Unit 3 Overview Angle Properties & Similarity Content Related

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The Chicago High School for the Arts
Geometry CPa
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 & Similarity
Content Related Vocabulary:
vertical angles, supplementary angles, right angles, parallel lines, transversal,
perpendicular lines, corresponding angles, alternate interior angles, alternate exterior
angles, consecutive interior angles, interior angles, exterior angles, isosceles triangle,
scalene triangle, equilateral triangle, right triangle
Enduring Understandings:
Students will understand…
 The angle relationships formed by parallel lines cut by a transversal
 The angle relationships formed by perpendicular lines
 The sum of the angles of a triangle
 The properties of isosceles & right triangles
 The properties of similar figures
 The difference between similarity and congruence
 The formula to find the sum of the angle measures of any polygon
Essential Questions:
Students will keep considering...
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What is geometry?
Why do we learn geometry?
How are geometry and algebra related?
Learning Targets:
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Find the measure of an angle using properties of parallel lines
Exhibit knowledge of basic angle properties and special sums of angle measures
Use several angle properties to find the measure of an unknown angle
Use the properties of isosceles triangles
Apply properties of 30°-60°-90°, 45°-45°-90°, similar and congruent triangles
The Chicago High School for the Arts
Geometry CPa
Unit 3 Calendar
Angle Properties Calendar
Assessment
Type
Learning Targets
Description
Homework
Parallel lines, transversal vocab
In Book: Read 134-136, complete Review #6-16
Homework
Basic angle properties
In Book: Pages 146 – 147, #1-22
Homework
Basic angle properties & vocab
Angle Properties Review Packet
Quiz
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Names of angles formed by parallel lines cut by a transversal
Properties of angles formed by parallel lines cut by a transversal
Converse of angle properties (ACT style)
Date Due
12/03 –
12/04
12/05 –
12/06
12/09
12/10 –
12/11
Homework
Interior angle properties of triangles,
polygons
In Book: Pages 206-208, #1-9, 19-23
12/12 –
12/13
Homework
Exterior angle properties of triangles
In Book: Pages 207-208, #10-16, 24-30
12/18
Homework
Angle properties of triangles and lines
Triangle angle properties review packet
Quiz
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Finding missing angles of triangles using interior and exterior angles
Finding missing angles of regular polygons
12/19 –
12/20
12/19 –
12/20
WINTER BREAK
Homework
Triangle Congruence
In Book: Page 218, #19-22 in class
Homework
Triangle Similarity Properties
In Book: Read 267-270 (thru ex. 7), p 273, #29
Homework
Triangle Similarity Properties
Triangle Similarity Review Packet
Quiz
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Properties of congruent and similar figures
Using proportions to find the missing sides of similar triangles
REVIEW WEEK: 1/14 – 1/18
SEMESTER FINALS WEEK: 1/22 – 1/24
1/07
1/08 –
1/09
1/10 –
1/11
1/10 –
1/11
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