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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

Volume
Describe the different views of prisms and solids that have been formed from prism combinations
  • Represent prisms from different views in 2 dimensions, including top, side, front and back views

  • Describe and illustrate solids formed from prism combinations from different views in 2 dimensions, including top, side, front and back views

  • Identify and illustrate the cross-sections of different prisms

  • Examine the idea that prisms have a uniform cross-section that is equal to the base area

  • Determine if a particular solid has a uniform cross-section

Develop and apply the formula to find the volume of a prism to solve problems
  • Apply the formula for the volume of a prism to prisms with uniform cross-sections to solve problems

Develop the formula for finding the volume of a cylinder and apply the formula to solve problems
Choose appropriate units of measurement for volume and capacity and convert between units
  • Recognise that 1000 L is equal to 1 kilolitre (kL) and use the abbreviation

  • Recognise that 1000 kL is equal to 1 megalitre (ML) and use the abbreviation

  • Choose an appropriate unit to measure the volume or capacity of different objects and justify the choice

  • Solve practical problems involving the volume and capacity of right prisms and cylinders

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