Download Angle Pairs - Mr. Kandov @ FPA

FRANCES PERKINS ACADEMY
Teacher:
Mr. Kandov
Subject:
Geometry
Unit:
Unit 0
Lesson
5
Exploring Angle Pairs
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Essential Question: How does geometry shape
our world, from the plates we eat off to the
buildings we walk in?
I can describe basic geometric terms and their features such as angle pairs.
Learning Objective/s:
Provocative
Question/s:
Please Do Now:
4-6 minutes
Once you are done,
read out your
responses to a partner!
Grade
9-12
Date:
Do pairs of angles have special relationships? If so, what are they?
Answer at least 2 questions and then share your response with a partner!
1. Where have you seen lines and angles used?
2. When skating, what do you call a full circle? A half-circle?
3. What is formed at the intersection of two lines? Of two planes?
4. What do you remember about angles that form a straight angle?
5. Follow-up: What are these angles called?
Compare your responses with a partner.
Common Core
Standards:
G.CO.A.1 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.
Language/Vocabulary
Mini - Lesson
15 minutes
Adjacent/Vertical/Complementary/Supplementary Angles, Linear Pair
*Include Linear Pair: adjacent angles whose noncommon sides are opposite rays!
*Students will add a 3rd column of “Counterexamples” to clarify definitions.
*Students will argue True of False?
FRANCES PERKINS ACADEMY
Procedure:
1. Go over any left-over questions from Task.
2. Do Now: Students will choose to answer between
multiple levels of difficulty question. Pair share (each
student should read their response to a partner for studentstudent assessment and discussion) and 1 pair will present
what their partners’ response was.
3. Mini-Lesson – Explore properties of Adjacent angles,
Vertical angles, Supplementary angles, and
Complementary angles. Students will come to a defining
conclusion for “linear pair.”
4. Students will complete a set of True/False problems.
5. Students will complete practice problems with guidance
and support from modeled problem and walk-throughs for
assessment of understanding. Let the students know when
10 minutes are up and they should begin verifying their
partners’ answers via timer and vocal time announcement.
6. Closing (5 minutes) – Word Wall
Activity (s)
DOK (Qstns for assessment & understanding)
1. How can you describe an angle
bisector using terminology we’ve
defined in Lessons 1 and 2?
2. Looking at our example of
applying the midpoint, is it
necessary to substitute 8 for x in
the expression for QR in order to
find QR? Explain.
3. What is the difference between
complementary and supplementary
angles? Why is this difference
important?
4. How does the term linear pair
describe how the angle pair looks?
FRANCES PERKINS ACADEMY
Assessment
Closing
Differentiation
Instructional Groups
Homework
Materials/Resources
Notes/reflection
____ minutes
Reminders:
(Test/Quizzes dates)
Walk around with clipboard and assess student responses to assignment as well as
scaffolding questions.
1. What are two ways we can mark an angle is a right angle?
2. Can we assume from a diagram that two angles are complementary?
Explain. (yes, when they form a right angle, or the next angle is
supplementary to the sum of these two)
Assess student understanding of vocabulary and when it is appropriate to use
specific vocabulary through creating of a Word Wall – Frayer Model.
Multiple entry level questions will be delivered.
Pair-Share groups of two.
What have you learned today? Read aloud responses to closing statements.
Differentiation and Tiered Instructional Strategies
☐Materials at varied readability
☐Flexible use of time
levels
☐Video/audio notes (visual/verbal
☐Supplementary materials based learners)
on student interest
☐Graphic organizer
☐Varied teaching modes
☐Jigsaw
☐Anchor activities (Sponge
☐Problem Based Learning
activities)
☐Stations
☐Compacting
☐Learning contracts
☐Tiered activities
☐Cooperative learning
☐Portfolios
☐DOK Questioning
Reflection
☐Use of contemporary technology
☐Flexible grouping
☐Learning contracts
☐Literature Circles
☐Socratic Seminar
☐Think, Pair, share
☐ Workshop Model
☐Models of tasks at different levels
☐Cubing