AP Test Prep13:57
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Flipped Math

Calculus AB/BC - Sketching Slope Fields

For Students 10th - 12th
Frolic through a field of slopes. Learners watch a video describing slope fields and how to create one. Scholars use given slope fields to determine the equation of a tangent line and the possible differential equation. Pupils continue...
Worksheet
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Inverse Trig Functions

For Students 10th - 11th
Learners solve and graph 10 different problems that are the inverses of various trig functions. First, they determine which equation is equivalent to a given equation. Then, they find an angle of a right triangle, given its leg lengths....
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...
Worksheet
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Higher Order Taylor Polynomials

For Students Higher Ed
In 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...
Worksheet
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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...
Worksheet
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Senior Analysis: Derivatives by Definition

For Students 11th - Higher Ed
In this derivative worksheet, students find the derivative of given functions. They identify the equation of a line tangent to a specified function. This three-page worksheet contains 22 multi-step problems.
Worksheet
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Worksheet 6.7 MT-A141 PreCalculus

For Students 10th - 11th
In this PreCalculus worksheet, students explore inverse relations of sine, cosine, and tangent. They graph three functions and describe the inverse function.
Worksheet
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Trigonometry Ratios in Right Triangles

For Students 10th
In this trigonometry ratios in right triangles worksheet, 10th graders solve 10 different trigonometric ratios that apply to right triangles. First, they define a trigonometric ratio and its three most common ratios, sine, cosine, and...
Worksheet
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Worksheet 22

For Students 11th - Higher Ed
In this math worksheet, students demonstrate that the point ( 1√ 2 , −1 2 , 1 2 ) lies on the unit sphere. They find the equation of the plane tangent to the unit sphere.
Worksheet
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Math 155 - Fall 2005 Differentiation

For Students Higher Ed
In this differentiation worksheet, students find an equation of a line tangent to a curve. They use linear approximation to estimate answers. This two-page worksheet contains approximately 12 multi-step problems.
Worksheet
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Math 155 - Worksheet 7. Function

For Students Higher Ed
For this function worksheet, students compute the derivative of given functions. They find the equation of a tangent line to a curve and compute the implicit differentiation. This two-page worksheet contains six problems.
Worksheet
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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...
Worksheet
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Math 155 - Worksheet 4. Limits

For Students Higher Ed
For this limits worksheet, students find the limits of functions. They identify an equation of the line tangent to a curve. Students identify the velocity of objects. This two-page worksheet contains five problems.
Worksheet
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Sine

For Students 10th
In this sine instructional activity, 10th graders solve 10 different problems that include finding the sine in each figure shown. They determine the value of x in each situation. Then, students use the tangent line of the given angle to...
Worksheet
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Graphs

For Students 10th
In this graphs worksheet, 10th graders identify and solve 10 different problems that include reading various graphs of lines. They determine the equation for each graph whether it is dealing with tangent, cotangent, secant or cosecant.
Worksheet
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Inverse Trig

For Students 11th - Higher Ed
In this inverse trig activity, students solve and complete 24 various types of problems. First, they evaluate each of the trigonometric inverses shown. Then, students find x and y in each trigonometric derivative. They also find the...
Worksheet
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Derivatives

For Students 11th
In this derivatives worksheet, 11th graders solve and complete 2 various types of problems. First, they use the definition of a derivative to find the variable expression shown for each function. Then, students write the equation of the...
Worksheet
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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.
Interactive
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Segment Formulas Multiple Choice

For Students 10th
In this geometry learning exercise, 10th graders use the theorems regarding circles and tangents to find the indicated missing segment length.  The one page interactive learning exercise contains ten problems.  Answers are...
Lesson Plan
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Worksheet 11 - Fall 95

For Teachers 12th - Higher Ed
In this calculus worksheet, students solve differentiable functions, determine the inverse of a function and identify the derivative. This one-page worksheet contains seven multi-step problems.
Lesson Plan
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Worksheet 17-Fall 1995

For Teachers Higher Ed
In this math worksheet, students find y' both implicitly and explicitly for given relations. They find y' using implicit differentiation for a given relation. Students prove the Pythagorean Theorem
Lesson Plan
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Solving Problems Involving Chords, Radii, Tangents, Secants and Arcs within the Same Circle

For Teachers 10th
Tenth graders apply their knowledge of angles related to a circle, radii, secants, tangents and chords of a circle. They practice using formulas related to a circle. They also apply what has been practiced to real life situations.
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.
Worksheet
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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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