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Interactive
CK-12 Foundation

Reciprocal Identities

For Students 10th - 12th Standards
Get a better understanding of the trigonometric functions by taking a look at the flip side. Pupils create angles within a unit circle and compare the values of the standard trigonometric functions to their reciprocal functions. The...
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Lesson Plan
Curated OER

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.
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Worksheet
Curated OER

Review 13.1-13.2: Unit Circle

For Students 10th - 12th
In this unit circle worksheet, students 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

Trigonometric Functions

For Students 11th
In this trigonometric functions activity, 11th graders solve 10 different problems that include applying various trigonometric functions in each. First, they determine the nearest degree that contains the measure of an acute angle formed...
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Worksheet
Curated OER

Trigonometric Equations

For Students 11th
In this trigonometric equations worksheet, 11th graders solve 10 different problems that include trigonometric functions. First, they order the equation in terms of one equation and one angle. Then, students write the equation as one...
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Worksheet
Curated OER

Easy Worksheet: Trigonometry

For Students 9th - 12th
In this trigonometry worksheet, students solve 4 short answer problems. Students find the secant, cosine, or tangent of the given angle shown in the diagram.
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Worksheet
Curated OER

Circles Terminology Multiple Choice

For Students 9th - 12th
In this circles worksheet, students solve 10 multiple choice problems. Students answer questions about diameter and chord relationships, tangent lines to a circle, circumference, the Pi relationship, etc.
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Worksheet
Curated OER

Review Quiz before Mini-Exam

For Students 9th - 12th
In this pre-calculus review worksheet, high schoolers solve 28 multiple choice problems. Students find the trigonometric values of various angles, find the eccentricity of an ellipse, use trigonometric identities solve compounded...
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Worksheet
Curated OER

MT-A141 PreCalculus: Worksheet 6.2/6.3

For Students 10th - 11th
In this precalculus instructional activity, students use their graphing calculator to determine the coordinates for given functions. They determine the values for cosine, sign, tangent, and secant of given equations. Given an angle of...
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Worksheet
2
2
Mt. San Antonio Collage

Graphing Trigonometric Functions

For Students 9th - 12th Standards
Double win with a comprehensive worksheet and an excellent worked out answer key. The worksheet itself is twelve pages and begins with the simple sine and cosine graphs, then, develops into the reciprocal trig functions. 
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Assessment
EngageNY

Algebra II Module 2: Mid-Module Assessment

For Students 10th - 12th Standards
Time for classes to show what they've learned. Use several tasks to assess understanding of the trigonometric functions, unit circle, radians, and basic trigonometric identities.
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Worksheet
Curated OER

Precalculus Exam

For Students 11th - 12th
In this precalc lesson, learners write out definitions, identify functions, solve integrals and derivatives and graph trig functions as they relate to angles. This is a final exam for precalculus. There are 80 questions on this exam.
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Lesson Plan
Curated OER

Arc Length Lesson

For Teachers 9th - 11th
Students find the length of the arc of a circle. In this geometry instructional activity, students calculate the length of an arc and find the measure of the central angle given the length of the arc. They convert between linear and...
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Worksheet
Curated OER

Further Trigonometry

For Students 11th - Higher Ed
In this trigonometry worksheet, students solve for trigonometric functions. They convert between radians and angles using the properties of sine, cosine and tangent. There are 30 problems on this handout.
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Worksheet
Curated OER

Easy Worksheet: Trigonometry

For Students 9th - 12th
In this trigonometry worksheet, learners solve 4 short answer problems. Students find the sine, cosecant, secant or cotangent of an angle given a diagram of a right triangle with various measurements labeled.
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Assessment
EngageNY

Geometry Module 5: End-of-Module Assessment

For Teachers 9th - 12th Standards
The lessons are complete. Learners take an end-of-module assessment in the last installment of a 23-part module. Questions contain multiple parts, each assessing different aspects of the module.
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Lesson Plan
Curated OER

Solving Intercepted Arcs

For Teachers 9th - 11th
Students investigate circles and its arcs. In this geometry lesson, students identify the relationship between an circle and its intercepted arcs. THey identify the central and inscribed angles.
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Lesson Plan
Curated OER

Measuring the Earth

For Teachers 10th - 11th
Students identify types of arcs and angles in a circle, find the measure of arcs and angles, and solve real world problems involving lengths of segments in circles, lengths, and areas.
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Lesson Plan
Curated OER

Circle Packing

For Teachers 9th - 10th
Students identify different parts and properties of circles. In this geometry lesson, students identify the radius, diameter, semicircle and inscribed angle of a circle. They identify the tangent lines to a circle.
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Lesson Plan
Curated OER

Math: Tangents

For Teachers 9th - 10th
Students discover how to recognize tangents and how to use their properties. They investigate and use the properties of angles, arcs, chords, tangents, and secants. Students use two tangents and the properties of similar triangles to...
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Lesson Plan
Curated OER

Math: Arcs and Chords

For Teachers 9th - 10th
Students draw diagrams demonstrating how it is possible to two central angles to be congruent and their minor arcs are not congruent. In groups, they illustrate theorems with their constructed circles, create diameters of circles that...
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Handout
1
1
Curated OER

Math Handbook: Trigonometry

For Students 9th - 12th Standards
You'll be spinning in unit circles once you read through this jumbo-sized resource of everything you need to know about trigonometry. Each page has color-coded examples with explicit directions that detail the problems and formulas. 
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Lesson Plan
Virginia Department of Education

Arc Length and Area of a Sector

For Teachers 9th - 11th Standards
What do skateboarding and baked goods have in common with math? You can use them to connect half-pipe ramps and cakes to arcs and sectors. Pupils compare the lengths of three different ramp options of a skate park. They calculate the...
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Lesson Plan
EngageNY

Why Call It Tangent?

For Students 10th - 12th Standards
Discover the relationship between tangent lines and the tangent function. Class members develop the idea of the tangent function using the unit circle. They create tables of values and explore the domain, range, and end behavior of the...