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NSW Curriculum
NSW Education Standards Authority

K–10Mathematics K–10 Syllabus

Record of changes
Implementation for K–2 from 2023 and 3–10 from 2024
Expand for detailed implementation advice

Content

Stage 3

Representing quantity fractions B
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

  • 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)

  • Create equivalent fractions for half in quarters, eighths, sixths and tenths by re-dividing the whole, using diagrams and number lines

  • Record equivalent fractions using diagrams, words and fraction notation

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

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