AC9M8M03 Year 8 Mathematics

This Content Descriptor from Year 8 Mathematics provides the specific knowledge and skills students should learn. Use it to plan lessons, create learning sequences, and design assessments that align with the Australian Curriculum v9.

solve problems involving the circumference and area of a circle using formulas and appropriate units

Elaborations

• 1 deducing that the area of a circle is between \(2\) radius squares and \(4\) radius squares, and using \(3\times\)radius\(^2\) as a rough estimate for the area of a circle
• 2 investigating the area of circles using a square grid or by rearranging a circle divided into smaller and smaller sectors or slices to resemble a close approximation of a rectangle
• 3 applying the formulas for the area and circumference of a circle to solve practical problems, and using one of the measures of radius, diameter, circumference or area to deduce the value of the other measures; for example, determining the length of material needed to edge a round table, given its dimensions as the area of the tabletop
• 4 exploring traditional weaving designs by First Nations Australians and investigating the significance and use of circles

Related Achievement Standards