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Progressive Mathematics Initiative
www.njctl.org
Mathematics Curriculum
Unit Plan # 4
Title: Congruent Triangles
Subject: Geometry
Length of Time: 3 weeks
Unit Summary: The unit explores congruence between triangles. Students learn to classify triangles by
their sides and angles, the Triangle Sum Theorem, and the Isosceles Triangles. The unit concludes with
triangle congruence statements, proofs involving triangle congruence, and proofs.
Learning Targets
Conceptual Category: Geometry Domain: Congruence
Cluster: Understand congruence in terms of rigid motions.
Standard#:
Standard:
Explain how the criteria for triangle congruence (ASA, SAS, and SSS) follow from the
G-CO.8
definition of congruence in terms of rigid motions.
Cluster: Prove geometric theorems
Standard#:
G-CO-10
Standard:
Prove theorems about triangles.
Conceptual Category: Similarity, Right Triangles & Trigonometry
Cluster: Prove theorems involving similarity
Standard#:
Standard:
Prove
theorems about triangles
G-SRT-4
Use congruence and similarity criteria for triangles to solve problems and to prove
G-SRT-5
relationships in geometric figures.
Unit Essential Question:
Unit Enduring Understandings:
 How can statements about triangles
 Classifying triangles by sides and angles
be proven?
 The sum of the angles of a triangle is 1800
 Isosceles triangles have 2 congruent sides and two
congruent angles
 Congruence statements for triangles
 CPCTC
 Proofs involving triangles
Unit Objectives:
 Students will be able to identify triangles by sides and angles
 Students will be able to find the congruent angles of an isosceles triangle given congruent sides
 Students will be able to find the congruent sides of an isosceles triangle given congruent angles
 Students will be able to show triangles are congruent and solve problems based on that congruence
 Students will be able state the congruence of corresponding parts knowing congruent triangles
 Students will be able to write proofs triangles.
Evidence of Learning
Formative Assessments:
 SMART Response questions used throughout the unit.
 5 Quizzes
Summative Assessment:
 Unit Test
Lesson Plans
Topics
Topic #1: Classifying Triangles
Topic #2: Interior Angle Theorems
Lab: Triangle Sum Theorem
Topic #3: Exterior Angle Theorems
Topic #4: Isosceles Triangle Theorem
Quiz 1 Classifying Triangles, Triangle Angle
Theorem, & Isosceles Triangle Theorem
Topic #5: Congruence & Triangles
Lab: Triangle Congruence SSS
Lab: Triangle Congruence SAS
Lab: Triangle Congruence ASA
Quiz 2 Congruence & Triangles
Topic #6: Triangle Congruence Proofs
Quiz 3 Triangle Congruence
Topic #7: CPCTC
Quiz 4 Triangle Proofs
Topic #8: Triangle Coordinate Proofs
Quiz 5 Triangle Congruence
Review and Unit Test
Curriculum Resources:
 www.njctl.org/courses/math/geometry/
Days
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