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...
Lesson Plan
Curated OER

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
Curated OER

Trigonometric Graphing

For Teachers 9th - 12th
Students analyze graphs. In this trigonometric lesson, students identify the different graphs of sine, cosine and tangent. They graph the inverse of those trig values and identify their properties such as phase shift and period.
Worksheet
Curated OER

Calculus Worksheet

For Students 12th - Higher Ed
For this calculus worksheet, students 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...
Lesson Plan
Curated OER

Worksheet 12: Functions

For Teachers 11th - Higher Ed
In this math worksheet, students are given 7 problems in which they differentiate, figure rate of change, determine value, and prove formulas.
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...
Lesson Plan
Curated OER

Journey of the Nez Perce

For Teachers 10th - 12th
Young scholars study the retreat of the Nez Perce Native Americans into Montana while tracing their journey on a map. They use the law of cosines to solve problems based on the navigational methods of the Nez Perce. They work with both...
Worksheet
Curated OER

MT-A141 PreCalculus: Worksheet 6.5/6.6

For Students 10th - 11th
In this precalculus instructional activity, learners investigate functions and determine which functions are sinusoids. They estimate the amplitude, phase shift, and period of each function. Students explore the sums of sine and cosine...
Worksheet
Curated OER

PreCalculus: Final Examination

For Students 10th - 12th
In this final examination worksheet, students find the tangent function and sine function.  They graph problems on a polar coordinate.  Students describe trigonometric properties.  This twelve-page worksheet contains 80...
Lesson Plan
Curated OER

Some More Trigonometry

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

Algebra and Trigonometry - Week 3: Story Problems

For Students 11th - Higher Ed
In this story problem worksheet, students read story problems, write equations, and solve. They use the law of sines, the law of cosines, the distance formula, and rates to solve problems. This two-page worksheet contains seven story...
Lesson Plan
Curated OER

Sin, Cos and Tangent

For Teachers 9th - 10th
Students find the identity o sine, cosine and tangent. In this precalculus activity, students solve and identify the different parts of a right triangle. They use the ratios of the Pythagorean Theorem to find the missing side or angle.
Lesson Plan
Curated OER

Trig Review

For Teachers 12th
Twelfth graders review the 6 identities of trigonometry. In this trig lesson, 12th graders review the importance of the right triangle as it relates to sine, cosine and tangent. They review the basic trig identities and how it relates to...
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.
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...
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.
Interactive
Curated OER

Using Law of Sines and Law of Cosines

For Students 12th
In this trig instructional activity, 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.
Worksheet
Curated OER

Angle Sum and Difference

For Students 11th
In this angle sum and difference worksheet, 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...
Worksheet
Curated OER

Trigonometry Worksheet: Verify Identities (2)

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

Math Worksheet: Geometry Problem (3)

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

Reference Angles and Triangles

For Students 10th
In this angles and triangles activity, 10th graders solve 10 different problems that relate to various types of reference angles and triangles. First, they determine the value of sine equal to a number of degrees. Then, students write...
Worksheet
Curated OER

Pythagorean Identities

For Students 11th
For this Pythagorean identities worksheet, 11th graders solve 10 different problems that include applying various Pythagorean identities in each. First, they determine the values of tangent, secant, cosecant, and cosine given the other...
Lesson Plan
Curated OER

Law of Sines Question and Answer day

For Teachers 10th - 11th
Students investigate the correct use of the law of sines and cosines. In this precalculus lesson, students ask questions about their problems on solving these trigonometry problems. They spend the class period reviewing important...
Handout
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Chapman University

Graphs of the Sine and Cosine Function in Degrees

For Teachers 10th - 12th
This bright, clear, graphic, display of the sin(x) and cos(x) functions spans the domain between -360 degrees and 360 degree. Use it as a poster, handout, presentation slide, or project it onto a whiteboard. 

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