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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

Modeling with Inverse Trigonometric Functions 1

For Teachers 11th - 12th Standards
Where should I stand to get the best view? Pupils use inverse trigonometric functions to determine the horizontal distance from an object to get the best view. They round out the lesson plan by interpreting their answers within context.
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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 stemming...
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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...
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Interactive
CK-12 Foundation

Pythagorean Theorem for Solving Right Triangles: Solving the Triangle

For Students 9th - 12th Standards
Observe the change in the trigonometric ratios as angles vary. An interactive provides the values of trigonometric ratios for both acute angles in a right triangle. Pupils create a right triangle to match given criteria and find the...
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Interactive
CK-12 Foundation

Angles of Elevation and Depression: Fly-By Calibration

For Students 9th - 12th Standards
Determine the distance between two trees from afar. Pupils use an interactive resource to create two right triangles using trees and a plane. They determine the horizontal legs of each triangle to find the distance between the two trees.
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Interactive
CK-12 Foundation

Right Triangles, Bearings, and Other Applications: Sailing Race

For Students 9th - 12th Standards
Help your class get their bearings when it comes to right triangles. Pupils determine distances traveled or components given the bearing of a sailboat using an interactive. The scholars develop a sense of finding the bearings of a given...
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Interactive
CK-12 Foundation

Length of a Chord: Distance Across a Ferris Wheel

For Students 9th - 12th Standards
An interactive presents two friends on a ferris wheel with the task of finding the distance between the them. Pupils create the chord between the two friends and calculate its lengths using trigonometric ratios.
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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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Interactive
CK-12 Foundation

Law of Cosines: Baseball Diamond

For Students 10th - 12th
Catch a great resource! Individuals use an interactive that allows them to move players on a baseball field. They calculate distances between players using the Law of Cosines.
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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...
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Interactive
CK-12 Foundation

Ambiguous Case: Furniture Store Problems

For Students 10th - 12th
Remove any ambiguity about using a helpful resource. Individuals use an interactive to find the number of triangles that fit given conditions. They find that some conditions can result in more than one triangle in the ambiguous case.
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Interactive
CK-12 Foundation

Determination of Unknown Triangle Measures Given Area: Jib Sheets

For Students 10th - 12th Standards
Solving triangles is a breeze. Young boat enthusiasts solve problems involving triangles in the context of sails on a boat. They must apply different strategies, including the Law of Cosines and area formulas.
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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.
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Interactive
CK-12 Foundation

Law of Cosines: Angles in the Outfield

For Students 10th - 12th
Take me out to the trig class. Individuals use an interactive to see how angles on a baseball field change as the position of two runners change. A set of challenge questions has them apply the Law of Cosines to solve problems.
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Interactive
CK-12 Foundation

Angle-Angle-Side Triangles: Garden Gate

For Students 10th - 12th Standards
Good fences make good gardens. Individuals use an interactive to see how angles and sides relate in a triangular-shaped garden fence. They apply the Law of Sines to find the length of the garden gate (third side of triangle) given two...
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Interactive
CK-12 Foundation

Possible Triangles with Side-Side-Angle

For Students 10th - 12th
It's not often that math allows for multiple answers. Young mathematicians identify possible numbers of triangles when given two sides and a non-included angle. An interactive helps with this investigation.
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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...
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Instructional Video20:40
2
2
Flipped Math

Modeling with Trig Functions

For Students 9th - 12th Standards
Find out what to do with Ferris wheels that keep going up and down. Individuals learn how to determine the frequency of a trigonometric function. Pupils use their knowledge of trigonometric functions to model periodic motions like Ferris...
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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....
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Instructional Video7:06
2
2
Flipped Math

Unit 7 Review: Right Triangles

For Students 9th - 12th Standards
It is all right to spend some time with a review. After watching a short review video covering the materials from the unit, pupils work through 23 review problems. Scholars work on problems involving the Pythagorean Theorem and its...
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Instructional Video20:08
2
2
Flipped Math

Trig Ratios

For Students 9th - 12th Standards
Take ratios of sides to a new level. Pupils learn the definitions of the three basic trigonometric ratios in right triangles. Using the definitions, scholars find missing lengths in right triangles, based on a known angle. Individuals...
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Instructional Video15:48
2
2
Flipped Math

Sectors and Segments

For Students 9th - 12th Standards
It's a piece of pizza! Pupils learn about a sector of a circle as a slice of the circle and determine how to find its area. Scholars continue to find out how to calculate the segment of a circle based on the sector's area. At the end,...

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