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Worksheet
Curated OER

Center of Mass, Tangent Line Error Bound

For Students 10th - 12th
In this center of mass worksheet, students determine the center of mass of an isosceles triangle. They examine functions and determine the tangent error bound.  This one-page worksheet contains 5 problems.
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Interactive
CK-12 Foundation

Newton's Method

For Students 11th - Higher Ed
Use an iterative process to find an approximation of a square root. Pupils use the interactive to find an approximation to find the positive root of a quadratic function with Newton's method. With the graphs, learners position the...
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Interactive
CK-12 Foundation

Directed Line Segments: Dog Park

For Students 11th - Higher Ed Standards
Its a dog's world! Using a vector in standard position, pupils model the path a dog takes to different items in a dog park. The individuals use the interactive to find the magnitude and direction of the directed line segment.
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Worksheet
Curated OER

Higher Order Taylor Polynomials

For Students Higher Ed
For this polynomial worksheet, 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 Theorem. This...
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Worksheet
Curated OER

Math 155 - Worksheet 5. Derivative

For Students Higher Ed
In this derivative worksheet, 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 worksheet...
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Worksheet
Curated OER

Twenty Multiple Choice and Free Response Derivative Problems

For Students 11th - Higher Ed
In this derivative worksheet, students solve ten multiple choice and ten free response problems.  These problems include: derivatives of trig functions, tangent lines, parametric equations, and instantaneous rates of change.
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Worksheet
Curated OER

Circles

For Students 10th
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,...
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Worksheet
Curated OER

Inverse Functions

For Students 12th - Higher Ed
In this inverse functions instructional activity, 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...
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Lesson Plan
Curated OER

Lines in the Plane

For Teachers 9th - 11th
Learners differentiate between parallel and perpendicular lines. In this algebra lesson, students graph linear equations using the slope intercept form. They classify lines based on their slopes.
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Worksheet
Curated OER

Taylor's Theorem and Error in Tangent Line Approximations

For Students Higher Ed
In this tangent line approximation worksheet, students answer two essay questions about the approximation error when related to a function. They answer three short answer problems. Students graph one function and its tangent line.
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Worksheet
Curated OER

Tangent

For Students 10th
For this tangent worksheet, 10th graders solve 10 different problems that include various tangent lines. They find the value of x using the tangent of each given angle of various triangles illustrated. Then, students identify and define...
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Worksheet
Curated OER

Challenge Discussion Sheet 3

For Students Higher Ed
In this function worksheet, students prove given limits, solve differentiate functions, identify points on a graph with tangent lines passing through given points, determine the radius of a largest sphere that can fit inside of a pyramid...
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Worksheet
Curated OER

Parametric Equations

For Students Higher Ed
In this calculus and analytic geometry worksheet, students explore parametric equations, tangent lines and the loop of curves in six equations.
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Interactive
Curated OER

Arcs and Angles Formed by a Tangent and a Chord

For Students 10th
For this math worksheet, 10th graders solve problems involving a tangent line intersection the arc and forming various angles. There are 6 problems to be solved.
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Lesson Plan
Texas Instruments

Drawing a Line Tangent to a Circle

For Teachers 9th - 12th Standards
Explore lines tangent to a circle. In this math lesson, students manipulate circles and lines on a TI calculator. They draw a circle  and analyze perpendicular lines intersecting the circle in only one place. This activity works best if...
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Lesson Plan
Curated OER

Worksheet 8 - Limit of Slopes

For Teachers Higher Ed
In this limit of slopes worksheet, students compute the limit of slopes, find the slope of the secant line, and determine the slope of the tangent line. This one-page worksheet contains five multi-step problems.
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Worksheet
Curated OER

Sine, Cosine, and Tangent Ratios

For Students 11th
In this ratios learning exercise, 11th graders solve and complete 8 various types of problems. First, they read each problems and draw a sketch for each. Then, students write a trigonometric ratio for each problem and round any decimal...
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Interactive
CK-12 Foundation

Tangent Graphs: Slope and Angle

For Students 10th - 12th Standards
Learning about tangents doesn't have to be a slippery slope. Pupils drag a point around a unit circle to see how angle affects the slope of a line. They individually answer a set of challenge questions to come to the conclusion that...
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Lesson Plan
Curated OER

Tangents to a Circle

For Teachers 9th - 10th
Young scholars 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.
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Lesson Plan
EngageNY

The Definition of Sine, Cosine, and Tangent

For Students 9th - 10th Standards
Introduce your classes to a new world of mathematics. Pupils learn to call trigonometric ratios by their given names: sine, cosine, and tangent. They find ratios and use known ratios to discover missing sides of similar triangles. 
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Assessment
Concord Consortium

Shooting Arrows through a Hoop

For Students 9th - 12th Standards
The slope makes a difference. Given an equation of a circle and point, scholars determine the relationship of the slope of a line through the point and the number of intersections with the circle. After graphing the relationship, pupils...
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Worksheet
Curated OER

Tangent Properties

For Students 10th - 12th
For this pre-calculus worksheet, students solve for angles formed by a tangent line and a circle. There are 6 different worksheets containing 8-10 problems per sheet.
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Worksheet
Curated OER

Local Linearity and the Microscope Approximation

For Students Higher Ed
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...
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Lesson Plan
Curated OER

Slope and Tangent

For Teachers 9th - 11th
Learners differentiate between the slope and the tangent of the horizontal. In this precalculus lesson, students examine slopes created by tangent lines. They observe the angle formed using properties of the unit circle.

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