HSG-SRT.C.6

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- HSG-SRT.C.6Understand that by similarity, side ratios in right triangles are properties of the angles in the triangle, leading to definitions of trigonometric ratios for acute angles.
- HSG-SRT.C.7Explain and use the relationship between the sine and cosine of complementary angles.
- HSG-SRT.C.8Use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems.*

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## HSG-SRT.C.6

## Understand that by similarity, side ratios in right triangles are properties of the angles in the triangle, leading to definitions of trigonometric ratios for acute angles.

29 Lesson(s)

Big Idea:

#### It's trig time! Students will use a hands-on activity to discover ratios in right triangles like sine, cosine and tangent.

Standards:

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(37)

Resources
(13)

### NPR Car Talk Problem - Day 2 of 2

12th Grade Math »
Unit: Trigonometric Functions

12th Grade Math »
Unit: Trigonometric Functions

Big Idea:

#### This problem from NPR's Car Talk is engaging, challenging, and mathematically rich!

Standards:

Favorites
(4)

Resources
(9)

### Final Exam Review Stations (Day 1 of 3)

12th Grade Math »
Unit: Review

12th Grade Math »
Unit: Review

Big Idea:

#### Students review by working through various stations at their own pace and receive immediate feedback on their work.

Standards:

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(5)

Resources
(23)

Reflections
(1)

### Building a Kicker Ramp

Geometry »
Unit: Introduction to Trigonometry

Geometry »
Unit: Introduction to Trigonometry

Big Idea:

#### Students are introduced to trigonometry as they use the properties of similar right triangles to evaluate a design for a skateboard ramp.

Standards:

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(20)

Resources
(26)

### Introduction to Trigonometry Unit Quiz

Geometry »
Unit: Introduction to Trigonometry

Geometry »
Unit: Introduction to Trigonometry

Big Idea:

#### Students complete the summative assessment for the unit and take a pre-test for the next unit.

Standards:

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(6)

Resources
(29)

Big Idea:

#### Special delivery! Students discover ratios of side lengths in special right triangles by constructing squares and equilateral triangles.

Standards:

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(11)

Resources
(18)

### Introduction to Trigonometry

Geometry »
Unit: Right Triangle Trigonometry

Geometry »
Unit: Right Triangle Trigonometry

Big Idea:

#### Students learn about right triangle trigonometry by creating similar triangles and producing their own trig tables.

Standards:

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(19)

Resources
(22)

Reflections
(2)

### Properties of Sine and Cosine

Geometry »
Unit: Introduction to Trigonometry

Geometry »
Unit: Introduction to Trigonometry

Big Idea:

#### Exploring the meaning of sine and cosine as ratios and as relationships. Trigonometry is just similar triangles—but better!

Standards:

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(5)

Resources
(22)

Big Idea:

#### Aiming for perfection with practice, what's your sine? Cosine and tangent too!

Standards:

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(10)

Resources
(13)

### Riding a Ferris Wheel - Day 2 of 2

12th Grade Math »
Unit: Trigonometric Functions

12th Grade Math »
Unit: Trigonometric Functions

Big Idea:

#### Make the transition from the Ferris wheel problem to the unit circle.

Standards:

Favorites
(3)

Resources
(10)

Reflections
(1)

### Trigonometric Functions: Unit Assessment

12th Grade Math »
Unit: Trigonometric Functions

12th Grade Math »
Unit: Trigonometric Functions

Big Idea:

#### Assess your students' understanding of this unit.

Standards:

Resources
(3)

### Intro to Trigonometry / What is Similarity?

12th Grade Math »
Unit: Trigonometry: Triangles

12th Grade Math »
Unit: Trigonometry: Triangles

Big Idea:

#### It all starts with vocabulary! The study of words and how precisely we can use them is one of the key structures introduced as this course begins.

Standards:

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(2)

Resources
(25)

Reflections
(1)

### Finding Angle Measurements Using Trig

Geometry »
Unit: Right Triangle Trigonometry

Geometry »
Unit: Right Triangle Trigonometry

Big Idea:

#### Students put their knowledge of trig to work solving problems and proving hypotheses involving angles.

Standards:

Favorites
(9)

Resources
(17)

Reflections
(1)

### Finishing Up the Similar Triangles Project

12th Grade Math »
Unit: Trigonometry: Triangles

12th Grade Math »
Unit: Trigonometry: Triangles

Big Idea:

#### It's time for students to synthesize what they've learned about the trigonometric ratios, precision, similarity, and patterns. Today's work period gives students a chance to clarify their thinking and to put it in writing.

Standards:

Resources
(14)

### More on Finding Lengths of Segments

Geometry »
Unit: Right Triangle Trigonometry

Geometry »
Unit: Right Triangle Trigonometry

Big Idea:

#### Students continue to apply trig functions, while also learning about the relationship between the sine and cosine of complementary angles.

Standards:

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(8)

Resources
(16)

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HS Algebra

HS Functions

HS Geometry

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