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Exploring Transformational Geometry with Geometer’s Sketchpad in Grade 8 Math

This session focuses on the use of Geometer's Sketchpad (GSP) to teach transformational geometry concepts in the Grade 8 math curriculum. Participants will engage in guided practice, utilizing resources from “IMPACT Math” to explore transformations such as reflections, rotations, and translations. Through collaboration in small groups, students will analyze various sketches and their relation to specific problem sets. The session aims to develop innovative teaching strategies for transformational geometry and demonstrate how technology can enhance understanding.

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Exploring Transformational Geometry with Geometer’s Sketchpad in Grade 8 Math

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  1. Enrich Transformations and Polynomials Instruction with Technology Using Geometer’s Sketchpad to Explore Transformational Geometry iLearn Grade 8 Math Session 8.2

  2. Focusing Questions • What are other strategies of teaching transformational geometry? • How can Geometer’s Sketchpad support working with transformations?

  3. Instruction

  4. Framing The Session • You have used the SmartBoard and virtual protractor to do transformations. Now, you will focus on using Geometer’s Sketchpad to accomplish this.

  5. Teaching • Open to page 290, PS A, in “IMPACT.” • Together we will follow the steps in the handout “Steps to Modify a Premade GSP Sketch”to complete the Problem Set.

  6. Guided Practice • Open Reflection.gsp. • Create instructions and questions for page 293 of “IMPACT Math” directly in Geometer’s Sketchpad using the text tool.

  7. Work Time

  8. Getting Started • Working in small groups, explore the following sketches and discuss how they relate to the problem sets indicated.

  9. Work Time How is the sketch related to the problem set? • Impact Math Chapter/Problem Set GSP Sketch • 5.1 PS C Reflect.gsp • 5.2 PS B Rotation symmetry.gsp • 5.2 PS E Rotate.gsp • 5.3 PS A Translate.gsp • 5.3 PS C ReflectIntersecting.gsp • 5.3 PS D Threeflect.gsp

  10. Work Time (cont’d) How is the sketch related to the problem set? • Impact Math Chapter/Problem Set GSP Sketch • Lab Investigation Glide reflect tiling.gsp, Triangle tiles.gsp, Twisted triangles.gsp, Tumbling blocks.gsp • 5.5 PS B Coordinate Reflect.gsp • 5.5 PS D Coordinate Translate.gsp • Whole chapter RooBooGoo.gsp

  11. Share

  12. Share • Let’s look at some of the questions and instructions you created.

  13. Share • How can Geometer’s Sketchpad help develop skills in transformational geometry?

  14. How does this session address different strategies of teaching transformational geometry? • Answers

  15. For more information • Office of Instructional Technology • oittc@schools.nyc.gov • www.nyc.gov/schools

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