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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).

Unit Review Game: Categories

12th Grade Math

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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.

Formative Assessment: Formulas and Vectors

12th Grade Math

Â» Unit:

Additional Trigonometry Topics

Big Idea:Use Math Graffiti to review for today's quiz.

Polar Distance Formula

12th Grade Math

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Parametric Equations and Polar Coordinates

Big Idea:Finding distance in polar form draws on past geometric concepts.

Triangles That Are Wrong Because They Are Not Right

12th Grade Math

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Additional Trigonometry Topics

Big Idea:Investigate how to find side lengths and angle measures for non-right triangles.

Extra Credit Quiz

12th Grade Math

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Midterm Review and Exam

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

Final Exam Review Stations (Day 1 of 3)

12th Grade Math

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Review

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

Ambiguous Case Day 1 of 2

12th Grade Math

Â» 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.

Trigonometry from a Geometric Perspective

12th Grade Math

Â» 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.

Ambiguous Case Day 2 of 2

12th Grade Math

Â» 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.

More on the Laws: Real World Application

12th Grade Math

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Fundamentals of Trigonometry

Big Idea:Student teams race to solve challenging oblique triangle problems in context.

Finding Angle Measurements Using Trig

Geometry

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Right Triangle Trigonometry

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

Law of Sines Basics

12th Grade Math

Â» Unit:

Fundamentals of Trigonometry

Big Idea:This direct instruction lesson introduces basic cases of the Law of Sines.

Trig Jeopardy

12th Grade Math

Â» Unit:

Fundamentals of Trigonometry

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

Law of Sines Introduction

12th Grade Math

Â» Unit:

Solving Problems Involving Triangles

Big Idea:Students prove the Law of Sines through a discovery activity.

The Law of Sines: More than Meets the Eye

12th Grade Math

Â» Unit:

Additional Trigonometry Topics

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

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).