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Geometry

Explore and solve real-world and mathematical problems involving area, surface area, and volume. Find and describe the resulting shapes from slicing solids. Suitable for Grade 6/7 Geometry.

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Geometry

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  1. Geometry Grade 6/7 Ginny Bohme Sam Buhler Linda Mannhardt

  2. Solve real-world and mathematical problems involving area, surface area, and volume. Grade 6

  3. Find the area of right triangles, other triangles, special quadrilaterals, and polygons by composing into rectangles or decomposing into triangles and other shapes; apply these techniques in the context of solving real-world and mathematical problems. 6.G.1 Authors' Name(s)

  4. Draw polygons in the coordinate plane given coordinates for the vertices; use coordinates to find the length of a side joining points with the same first coordinate or the same second coordinate. Apply these techniques in the context of solving real-world and mathematical problems. 6.G.3 Authors' Name(s)

  5. Talk with your elbow partner What do you think the standard is expecting of students? Pause and Reflect Authors' Name(s)

  6. Begin the task on your own for 2-3 minutes Compare with your table mates On the chart paper record your group’s solution and thinking Be ready to present your solution Let’s Explore Authors' Name(s)

  7. What skills were necessary to complete the task? How did the various solutions relate to one another? How did the task address the standards? Which mathematical practices were evident? Pause and Reflect Authors' Name(s)

  8. Task can address more than one standard in a domain or from multiple domains. Task should allow for multiple entry points. Pay attention to the mathematical practices in the student’s work. Considerations Authors' Name(s)

  9. Geometry • Draw, construct, and describe geometrical figures and describe the relationships between them. Grade 7 Cube Rectangular Prism

  10. Describe the resulting face shape that will result from slicing a solid rectangular prism: • parallel to the base • perpendicular to the base • at an angle through the prism • Explain your thinking Slicing a Solid base

  11. Where could you slice a solid rectangular prism to create a triangle? Explain your thinking Could slice a cube to create a rectangle that is not a square? Explain your thinking What’s Possible?

  12. Is it possible to create other polygons from slicing a cube? What are they? Are there any polygons you would not be able to create? How do you know? www.learner.org/courses/learningmath/geometry/session9/part_c/index.html Time to Explore

  13. What would be your next step in the lesson? What tools would you make available to the students? Classroom Implementation

  14. Describe the two-dimensional figures that result from slicing three-dimensional figures, as in plane sections of right rectangular prisms and right rectangular pyramids. Which standard(s) in the 7th grade domain of Geometry does this address?

  15. Thank you!

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