MATHEMATICS
Concept Name
Concept Description
1ST 6 WEEKS
MATH MODELS
Attributes of Polygons
The attributes of polygons relate to the concept of geometric figures and their properties. Geometry consists of
the study of geometric figures of zero, one, two, and three dimensions and the relationships among them.
Students study properties and relationships having to do with size, shape, location, direction, and orientation
of these figures. There are critical attributes that are used to classify polygons.
Pacing (optional)
Sequence
Unit Name
Pacing*
Overarching Idea
Polygon Properties
Sequence
Relationships between the critical attributes of polygons determine classification and connect to algebraic
generalizations of patterns in geometric figures.
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Guiding Questions
What role do triangles play in determining properties of regular and irregular polygons?
What is a real-life application that uses polygon angle measurement to solve problems?
Culminating
Activity for Unit
Unit Notes
Vocabulary
Type
Resources
Title
Assessments
Type
Description
Type
Description
Author
Pub Date
Description
URL
ISBN
Actions
Actions
*Pacing (45-50, 90, 135, 180, multi-lesson, short-term, long-term, N/A)
Arc Title
Habits of
Thinking
Regular Polygon Patterns
Guiding
Questions
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Resources
Title
In what ways can students compare and contrast a regular polygon with an irregular polygon?
What is the difference between a convex and a concave polygon?
Why is the sum of the interior angles of a convex polygon different from a concave polygon?
How are attributes of polygons used to classify figures?
Type
Description
Author
Pub Date
URL
ISBN
Curriculum Specialist
AISD Secondary Mathematics Dept.
Today’s date: 7/1/16
1/3
last updated: 6/1/09
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MATHEMATICS
1ST 6 WEEKS
MATH MODELS
Lesson Overview Lesson Summary
Lesson Name: Properties of Polygons (Holt Chapter 6)
Pacing: 3 - 45 minutes or 1.5- 90 minutes
Level: 10th – Geometry
Sequence
Submission Date: 12/14/09
Authors: Geometry Curriculum Writing Team; December 2009
Language
Homework
Lesson Objective (Intended Learnings):
Classify polygons by sides and angles.
Find and use measures of interior and exterior angles.
Prove and apply properties of parallelograms. Use properties of parallelograms to solve problems.
Prove and apply properties of rectangles, squares and rhombuses. Use properties of rectangles, squares and rhombuses to solve
problems.
Use properties of kites and trapezoids to solve problems.
Universal Themes: Change, Patterns, Structure, Systems, Orders vs. Chaos, Conflict, Relationships
Lesson Objective (TEKS)
TEKS #
Knowledge Skills:
Assessments
Actions
G.3
SE: G.3.B; G.3.E
G.5
SE: G.5.B
G.7
SE: G.7.A; G.7.B; G.7.C
Related TEKS
TEKS #
Content Area
Knowledge Skills:
SE:
G.2
G.2.A; G.2.B
G.9
G.9.B
Lesson Assessments
Type
Description
Further Information
Essential Questions: Is there a relationship between the number Technology Integration
of sides a polygon has and the sum of the angle measures of the
polygon? How does finding the measure of an exterior angle
differ from finding the measure of interior angle? What
characteristics does a regular polygon have? Irregular polygon?
Concave? Convex? What unique properties exist for
parallelograms, rectangles, squares, rhombuses, kites, and
trapezoids?
Health Integration
Health Connections
Special Education
English Language Learners
Actions
Gifted & Talented
General Notes
Vocabulary: side of a polygon, vertex of a polygon, diagonal,
regular polygon, concave, convex, parallelogram, rectangle,
rhombus, square, kite, trapezoid, base of a trapezoid, leg of a
trapezoid, base angle of a trapezoid, isosceles trapezoid,
midsegment of a trapezoid
ELPS #
Knowledge Skills:
Description
SE:
Actions
Curriculum Writer
AISD Secondary Mathematics Dept.
Today’s date: 7/1/16
2/3
last updated: 6/1/09
MATHEMATICS
Lesson Stages/ Current Stages
Name
Materials/Supplies, Suggested Pacing
Warmup/Numerical Fluency/Foundation
Engage/Set-up/Launch
Explore
Explain/ Share, Discuss and Analyze
Summary
Elaborate
Evaluate/Assessment
1ST 6 WEEKS
MATH MODELS
Description
Holt Textbook, Document Camera or Overhead Projector,
Whiteboard/Chalkboards, Word/Concept Wall, Cut-Outs of
Various Polygons
Days 2-4:
Use provided Polygon Warmup handouts or Planar Figure
Activities.
Divide class into groups of 3-4. Provide cut-outs of various
polygons including different examples of alike. Have
students organize or group polygons how they see fit.
Post/communicate expectation that justifications must be
provided for chosen groups including criteria for inclusion.
Have students use Holt Textbook to complete first parts of
Guided Notes.
Engage in class discussions including posting words and
concepts in classroom for future reference. Review student
completed sections of Guided Notes.
Provide examples of practice problems as final part of
Guided Notes handouts. Provide extra examples from Holt
Textbook as necessary.
Holt Practice Sets as suggested in Guided Notes or Practice
Worksheets from Holt Resources.
Actions
Holt Practice Sets as suggested in Guided Notes or Practice
Worksheets from Holt Resources. Also consider Section
Quizzes and Assessments. As a comprehensive review or
summative activity have students complete the Quadrilaterals
Chart individually or in groups with share-out.
Student Work Products
Extended Learning (Homework)
LTF Trapezoid Extension as an example of a more rigorous
extension of application of polygon properties.
Principles of Learning
Resources
Textbook
Title
Holt Geometry
T Description
y Adopted
p Textbook
e
AISD Generated
Warmups
Polygon Warmups
Guided Notes
Notes for Polygons
Notes for Parallelograms
Notes for Special Parallelograms
Notes for Kites & Trapezoids
AISD Generated
Note Keys
Polygon Notes Keys
AISD Generated
Worksheet
Quadrilaterals Chart with Key
Adopted
Resource
Worksheets
Planar Figures Activities
Adopted
Resource
Worksheets
LTF Trapezoid Extension
Autho
r
P URL
u
b
ISBN
D
a
t
e
Adopted
Resource
*Pacing (45-50, 90, 135, 180, multi-lesson, short-term, long-term, N/A)
AISD Secondary Mathematics Dept.
Today’s date: 7/1/16
3/3
last updated: 6/1/09
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