Representing quantity fractions B

Mathematics K–10 (2022) · Stage 3 · View this focus area on the NESA NSW Curriculum website ↗

Outcomes

Content dot points

Each dot point has its own page with resources matched to it.

Recognise that a fraction can represent a division

• Identify how the relationship between the number being divided and the divisor is represented in a fraction

Compare common fractions with related denominators

• Order common fractions with related denominators using diagrams and number lines 1 resource · 1 interactive/game
• Subdivide the area of a rectangle by both length and width to represent the multiplicative relationship between common fractions
• Compare and represent fractions with denominators of 2, 4 and 8; 3 and 6; 5 and 10 of a whole shape (area model) and a collection of objects (discrete model) 3 resources · 3 interactive/game
• Create equivalent fractions for half in quarters, eighths, sixths and tenths by re-dividing the whole, using diagrams and number lines 4 resources · 4 interactive/game
• Record equivalent fractions using diagrams, words and fraction notation 2 resources · 2 interactive/game

Build up to the whole from a given fractional part

• Generate the whole quantity from non-unit fractional parts such as quarters, eighths, thirds, sixths, fifths and tenths (Reversible reasoning)

Use equivalence to add and subtract fractional quantities

• Solve word problems involving adding or subtracting fractional quantities with related denominators
• Represent fractional quantities with the same or related denominators to add and subtract fractions (Reasons about relations)

Find fractional quantities of whole numbers (halves, quarters, fifths and tenths)

• Calculate quarters and fifths of whole numbers that are multiples of the denominator, using a tape diagram
• Solve word problems involving a fraction of a quantity 1 resource · 1 interactive/game
• Find 1/2, 1/4, 1/5 and 1/10 of collections, expressing remainders as decimals

Stage 3 planning resources

Stage- or course-wide documents (scope and sequences, guides) that cover this focus area alongside others.

• Unit/Planning
  Sample scope and sequence – Stage 3
  NESA · Scope and sequence · Editable document · Free · Link checked 2026-10-15 · Australian context, Editable, Teacher notes
• Unit/Planning
  Making connections – Stage 3 (parallel content)
  NESA · Teaching advice (PDF) · Printable PDF · Free · Link checked 2026-10-15 · Australian context, Printable, Teacher notes