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 Triangle Similarity: AA, SSS, and SAS
Pacing 45 minutes
Level Geometry
Sequence
Submission
Authors AISD Geometry Curriculum Writing Team
Language
Homework
Lesson Objective (Intended Learnings) Use ratios and proportions to make conjectures about side and angle relationships in similar
triangles.
Universal Themes: Change, Patterns, Structure, Systems, Orders vs. Chaos, Conflict, Relationships
Lesson Objective (TEKS)
TEKS #
Knowledge Skills:
Assessments
Actions
G.3B
Geometric Structure
G.11A
Similarity and the Geometry of Shape
Related TEKS
TEKS #
Content Area
Knowledge Skills:
Actions
SE:
Lesson Assessments
Type
Further Information
Description
Essential Questions:
Technology Integration


If you know two pairs of angles of a two triangles are
congruent, what do you know about the third pair and why?
Why are triangle similarities so important in solving real-world
problems?
Health Integration
Special Education
Health Connections
English Language Learners
Gifted & Talented
General Notes
Vocabulary:
ELPS #
Description
Knowledge Skills:
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
Materials/Supplies, Suggested Pacing
Warmup/Numerical Fluency/Foundation
Engage/Set-up/Launch
Explore
Explain/ Share, Discuss and Analyze
Summary
Elaborate
Evaluate/Assessment
Description
For each student/group:
• Triangles activity sheets
• Graphing calculator
• Scissors
• Ruler(s)
NF #4-24
Actions
Ask students to list everything they know about similar
figures (2 min. private think time) and then share with a
partner (2 min. pair share).
Record all student responses during the whole class share out
to assist students that may have difficulty beginning the
activity that follows.
MTC Geometry Activity 2 Explore/Explain: Triangles
Partner students to complete activity 2 on one copy or make a
group poster – Group 1 could complete #4-6, Group 2 #7-9,
Group 3 #11-12. Assign less items to each group if you want
more groups to have to present to the class.
Students share responses (posters, work displayed under the
Elmo, or group presentations). Focus whole group discussion
on #10, 13, and 14.
Verify this conjecture and the other two conjectures by
examining and discussing the examples in Holt Lesson 7-3.
Focus on similarities and differences in the three conjectures
and use the Think and Discuss reflection and graphic
organizer as a student journal entry.
Students should consider how the similarity conjectures are
similar to or different from the congruence conjectures.
Holt 7-3 Problem Solving
Student Work Products
Extended Learning (Homework)
Holt 7-3 Texas Practice B
Principles of Learning
Resources
Math TEKS
Connections
Title
Geometry
Holt textbook
Geometry
Type
Description
Student
Lessons
Author
Pub Date
URL
ISBN
Lesson 7-3
*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