007 Covered With Heaps of Cubes

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Teacher Notes


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Activity OutcomeReading, writing, saying and understanding whole numbers to 100 000's. Area
MTS Set MTS6
NATIONAL Curriculum The Number System
Topics Understand Whole Numbers
Keywords Strategies, Large Numbers, Integers, Area
GroupingIndependent
ResourcesHave measuring materials available for students to select as required. A calculator should also be available for each student.
Lesson Notes
  • Encourage students to independently register a conjecture (greater or less than 100 000) before any discussion takes place.
  • Share ideas around the class, i.e. students use large numbers in context and give mathematical reasoning to support their conjecture ("I think more than 100 000 one centimetre cubes because...").
  • Give students the opportunity to reassess their conjecture.
  • Students independently create and describe their strategy without viewing a carpark bay or measuring materials, i.e.
  • they visualise their plan.
  • Students negotiate with the teacher in regard to their strategy and the materials they will need before carrying out their working.
  • After students have described a viable plan allow them to carry out their working. Note: Their plan need not result in an exact answer. (Students should plan according to an inquiry process such as Investigation, Materials, Strategy, Working, Finding)
  • Students share plans and results. Listeners question plans and results as appropriate.
  • Students, as a group, choose the most appropriate and efficient strategy to solve the problem.
  • Extend: Students create an area that is needed to show one million MAB small cubes. Discuss different shapes that could be created to show the million cubes.
ReflectionsUse the Reflection Table provided on the activity sheet. Students use mathematical explanations to justify their personal rating.
Internet Links
AnswersAnswers will vary