Curated OER
Worksheet 10 - Limits
In this limits worksheets, students graph tangent lines and determine the slope of a secant line. This one-page worksheet contains six multi-step problems.
Curated OER
Introduction to Tangent Lines using the TI-Nspire
Students make mathematical argument using the concept of Limit. In this algebra lesson, student calculate the instantaneous rate of change from the linear graph. They use a TI-calculator to create a visual of the graphs.
Curated OER
Inverse Functions
In this inverse functions worksheet, students solve and complete 3 sets of different problems. First, they find the expression and simplify. Then, students find the value of a given variable when it is the inverse in the function. They...
Curated OER
Circles
In this circles worksheet, 10th graders solve and complete 13 various types of problems. First, they solve each set of triangles for the given variable. Then, students name a radius, a diameter, a tangent, a secant, a point of tangency,...
Curated OER
Local Linearity and the Microscope Approximation
In this local linearity worksheet, students identify the slope of a line tangent to the graph at a given point. They use linear approximation to estimate values. Students determine the slope of a secant line at a given point. This...
Curated OER
Higher Order Taylor Polynomials
In this polynomial instructional activity, students approximate values of linearly using the tangent line. They use first and second-degree polynomials to find the equation of a line tangent to a graph. Students explore Taylor's...
Curated OER
Math 155 - Worksheet 5. Derivative
In this derivative learning exercise, students find the derivative of given functions and find the equation of a tangent line to a curve. They differentiate functions and work velocity and acceleration functions. This two-page learning...
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...
Northeast Parallel Architectures Center, Syracuse University
Npac Reu Program: Tangent Lines and the Derivative
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.
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.
Texas Instruments
Texas Instruments: Relationship Between Radius and Tangent to a Circle
Generalize that a tangent and a radius form a 90-degree angle.
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.
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.
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.
Texas Instruments
Texas Instruments: The Tangent Ratio
In this activity students explore the tangent ratio. Students construct a right triangle using perpendicular lines, and a line that forms the hypotenuse of the triangle. When students construct the hypotenuse line it is very important...
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 Instruments
Texas Instruments: Implicit Differentiation
Students differentiate an equation in two variables with respect to one. They calculate points where the tangent line is horizontal, vertical, or oblique and use the graphing capacity of the TI-89 to display the graph of the implicit...
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.
Other
Karl's Calculus: Derivatives: The Equation of the Tangent
This site goes through a step by step example of how to find the equation of the tangent to a curve using the derivative.
Analyze Math
Analyze Math: Solve Tangent Lines Problems in Calculus
The resource consists of examples that explore tangent lines. Practice exercises with solutions are included.
CK-12 Foundation
Ck 12: Tangent Lines
[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.
CK-12 Foundation
Ck 12: Analysis: Tangents to a Curve
[Free Registration/Login may be required to access all resource tools.] Calculate the equation of a line tangent to a single point
CK-12 Foundation
Ck 12: Geometry: Angles on and Inside a Circle Intermediate
[Free Registration/Login may be required to access all resource tools.] This concept teaches students how to find angles on and inside a circle created by chords and tangent lines.