Using Proportional Relationships Lesson

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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 : Using Proportional Relationships
Pacing 45 minutes
Level 11th
Sequence
Submission
Authors AISD Curriculum Writing Team
Language
Homework
Lesson Objective (Intended Learnings) : Use ratios to make indirect measurements. Use scale drawings to solve problems.
Universal Themes: Change, Patterns, Structure, Systems, Orders vs. Chaos, Conflict, Relationships
Lesson Objective (TEKS)
TEKS #
Knowledge Skills:
Assessments
Actions
G1
G1B
G11
G11A,B,D
Related TEKS
TEKS #
Content Area
Actions
Knowledge Skills:
Lesson Assessments
Type
Further Information
SE:
Description
Technology Integration
Health Integration
Special Education
Health Connections
English Language Learners
Gifted & Talented
General Notes
Vocabulary: indirect measurement, scale drawing, scale
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
4TH 6 WEEKS
MATHEMATICS
GEOMETRY
Lesson Stages/ Current Stages
Name
Materials/Supplies, Suggested Pacing
Description
Graph paper, rulers, tape measures or meter sticks.
Warmup/Numerical Fluency/Foundation
7.5 Alternate Opener (Holt online)
Engage/Set-up/Launch
Students work in teams to measure all dimensions of the
classroom (length, width, height) using tape measures or
meter sticks. See Using Proportional Relationships Handout
7.5 Texas Practice B (Holt online). Students work with
partners or in small groups. Teacher checks in with each
group.
Each group explains to the class (in 2-3 minutes) one of the
questions, from 1-6 on Texas Practice B. May use document
camera or make small posters.
As a class, discuss the final answer for questions 7-9 on
Texas Practice B.
Explore
Explain/ Share, Discuss and Analyze
Summary
Elaborate
Actions
Student teams use their measurements of the classroom,
rulers, and graph paper to make a scale model net of the
classroom, including doors and windows.
7.5 Lesson quiz (Holt online)
Evaluate/Assessment
Student Work Products
Extended Learning (Homework)
7.5 Practice C (Holt online)
Principles of Learning
Resources
Graph paper,
rulers, tape
measures or
meter sticks.
Title
1.
MGeomIB
2bclassroo
m.com
2. Holt
Type
Description
1. AISD
Generated
2. Online
text
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
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