The purpose of this activity is to engage the students to use their knowledge of fractions and additive strategies to complete a whole.

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.

- Recognise simple fractions
- Use a fraction to represent a proportion
- Partition whole numbers
- Express a whole number as a sum of simple fractions
- Find fractions of a quantity - by shading a diagram
- Find fractions of a quantity - using number

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.

A pirate shares some of his treasure.

He gives ¼ to the cabin boy, ¼ to his first mate and ⅓ to the girl who feeds his parrot.

How much of his treasure does the pirate have left?

### The arithmetic approach (show more)

- The student is able to use whole numbers to model a situation in order to solve a problem involving fractions.

### The procedural approach (show more)

- The student is able to use shading to add fractions and to find the remainder of a whole.

### The conceptual approach (show more)

- The student is able to find and use a method to solve a problem involving fractions.