)
Ministerio De Educacion Y Ciencia: Tangencias
In Spanish. This interactive unit introduces various geometric concepts which are intended to be tools for solving problems of tangencies between straight lines, circles and points.
University of British Columbia
Ubc Calculus: Linear Approximations
Good site on linear approximations. Examples and problems to aid the student in understanding the concepts
Stefan Warner and Steven R. Costenoble
Finite Mathematics & Applied Calculus: The Derivative: Algebraic Viewpoint
Students learn how to compute the derivative algebraically. The tutorial explores the calculus concept through notes and examples.
Texas Education Agency
Texas Gateway: Making Conjectures About Circles and Segments
Given examples of circles and the lines that intersect them, the student will use explorations and concrete models to formulate and test conjectures about the properties and relationships among the resulting segments.
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...
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