HSG-SRT.D.9

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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.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.

11 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
(7)

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)

### 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)

### Area of Triangles

12th Grade Math »
Unit: Solving Problems Involving Triangles

12th Grade Math »
Unit: Solving Problems Involving Triangles

Big Idea:

#### Why does (1/2)*a*b*sin(C) give the area of a triangle?

Standards:

Favorites
(2)

Resources
(19)

Reflections
(2)

### 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)

### Unit Review: Additional Trigonometry Topics

12th Grade Math »
Unit: Additional Trigonometry Topics

12th Grade Math »
Unit: Additional Trigonometry Topics

Big Idea:

#### Give your students time to grapple with the important concepts of this unit.

Standards:

Favorites
(1)

Resources
(6)

### Solving Triangles Assessment

12th Grade Math »
Unit: Solving Problems Involving Triangles

12th Grade Math »
Unit: Solving Problems Involving Triangles

Big Idea:

#### Students will demonstrate their understanding of Law of Sines, Law of Cosines, and right triangles through an assessment.

Standards:

Favorites
(1)

Resources
(3)

### SAS Area Formula

Geometry »
Unit: Right Triangles and Trigonometry

Geometry »
Unit: Right Triangles and Trigonometry

Big Idea:

#### Batteries not included...but the angle must be. Some assembly required. In this lesson students build a new triangle area formula and learn when and how to apply it.

Standards:

Favorites
(2)

Resources
(10)

Reflections
(2)

### Review of Solving Triangles Day 2 of 2

12th Grade Math »
Unit: Solving Problems Involving Triangles

12th Grade Math »
Unit: Solving Problems Involving Triangles

Big Idea:

#### By sharing individual examples students will review for an assessment on solving problems involving triangles.

Standards:

Resources
(15)

Reflections
(2)

### Review of Solving Triangles Day 1 of 2

12th Grade Math »
Unit: Solving Problems Involving Triangles

12th Grade Math »
Unit: Solving Problems Involving Triangles

Big Idea:

#### By creating problems for others to solve, students will review solving triangles using multiple methods.

Standards:

Resources
(12)

Reflections
(1)

### Review for Trigonometry Unit Assessment

Geometry »
Unit: Triangle Similarity and Trigonometric Ratios

Geometry »
Unit: Triangle Similarity and Trigonometric Ratios

Big Idea:

#### In this review lesson, students will apply their understanding of triangle similarity and trigonometry to write proofs.

Standards:

Resources
(10)

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