Mathematics Department
Geometry

Surface Area and Volume

Enduring Understanding:

  • To understand how to find and the differences in surface area and volume.

Essential Questions:

  • How are the surface area formulas of circular solids related?
  • Why are the volume formulas of a pyramid and cone similar?
  • What is unique about the surface area and volume formulas for a sphere?

Target Goals:

  • Find surface area of prisms
  • Find surface area of pyramids
  • Find surface area of circular solids
  • Find volume of prisms and cylinders
  • Find volume of pyramids and cones
  • Find volume of spheres

Assessments:

  • Quizzes
  • Test
  • Homework
  • Verbal Responses
  • Bell Ringer
  • Closure
  • Guided Questioning

Activities:

  • Application problems
  • "Clickers"
  • Warm-Up Problems

State Goals:

  • 7.A.4b  Apply formulas in a wide variety of theoretical and practical real-world measurement applications involving perimeter, area, volume, angle, time, temperature, mass, speed, distance, density and monetary values.
  • 7.C.5b  Determine how changes in one measure may affect other measures (e.g., what happens to the volume and surface area of a cube when the side of the cube is halved).
  • 9.B.4   Recognize and apply relationships within and among geometric figures.

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Last updated: January 25, 2008