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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...
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Worksheet
Curated OER

Missing Angles

For Students 10th - 11th
For 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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Lesson Plan
Curated OER

Basic Trigonometric Ratios

For Teachers 11th - 12th
In this trigonometric ratio worksheet, pupils determine the length of a side of a right triangle, or the measurement of angles using trigonometric ratios. This one-page worksheet contains 24 problems. Answers are provided at the bottom...
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Worksheet
Curated OER

Similar Polygons

For Students 10th
In this similar polygons worksheet, 10th graders solve 10 different problems that include determining various similar polygons. First, they determine the perimeter of a second triangle given the measures of all angles in the first. Then,...
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Worksheet
Curated OER

Trigonometry

For Students 10th
In this geometry worksheet, 10th graders solve problems that are based on the right triangle trigonometry and the special right triangles. The three page worksheet contains twelve questions.  Answers are not included. 
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Organizer
Curated OER

Year 10 Trigonometry Ch. 14 Answer Sheet

For Students 11th - Higher Ed
In this math worksheet, students find the solutions for the trigonometry problems. They label the hypotenuse, adjacent, and opposite sides. The calculations are done using sine, cosine, and tangent.
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Lesson Plan
Curated OER

Amazing Consistent Ratios

For Teachers 7th - 9th
Students derive the six trigonometric identities. In this trigonometry lesson, students find the ratios of sine, cosine and tangent using the right triangle. They use properties of the Pythagorean Theorem to find the trig identities.
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Lesson Plan
Curated OER

Why We Study Trigonometry

For Teachers 10th - 11th
Students investigate the different properties of trigonometry. In this precalculus lesson, students find the six different identities of trigonometric ratios. They relate the ratios to that of a right triangle and apply it to real life...
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Worksheet
Curated OER

Trigonometric Functions

For Students 11th
In this trigonometric functions worksheet, 11th graders solve and complete 10 different problems. First, they perform the indicated operations and simplify each function. Then, students find the ratio of the area of the shaded region to...
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Worksheet
Curated OER

Trigonometry

For Students 11th - 12th
In this trigonometry worksheet, learners find the missing angles for given triangles. They use the trigonometric ratios to solve the problems.
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Worksheet
Curated OER

Finding Trigonometric Ratios

For Students 11th
In this finding trigonometric ratios activity, 11th graders solve and complete 22 various types of problems. First, they find the value of each trigonometric ratio to the nearest ten-thousandth. Then, students use a calculator to find...
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Worksheet
Curated OER

Similar Right Triangles-Introductions to Trigonometry

For Students 9th - 10th
In this geometry worksheet, students examine similar right triangles as the basis for the foundation of trigonometry. Students define the basic trigonometric functions and use a calculator to find the trigonometric value of an angle. The...
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Lesson Plan
Curated OER

Introducing Trigonometry

For Teachers 11th
Eleventh graders explore the three basic trigonometric functions. In this trigonometry/Algebra II lesson, 11th graders use GeoGebra and the unit circle to define the ratios of sides is a right triangles as they examine the full domain...
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Lesson Plan
EngageNY

An Area Formula for Triangles

For Teachers 11th - 12th Standards
Use a triangle area formula that works when the height is unknown. The eighth installment in a 16-part series on trigonometry revisits the trigonometric triangle area formula that previously was shown to work with the acute triangles....
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Lesson Plan
Curated OER

Trigonometry

For Teachers 10th - 12th
Students investigate angles converting them from radians to degrees. In this trigonometry lesson, students work with angles and the six different trig ratios. They graph the functions representing each trig functions and identify the...
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Lesson Plan
Curated OER

Indirect Measurement, Surveying Trigonometry

For Teachers 9th - 10th
Students measure distances using indirect measurements. In this geometry lesson, students apply proportion and ratios to measure heights of different objects. They differentiate between direct and indirect measurements.
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Lesson Plan
Curated OER

Introduction to Trigonometry

For Teachers 10th - 12th
Learners identify the six trigonometric ratios and properties. In this trig lesson, students define basic trig functions as it relates to solving right triangles. They identify the equation for sine as o/h and cosine as a/h and tangent...
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Worksheet
Curated OER

Trigonometry

For Students 10th - 12th
In this right triangles learning exercise, students use trigonometric ratios to determine the length of a side of a triangle or a missing angle measurement.  This two-page learning exercise contains 20 problems.
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Worksheet
Curated OER

Trigonometry Puzzle

For Students 8th - 12th
In this trigonometry learning exercise, students solve for the degree or the ratio in 48 questions using the 6 basic trigonometric functions. 
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Lesson Plan
Curated OER

Does Your Field Measure Up

For Teachers 9th - 11th
Young scholars measure angles using a plane table kit. In this geometry lesson, students use trigonometric identities to find the values of the length of a football field.
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Lesson Plan
EngageNY

Unknown Angles

For Students 9th - 10th Standards
How do you solve an equation like trigonometry? Learners apply their understanding of trigonometric ratios to find unknown angles in right triangles. They learn the meaning of arcsine, arccosine, and arctangent. Problems include basic...
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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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Activity
Illustrative Mathematics

Satellite

For Teachers 9th - 11th Standards
Learners practice relating rules of trigonometry and properties of circles. With a few simplifying assumptions such as a perfectly round earth, young mathematicians calculate the lengths of various paths between satellite and stations....
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Interactive
CK-12 Foundation

Double Angle Identities: Ferris Wheel

For Students 10th - 12th
Use a Ferris wheel to soar to new heights of understanding on double angle identities. Here is an interactive that applies an example of a Ferris wheel to show how doubling the angle does not double the value of a trigonometric ratio....

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