AC9M8M03

See also: Learning Areas / Mathematics / Mathematics / Measurement / Year 8

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

Elaborations

• AC9M8M03_E1 - 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
• AC9M8M03_E2 - 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
• AC9M8M03_E3 - 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
• AC9M8M03_E4 - exploring traditional weaving designs by First Nations Australians and investigating the significance and use of circles

Achievement Standard Components

• ASMAT801 - By the end of Year 8, students recognise irrational numbers and terminating or recurring decimals.
• ASMAT811 - Students use formulas to solve problems involving the area and circumference of circles.