describe the relationship between \(π\) and the features of circles including the circumference, radius and diameter

How Bloomi helps with this

This is a NAPLAN-year topic. Bloomi teaches it with a short explainer, guided practice, and NAPLAN-style questions — every one traceable to this exact code.

What this looks like in the classroom

• recognising the features of circles and their relationships to one another; for example, labelling the parts of a circle including centre, radius, diameter, circumference and using one of radius, diameter or circumference to determine the measure of the other \(2\); understanding that the diameter of a circle is twice the radius, or that the radius is the circumference divided by \(2π\)
• comparing the circumference of circles in relation to their radius and diameter with materials and measuring, to establish measurement formulas; for example, using a compass to draw several circles, then using string to approximate the circumference, comparing the length of string to the diameter of the circle
• investigating \(π\) as the constant in the proportional relationship between the circumference of a circle and its diameter, and historical approximations from different civilisations, including Egypt, Babylon, Greece, India and China