Mathematics proficiencies

Understanding / Fluency

Year 8

Number and algebra: Simplifying fractions

Summary of task

Students were asked to solve a problem, where they had to determine the missing numerator in a fraction. They were given a set of clues to calculate the numerator.


At this year level understanding includes describing patterns involving indices and recurring decimals, identifying commonalities between operations with algebra and arithmetic, connecting rules for linear relations with their graphs, explaining the purpose of statistical measures and explaining measurements of perimeter and area.

At this year level fluency includes calculating accurately with simple decimals, indices and integers; recognising equivalence of common decimals and fractions including recurring decimals; factorising and simplifying basic algebraic expressions and evaluating perimeters and areas of common shapes and volumes of three-dimensional objects.