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Unit Plan
Mathematics Vision Project

Module 6: Modeling Periodic Behavior

For Students 10th - 12th Standards
Around and around we go ... again, and again, and again, and again! That's the nature of a periodic function. Young scholars learn how to model a periodic pattern with trigonometric functions. The nine-lesson unit explores the connection...
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Worksheet
Curated OER

Cosine

For Students 10th
In this cosine instructional activity, 10th graders solve 10 different problems that include various triangles. They determine the cosine of one point in each triangle illustrated. Then, they apply the line segments given to each and...
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Worksheet
Curated OER

Calculus Worksheet

For Students 12th - Higher Ed
In this calculus worksheet, learners solve 10 different problems that include determining the first derivative in each. First, they apply properties of logarithmic functions to expand the right side of each equation. Then, students...
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Interactive
CK-12 Foundation

Horizontal Translations or Phase Shifts: Sine

For Students 10th - 12th Standards
Shift a trigonometric function and find its new equation. Pupils translate a sine function on a graph. The scholars determine the equation of the function that represents the translated graph and observe the connection between a...
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Lesson Plan
Curated OER

Some More Trigonometry

For Teachers 9th - 10th
Students define the law of cosine and its correct usage. In this trigonometry lesson, students define the law of Heron's area formula and use it to solve problems. They review other trigonometric values and identify the identities.
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Lesson Plan
Curated OER

Creating a Mathematical Model Using Weather Data

For Teachers 8th - 11th
Students explore the concept of mathematical models. In this mathematical model lesson, students create a mathematical model from data from 4 cities over 15 months. Students are told they are working for a weather station. Students...
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Worksheet
Curated OER

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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Worksheet
Curated OER

Trigonometry Ratios in Right Triangles

For Students 10th
For 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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Lesson Plan
Curated OER

Quadrantal Angles

For Teachers 10th - 12th
In this quadrantal angle worksheet, students determine the six trigonometric for each quadrant angle. This one-page worksheet contains 36 problems, with answers printed at the bottom of the page.
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Interactive
CK-12 Foundation

Tangent Graphs: Slope and Angle

For Students 10th - 12th Standards
Learning about tangents doesn't have to be a slippery slope. Pupils drag a point around a unit circle to see how angle affects the slope of a line. They individually answer a set of challenge questions to come to the conclusion that...
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Interactive
CK-12 Foundation

Fundamental Trigonometric Identities: Tangent Identity

For Students 10th - 12th
An identity that thieves can't steal  the tangent identity. Scholars manipulate ratios to investigate the tangent ratio and connect it to the sine and cosine ratios. An interactive that uses color coding helps with this task.
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Interactive
Curated OER

Using Law of Sines and Law of Cosines

For Students 12th
In this trig worksheet, 12th graders, students rewrite angles using the law of sine and cosine. They find each missing angle of a triangle. There are 8 questions on this chart.
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Lesson Plan
Curated OER

Algebra And Trigonometry - Week 3: Law of Sines

For Teachers 12th - Higher Ed
For this law of sines worksheet, students read story problems. They use both algebra and the law of sines and cosines to solve problems. This two page worksheet contains seven problems.
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Worksheet
Curated OER

Angle Sum and Difference

For Students 11th
In this angle sum and difference activity, 11th graders solve 10 different problems related to determining the angle sum and difference of numbers. First, they determine the exact value of sine and cosine degrees. Then, students utilize...
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Worksheet
Curated OER

Missing Angles

For Students 10th - 11th
In this missing angle worksheet, students use trigonometry ratios to determine the measurement of a missing angle. Students identify sine, cosine and tangent ratios. This one-page worksheet contains ten problems.
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Worksheet
Curated OER

Area of Triangle Using Trigonometry

For Students 10th - 12th
In this trigonometry activity, students determine the area of triangles using the trigonometry ratios of sine, cosine, and tangent. This one-page activity contains ten problems.
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Worksheet
Curated OER

Trig Twisters

For Students 9th - 11th
In this trig activity, students use the law of sines, cosine, and tangent to solve problems. They work with a partner to find the measurement of angles to the nearest degree and the product of sines. This two-page activity contains 18...
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Worksheet
Curated OER

End of Trig

For Students 12th - Higher Ed
In this end of trig learning exercise, students solve and complete 18 different problems. First, they solve each equation by comparing each set of terms. Then, students determine the sine, cosine and tangent for each problem shown.
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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

Trigonometry Worksheet: Verify Identities (2)

For Students 10th - 12th
In this sine and cosine identities activity, learners verify the identities of two problems.
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Worksheet
Curated OER

Math Worksheet: Geometry Problem (3)

For Students 9th - 11th
In this geometry worksheet, students find the missing side of a triangle within a triangle. Students use sine and cosine relationships as well as the Pythagorean Theorem.
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Worksheet
Curated OER

Overview Worksheet

For Students 10th - 11th
In this worksheet, students solve 5 multi-step problems involving sine, cosine, velocity, inflection and constants.
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Worksheet
Curated OER

Review of Trigonometry

For Students 9th - 11th
In this review of trigonometry learning exercise, students determine the values of angels using sine, cosine, and tangent.  They determine arc length and find the coordinates of endpoints.  This two-page learning exercise contains...
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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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