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K–10Mathematics K–10 Syllabus

Record of changes
Implementation from 2024
Expand for detailed implementation advice
OverviewRationaleAimOutcomesContentAssessmentGlossaryTeaching and learning support

Content

Stage 4

Volume
  • MAO-WM-01

    develops understanding and fluency in mathematics through exploring and connecting mathematical concepts, choosing and applying mathematical techniques to solve problems, and communicating their thinking and reasoning coherently and clearly

  • MA4-VOL-C-01

    applies knowledge of volume and capacity to solve problems involving right prisms and cylinders

Related Life Skills content for Stage 4
Volume, capacity and mass
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 Loading  from different views in 2 dimensions, including top, side, front and back views

  • Identify and illustrate the Loading  of different prisms

  • Examine the idea that prisms have a Loading  cross-section that is equal to the Loading  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

  • Develop the formula for the volume of a prism: V=base area×height, leading to V=Ah 

  • 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

  • Develop and apply the formula to solve problems involving the volume of cylinders:  V=πr2h, where r is the length of the radius of the base and h is the perpendicular height

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 Loading  or Loading  of different Loading  and justify the choice

  • Convert between metric units of volume and capacity (1 cm3 = 1000 mm3, 1 cm3 = 1 mL, 1 m3 = 1000 L = 1 kL, 1000 kL = 1 ML)

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

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