UP:MA19.GDA.16

Vocabulary

  • Dissection arguments
  • Cavalieri's Principle
  • Cylinder
  • Pyramid
  • Cone
  • Ratio
  • Circumference
  • Parallelogram
  • Limits
  • Conjecture
  • Cross-section

Knowledge

Students know:
  • Techniques to find the area and perimeter of parallelograms.
  • Techniques to find the area of circles or polygons.

Skills

Students are able to:
  • Accurately decompose circles, cylinders, pyramids, and cones into other geometric shapes.
  • Explain and justify how the formulas for circumference of a circle, area of a circle, and volume of a cylinder, pyramid, and cone may be created from the use of other geometric shapes.

Understanding

Students understand that:
  • Geometric shapes may be decomposed into other shapes which may be useful in creating formulas.
  • Geometric shapes may be divided into an infinite number of smaller geometric shapes, and the combination of those shapes maintain the area and volume of the original shape.
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