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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 1

Three-dimensional spatial structure A
3D objects: Recognise familiar three-dimensional objects
  • Use the term ‘three-dimensional’ to describe a range of objects

  • Distinguish between objects, which are three-dimensional (3D) and shapes which are two-dimensional (2D)

  • Identify and name familiar three-dimensional objects, including cubes, cylinders, spheres and rectangular prisms

3D objects: Sort and describe three-dimensional objects
  • Manipulate and describe familiar three-dimensional objects

  • Use the term ‘surface' in describing familiar three-dimensional objects

  • Sort familiar three-dimensional objects according to obvious features

  • Use the term ‘face’ to describe the flat surfaces of three-dimensional objects with straight edges

  • Select and name a familiar three-dimensional object from a description of its features

Volume: Measure and compare the internal volumes (capacities) of containers by filling
  • Use uniform informal units to measure how much a container will hold by counting the number of times a smaller container can be filled and emptied into the container being measured

  • Select appropriate informal units to measure the capacities of containers

  • Recognise and explain the relationship between the size of a unit and the number of units needed (Reasons about relations)

  • Compare the internal volumes of two or more containers using appropriate uniform informal units

  • Recognise and explain why containers of different shapes may have the same internal volume (Reasons about relations)

  • Estimate how much a container holds by referring to the number and type of uniform informal unit used and check by measuring

Volume: Measure the internal volume (capacity) of containers by packing
  • Pack cubic units (eg blocks) into rectangular containers so that there are no gaps

  • Recognise that cubes pack better than other objects in rectangular containers (Reasons about spatial structure)

  • Estimate and measure the internal volume of a container by filling the container with uniform informal units and counting the number of units used

  • Explain that if there are gaps when packing and stacking, this will affect the accuracy of measuring the internal volume

Volume: Construct volumes using cubes
  • Explore different rectangular prisms that can be made from a given number of cubes

  • Devise and explain strategies for stacking and counting units to form a rectangular prism (Reasons about spatial structure)

  • Record volumes, referring to the number and type of uniform informal unit used

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