Lesson Plan
Curated OER

Unit Circle and Triangle

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

Trigonometric Functions

For Students 11th - 12th
In this trigonometric functions worksheet, learners solve and complete 35 various type of problems. First, they find the values for all six trig functions that pass through the given points. Then, students prove different identities as...
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

Exercise Set 5.1: Trigonometric Functions of Real Numbers

For Teachers 10th - 12th
In this trig functions worksheet, students find the trig values of 46 problems.  Students find the trig values of various radian measures.  Students use trig properties to prove trig identities.
Lesson Plan
Curated OER

Trig functions and Triangles

For Teachers 7th - 9th
Here is a basic plan for the beginning teacher to use for introducing the class to the right triangle trigonometric functions. It outlines the lesson objectives, class procedures, and basic instructional techniques that could be...
Lesson Plan
Curated OER

Right Triangles and The Pythagorean Theorem

For Teachers 8th - 9th
Learners play a game to reinforce concepts of the Pythagorean Theorem. In this geometry lesson, students find the missing angle and lengths of a right triangle. They use properties of trigonometry about sine, cosine and tangent to solve...
Worksheet
Curated OER

Magic Square Trig Identities

For Students 12th
In this trig learning exercise, 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.
Interactive
Curated OER

Law of Sines or Sine Rule

For Students 9th - 12th
In this online math learning exercise, students construct triangles and squares by utilizing the sine rule. This excellent resource allows the students to check their answers, and to get "hints" should they run into difficulties. A...
Lesson Plan
Curated OER

Law of Sines

For Teachers 9th - 12th
Students identify the ratios of a right triangle. In this calculus instructional activity, students use the law of sines to solve problems involving non-right triangles. They identify the different parts of a triangle.
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 Centers of Triangles

For Teachers 7th - 10th
Students explore properties of triangles using angle bisectors, incenters, circles, midpoints, and altitudes. They use Geometer's Sketchpad in order to create triangles and their properties.
Lesson Plan
Curated OER

Simply Similar at Sea: Simple Triangles

For Teachers 10th
Tenth graders answer a variety of problems based on similar triangle and learn about the rule of thumb. They will test the rule of thumb by estimating the distance to an object in the classroom.
Lesson Plan
Curated OER

Distance And Parallax

For Teachers 9th - 12th
High schoolers will determine distances to nearby stars using parallax. In this Astronomy lesson plan, students will use a web program, trigonometry, and sketches to determine the distance of stars.
Lesson Plan
Curated OER

Math: Investigating Triangles

For Teachers 10th
Tenth graders identify the trigonometric ratios for right angled triangles. Through independent investigation, they discover the constancy between the ratios of any two sides of similar triangles. In an alternative method, 10th graders...
Worksheet
Curated OER

Triangle Exercises

For Students 6th - 8th
In this math worksheet, students determine the name for each triangle according to its classification. Then they create a truss construction model.
Worksheet
Curated OER

Degrees Of A Circle Exercises

For Students 6th - 8th
In this math worksheet, students examine the fractional parts in order to determine the degree equivalent within a circle. Then they do the same using drawn circles.
Lesson Plan
Space Awareness

Navigating with the Kamal

For Teachers 8th - 11th Standards
Historians have proven that as early as 1497 skilled navigators were using a kamal to sail across oceans. Scholars learn about navigation tools and astronomy before building their own kamals. They then learn how to use it to determine...
Assessment
EngageNY

End-of-Module Assessment Task - Geometry (module 2)

For Students 9th - 10th Standards
Increase the level of assessment rigor with the test of performance tasks. Topics include similar triangles, trigonometric ratios, Law of Sines, Law of Cosines, and trigonometric problem solving. 
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...
Activity
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Illustrative Mathematics

Converse of the Pythagorean Theorem

For Teachers 7th - 9th Standards
Use the given tasks and detailed teacher's commentary to introduce your 8th graders to the Pythagorean theorem and its converse. Embedded links to information about Egyptian geometry make your presentation interesting. Consider...
Lesson Plan
Teach Engineering

Designing a Spectroscopy Mission

For Teachers 9th - 12th Standards
For this mind-bending activity, young engineers explore this question of whether or not light actually bends. Using holographic diffraction gratings, groups design and build a spectrograph. The groups then move on research a problem...
Activity
Teach Engineering

Stay in Shape

For Teachers 7th - 9th Standards
Using their knowledge of right triangles, pupils find out how far a ship is from a light house. Class members determine how far around the world a ship would be sailing at a constant speed.
Lesson Plan
EngageNY

Informal Proof of the Pythagorean Theorem

For Students 8th Standards
Prove the Pythagorean Theorem using multiple informal proofs. Scholars first develop an understanding of the origins of the Pythagorean Theorem through proofs. They round out the lesson by using the theorem to find missing side lengths...

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