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Printables
Chapman University

A Pythagorean-Style Proof of the Sine Sum-of-Angles Formula

For Teachers 10th - 12th
This well organized poster shows a step-by-step algebraic proof and related graphic. Understanding how formulas were derived, connects learners to the idea that the study of mathematics is continuous and cumulative. Learners will also...
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Handout
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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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Worksheet
Curated OER

Trigonometry for AC Circuits

For Students Higher Ed
In this physics worksheet, students solve 23 trigonometry based problems. Students apply the Pythagorean Theorem in electricity calculations.
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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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Lesson Plan
Curated OER

Trigonometry - Week 9

For Teachers 10th - 12th
In this trigonometry worksheet, learners use the sum-to-product formula, and the law of sines and cosines to solve trigonometry problems. This two-page worksheet contains eight problems.
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Lesson Plan
EngageNY

Cyclic Quadrilaterals

For Teachers 9th - 12th Standards
What does it mean for a quadrilateral to be cyclic? Mathematicians first learn what it means for a quadrilateral to be cyclic. They then investigate angle measures and area in such a quadrilateral.
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Lesson Plan
EngageNY

Addition and Subtraction Formulas 2

For Teachers 11th - 12th Standards
Knowing the addition formulas allows for the calculations of double and half formulas. The fourth installment of 16 has the class use the addition formula to develop the double angle trigonometric formulas. Using the double formula,...
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Lesson Plan
EngageNY

Addition and Subtraction Formulas 1

For Teachers 11th - 12th Standards
Show budding mathematicans how to find the sine of pi over 12. The third lesson in a series of 16 introduces the addition and subtraction formulas for trigonometric functions. Class members derive the formulas using the distance formula...
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Lesson Plan
EngageNY

Putting the Law of Cosines and the Law of Sines to Use

For Teachers 11th - 12th Standards
Use the Law of Cosines and the Law of Sines to solve problems using the sums of vectors. Pupils work on several different types of real-world problems that can be modeled using triangles with three known measurements. In the process,...
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Worksheet
Curated OER

Algebra and Trigonometry - Week 3: Story Problems

For Students 11th - Higher Ed
In this story problem learning exercise, 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 learning exercise contains...
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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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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...
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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

Using the Law of Sines and the Law of Cosines to Solve Triangles

For Students 10th - 12th
In this trigonometry worksheet, students apply the Law of Sines and Cosines to solving for missing sides of a triangle. There are 5 questions with an answer key.
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Lesson Plan
Curated OER

Algebra 2/Trigonometry Regents Exam

For Teachers 11th - 12th
Students review for the Regents Exam. In this math lesson plan, students review core concept for the Regents exam by working a variety of problems. A printable worksheet is provided.
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Lesson Plan
Curated OER

Vector Lab

For Teachers 10th - 12th
Here is a math lab that helps young mathematicians understand the real-life meaning for vector addition. By building a model using spring scales and washers as weight, and then calculating the vector addition using two different methods,...
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Lesson Plan
Curated OER

The Distance to an Unapproachable Point

For Teachers 8th - 11th
Students use geometry or trigonometry to measure the distance of a far off point. They verify their measurements using a tape measure to check their work.
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Worksheet
Curated OER

The Isosceles Triangle Problem

For Students 10th
In this geometry worksheet, 10th graders solve a problem involving an isosceles triangle.  The problem appears to be deceptively easy, but instead requires the use of trigonometry to arrive at a correct solution.  The one page worksheet...
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Worksheet
Curated OER

Magic Square Trig Identities

For Students 12th
In this trig worksheet, 12th graders review their trig identities using a table. They answer questions 1-16 as given clues to find the answer to the correct identity.
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Lesson Plan
Curated OER

Triangle Inequality Theorem

For Teachers 8th - 10th
Students use the inequality theorem to solve triangles and their properties. In this geometry lesson, students are given spaghetti of different lengths and asked to create triangles. They conclude the necessary length needed to make a...
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Lesson Plan
Curated OER

Understanding Fundamental Trigonometric Identities

For Teachers 9th - 12th
Young scholars are introduced to the basic trigonometric identities. Using a diagram, they discover why the parts of the unit circle as named as they are and use equations to finalize the Pythagorean trigonometric identities. They also...