HSG-SRT.D.10

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- HSG-SRT.D.9(+) Derive the formula A = (1/2)ab sin(C) for the area of a triangle by drawing an auxiliary line from a vertex perpendicular to the opposite side.
- HSG-SRT.D.10(+) Prove the Laws of Sines and Cosines and use them to solve problems.
- HSG-SRT.D.11(+) Understand and apply the Law of Sines and the Law of Cosines to find unknown measurements in right and non-right triangles (e.g., surveying problems, resultant forces).

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## HSG-SRT.D.10

## (+) Prove the Laws of Sines and Cosines and use them to solve problems.

27 Lesson(s)

### Unit Review Game: Categories

12th Grade Math »
Unit: Additional Trigonometry Topics

12th Grade Math »
Unit: Additional Trigonometry Topics

Big Idea:

#### The review game Categories is a fun way to review the Law of Sines, Law of Cosines, vectors, and complex numbers.

Standards:

Favorites
(4)

Resources
(9)

Reflections
(1)

### Formative Assessment: Formulas and Vectors

12th Grade Math »
Unit: Additional Trigonometry Topics

12th Grade Math »
Unit: Additional Trigonometry Topics

Big Idea:

#### Use Math Graffiti to review for today's quiz.

Standards:

Favorites
(1)

Resources
(8)

### Polar Distance Formula

12th Grade Math »
Unit: Parametric Equations and Polar Coordinates

12th Grade Math »
Unit: Parametric Equations and Polar Coordinates

Big Idea:

#### Finding distance in polar form draws on past geometric concepts.

Standards:

Favorites
(1)

Resources
(12)

### Triangles That Are Wrong Because They Are Not Right

12th Grade Math »
Unit: Additional Trigonometry Topics

12th Grade Math »
Unit: Additional Trigonometry Topics

Big Idea:

#### Investigate how to find side lengths and angle measures for non-right triangles.

Standards:

Favorites
(11)

Resources
(12)

Reflections
(1)

### Extra Credit Quiz

12th Grade Math »
Unit: Midterm Review and Exam

12th Grade Math »
Unit: Midterm Review and Exam

Big Idea:

#### Students will have a powerful incentive to see what they remember from the first semester!

Standards:

Resources
(8)

Reflections
(1)

### 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:

Favorites
(5)

Resources
(23)

Reflections
(1)

### Ambiguous Case Day 1 of 2

12th Grade Math »
Unit: Solving Problems Involving Triangles

12th Grade Math »
Unit: Solving Problems Involving Triangles

Big Idea:

#### After analyzing the ambiguous case for oblique triangles students will determine the number of possible solutions and find solutions when possible.

Standards:

Resources
(15)

Reflections
(3)

### Trigonometry from a Geometric Perspective

12th Grade Math »
Unit: Additional Trigonometry Topics

12th Grade Math »
Unit: Additional Trigonometry Topics

Big Idea:

#### Use the Law of Sines, Law of Cosines, SAS Area Formula, and SOH CAH TOA to solve problems involving triangles.

Standards:

Favorites
(2)

Resources
(7)

### Ambiguous Case Day 2 of 2

12th Grade Math »
Unit: Solving Problems Involving Triangles

12th Grade Math »
Unit: Solving Problems Involving Triangles

Big Idea:

#### By analyzing the information given a student can determine the number of possible solutions and find the solutions.

Standards:

Resources
(18)

Reflections
(2)

### 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)

### Trig Jeopardy

12th Grade Math »
Unit: Fundamentals of Trigonometry

12th Grade Math »
Unit: Fundamentals of Trigonometry

Big Idea:

#### Student teams get very competitive as they fight to be the winners of Trig Jeopardy.

Standards:

Favorites
(2)

Resources
(6)

### Law of Sines Basics

12th Grade Math »
Unit: Fundamentals of Trigonometry

12th Grade Math »
Unit: Fundamentals of Trigonometry

Big Idea:

#### This direct instruction lesson introduces basic cases of the Law of Sines.

Standards:

Favorites
(3)

Resources
(13)

### Law of Sines Introduction

12th Grade Math »
Unit: Solving Problems Involving Triangles

12th Grade Math »
Unit: Solving Problems Involving Triangles

Big Idea:

#### Students prove the Law of Sines through a discovery activity.

Standards:

Favorites
(2)

Resources
(24)

Reflections
(3)

### The Law of Sines: More than Meets the Eye

12th Grade Math »
Unit: Additional Trigonometry Topics

12th Grade Math »
Unit: Additional Trigonometry Topics

Big Idea:

#### Using the Law of Sines will throw your students for a loop - there are two possible answers!

Standards:

Favorites
(1)

Resources
(10)

Reflections
(1)

### Ambigouous Cases of the Law of Sines

12th Grade Math »
Unit: Fundamentals of Trigonometry

12th Grade Math »
Unit: Fundamentals of Trigonometry

Big Idea:

#### Students knowledge of the Law of Sines is extended as they study the ambiguous cases.

Standards:

Favorites
(2)

Resources
(8)

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