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Lesson Plan
EngageNY

Law of Cosines

For Teachers 11th - 12th Standards
Build upon the Pythagorean Theorem with the Law of Cosines. The 10th part of a 16-part series introduces the Law of Cosines. Class members use the the geometric representation of the Pythagorean Theorem to develop a proof of the Law of...
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Lesson Plan
Curated OER

Trigonometry

For Teachers 8th
Eighth graders practice calculating the unknown length of a right angle triangle. They also examine the pythogoram theory in groups. They help each other work through the problems.
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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.
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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

The Law of Sines

For Teachers 11th - 12th
Learners define the laws of sine as it relates to a right triangle. In this trigonometry lesson, students identify the properties of sine to help then find mixing sides of a right triangle. They also solve for the missing angles.
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Lesson Plan
Curated OER

Geometry Exploration Basic Trig Functions

For Teachers 10th
Tenth graders solve for missing sides on a triangle using the Pythagorean Theorem. In this geometry lesson, 10th graders are introduced to basic trigonometry functions as they solve problems of right triangles. They discuss the formulas...
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Lesson Plan
Curated OER

Sine

For Teachers 10th - 12th
In this sine worksheet, students use the trigonometry equation to find the sine of triangles. Students solve the sine for 10 triangle problems.
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Lesson Plan
Curated OER

Law of Sines

For Teachers 9th - 12th
Students identify the ratios of a right triangle. In this calculus lesson plan, students use the law of sines to solve problems involving non-right triangles. They identify the different parts of a triangle.
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Lesson Plan
Curated OER

Intro to Trigonometry

For Teachers 6th - 8th
After being introduced to the basic trigonometry functions, middle schoolers calculate the height of school landmarks. They experiment with different angles to find the correct height.
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Lesson Plan
Curated OER

Law of Cosines Practice

For Teachers 8th - 10th
Students practice solving problems with non-right triangles. In this precalculus instructional activity, students define and identify the properties of the Law of Cosine. They solve problems and investigate the history behind Cosine.
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Lesson Plan
Curated OER

Trigonometry in Action

For Teachers 9th - 12th
Students examine how to apply the principles of trigonometry in authentic measurement situations. They work in groups to determine the height of an object such as a flag pole by determine the angle from their position to the top.
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Lesson Plan
Curated OER

Using Trigonometry

For Teachers 5th
Fifth graders explore the use of trigonometry to find unknown sides and angles in right-angled triangles, taking the concepts that were developed in the previous unit and looking at different ways of practicing the new skills. Students...
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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...
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Lesson Plan
Curated OER

ndirect Measurement Technique: Using Trigonometric Ratios

For Teachers 9th
Ninth graders find the height of an object that would be difficult or impossible to measure directly. They construct and use a Clinometer to measure the angle of elevation (or depression). Students create a sketch of the measurement...
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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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Lesson Plan
Curated OER

Pythagorean Theorem

For Teachers 9th - 11th
Students solve problems using the Pythagorean Theorem. In this geometry lesson, students identify the sides and angles of a right triangle. They find the different trigonometric ratios and solve using sine, cosine and tangent.
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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 instructional activity, 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

Law of Cosines

For Teachers 7th - 9th
Young scholars model scenarios using functions and their properties. For this trigonometry lesson, students calculate the angles of sine, cosine and tangent. They perform operation using a calculator.
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Lesson Plan
Curated OER

Exploring Trigonometric Ratios

For Teachers 9th - 10th
Learners 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.
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Lesson Plan
Curated OER

The Laws of Sines and Cosines Made Simple!

For Teachers 10th - 12th
Students explore the concept of law of sines and cosines. In this law of sines and cosines lesson, students construct a triangle tool from card stock and markers. Students use their triangle tool to aid in solving problems involving...
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Lesson Plan
Curated OER

Trigonometric Ratios

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

Investigating the Idea of Sin

For Teachers 5th
Fifth graders use sin to solve problems involving right-angled triangles, Solve equations of the form sin(++) = a, for a between -180++ and 360++. They State and graph the value of sin(++) in special cases. They describe some of the ways...
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Lesson Plan
Curated OER

Whatcha Gunna Do When the Hulkster's Measuring Too??

For Teachers 8th - 10th
Students measure using tools they have made. For this algebra lesson, students measure the height and distance using non-traditional measuring methods. They apply their findings to algebra and trigonometry properties of measurements.
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Lesson Plan
Curated OER

The Corner Problem

For Teachers 11th - Higher Ed
Students explore the concept of the corner problem. In this corner problem lesson, students use the TI-NSpire to determine the maximum length a rod can be and still pass horizontally around a corner. Students use similar triangles to...