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Department: Mathematics
Understanding by Design
Course: Geometry
Parallel and Perpendicular Lines--Unit 5A(Chapter 5)
Standard(s):
CC.4.G.1 Draw and identify lines and angles, and classify shapes by properties of their lines and
angles. Draw points, lines, line segments, rays, angles (right, acute, obtuse), and perpendicular and parallel lines. Identify
these in two-dimensional figures.
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.
Stage 1: Desired Results
Understandings
S
T
A
G
E
1
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To describe and understand real-life objects that are composed of parallel and perpendicular lines
Essential Questions
•
How do equations of lines reflect the appearance
of their graphs?
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What happens when two lines are intersected by a
third line (transversal)?
•
What is slope??
Knowledge & Skill
•
See “Targets and Vocabulary”
Stage 2: Assessment Evidence
•
•
•
•
S
T
A
G
E
2
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
S
T
A
G
E
3
•
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Find parallel and perpendicular lines in various real-world settings
Identify angle relationships
Identify slopes graphically and algebraically
Think-pair-share
Writing proofs in small group and whole group settings.
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