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Transformational Geometry Lesson Plan

Transformational Geometry Lesson Plan. By: Mahmood Sedaghatian. Table of Contents. Anticipatory Set Transformation Geometry Project Description Timeline Resources Grading Technology Used Learning Activities Higher Order Thinking.

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Transformational Geometry Lesson Plan

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  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 captures translations of different points of the truck

  5. 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

  6. 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 using technology to present the assigned transformation project in power point presentation to the class

  7. 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

  8. 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

  9. 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

  10. 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

  11. 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)

  12. 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.

  13. 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

  14. 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

  15. Resources • NVLM • Transformations • Dilations • Reflections • Rotations • Translations • Compositions • Smart board • Power Point Presentation Website • Geometry Text Book • www.youtube.com • Doc Stock

  16. 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 the rubric: 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

  17. Technologies Used • National Library of Virtual Manipulatives (NLVM) • Web 2.0 Tool • Smart board • Power Point Presentation Software

  18. 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)

  19. 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.

  20. 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.

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