Worksheet
Curated OER

Trigonometric Ratios

For Students 10th - 12th
In this trigonometric ratios learning exercise, students determine the value of trigonometric ratios.  They find the area of triangles, determine the length of one side, and compute the degrees in an angle.  This five-page...
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.
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...
Lesson Plan
Curated OER

Unit Circle and Triangle

For Teachers 9th - 11th
Students apply the Unit Circle to solve ratios of triangles. In this geometry lesson, students derive the different ratios of a triangle using the Pythagorean Theorem. They find the angles of a unit circle using a right triangle.
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.
Worksheet
Curated OER

Precalculus Test Sections 5.1 - 5.2

For Students 10th - 12th
In this section worksheet, learners simplify given addition and division problems containing ratios with sine, cosine, and tangent.  They factor problems and prove identities.  This two-page worksheet contains 12 problems.
Lesson Plan
Curated OER

Hunter Fred's Quest for Dinner

For Teachers 9th - 12th Standards
Learners solve problems using trigonometric functions, specifically a problem about a tree stand. Pupils try to maximize the distance of hunting sight given certain restrictions. They use the Pythagorean Theorem, sine, cosine, and...
Worksheet
Curated OER

6.5 Skill Builder: Trigonometric Identities

For Students 9th - 12th
In this trigonometric identities worksheet, students solve 16 multi-part short answer problems. Students use the quotient identity and Pythagorean identity to simplify trigonometric expressions. Students factor trigonometric expressions.
Lesson Plan
Curated OER

Does Your Field Measure Up

For Teachers 9th - 11th
Students 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.
Worksheet
Curated OER

Mnemonics to Remember Your Trig Ratios

For Students 10th - 12th
In this calculus learning exercise, students review mnemonic rhymes to help them remember the different ratios of sine, cosine and tangent. They are funny and memorable for any grade level.
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.
Lesson Plan
Curated OER

Exploring Trigonometric Ratios

For Teachers 9th - 10th
Students identify the ratios of trig functions. In this trigonometry lesson, students construct triangles and use it to derive the values of sine, cosine and tangent. They use Cabri software to create the visual of the identities.
Worksheet
Curated OER

Area of Triangle Using Trigonometry

For Students 10th - 12th
In this trigonometry learning exercise, students determine the area of triangles using the trigonometry ratios of sine, cosine, and tangent. This one-page learning exercise contains ten problems.
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...
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...
Worksheet
Curated OER

Tangent

For Students 10th
In this tangent worksheet, 10th graders solve 10 different problems that include various tangent lines. They find the value of x using the tangent of each given angle of various triangles illustrated. Then, students identify and define...
Lesson Plan
Curated OER

Trig is SOH Easy!

For Teachers 7th - 10th
Students derive the six trigonometric identities. In this trigonometry lesson, students review the parts of a right triangle and use the Pythagorean theorem as a guide to find the trig identities. They find sine, cosine and tangent ratios.
Unit Plan
Mathematics Vision Project

Module 6: Trigonometric Functions

For Students 9th - 12th Standards
Create trigonometric functions from circles. The first lesson of the module begins by finding coordinates along a circular path created by a Ferris Wheel. As the lessons progress, pupils graph trigonometric functions and relate them to...
Lesson Plan
Curated OER

Investigating Trigonometric Ratios Through Similar Right Triangles.

For Teachers 8th - 10th
49Young scholars investigate the properties of right triangles. In this geometry lesson, students differentiate between similar and congruent triangles. They use the Pythagorean Theorem to find the missing angles and sides.
Lesson Plan
Curated OER

Investigating Trigonometric Ratios Through Similar Right Triangles

For Teachers 9th - 10th
Students identify similar and congruent right triangles. In this geometry activity, students use trigonometric ratios to identify missing sides and angles of a triangle. They differentiate similar and congruent triangles.
Worksheet
Curated OER

Trigonometry

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

Unit Circle Triangle

For Teachers 11th - 12th
Students find the different ratios of a right triangle. In this geometry lesson, students apply the concept of the Pythagorean theorem as they identify the different angles and parts of a Unit Circle. They find the ratios of sine,...
Lesson Plan
Curated OER

Exploring Trigonometric Ratios

For Teachers 10th - 12th
Students calculate the different ratios using a right triangle. In this trigonometry lesson, students identify the sine, cosine and tangent of each side. They find the missing angles using the different ratios.
Lesson Plan
Curated OER

The Right Stuff

For Teachers 7th - 9th
Studentsare introduced to the Pythagorean Theorem by exploring right triangles and the squares built on each side. They apply the Pythagorean Theorem to real-world problems. Students u se informal and nonformal arguments of proof (i.e.,...