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Worksheet
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Angles of Elevation and Depression

For Students 10th
In this angles of elevation and depression worksheet, 10th graders solve 4 word problems that are related to determining the angles of elevation and depression. First, they define angle of elevation and angle of depression as used in the...
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Worksheet
Curated OER

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...
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Worksheet
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Identity Worksheet

For Students 11th - Higher Ed
In this identity worksheet learners use trigonometric functions to prove given statements are true. This one-page worksheet contains fifteen problems.
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Worksheet
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Angle and Radian Measure

For Students 9th - 10th
In this angle and radian measure learning exercise, students find the measurement of a central angle. Students determine the speed of rotation, linear speed of a point, and radians per second. This two-page learning exercise contains...
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Worksheet
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Worksheet 12: Relative Maximum and Minimum

For Students 12th - Higher Ed
In this relative maximum worksheet, students determine the velocity and the relative maximum and minimum of given functions. They identify continuous functions and illustrate their graphs of functions. This three-page worksheet...
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Worksheet
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Worksheet 10: Differentiation

For Students 12th - Higher Ed
In this differentiation worksheet, students differentiate functions, sketch graphs of functions, determine the area of inscribed polygons, and use the Mean Value Theorem for functions and intervals. This four-page worksheet contains...
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Worksheet
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Worksheet 17: Writing Equations

For Students 10th - Higher Ed
In this equations worksheet, students graph the curve represented by pairs of parametric equations. They determine the slope of the line tangent to a given graph. Students find the area region lying under the curve. This two-page...
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Worksheet
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Implicit Differentiation

For Students Higher Ed
In this implicit differentiation worksheet, students use the chain rule to solve for the derivative. The find the equation for the tangent line at a given point and determine if the line is vertical. This two-page worksheet contains...
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Worksheet
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Supplemental Trig Problems

For Students 11th - Higher Ed
In this supplemental trigonometry instructional activity, learners determine the indicated limit, identify the tangent for an increasing function, find the relative and absolute extremes and write the formula for an equation and slope of...
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Worksheet
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Worksheet 6: Derivative & Slope

For Students Higher Ed
In this derivative and slope activity, students find the derivative of given equations. They identify the slope of a line tangent to a graph and find the concavity of a graph. This one-page activity contains seven multi-step problems.
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Worksheet
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Math 155 - Fall 2005 Differentiation

For Students Higher Ed
For 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.
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Worksheet
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Math 155 - Worksheet 7. Function

For Students Higher Ed
In this function learning exercise, 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 learning exercise contains six problems.
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Worksheet
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Math 155 - Worksheet 4. Limits

For Students Higher Ed
In 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.
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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.
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Worksheet
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Inverse Trigonometry

For Students 11th - Higher Ed
In this math worksheet, students graph each function while focusing upon finding the domain and range of each one. They also find the exact values using sine, cosine, and tangent.
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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.
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Lesson Plan
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Right Triangle Geometry

For Teachers 9th - 11th
Students study the basic principles of right triangle geometry needed to solve for unknown values of a right triangle. They apply and master the principles of right triangle geometry by solving problems.
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Worksheet
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Precalculus Test 3 (4.4-4.5)

For Students 10th - 12th
For this precalculus test, students select the best answer from 8 multiple choice problems. They solve 4 short answer problems and graph one cycle of each of four equations.
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Worksheet
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Geometry Worksheet: Area (6)

For Students 10th
In this geometry learning exercise, 10th graders express the area of the ring between two concentric circles in terms of the length of a segment tangent to the smaller circle.  The one page learning exercise contains a drawing of and an...
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Worksheet
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Trigonometry Worksheet: Double Angle Formula (1)

For Students 11th - 12th
Students use the double angle formula to solve one problem. They are given the problem: if sin(a)=3/5, and a is an acute angle, use the double angle formula to find exact values of given sin, cosign, and tangent within the quadrant of...
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Worksheet
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Circle Proofs

For Students 10th
In this circle proofs instructional activity, 10th graders complete 4 different problems that include circle proofs. They respond to each of the questions that deal with circle proofs. Then, students read the given information and use...
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Lesson Plan
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Integrals with Odd Powers of Secant and Tangent

For Teachers 11th - 12th
Students discuss what integrals can be taken that involve secants and tangents. They use a list of ten samples, and discuss each of them. Students use trig substitution using trig identities (tan^2+1=sec^2x and tan^2x=sec^2x-1). They...
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Lesson Plan
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Rates Of Change

For Teachers 9th - 12th
High schoolers 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...
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Lesson Plan
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Math- A Level Differentiated Lesson

For Teachers 9th - 12th
Students investigate the gradient function of a polynomial and they conduct a class discussion about its meaning. Then students use graphing software in order to examine tangents that can be seen visually to aid those who need visual...