3 Dimensional Spatial Structure
S3 Volume
Aligned to the NSW Syllabus for The Australian curriculum (https://educationstandards.nsw.edu.au/wps/portal/nesa/home)
- outcomes and content listed below
- outcomes and content listed below
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Teaching Volume - Australian Curriculum
Interactive Volume - ictgames
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Interactive Volume - nctm
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Syllabus Outcomes
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
MA3-3DS-02 Selects and uses the appropriate unit to estimate, measure and calculate volumes and capacities
MA3-3DS-02 Selects and uses the appropriate unit to estimate, measure and calculate volumes and capacities
Content
Three-dimensional spatial structure A
Volume: Choose appropriate units of measurement for capacity
Volume: Use cubic metres for measurement of volume
Volume: Choose appropriate units of measurement for capacity
- Select and use appropriate units to measure the capacities of a variety of containers
- Recognise that an object’s volume takes up space by observing the change in water level when an object is placed in a container of water
- Compare the volumes of 2 or more objects by marking the change in water level when each is submerged in a container
- Recognise the equivalence of whole-number and decimal representations of measurements of capacities
- Interpret decimal notation for capacities
- Record measurements to 3 decimal places
Volume: Use cubic metres for measurement of volume
- Recognise the need for a formal unit larger than the cubic centimetre
- Construct and use the cubic metre as a unit to measure larger volumes
- Estimate and measure volumes in cubic metres
- Describe the length, width and height of a rectangular prism as the dimensions of the prism
- Describe arrangements of cubic-centimetre blocks in terms of layers
- Establish the relationship between the number of cubes in one layer and the number of layers to find the volume of a rectangular prism (Reasons about spatial structure)
- Construct rectangular prisms using cubic-centimetre blocks and determine the volumes
- Explain that objects with the same volume may be different shapes (Reasons about spatial structure)
- Record, using words, the method for finding the volumes of rectangular prisms
- Recognise that rectangular prisms with the same volume may have different dimensions (Reasons about spatial structure)
- Calculate volumes of rectangular prisms in cubic centimetres (cm3) and cubic metres (m3)
updated Feb 2023
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