003 A Cubic Metre

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Teacher Notes


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Activity OutcomeReading, writing, saying and understanding whole numbers to the millions. Measuring Volume. Exploring the attributes of rectangular prisms.
MTS Set MTS7
NATIONAL Curriculum The Number System
Topics Understand Whole Numbers
Keywords Volume, Strategies, Large Numbers, Integers
GroupingLearning pairs
ResourcesHave available: 1 cm cubes, metre tapes or rulers, calculators
Lesson Notes
  • Allow students time and space in their learning pairs to develop strategies and commence working (measures etc) before interacting with them.
  • Come together as a class when most learning pairs appear to have initiated a strategy for the first problem. Share ideas and encourage students to question each other.
  • Allow students the opportunity to reassess their strategy and working as necessary.
  • Repeat for Investigation 2.
  • Discuss: How many cubic centimetres in 2 m3? 3? 4? 10? ... Is a cubic metre always the same shape? How many shapes can we make that are a cubic metre?
  • Note: The term cubic metre is a little confusing as it refers to the amount (volume) of space taken up and not the shape (cube). That is, any space equivalent to 1 m x 1 m x 1 m, regardless of its shape, is referred to as a cubic metre.
  • Extend: Investigate measurement of difficult volumes such as the volume of spheres.
ReflectionsAsk: Did you go back and change your plan while you were working? How did you know you had answered the question? Did you work well as a team? Give me an example of how you did (or did not) work well as a team?...
Internet Links
AnswersInvestigation 1. 1 cubic metre = 1 000 000 cubic centimetres Investigation 2. A cubic metre can be represented by any shape where the length x width x height = 1 000 000 cm3 e.g. 10 cm x 100 cm x 1000 cm, 500 cm x 200 cm x 10 cm...