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Enrich Instruction in a Geometry and Measurement Unit with Technology Calculating Areas with Geometers Sketchpad iLearn Grade 6 Math Session 6.7

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Focusing Questions How can we make the most of our technology resources for studying area?

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Instruction

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Framing The Session Open up a new SmartBoard notebook page. Go to the Gallery and search for a grid. Open up related folders, and select the Graphing folder. Open up Pictures and Backgrounds, and select Grid-large. Have students trace their hand on the screen, and count the grid squares inside the tracing.

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Teaching Step 1- Discuss the results. Step 2- Participants shall find the area of their hand considering two scenarios: if the grid is a 1 inch grid, and if the grid is a ½ inch grid. Be sure students understand why the estimate with ½ inch grid paper requires that the estimate be multiplied by ¼ to get the area in square inches.

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Guided Practice Guide participants through the process of discussion. Discuss which grid was easier to use to estimate the area of their hand and why.

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Work Time

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Getting Started Take the next 25 minutes to complete the following: Complete IMPACT Mathematics Course 1 Investigation 1 pages 410-412_3 rd ed.,2009 Develop & Understand A, B, and C. Use Geometers Sketchpad Parallelogram Area activity. To explore the area of triangles, students should complete IMPACT Mathematics Course 1 Investigation 2 pages 413-416_3 rd ed.,2009 Develop & Understand A, B, and C. Use Geometers Sketchpad Area activity and choose the Triangle page tab.

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Getting Started To explore the area of circles students should complete IMPACT Mathematics Investigation 4 pages 419-421_3 rd ed.,2009 Develop & Understand A, and B. Use a New Geometers Sketchpad page to create circles for Develop & Understand A. On the new sketch, go to the Graph menu/ Grid Form and select Square Grid to draw the circles on a grid. The Course 1 IMPACT Mathematics Lab Investigation on pages 525-527_2 nd ed.,2004 provides the opportunity to show how to use Microsoft Excel. This is not available in the revised text.

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Work Time Participants will... Step 1- Use Geometers Sketchpad Parallelogram Area activity to complete IMPACT Mathematics Course 1 Investigation 1 pages 410- 412_3 rd ed.,2009 Develop & Understand A, B, and C: Pairs Step 2- Use Geometers Sketchpad Area activity and choose the Triangle page tab to complete IMPACT Mathematics Course 1 Investigation 2 pages 413-416_3 rd ed.,2009 Develop & Understand A, B, and C: Individuals Step 3- Open a New Geometers Sketchpad sketch, go to the Graph menu/ Grid Form and select Square Grid. Draw circles on the grid to help complete IMPACT Mathematics Investigation 4 pages 419- 421_3 rd ed.,2009 Develop & Understand A, and B: Groups of 2 or 3

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Share

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Ask selected participants to share particularly good examples of their work. Review the following investigations. IMPACT Mathematics page 412_3 rd ed.,2009 Investigation 1 Share & Summarize IMPACT Mathematics page 416_3 rd ed.,2009 Investigation 2 Share & Summarize IMPACT Mathematics page 421_3 rd ed.,2009 Investigation 4 Share & Summarize (If using the IMPACT Mathematics Course 1 2 nd ed. Lab Investigation Share page 527 examples 9-11) Share

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What did you do? Share

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

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