Download The Chicago High School for the Arts Honors Geometry Unit 3

The Chicago High School for the Arts
Honors Geometry
12/2 DO NOW, Essential Questions:
Take 5 minutes to respond to the following questions:
1) What does it mean if I say that two items are equivalent?
2) If two line segments are congruent, what things about them are the same? What things are different?
Unit 3 Overview
Angle Properties & Proof
Content Related Vocabulary:
acute, obtuse, right, vertical angles, straight angles, corresponding angles, alternate interior angles,
alternate exterior angles, parallel lines, perpendicular lines, transversal, complementary, supplementary,
midpoint, bisect, trisect, altitude, proof, theorem, postulate, transitive property, substitution, congruent,
similar, scalene, isosceles, equilateral
Enduring Understandings:
Students will understand that:
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Geometry is a useful tool used to support calculations in art and architecture
Algebra and Geometry can be used together in problem solving
Patterns & similarity are naturally recurring in nature
Logic can be used to discover various angle relationships
Similar figures are proportional to each other
Essential Questions:
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How are geometry and algebra related?
What is proof? Why is proof important?
What is the difference between similarity & congruence?
Learning Targets:
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Use angle properties to find missing angles based on line intersections
Use properties of midpoints, bisectors & trisectors
Write two-column proofs
Draw conclusions based on a set of conditions
Use substitution & transitive properties
Identify types of triangles
Apply the triangle-sum theorem
The Chicago High School for the Arts
Honors Geometry
Unit 3 Assessment Calendar
Angle Properties & Proof
Assessment
Type
Homework
Homework
Learning Targets
Description
Date
Work with parts of a degree
Parts of a Degree worksheet
DUE:
12/03
- Use properties of vertical angles
Textbook p.14 #1, 2, 5, 6, 8
Textbook p.102 #2, 3, 7, *12, 13
Textbook p.230 #3, 5, 10, 11, 13
DUE:
12/05
Textbook p.64 #3 – 5, 8, 10
Textbook p.69 #4, 5, 10, 11, 16, 18
Textbook p.79 #1, 14
DUE:
12/09
Textbook p.32 #1 – 9
DUE:
12/10
- Use properties of parallel lines cut by a
transversal
- Use properties of perpendicular lines
Homework
Homework
- Use properties of complementary and
supplementary angles
- Use properties of midpoints, bisectors &
trisectors
- Use properties of vertical angles
- Use properties of parallel lines cut by a
transversal
Quiz
- Use properties of perpendicular lines
- Use properties of complementary and
supplementary angles
- Use properties of midpoints, bisectors &
trisectors
- Write two-column proofs
Homework
- Draw conclusions based on a set of
conditions
- Write two-column proofs
Homework
UNIT 3 QUIZ 1: Angle Properties
- Draw conclusions based on a set of
conditions
- Use substitution & transitive properties
ON:
12/12
(see sections 1.2, 1.5, 2.1, 2.2, 2.4, 2.8 and 5.3)
Textbook p.26 #1 – 7, 11
Textbook p.74 #1 – 3, 6 – 8
DUE:
12/17
Textbook p.86 #3 – 5
Textbook p.97 #1 – 3, 5, 6
Textbook p.102 #4 – 6
DUE:
12/19
- Write two-column proofs
Quiz
- Draw conclusions based on a set of
conditions
- Use substitution & transitive properties
Homework
All Unit 3 Learning Targets so far…
UNIT 3 QUIZ 2: Proof
(see sections 1.4, 2.3, 2.5 and 2.7)
Unit 3 ACT Practice Packet
ON:
12/19
DUE:
1/06
12/23 – 1/05: WINTER BREAK!
Homework
Homework
Identify types of triangles
Textbook p.144 #1 – 6, 10, *11, 12, *13
DUE:
1/9
- Use properties of isosceles triangles
Textbook p.152 #1, 4, 6, 7, 8
Textbook p.298 #1 – 7
DUE:
1/13
- Apply the triangle-sum theorem
1/13 – 1/17: Final Exam Review
Review packets will be provided throughout the week.
Final Exam
All Semester 1 Learning Targets
SEMESTER 1 FINAL EXAM
ON:
1/22