Worksheet
Curated OER

Trigonometry: Labeling, Formulas, Solving

For Students 11th - 12th
In this math worksheet, students label sides of right triangles as opposite, hypotenuse, and adjacent to the labeled angle. On the second page of the worksheet, students label the part of the right triangle marked with a question mark...
Activity
101 Questions

Lost in the City with a Clinometer

For Students 9th - 12th Standards
Come look at trigonometry from a different angle. To begin a simple activity, scholars view a video of someone using a clinometer to find the angle of elevation to the top of a building. They then use a diagram that shows the building's...
Worksheet
Yummy Math

Parametric Equations and a Heart

For Students 8th - 12th Standards
Trigonometry, art, and Valentine's Day come together in a creative activity about parametric equations. Learners calculate several equations before graphing them either by hand, on a graphic calculator, or Excel spreadsheet to curve...
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...
Lesson Plan
Illustrative Mathematics

Two Wheels and a Belt

For Teachers 9th - 10th Standards
Geometry gets an engineering treatment in an exercise involving a belt wrapped around two wheels of different dimensions. Along with the wheels, this belt problem connects concepts of right triangles, tangent lines, arc length, and...
Unit Plan
Radford University

Right Triangle Applications: Lessons 1 and 2

For Students 9th - 12th Standards
Use right triangles for more than just mathematical problems. The first two lessons of a unit ask pupils determine distances between cities by using the Pythagorean Theorem and a map. To cement understanding, learners use trigonometric...
Performance
Radford University

Pirate Attack

For Teachers 9th - 12th Standards
Arr ye matey, it's time for some trig. Learners first read up on the 2010 attack on the USS Nicholas by a group of pirates and the testimony of one of the witnesses. They use right triangle trigonometry to determine if the account is...
Instructional Video10:36
2
2
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....
Interactive
CK-12 Foundation

Basic Trigonometric Functions: Ladder Length

For Students 9th - 12th Standards
Climb the ladder to trigonometry. The interactive introduces trigonometric ratios and finding lengths of sides of right triangles created by a ladder and a building. Learners use the interactive to create triangles by moving the top of...
Performance
Radford University

Trouble in the Orchard

For Teachers 9th - 12th Standards
It's no fun catching a fungus. Scholars first investigate how the seasons affect the angle of the sun and the lengths of shadows. They then apply right triangle trigonometry to determine the height of trees based on their shadows to...
Interactive
CK-12 Foundation

Sine, Cosine, and Tangent Functions: Lighthouse

For Students 9th - 12th Standards
How far is that boat from the lighthouse? Scholars create diagrams to represent a scenario given the angle of depreciation from a lighthouse to a boat. Learners apply the basic trigonometric functions to find various distances...
Interactive
CK-12 Foundation

Secant, Cosecant, and Cotangent Functions: Hold the Ladder!

For Students 9th - 12th Standards
Determine the length of a falling ladder. Pupils use an interactive to find the angle a ladder makes with the floor after it falls to answer questions. The scholars use the triangle formed in the interactive to determine values of...
Interactive
CK-12 Foundation

Law of Cosines: Get on Base

For Students 10th - 12th
Baseball is all about math. Young baseball and mathematics enthusiasts determine the distance between players on a baseball field using the Law of Cosines. An interactive helps them find relevant distances and angles to use in their...
Interactive
CK-12 Foundation

Law of Cosines: Building a Zip Line

For Students 10th - 12th
Zip this resource into your lesson plans. Here is an interactive that shows how angles and lengths change based on conditions for a zip line. Scholars use the Law of Cosines to solve problems in this context.
Lesson Plan
K20 LEARN

ADA Accessibility: Inverse Trigonometric Functions

For Teachers 11th - 12th Standards
Ramp up using trigonometric ratios. After receiving a request to check school ramps to verify they meet ADA requirements, groups calculate the angle of the incline on ramps on campus. They report their findings via a letter to the...
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...
Worksheet
Curated OER

Trigonometric Functions

For Students 11th
In this trigonometric functions activity, 11th graders solve 10 different problems that include applying various trigonometric functions in each. First, they determine the nearest degree that contains the measure of an acute angle formed...
Worksheet
Curated OER

Trigonometric Word Problems

For Students 10th
In this trigonometric word problems worksheet, 10th graders solve 16 different problems that include various trigonometric situations. First, they determine at what angle a ladder makes with the ground. Then, students determine the...
Worksheet
Curated OER

Cosine

For Students 10th
In this cosine worksheet, 10th graders solve 10 different problems that include various measures of angles. They determine the value of x in each problem using the cosine of the given angle. Then, students substitute the answer they...
Lesson Plan
1
1
West Contra Costa Unified School District

What Is a Radian?

For Teachers 9th - 12th Standards
Here's an algebra II activity that strives to make the concept of a radian less abstract and more conceptual. It takes a hands-on approach to exploring the idea of a radian and allows individuals to develop a definition of a...
Worksheet
1
1
Curated OER

Trigonometry and the Calculator

For Students 10th
For this geometry worksheet, 10th graders use a graphing calculator to evaluate trigonometric functions and their inverses. The four page worksheet contains explanation, examples, and twenty questions. Answers are not...
Interactive
Curated OER

Method for Remembering the Coordinates of the Points in the First Quadrant on the Unit Circle

For Students 11th - Higher Ed
In this Unit Circle worksheet, students explore a method to help remember the coordinates of the points in the first quadrant on the unit circle.  Answers are provided as well as a completed unit circle.
Lesson Plan
Curated OER

Trigonometric Ratios

For Teachers 10th - 12th
Students measure and analyze angles. In this trigonometry lesson, students measure angles and distances use non-traditional techniques. They identify the different ratios of sine, cosine and tangent.
Worksheet
Curated OER

Triangle Exercises

For Students 9th - Higher Ed
In this math worksheet, students look for the solutions to the various problems involving triangles. They focus upon finding the angles and lengths of sides.

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