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Cells - Overview & Introduction

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EngageNY

#### EngageNY Geometry Module 2: Similarity, Proof, and Trigonometry

The Geometry Module 2: Similarity, Proof, and Trigonometry collection includes 36 lessons that are divided into five topics: Scale Drawings, Dilations, Similarity and Dilations, Applying Similarity to Right Triangles, and Trigonometry....

Lesson Planet

#### Applications of Trigonometric Functions

Using trigonometric ratios to solve geometry and application problems is the focus of this detailed problem set and solution presentation. The presentation covers many ways to use trigonometry, from finding missing measures in right...

Lesson Planet

#### Trig Cheat Sheet

Your pre-calculus learners will make use of this wonderful cheat sheet that summarizes all things trigonometric. Definitions based on both the unit circle and the right triangle are included, as well as many convenient trigonometric...

Lesson Planet

#### Measuring Elevation Past and Present

After viewing a short video about a climb up Mount Everest, high schoolers read about triangulation for measuring distant elevations. Have your class work in groups to construct an inclinometer and then use it to measure the height of...

Lesson Planet

#### Mt. Whitney to Death Valley

This is an intriguing problem that brings together real-world data, technology, and mathematical problem solving. If visibility wasn't an issue, could you see from the highest point in the lower 48 states, Mt. Whitney, to the lowest...

Lesson Planet

#### Trigonometry Introduction

Don't go off on a tangent. An instructive video describes how to find the sine, cosine, and tangent ratios of an angle in a right angle. It describes how to label the sides of a right triangle and how to use mnemonics to remember the...

Lesson Planet

#### Module 4: Similarity and Right Triangle Trigonometry

Right you are to use a great resource. Starting with a lesson on dilations, scholars learn about similarity transformations and similar triangles. They use the knowledge to develop an understanding of right triangle trigonometry in later...

Lesson Planet

#### Smarter Balanced Sample Items: High School Math – Target O

Trigger an increased understanding of trigonometry. Young mathematicians answer a set of questions that require finding trigonometric ratios using similarity and solving real-world problems involving trigonometry. The questions all come...

Lesson Planet

#### Sacre Coeur Funicular

Rise to the challenge of trigonometry. Watching a video of an ascending funicular at the Sacre Coeur in Paris sets the stage for a challenging task. Young mathematicians use a given diagram, along with the concepts of slope and...

Lesson Planet

#### Lost in the City with a Clinometer

Come look at trigonometry from a different angle. To begin a simple activity, scholars view a video of someone using a clinometer to find the angle of elevation to the top of a building. They then use a diagram that shows the building's...

Lesson Planet

#### The Cosine Ratio

Help your classes understand the relationship between trigonometric ratios and similarity. A set of questions ask scholars to consider the ratio of sides of similar figures. They conclude that all similar triangles must have the same...

Lesson Planet

#### Trigonometric Ratios: A Geometer's Perspective

What do all right triangles have in common? Young mathematicians investigate the trigonometric ratios in relation to right triangles. Their investigations lead to a hypothesis they use to determine unknown lengths in different triangles.

Lesson Planet

#### ADA Accessibility

Ramp up using trigonometric ratios. After receiving a request to check school ramps to verify they meet ADA requirements, groups calculate the angle of the incline on ramps on campus. They report their findings via a letter to the...

Lesson Planet

#### The Trigonometric Ratios: Lesson

SOH, what is this thing called trigonometric ratios? A section of an extensive playlist on geometry identifies the adjacent and opposite sides in relationship of an angle. Using the identified sides, the video defines the sine, cosine,...

Lesson Planet

#### Parametric Equations and a Heart

Trigonometry, art, and Valentine's Day come together in a creative activity about parametric equations. Learners calculate several equations before graphing them either by hand, on a graphic calculator, or Excel spreadsheet to curve...

Lesson Planet

#### The Sine of 57

What does the sine of every 57-degree angle have in common? A series of questions helps build the understanding of similarity in relation to the sine ratio. Ultimately, scholars realize that all 57-degree angles have the same sine value.

Lesson Planet

#### Discovering Trigonometric Ratios

Are there equivalent ratios in right triangles? The discovery lesson has the class find the ratios of sides of right triangles with equivalent angle measurements. Using these ratios, pupils discover that particular ones are the same,...

Lesson Planet

#### Intro to Trigonometric Ratios

Finding trigonometric ratios is relatively easy; you just have to know where to look. The first installment of a 16-part video playlist shows how to find the sine, cosine, and tangent values for a given angle. It shows how to find the...

Lesson Planet

#### Introduction to SOHCAHTOA

You might not be able to pronounce it, but everyone remembers SOHCAHTOA. Young mathematicians learn a way to remember the three major trigonometric ratios. They see how the first letters of certain words lead to the mnemonic.

Lesson Planet

#### Special Triangle Ratios: Special Right Triangle Ratios

Go from one side length to any other side length with special right triangles. Individuals use the interactive to investigate the ratio of sides in 45-45 and 30-60 right triangles. Scholars make generalizations about the types of special...

Lesson Planet

#### Secant, Cosecant, and Cotangent Functions: Hold the Ladder!

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...

Lesson Planet

#### Sine, Cosine, and Tangent Functions: Lighthouse

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...

Lesson Planet

#### Basic Trigonometric Functions: Ladder Length

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 Planet

#### Relationships of Sides in 30-60-90 Right Triangles: Truck on a Mountain Road

Determine the change in elevation on a mountain road. Individuals use the interactive to simulate a truck driving up a mountain road with a 30-degree incline. They determine missing sides of a 30-60 right triangle to find horizontal and...