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NJDOE MODEL CURRICULUM PROJECT
CONTENT AREA: Mathematics
#
Course: Geometry
UNIT #: 3
UNIT NAME: Triangle theorems & Trigonometry
STUDENT LEARNING OBJECTIVES
CORRESPONDING CCSS
Find the point on a directed line segment between two given points that partitions the
segment in a given ratio.
Use congruence and similarity criteria for triangles to solve problems and to prove
relationships in geometric figures.
G.GPE.6
3
Prove the Pythagorean Theorem using triangle similarity
G.SRT.4
4
Apply the Pythagorean Theorem to solve right triangle problems
G.SRT.8
5
Derive the definitions for trigonometric ratios using similarity of right triangles.
G.SRT.6
1
2
G.SRT.5
Major Content Supporting Content Additional Content (Identified by PARCC Model Content Frameworks
Code #
Common Core State Standards
G.GPE.6
Find the point on a directed line segment between two given points that partitions the segment in a given ratio.
G.SRT.4
G.SRT.5
G.SRT.6
G.SRT.8
Prove theorems about triangles. Theorems include: a line parallel to one side of a triangle divides the other two proportionally, and
conversely; the Pythagorean Theorem proved using triangle similarity.
Use congruence and similarity criteria for triangles to solve problems and to prove relationships in geometric figures.
Understand that by similarity, side ratios in right triangles are properties of the angles in the triangle, leading to definitions of
trigonometric ratios for acute angles.
Use trigonometric and the Pythagorean Theorem to solve right triangles in applied problems