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Learning Goal

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Identify cross sections

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HSG.GMD.B.4

**HSG.GMD.B.4**: Identify the shapes of two-dimensional cross-sections of three-dimensional objects, and identify three-dimensional objects generated by rotations of two-dimensional objects.

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HSG.GMD.B.4: Identify the shapes of two-dimensional cross-sections of three-dimensional objects, and identify three-dimensional objects generated by rotations of two-dimensional objects.

What you'll learn

  1. Identify the shapes of two-dimensional cross-sections produced by slicing standard three-dimensional objects (cylinders, cones, spheres, prisms, pyramids) with a plane
  2. Predict how the cross-section shape changes depending on the orientation and position of the slicing plane
  3. Identify the three-dimensional solid generated by rotating a given two-dimensional shape about an axis
  4. Sketch the 2D shape whose rotation would produce a given solid of revolution
  5. Connect cross-sectional thinking to volume computation and real-world applications such as medical imaging and manufacturing

Slides

Step through the lesson, or watch it as a narrated video • 2 slide decks

1

Cross sections

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2

Solids of revolution

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Practice

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