Precalculus and Advanced Topics Module 4, Topic B, Overview

Student Using Technology in the Classroom

Students derive sophisticated applications of the trigonometric functions in Topic B including:  the area formula for a general triangle, the law of sines, the law of cosines, and Heron’s formula.  They use previous knowledge and apply their understanding of the Pythagorean theorem and oblique triangles to discover these formulas while analyzing patterns.  Finally, as students investigate force diagrams and paths across rivers, they solve survey and elevation problems and revisit vectors.

Downloadable Resources

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Common Core Learning Standards

CCLS State Standard
G.SRT.9 (+) Derive the formula A = 1/2 ab sin(C) for the area of a triangle by drawing an auxiliary line...
G.SRT.10 (+) Prove the Laws of Sines and Cosines and use them to solve problems.
G.SRT.11 (+) Understand and apply the Law of Sines and the Law of Cosines to find unknown measurements in...

Curriculum Map