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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(41)

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
(5)

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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(6)

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)

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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(13)

Resources
(18)

### 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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(7)

Resources
(29)

### 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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(20)

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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(11)

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:

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(5)

Resources
(10)

Reflections
(1)

### 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)

### 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)

### 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)

### 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)

### 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)

Common Core Math

### Kindergarten

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### HS Geometry

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### Fifth grade

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Kindergarten

First Grade

Second Grade

Third Grade

Fourth Grade

Fifth Grade

Sixth Grade

Seventh Grade

HS Number & Quantity

HS Algebra

HS Functions

HS Geometry

Kindergarten

First Grade

Second Grade

Third Grade

Fourth Grade

Fifth Grade

Sixth Grade

Seventh Grade

Eighth Grade

Ninth and Tenth Grade

Kindergarten

First grade

Second grade

Third Grade

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