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Worksheet
Curated OER

The Same

For Students Pre-K - K
Match up these silly monsters! There are six of them pictured, and young scholars match them to their identical twins. Encourage kids to explain why they made each match, focusing on specific attributes they noticed. Have them color the...
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Lesson Plan
Curated OER

Trigonometric Identities

For Teachers 10th - 11th
Learners calculate the six trigonometric identities. In this algebra lesson, students verify other identities using the basic trigonometric identities of sine, cosine and tangent. They complete a worksheet with hints and then are graded...
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Lesson Plan
Curated OER

Identical Twins

For Teachers 6th
Sixth graders work with equivalent fractions, decimals, and percents. In this equivalency lesson, 6th graders participate in a number of activities aimed at increasing their understanding of equivalent expressions. They form a human...
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Worksheet
Curated OER

Trigonometric Identities

For Students 11th - 12th
In this trigonometry worksheet, students solve and analyze the reciprocal, quotient, Pythagorean and Cofunction Identities. They also discuss sum and difference identities, double angle and half angle identities.
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Worksheet
Curated OER

Graphing Trig Functions

For Students 9th - 11th
In this graphing trig functions worksheet, learners find the amplitude of each function. They graph the function. This four-page worksheet contains 12 problems. Answers are provided on the last two pages.
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Lesson Plan
Curated OER

Derivatives of the 6 Inverse Trig Functions

For Teachers 11th - 12th
Student list the 6 trig functions and identify their inverse functions. In this trigonometry lesson, students derive the inverse trig functions using the derivative. They solve problems using the inverse functions through substitution.  
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Worksheet
Curated OER

Review of Trig Ratios

For Students 11th - Higher Ed
In this trigonometric ratios worksheet, students solve and complete 10 various types of problems. First, they write the degrees listed in radian measure. Then, students find the exact ratios for each equation. They also find the value of...
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Worksheet
Curated OER

Functions, Domains and Composites

For Students 11th - 12th
In this functions, domains and composites worksheet, students solve and complete 23 various types of problems. First, they graph the given trigonometric function on a coordinate plane. Then, students label three points on each graph and...
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Worksheet
Curated OER

Trigonometric Graphs

For Students 11th
In this trigonometric graphs worksheet, 11th graders solve and complete 16 different problems. First, they determine the period of the given functions. Then, students describe the period, amplitude, and vertical shift of each function....
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Worksheet
Curated OER

Graphing Trig Functions

For Students 11th - 12th
In this trig worksheet, students graph the six trig functions and identify the period of each function. There are 4 questions.
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Worksheet
Curated OER

Trig Cut Ups

For Students 9th - 11th
In this trigonometry learning exercise, students rearrange 16 squares to a form one large square in which all of the trig identities match up. There is an answer key.
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Interactive
CK-12 Foundation

Finding Exact Trigonometric Values Using Double Angle Identities: Trig Values Using Double and Half Angle Formulas

For Students 10th - 12th
The more you know, the more you can learn. Scholars apply the double angle and half angle formulas to determine trig values based on known values. They use an interactive that provides sine and cosine values to aid calculations.
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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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Lesson Plan
EngageNY

Solutions to Polynomial Equations

For Teachers 11th - 12th Standards
Take a step back to Algebra II. The first lesson plan in a series of 23 asks scholars to remember working with quadratic equations with complex solutions. Pupils apply polynomial identities to complex numbers and work examples that show...
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Worksheet
Curated OER

Finding Derivatives of Twenty Trig Functions

For Students 12th - Higher Ed
For this derivatives worksheet, students take the derivative of fifty various trigonometric functions.  These fifty problems vary in difficulty.
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Worksheet
Curated OER

Trigonometry Sum and Difference Identities

For Students 9th - 11th
For this algebra worksheet, students solve a word problem using trigonometric identities. They solve problems about a love triangle. There is an answer key.
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Lesson Plan
Curated OER

Derivatives of the Trig Functions

For Teachers 12th
Twelfth graders analyze the derivatives and use trig functions to practice using the derivative. In this calculus lesson, 12th graders derive the 6 trigonometric functions using the derivative and their properties. They complete practice...
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Lesson Plan
Curated OER

Integration Involving Inverse Trig Functions

For Teachers 12th - Higher Ed
Students review the steps for integration and solve equations using integration by parts. In this calculus lesson, students apply their knowledge of integration to inverse trig function. Students review their trig and inverse trig...
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Interactive
CK-12 Foundation

Pythagorean Theorem for Solving Right Triangles: Solving the Triangle

For Students 9th - 12th Standards
Observe the change in the trigonometric ratios as angles vary. An interactive provides the values of trigonometric ratios for both acute angles in a right triangle. Pupils create a right triangle to match given criteria and find the...
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Interactive
PHET

Trig Tour

For Students 9th - 12th Standards
Unit circles and trigonometric graphs go hand in hand. Pupils see how traversing the unit circle allows for the creation of graphs for trigonometric functions. They also see trigonometric ratios in terms of the ordered pairs of points on...
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Instructional Video10:36
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Flipped Math

Inverse Trig Ratios

For Students 9th - 12th Standards
Put trigonometric ratios into inverse. Scholars learn how to find an unknown angle in a right triangle by using inverse trigonometric ratios. The pupils understand how the inverses undo a trigonometric ratio to provide the angle measure....
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Lesson Plan
Curated OER

Finding the Area of an Equilateral Triangle

For Teachers 9th - 11th Standards
The problem seems simple: find the area of the equilateral triangle whose sides are each length 1. In fact, this same problem is solved in 8th grade, addressing a different Common Core standard, using the formula for area of a triangle...
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Lesson Plan
Project Maths

Introduction to Trigonometry

For Teachers 9th - 12th Standards
The topic of trigonometric ratios is often covered with loads of rote memorization baked into the activity. This activity set, however, leans more on using similar triangles and discovery learning to help young geometers develop a deeper...
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Lesson Plan
EngageNY

Incredibly Useful Ratios

For Students 9th - 10th Standards
Start the exploration of trigonometry off right! Pupils build on their understanding of similarity in this lesson that introduces the three trigonometric ratios. They first learn to identify opposite and adjacent sides before exploring...

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