The purpose of this activity is to engage students in a practical investigation that leads to comparing fractions and/or decimals quantitatively.

The background knowledge and skills that need to 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.

In images of Greek gods and heroes, their full height tends to be 8 1/2 lots of their head height.

The average year 7 or 8 student has a height to head height ratio of 7.

Measure your full height and head height (in the same units), to find your height to head height ratio.

Use this ratio, and the example below, to say how much of a hero you are.

### The arithmetic approach (show more)

- The student is able to use numerical techniques to solve a problem comparing or fractions quantitatively.

### The conceptual approach (show more)

- The student is able to use original techniques to solve a problem comparing decimals or fractions.