The purpose of this activity is to engage students in using knowledge of basic facts, to solve a problem in context.

The background knowledge and skills that should be established before and/or during this activity are outlined in the diagram below:

Click to show example questions for each heading

This activity may be carried out with step by step 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.

A class of 24 students is planning a camping trip.

The school has tents that fit three people each and backpacks that can be shared one between two students.

The teacher wants the class to be split into cooking groups that will be as small as possible so that everyone sharing a tent will be in the same cooking group.

Also, each pair of students sharing a backpack will need to be in the same cooking group.

How many students will be in each cooking group? Explain how you arrived at your answer.

### The procedural approach (show more)

- The student is able to solve a context problem, using common factors and lowest common multiples with guidance.

### The conceptual approach (show more)

- The student is able to solve a context problem, using common factors and lowest common multiples.