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.

Proficiencies

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.

1 Fluency
Identifies different parts of the fractions 2 Understanding
Describes operations on the fraction to create equivalent fractions 3 Understanding
Reduces a number to the product of its prime factors

  • Annotations

  • 1
    Fluency
    Identifies different parts of the fractions
  • 2
    Understanding
    Describes operations on the fraction to create equivalent fractions
  • 3
    Understanding
    Reduces a number to the product of its prime factors
1 Understanding
Uses the reduction of the fraction to its prime factors to simplify the fraction

  • Annotations

  • 1
    Understanding
    Uses the reduction of the fraction to its prime factors to simplify the fraction