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Lesson Plan
Curated OER

Reference Angles

For Teachers 9th - 12th Standards
Learn how to measure the reference angles in degrees and radians.  Students find reference angles that are coterminal with a given angle.
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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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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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Unit Plan
Mathematics Vision Project

Module 5: Circles A Geometric Perspective

For Teachers 9th - 12th Standards
Circles, circles, everywhere! Pupils learn all about circles, central angles, inscribed angles, circle theorems, arc length, area of sectors, and radian measure using a set of 12 lessons. They then discover volume formulas through...
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Worksheet
Curated OER

Review 13.1-13.2: Unit Circle

For Students 10th - 12th
In this unit circle worksheet, learners find the sine, cosine, tangent, cotangent, and co-secant of given values. They determine the exact value of trigonometric ratios. Students convert from degrees to radians. This two-page worksheet...
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Worksheet
Curated OER

Sixteen Angle Pre-calculus Trig Problems

For Students 11th - Higher Ed
In this angle worksheet, students solve ten multiple choice and six free response questions.  These precalculus questions cover angles, radians, and right triangles.
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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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Worksheet
Curated OER

Trigonometry: Circles and Angles

For Students 11th - Higher Ed
In this circle and angel worksheet, students identify angles that correspond to a point on the unit circle. They give their solution in both degrees and radians. This two-page worksheet contains 20 problems.
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Worksheet
Curated OER

Unit Circle & Trig Functions

For Students 10th - 12th
In this trig functions worksheet, students determine the exact value of given trigonometric functions. They label degrees, radians and coordinates of given points on a circle. This two-page worksheet contains approximately 20 multi-step...
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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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App
Carstens Studios

Math Doodles

For Students 2nd - 9th Standards
Discover the joy and excitement of improving your math fluency through four different puzzles. Combine those with 25 different ways to represent numbers and you have hours of enjoyment that can be fun outside of the classroom as well.
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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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Activity
Teach Engineering

Stay in Shape

For Teachers 7th - 9th Standards
Using their knowledge of right triangles, pupils find out how far a ship is from a light house. Class members determine how far around the world a ship would be sailing at a constant speed.
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Lesson Plan
EngageNY

Addition and Subtraction Formulas 1

For Teachers 11th - 12th Standards
Show budding mathematicans how to find the sine of pi over 12. The third lesson in a series of 16 introduces the addition and subtraction formulas for trigonometric functions. Class members derive the formulas using the distance formula...
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Lesson Plan
Curated OER

Length of an Arc and Area of a Sector

For Teachers 10th
In this length of an arc and area of a sector worksheet, 10th graders solve and complete 12 different types of problems. First, they find the length of an arc in a circle with a given radius and central angle measure. Then, students find...
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Worksheet
Curated OER

Further Trigonometry

For Students 11th - 12th
For this trigonometry worksheet, students solve and complete 5 various types of problems. First, they find the exact ratios for each trigonometric function. Then, students use the expansion to find the exact value of a given trig...
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Printables
Embedded Math

The Unit Circle

For Teachers 10th - 12th Standards
You and your learners will enjoy having a nicely organized, typed up unit circle, all filled in with degrees and radians as well as cartesian coordinates. 
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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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Worksheet
Curated OER

How Fast Can You Watch?

For Students 8th - 12th
For this watch worksheet, pupils read story problems and determine the change in the distance with respect to time. They compute the radians per second. This two-page worksheet contains nine multi-step problems.
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Worksheet
Curated OER

Precalculus Test 4 (Sections 4.5-4.7)

For Students 10th - 12th
In this precalculus test, students answer 5 multiple choice, 5 short answer, and six graphing questions.
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Unit Plan
Mathematics Vision Project

Circles: A Geometric Perspective

For Teachers 10th - 12th Standards
Circles are the foundation of many geometric concepts and extensions - a point that is thoroughly driven home in this extensive unit. Fundamental properties of circles are investigated (including sector area, angle measure, and...
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Lesson Plan
EngageNY

Special Triangles and the Unit Circle

For Teachers 11th - 12th Standards
Calculate exact trigonometric values using the angles of special right triangles. Beginning with a review of the unit circle and trigonometric functions, class members use their knowledge of special right triangles to find the value of...
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Lesson Plan
Alabama Learning Exchange

Unit Circle: Special Angles—Just Know One

For Students 9th - 12th Standards
It's all about the patterns! Young scholars learn that the unit circle repeats itself in all four quadrants. Using these patterns, they evaluate the sine, cosine, and tangent of special angles.
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Worksheet
Yummy Math

Parametric Equations and a Heart

For Students 8th - 12th Standards
Trigonometry, art, and Valentine's Day come together in a creative activity about parametric equations. Learners calculate several equations before graphing them either by hand, on a graphic calculator, or Excel spreadsheet to curve...

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