1. Transformational Geometry Lesson Plan
By: Mahmood Sedaghatian

2. Table of Contents
Anticipatory Set
Transformation Geometry
Project Description
Timeline
Resources
Grading
Technology Used
Learning Activities
Higher Order Thinking
3. Computer animated images such as this dragon are created in a 3-dimentional coordinate plane, and then made to move by applying various transformations to the coordinates
4. A time lapse photo capturestranslations
of different points of the truck
5. 6. Transformational Geometry
Grade Level: 7 th or 8 th
Subject Area: Geometry
Topics addressed: Dilations, Reflections, Rotations, and Transformations
Web 2.0 Tools:
National Library of Virtual Manipulatives (NLVM): Geometry 6-8
Length of Lesson: 7 days
7. Transformational Geometry
Aim: To discover transformational geometry
Objectives:
Determine what Dilations, Reflections, Rotations, and Transformations are
Demonstrate the ability to perform different transformations
Demonstrate the ability of usingtechnology to present the assigned transformation project in power point presentation to the class
8. Description of Project
Purpose
Provide students with a way of understanding what transformational geometry is
Understand the difference between Dilations, Reflections, Rotations, and Translations
Have students learn on their own using technology
Practice the different math concepts
9. Description of Project
Task:
Students will be asked to use NVLM Geometry to learn and understand the difference between:
Dilatation
Reflection
Rotation
Translation
Students will practice using the rules given specific examples
10. Description of Project
Procedures:
Day 1 (40 minutes)
Students will be instructed to go to the computer lab. The computer lab needs to be equipped with either a blackboard or a Smart board
The instructor will begin the lesson by talking about what transformational geometry is (brief background) and introduce the first transformation: Dilatation
Students will be then given a worksheet to complete
HW back of the worksheet has the HW assignment
11. Description of Project
Procedures (Continued)
The worksheet will instruct them to do the following:
Go to the following website: http://nlvm.usu.edu and click on Transformations Dilation
On the website, there is an activity the students will complete
Students will answer the activity questions, come up with a definition, properties, general rules, and a symbol for what a dilation is
Students will complete the back of the worksheet for HW
12. Description of Project
Procedures:
Day 2
The lesson will start off with collecting the worksheet from the previous day and introduce the new transformations: Reflection and Rotation
Students will be then given a worksheet & HW to complete (similar to day 1) to complete
Day 3
The lesson will start off with collecting the worksheet from the previous day and introduce the new transformations: Translation
Students will be then given a worksheet & HW to complete (similar to day 1) to complete
Once finished with translation worksheet, students will either finish any worksheets they have not finished, or the Composition Activity (bonus points)
13. Description of Project
Procedures:
Days 4 & 5
Divide the class up into 4 groups. Each group will develop a power point presentation on 1 of the 4 assigned transformations featuring:
New vocabularies
The rules for the transformation
Properties of the transformation
Symbol of the transformation
Examples of the transformation in coordinate plane
Examples of the transformation in real life
Each group will get the worksheet for their transformation back graded.
These presentations should be very detailed and precise. They should feature organization,content, appearance,precision, and uniqueness.
14. Description of Project
Procedures:
Day 6
Students will get back all the worksheets graded
Students will take/edit notes on all the transformations
Each group will practice rehearsal of the power point presentations
Day 7
Students will deliver their presentation to the class
Teacher will grade the presentations
Students will take notes and comment on other groups presentation
15. Timeline
Day 1
Introduction
Dilations
Day 2
Reflections
Rotations
Day 3
Translation
Online Activity
Day 4 & 5
Develop a power point presentation of the assigned transformations
Day 6
Finish the project and do rehearsal
Day 7
Perform the power point presentation to the class
16. Resources
NVLM
Transformations
Dilations
Reflections
Rotations
Translations
Compositions
Smart board
Power Point Presentation Website
Geometry Text Book
www.youtube.com
Doc Stock
17. Grading
Students will be graded on the following:
Individual:
The completion of each worksheet (10 points)
The daily HW assignments (10 points)
Daily Check-up (10 points)
Group:
Team collaboration (10 points)
Power point presentation (60 points) based on therubric:
Rubric
Grade Scales:
A+=97-100 A=94-96 A-=90-93
B+=87-89 B=84-86 B-= 80-83
C+=77-79 C=74-76 C-= 70-73
D+=67-69 D=64-66 D-=60-63
F= 59-0
18. Technologies Used
National Library of Virtual Manipulatives (NLVM)
Web 2.0 Tool
Smart board
Power Point Presentation Software
19. Learning Activities
Teacher Preparation
Reserve the computer lab for 7 days
Reserve the Smart board / projector
Copies of the worksheets
Grades:
Have each groups worksheet graded by day 4
Have all the worksheets graded by day 6
Have all the presentations evaluated by day 7
Student-centered Learning Activities
Students will learn each of the transformation (how they work) from the NVLM website
Students will apply the knowledge from the NVLM website to complete the Homework assignment each night.
Students will collaborate with each other to create a power point presentation and present to the class about each transformation (definitions, properties, general rules, symbols and examples)
20. Higher Order Thinking
Knowledge
Students will have to master transformational geometry and recall the information when making the power point presentation to the class.
Comprehension
Students will have to understand what the different types of transformations are. They will also have to predict what will happen given a specific example.
Application
Students will have to demonstrate the different transformations and show how to apply each transformation.
21. Higher Order Thinking
Analysis
Students will compare the different transformations to find the difference between them. They will also explain the different properties for each transformation.
Synthesis
Students will need to draw conclusions to find the different rules on the different transformations.
Evaluation
Students will assess and explain different examples to determine different transformations. Students will have to explain which transformation(s) was used that transformed the image.