5.MATH.6.A

Recognize a cube with side length of one unit as a unit cube having one cubic unit of volume and the volume of a three-dimensional figure as the number of unit cubes (n cubic units) needed to fill it with no gaps or overlaps if possible.

Grade 5 · Texas Essential Knowledge and Skills (TEKS) · TEKS 2012

Standard Unwrapping

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Vocabulary
cubeside lengthunit cubecubic unitvolumethree-dimensional figureunit cubesn cubic unitsgapsoverlaps
Skills
  • recognize (a cube with side length of one unit as a unit cube) #dok1
  • define (the volume of a three-dimensional figure as the number of unit cubes needed to fill it) #dok1
  • visualize (filling a three-dimensional figure with unit cubes) #dok2
  • calculate (the number of unit cubes needed to fill a figure, without gaps or overlaps) #dok2
  • explain (what it means for volume when unit cubes fill a space with no gaps or overlaps) #dok2
Learning Targets
  • I can recognize a cube with a side length of one unit as a unit cube. #dok1
  • I can define volume as the number of unit cubes needed to fill a three-dimensional figure. #dok1
  • I can visualize how to fill a three-dimensional figure with unit cubes. #dok2
  • I can calculate the number of unit cubes needed to fill a three-dimensional figure with no gaps or overlaps. #dok2
  • I can explain why volume is measured in cubic units when filling a space with unit cubes. #dok2
Big Ideas
  • Volume measures the amount of space inside a three-dimensional figure and is counted using unit cubes.
  • A unit cube is the basic measurement for volume, and determining volume involves filling a figure completely with unit cubes without any gaps or overlaps.
Essential Questions
  • What is a unit cube and how does it help us measure volume?
  • How do you figure out the volume of a three-dimensional figure using unit cubes?
  • Why must there be no gaps or overlaps when measuring volume with unit cubes?
  • How can you use unit cubes to visualize the concept of volume?
  • What does it mean for a cube to have a volume of 'n' cubic units?