ALEX Classroom Resource

  

Precalculus and Advanced Topics Module 4, Topic B: Trigonometry and Triangles

  Classroom Resource Information  

Title:

Precalculus and Advanced Topics Module 4, Topic B: Trigonometry and Triangles

URL:

https://www.engageny.org/resource/precalculus-and-advanced-topics-module-4-topic-b-overview

Content Source:

EngageNY
Type: Lesson/Unit Plan

Overview:

Students derive sophisticated applications of the trigonometric functions in Module 4, 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.

Note: This module is identified as Precalculus and Advanced Topics in the EngageNY curriculum. It also corresponds to the Geometry Alabama Course of Study.

Content Standard(s):
Mathematics
MA2015 (2016)
Grade: 9-12
Geometry
22 ) (+) Prove the Law of Sines and the Law of Cosines and use them to solve problems. [G-SRT10]

Mathematics
MA2015 (2016)
Grade: 9-12
Geometry
23 ) (+) 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). [G-SRT11]

Mathematics
MA2015 (2016)
Grade: 9-12
Precalculus
35 ) (+) 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. (Apply formulas previously derived in Geometry.) [G-SRT9] (Alabama)

Tags: area, Herons formula, law of cosines, law of sines, oblique triangles, Pythagorean Theorem, triangle, trigonometry
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Comments

There are four lessons on this topic.

This resource is free for teachers to access and use. All resources required for the lessons are available to print from the site. 

Note: This module is identified as Precalculus and Advanced Topics in the EngageNY curriculum. It also corresponds to the Geometry Alabama Course of Study.

  This resource provided by:  
Author: Hannah Bradley