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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 4

Ratios and rates
Recognise and simplify ratios
  • Use ratios to compare 2 or more quantities measured in the same units

  • Identify and express one part of a ratio as a fraction of the whole

  • Simplify ratios

Solve problems involving ratios
  • Apply the unitary method to solve ratio problems

  • Divide a quantity in a given ratio

  • Solve real-life problems involving ratios

Recognise and simplify rates
  • Explain the differences between ratios and rates

  • Represent given information as a simplified rate

  • Convert between units for rates

Solve problems involving rates
  • Solve a variety of real-life problems involving rates

  • Examine financial applications of rates, such as best buys

Interpret and construct distance–time graphs from authentic data
  • Interpret distance–time graphs made up of straight-line segments with a negative, zero or positive slope

  • Calculate speeds for straight-line segments of given distance–time graphs

  • Create distance–time graphs made up of straight-line segments

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