The purpose of this activity is to engage students in applying their number knowledge and strategies to solve a problem.
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.
- basic addition subtraction facts
- strategies for adding whole numbers
- strategies for subtracting whole numbers
- knowledge of whole number place values up to thousands
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 procedural approach (show more)
- The student is able to use a complex subtraction by breaking the problem into a set of simpler steps.
Prompts from the teacher could be:
- Roughly, how many more people are at the cricket than there were tickets.
- Roughly many more hundreds of tickets would you need to add so that everyone had one.
- Try adding on hundreds, tens and ones to get to the total number of people.
- How much did you need to add on?
The conceptual approach (show more)
- The student is able to use their addition and subtraction knowledge and strategies devise a method of solution for a complex subtraction.