ALEX Classroom Resources

ALEX Classroom Resources  
   View Standards     Standard(s): [MA2015] GEO (9-12) 22 :
22 ) (+) Prove the Law of Sines and the Law of Cosines and use them to solve problems. [G-SRT10]

[MA2015] GEO (9-12) 23 :
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]

[MA2015] PRE (9-12) 35 :
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)

Subject: Mathematics (9 - 12)
Title: Precalculus and Advanced Topics Module 4, Topic B: Trigonometry and Triangles

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.

ALEX Classroom Resources: 1

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