Assessment
Illustrative Mathematics

Coordinates of Equilateral Triangles

For Students 9th - 12th Standards
Can it be constructed? The task poses the question whether it is possible to have an equilateral triangle with its vertices located at integer coordinates. Pupils work with their knowledge of trigonometric ratios and the Pythagorean...
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...
Lesson Plan
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Worksheet 31 - Doman & Range

For Teachers Higher Ed
In this function worksheet, students determine the domain and range of given functions. They use trigonometric ratios to determine if a statement is true or false. Students differentiate equations. In this one-page worksheet, students...
Lesson Plan
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Investigating Trigonometric Ratios Through Similar Right Triangles.

For Teachers 8th - 10th
49Young scholars investigate the properties of right triangles. In this geometry lesson, students differentiate between similar and congruent triangles. They use the Pythagorean Theorem to find the missing angles and sides.
Worksheet
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Graphing

For Students 11th - 12th
In this graphing instructional activity, students solve and complete 8 different types of problems. First, they graph each set of axes completely. Then, students label the axes and shown a table of their results. In addition, they...
Worksheet
Curated OER

Law of Sines

For Students 10th - 12th
In this Law of Sines worksheet, students use trigonometric ratios to determine angle measurement and/or the length of the side of a triangle. This one-page worksheet contains ten trigonometric ratio problems.
Worksheet
Curated OER

Math Honors 2: Trigonometry Review Questions

For Students 11th - 12th
In this Algebra II/Trigonometry worksheet, students solve problems involving angle of depression or elevation, evaluate trigonometric expressions, solve trigonometric equations, and graph trigonometric functions. The one page worksheet...
Worksheet
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Modelling Periodic Phenomena

For Students 11th - 12th
In this Pre-calculus/Trigonometry instructional activity, students determine the trigonometric function that best models the given data. The eight page instructional activity contains explanation, examples, and twenty-one problems....
Organizer
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Year 10 Trigonometry

For Students 11th - Higher Ed
In this math worksheet, students complete the graphic organizers while filling in the missing values by using the trigonometric ratios.
Worksheet
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Quiz: Angles in Circles - Angles Outside the Circle

For Students 10th - 11th
In this angles in circles worksheet, students explore angles outside a circle. Using given trigonometric ratios, they find the missing angle measurement or the length of a line. This one-page worksheet contains ten problems.
Worksheet
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Using a Calculator (Sine, Cosine, Tangent)

For Students 10th - 11th
In this calculator worksheet, students use a calculator to solve given trigonometric ratios. They determine the sine, cosine and tangent of expressions. This one-page worksheet contains ten problems.
Worksheet
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Trigonometry Worksheet: Trigonmetric Equations (2)

For Students 10th - 11th
In this trigonometry equations worksheet, students solve trigonometric equations containing secants.  This one-page worksheet contains one problem.  Answers are provided.
Lesson Plan
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Limits of Trigonometric Functions

For Teachers 11th - 12th
Students define limits as it related to trig functions. In this trigonometry lesson, students take the derivatives of trig through specific patterns. They apply the formula for these special functions of sine, cos and tan in real world...
Lesson Plan
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Trigonometric Functions of Acute Right Triangles

For Teachers 9th - 11th
Students derive the six trigonometric functions. In this trigonometry lesson, students show their understanding of trigonometric functions as they relate the right triangles. They find the missing angles and side use trig ratios of sine,...
Lesson Plan
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Applying Trigonometric Functions To Real Life

For Teachers 9th - 11th
Students examine where trigonometry exists outside the classroom. In this trigonometry lesson, students create trigonometric functions to match the data provided and to solve word problems relating to the real world.
Lesson Plan
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Trig River

For Teachers 6th - 8th
Middle schoolers calcute distances using trigonometry and angle measurements. They estimate the width of the Trig River, measure it and compare their results with their classmates. They collaborate with a group to research and find the...
Worksheet
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Solving Trigonometric Equations

For Students 11th - Higher Ed
In this trigonometry worksheet, learners solve one trig equation.  Students should have knowledge of trig identities.
Worksheet
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Evaluate Integrals

For Students 12th - Higher Ed
In this evaluating integrals worksheet, students solve and complete 12 various types of problems. First, they use the trigonometric identity to rewrite each integral. Then, students use integral formulas for sine function. They also...
Worksheet
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Easy Worksheet: Limits

For Students 11th - 12th
For this limits worksheet, students solve 4 short answer problems. Students find the limits of trig, linear, root, and rational functions as x approaches a specified value.
Worksheet
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Challenge Discussion Sheet 2

For Students Higher Ed
In this function worksheet, students write a function for the volume of a cube, determine limits using trigonometric functions, sketch graphs, and use the Intermediate Value Theorem to prove solutions of problems. this one-page...
Interactive
CK-12 Foundation

Horizontal Translations or Phase Shifts: Tangent

For Students 10th - 12th Standards
Patterns can be shifty! Find the pattern when shifting the graph of tangent. Pupils move the graph of tangent to different locations on the coordinate plane. They observe what happens to the function and its vertical asymptotes...
Interactive
CK-12 Foundation

Vertical Translations: Vertical Shift of Sinusoidal Functions

For Students 10th - 12th Standards
Create a shift in TV viewing habits. The interactive presents a cosine model of an individual's TV viewing habits during a year. Class members move the model to reflect given conditions. Finally, they determine key features from the...
Worksheet
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Worksheet 4 - Math 126: Sketching Polar Equations

For Students 9th - 12th
In this sketching polar equations worksheet, students solve 5 short answer and graphing problems. Students describe a curve given the equation of the curve in polar form. Students sketch a graph of the equation.
Worksheet
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Differentiating Special Functions

For Students 11th - 12th
In this differentiating special functions worksheet, students solve and complete 5 various types of problems. First, they differentiate each of the given functions. Then, students complete the table using a calculator and plot the points...

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