001 Hundreds of Cubes

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Teacher Notes


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Activity OutcomeReading, writing, saying and counting whole numbers to 100's. Area. Volume.
MTS Set MTS4
NATIONAL Curriculum The Number System
Topics Multiples
Understand Whole Numbers
Keywords Large Numbers, Counting
GroupingWhole class and learning pairs
ResourcesMAB small cubes - several hundred per learning pair
Lesson Notes
  • Find Out 1. Ask: How many small cubes do you estimate will cover the square? Students jot down their response on the square. Discuss strategies used to make estimates.
  • Focus student attention on the inquiry steps: Find Out, Materials, My Plan, My Working, My Finding. Discuss the plan students are to follow.
  • Students use the small cubes to check their estimates. Ask: How did you count your small cubes? ("I counted the rows of 10." " I counted from 1 to 100." "I counted 10 rows of 10 and did a sum."...).
  • Ask: Why is it a good idea to compare answers with other groups?
  • Find Out 2. Ask: Can you imagine how many cubes would fit on the square if you had another layer? Third layer?...
  • Direct students to work in learning pairs to find a way to use the table to help solve the inquiry question. Discuss ideas from around the class. (Students are learning that, to solve a complex problem involving many layers of cubes, we can solve a simpler problem first involving a single layer of cubes and then use patterns in numbers to predict a solution to the complex problem.)
  • After students have found solutions ask questions such as: How many cubes in five layers? 7 layers?... where answers are given in multiples of 100 and into 1000's.
  • Extend: Investigate layers of cubes on other squares and rectangles.
  • Extend - Ask: How much space would we need if we stacked 1000 MAB large cubes?
ReflectionsAsk: How are all cubes the same? How might cubes be different?
Internet Links
AnswersNot applicable