Progressive Mathematics Initiative
www.njctl.org
Mathematics Curriculum
Unit Plan # 2
Title: Angles
Subject: Geometry
Length of Time: 2 weeks
Unit Summary: The unit uses the concepts points, lines, and planes as the basic building blocks for the
properties of angles. Angle relationships are explored and constructions are introduced.
Learning Targets
PARCC
Major Clusters;
Supporting Clusters;
Additional Clusters
Conceptual Category: Geometry Domain: Congruence
Cluster: Experiment with transformations in a plane
Standard#:
G-CO.1
Standard:
Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment,
based on the undefined notions of point, line, distance along a line, and distance around a
circular arc.
Conceptual Category: Geometry Domain: Congruence
Cluster: Prove geometric theorems
Standard#:
G-CO.9
Standard:
Prove theorems about lines and angles.
Conceptual Category: Geometry Domain: Congruence
Cluster: Make geometric constructions
Standard#:
Standard:
Make formal geometric constructions with a variety of tools and methods (compass and
G-CO.12
straightedge, string, reflective devices, paper folding, dynamic geometric software, etc.).
Domain: Standards for Math Practice
Standard#:
Standard:
MP1
Making sense of problems and persevere in solving them.
MP2
Reason abstractly and quantitatively.
MP3
Construct viable arguments and critique the reasoning of others.
MP4
Model with mathematics.
MP5
Use appropriate tools strategically.
MP6
Attend to precision.
MP7
Look for and make use of structure.
Unit Essential Question:
Unit Enduring Understandings:
 How do we develop an awareness of the structure
 Understanding definitions of geometric figures.
of a mathematical system connecting definitions,
 Understand congruence of angles.
postulates, and theorems?
 Using basic construction techniques to explore
properties.
Unit Objectives:
 Students will be able to identify and classify angles based on its measurement and name them.
 Students will be able to apply the Angle Addition Postulate to calculate the measurement of angles
and angle pair relationships.
 Students will be able to measure angles using a protractor.
 Students will be able to construct an angle congruent to any given angle using a compass and
straightedge, and/or dynamic geometry software.
 Students will be able to construct the angle bisector of any given angle using a compass and
straightedge, and/or dynamic geometry software.
Geometry – Angles
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

Students will be able to construct arguments to prove theorems about angles
Students will be able to apply their knowledge of angle bisectors to calculate the measurements of
angles.
Evidence of Learning
Formative Assessments:
 SMART Response questions used throughout the unit.
 2 Quizzes
Summative Assessment:
 Unit Test
Suggested Lesson Pacing
Topics
Timeframe (days)
Topic #1: Angles
1
Topic #2: Congruent Angles
0.5
Topic #3: Angles & Angle Addition Postulate
1
Topic #4: Protractors
0.5
Quiz #1
0.5
Topic #5: Special Angle Pairs
1
Topic #6: Proofs Special Angles
1
Quiz #2
0.5
Topic #7: Angle Bisectors
1
Topic #8: Locus & Angle Constructions
0.5
Topic #9: Angle Bisectors & Constructions
0.5
Topic #10: Review and Unit Test
2
Curriculum Resources:
 www.njctl.org/courses/math/geometry/
 Video demonstrations for constructions using Geometer’s Sketchpad can be found posted the NJCTL
you tube channel (links are within the presentation).
 http://www.youtube.com/playlist?list=PLSzDiTp_K4OflmzfidYf9jpJoce-HnHsQ
Lesson Components
21st Century Skills
 Financial, Economic, Business, and Entrepreneurial Literacy
21st Century Themes
 Critical Thinking and Problem Solving
 Communication and Collaboration
 Life and Career Skills
Geometry – Angles
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