Download Unit 2

Department: Mathematics
Understanding by Design
Course: Geometry
Basic Concepts and Proof--Unit 2 (Chapter 2)
Standard(s):
CC.9-12.G.CO.9 Prove geometric theorems. Prove theorems about lines and angles. Theorems
include: vertical angles are congruent; when a transversal crosses parallel lines, alternate interior angles are congruent and
corresponding angles are congruent; points on a perpendicular bisector of a line segment are exactly those equidistant
from the segment’s endpoints.
CC.9-12.G.CO.1 Experiment with transformations in the plane. 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.
Stage 1: Desired Results
Understandings
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Students will understand how angles can be related to one another and their applications in proof as well as in
real life.
Essential Questions
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How do the angles formed by intersecting objects affect
their surroundings? (i.e. intersecting streets and traffic
flow)
What are some examples from your life that in which
you have to use a chain of reasoning?
Knowledge & Skill
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See “Targets and Vocabulary”
Stage 2: Assessment Evidence
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Quiz/Test
In class problems & daily homework
Verbal responses
Self evaluation of targets and vocab (see department folder)
Performance Task Summary
Rubric Titles
quizzes, tests, in class problems, daily homework, verbal
responses
Self-Assessments
Self evaluation of "I Can" statements on Targets &
Vocabulary sheet.
Other Evidence, Summarized
Other assessment information will be obtained through
observations, classroom participation, class discussion &
interactions.
Stage 3: Learning Activities
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Identify incorrect reasoning/logic in a given argument or proof.
Writing proofs in small group and whole group settings in a variety of ways (from scratch, multiple choice,
“proof-in-a-bag”, fill in the blanks)
“Row Races” (construct a proof by having students build on the work of the students in the row)
Group discussion