The purpose of this activity is to engage students in using their number knowledge and skills to solve a problem requiring partitioning.
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.
The arithmetic approach (show more)
- The student is able to use partitioning to solve a challenging multiplication problem.
Prompts from the teacher could be:
- How many months are there in one year?
- How many months does it take for Bill to fill his piggy bank?
- How can you find the total amount he has saved?
- Can you do anything to the $27 or to the number of months to break this big calculation into smaller steps?
- How much has Bill got altogether in his piggy bank?
The conceptual approach (show more)
- The student is able to use tidy numbers to solve a challenging multiplication problem.