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Worksheet
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Curated OER

Exercise Set 4.3: Unit Circle Trigonometry

For Students 9th - 12th
For this unit circle worksheet, students answer 90 short answer questions about the unit circle.  Students sketch angles given a radian measure.  Students find the trigonometric values of various angles on the unit circle.
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Worksheet
Curated OER

Triangle and Circle Trigonometry

For Students 11th - 12th
In this Pre-calculus/Trigonometry worksheet, students apply advanced triangle and circle trigonometry to solve application problems. The three page worksheet contains sixteen problems. Answers are not included.
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Worksheet
Curated OER

Circular Trigonometric Functions

For Students 11th - 12th
In this Pre-calculus/Trigonometry worksheet, students prove trigonometric identities and find all values that satisfy the equations of circular trigonometric functions. The four page worksheet contains twenty-four problems. Answers are...
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Interactive
Curated OER

Method for Remembering the Coordinates of the Points in the First Quadrant on the Unit Circle

For Students 11th - Higher Ed
In this Unit Circle worksheet, students explore a method to help remember the coordinates of the points in the first quadrant on the unit circle.  Answers are provided as well as a completed unit circle.
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Worksheet
Curated OER

Easy Worksheet: Right Triangles and Circles

For Students 9th - 12th
In this right triangles and circles worksheet, students solve 4 short answer problems. Students describe a right triangle formed by point on a circle and an angle measure.
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Assessment
Concord Consortium

Circumscribed Polygon

For Students 11th - 12th Standards
Trigonometry teachers often go off on a tangent, and here's a activity that proves it! First, young mathematicians use a formula with tangent to prove a formula correct for area. Then, they draw conclusions about the area of a circle...
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Worksheet
Curated OER

Circular Trigonometric Functions

For Students 11th - 12th
For this Pre-calculus/Trigonometry worksheet, students estimate the amplitude, period, and horizontal and vertical translations of a graph and find a rule that models the data. The three page worksheet contains fourteen problems. Answers...
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Worksheet
Curated OER

Circular Trigonometric Functions

For Students 11th - 12th
For this trigonometry/Algebra II worksheet, students use convert between radian and degree measure, find the value of trigonometric functions, and show that given relationships are true. The three page worksheet contains seventeen...
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Assessment
Concord Consortium

Line of Sight

For Students 10th - 12th Standards
There's no way around it—learners must use trigonometry to model the line of sight around a race track! Using the starting line as the origin, pupils model the straight line distance to any car using a trigonometric expression. The...
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Worksheet
Center for Innovation in Mathematics Teaching

Trigonometry

For Students 9th - 12th Standards
This unit covers the basic trigonometry including understanding radians, how to convert between radians and degrees, the area of a circle subtended by an angle, basic properties and graphs of sine, cosine, tangent, and solving...
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Worksheet
Curated OER

A Different Proof of the Law of Cosines

For Students 9th - 12th
In this proofs worksheet, students construct 1 proof of the law of cosines.  Students construct a right triangle within a circle to  prove the law of cosines.
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Worksheet
Curated OER

Ratios Involving the Hypotenuse

For Students 10th
In this trigonometry worksheet, 10th graders calculate the ratios as it relates to the hypotenuse of the triangle. They find the missing leg, angle or hypotenuse. There are 6 questions with this worksheet.
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Assessment
Mathematics Assessment Project

Hopewell Geometry

For Students 8th - 10th Standards
Right triangles from 2,000 years ago? Learners investigate different right triangles found in the earthworks of the Hopewell people, a Native American culture that populated the United States from 200BC to AD 500. Learners apply concepts...
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Worksheet
Curated OER

Angles and Angle Measure

For Students 10th - 12th
In this trigonometry worksheet, students convert between degrees and radians. They use the unit circle to identify the measure of angles. There are 28 questions with an answer key.
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Worksheet
Curated OER

Trigonometric Table

For Students 11th
In this trigonometry worksheet, 11th graders convert between degrees and radians using a conversion chart. They use the unit circle to help visualize the relationship between radians and degrees. There is an answer key.
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Worksheet
Curated OER

Ten Trigonometric Review Problems - Calculator Required

For Students 11th - Higher Ed
In this trigonometry review worksheet, students convert between radians and degrees, sketch angles, evaluate trig. functions, solve for missing angles, and find the functions that satisfy the given conditions.
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Lesson Plan
Curated OER

Exercise Set 5.1: Trigonometric Functions of Real Numbers

For Teachers 10th - 12th
In this trig functions worksheet, students find the trig values of 46 problems.  Students find the trig values of various radian measures.  Students use trig properties to prove trig identities.
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Worksheet
Curated OER

Solve for the Arc Length Problems

For Students 11th - Higher Ed
In this arc length worksheet, students solve for the arc length for four angles.  Three of the angles are given in degrees while the other angle length is given in radians.  The solutions are not provided.
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Lesson Plan
EngageNY

Ptolemy's Theorem

For Teachers 9th - 12th Standards
Everyone's heard of Pythagoras, but who's Ptolemy? Learners test Ptolemy's Theorem using a specific cyclic quadrilateral and a ruler in the 22nd installment of a 23-part module. They then work through a proof of the theorem.
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Worksheet
Curated OER

Relationship between tangent, secant side length

For Students 10th - 12th
In this calculus worksheet, students calculate the relationship between a line of tangency and a secant side length. They are given the formulas to solve their problems. There are 9 problems.
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Assessment
CCSS Math Activities

Satellite

For Students 9th - 12th Standards
This isn't rocket science, you know. A performance task has learners use right triangle trigonometry to calculate distances from stations on Earth to a satellite. It also requires finding the distance between two stations along the...
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Worksheet
Curated OER

Investigating Transformations

For Students 11th - 12th
In this trigonometry worksheet, students investigate the transformations that can occur to the basic trigonometric functions. The thirteen page worksheet contains explanation, examples, and forty-seven questions. Answers are not included.
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Worksheet
Curated OER

Trigonometric Functions

For Students 11th - 12th
In this trigonometric functions worksheet, students solve and complete 35 various type of problems. First, they find the values for all six trig functions that pass through the given points. Then, students prove different identities as...
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Lesson Plan
EngageNY

Cyclic Quadrilaterals

For Teachers 9th - 12th Standards
What does it mean for a quadrilateral to be cyclic? Mathematicians first learn what it means for a quadrilateral to be cyclic. They then investigate angle measures and area in such a quadrilateral.

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