MATHEMATICS
Concept Name
Concept Description
4th 6 WEEKS
GEOMETRY
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
Similarity
Guiding Questions


Sequence
Students describe geometric relationships and solve problems related to similar figures using ratio and
proportions.
How is scale factor related to similarity?
How is similarity used to solve problems involving indirect measurement?
Culminating
Activity for Unit
Unit Notes
Vocabulary
Type
Resources
Title
Assessments
Type
Description
Type
Description
Author
Description
Pub Date
URL
ISBN
Actions
Actions
*Pacing (45-50, 90, 135, 180, multi-lesson, short-term, long-term, N/A)
Arc Title
Habits of
Thinking
Guiding
Questions
Resources
Applications of Ratios and Proportion


How can ratios and proportions be used to solve real world problems?
How can students recognize that a problem involves a relationship that can be solved using ratios and
proportions?

How can geometric patterns be used to make generalizations about geometric properties?

How can similar triangles be used to solve problems?

How can the geometric mean be used to find missing side lengths in right triangles?
Title
Type
Description Author
Pub Date
URL
ISBN
Actions
Curriculum Specialist
AISD Secondary Mathematics Dept.
Today’s date: 7/1/16
1/3
last updated: 6/1/09
MATHEMATICS
4th 6 WEEKS
GEOMETRY
Lesson Overview Lesson Summary
Lesson Name Ratio & Proportion
Level Geometry
Submission
Language English
Lesson Objective (Intended Learnings)

Students will write & simplify ratios.

Students will recognize & write equivalent proportions.
Pacing 45-50 minutes
Sequence
Authors
Homework
Universal Themes: Change, Patterns, Structure, Systems, Orders vs. Chaos, Conflict, Relationships
Lesson Objective (TEKS)
TEKS #
Knowledge Skills:
Assessments
Actions
8.b.3
Patterns, relationships, and algebraic thinking.
A1.b.3.A
Use symbols to represent unknowns and variables.
Related TEKS
TEKS #
Content Area
Knowledge Skills:
SE:
G.11
Similarity and shape
Lesson Assessments
Type
Description
Further Information
Essential Questions
Technology Integration

How can I compare two numbers?

Can comparisons be used to find a missing number?
Health Integration
Health Connections
Special Education
English Language Learners
Actions
Gifted & Talented
General Notes
Vocabulary:
Description
Ratio, proportion, extremes, means, cross product.
ELPS # 2(C) & 5(B)
Knowledge Skills: learn new
language structures, expressions, and
basic and academic vocabulary heard
during classroom instruction and
interactions, and write using newly
acquired basic vocabulary and
content-based grade-level vocabulary.
SE:
Actions
Curriculum Writer
AISD Secondary Mathematics Dept.
Today’s date: 7/1/16
2/3
last updated: 6/1/09
MATHEMATICS
4th 6 WEEKS
GEOMETRY
Lesson Stages/ Current Stages
Name
Warmup/Numerical Fluency/Foundation
Engage/Set-up/Launch
Explore
Description
Numerical Fluency #7-1
or Holt Lesson Transparencies Warm-up 7-1 (see TE pg 454)
Show students stills from popular motion pictures featuring
special effects involving miniature models (such as “Lord of
the Rings”). Ask them how they think such life-like scale
models are made.
Actions
Holt Alternate Openers Exploration 7-1
Explain/ Share, Discuss and Analyze
Summary
Elaborate
Evaluate/Assessment
Have students share out their conjectures from Exploration,
then teacher formalize with Holt Lesson Transparencies
Teaching 7-1
In this section students are asked to write ratios and
equivalent proportions, and to use proportions to solve for
variables.
Teacher continues formalizing lesson with Holt Lesson
Transparencies More Examples 7-1, then have students work
in groups on section 7.1 Guided Practice on page 451,
problem numbers 1 thru 16. Holt chapter resources Practice
B 7-1 should be given as homework. Have students share
their responses to Practice B the next class period.
Holt Lesson Transparencies Lesson Quiz 7-1
Student Work Products
Holt chapter resources Challenge 7-1 or Holt chapter
resources Problem Solving 7-1
Extended Learning (Homework)
Principles of Learning
Resources
Title
Type
Description
Author
Pub Date
URL
ISBN
*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
Actions