Bill's Dollars


The purpose of this activity is to engage students in using their number knowledge and skills to solve a problem requiring partitioning.

Achievement Objectives
NA3-1: Use a range of additive and simple multiplicative strategies with whole numbers, fractions, decimals, and percentages.
NA3-2: Know basic multiplication and division facts.
NA3-6: Record and interpret additive and simple multiplicative strategies, using words, diagrams, and symbols, with an understanding of equality.
Description of Mathematics

In readiness for this problem, the students should have familiarity with each of the following components of mathematics. The problem may be solved with different combinations of these components.

  • additive strategies
  • basic addition facts
  • knowledge of the structure of the calendar
  • partitioning whole numbers
  • multiplication of whole numbers

This activity may be carried out with guidance, or by allowing the student to follow their own method of solution. The approach should be chosen in sympathy with students’ skills and depth of understanding.



Bill puts exactly $27 into his piggy bank every month.

It takes one year and seven months to fill. How much money will Bill have in his full piggy bank?



The arithmetic approach (show more)

  • The student is able to use partitioning to solve a challenging multiplication problem.

The conceptual approach (show more)

  • The student is able to use tidy numbers to solve a challenging multiplication problem.
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Level Three