UP:MA19.GDA.17

Vocabulary

  • Dissection arguments
Principle
  • Cylinder
  • Pyramid
  • Cone
  • Ratio
  • Circumference
  • Parallelogram
  • Limits
  • Conjecture
  • Cross-section
  • Surface Area
  • 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, spheres, cylinders, pyramids, and cones into other geometric shapes.
    • Explain and justify how the formulas for surface area, and volume of a sphere, 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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