HSG-SRT.D.10

Scroll Up

- 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).

Scroll Down

## 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
(6)

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:

Favorites
(2)

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:

Favorites
(1)

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
(4)

Resources
(13)

### More on the Laws: Real World Application

12th Grade Math »
Unit: Fundamentals of Trigonometry

12th Grade Math »
Unit: Fundamentals of Trigonometry

Big Idea:

#### Student teams race to solve challenging oblique triangle problems in context.

Standards:

Favorites
(2)

Resources
(11)

Reflections
(1)

### 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
(3)

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)

Common Core Math

### 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

### Fourth grade

### Fifth grade

### Middle School

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

Fourth grade

Fifth grade

Middle School