Mathematics Assessment Map – Sample at Level 6
Bottles and barrels (includes employability skills)
Context
In this activity, students calculated the volume of a cylinder and then applied this knowledge to calculating the volume of a wine barrel. They were also asked to reflect on their problem solving strategies.
The elements of the Measurement, chance and data standard addressed by the task are:
(Students) interpret and use mensuration formulas for calculating the perimeter … and volume of familiar two- and three-dimensional shapes.
(Students) … convert between units of measurement as appropriate.
See Bottles and barrels worksheet (Doc - 1MB)
Samples
The following samples illustrate the kinds of responses that students typically produce when they have achieved the elements of the standard addressed by this task.
Sample 1
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This sample is also used in other Mathematics Level 6 dimensions.
Annotation
Measurement, chance and data – Level 6
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C. Calculates the volume of a cylinder by formula.
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D. Converts between units of measurement, for example, volume (m3) to litres and then bottles.
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E. Interprets and uses formulas for three-dimensional shapes.
Elements of Masurement, chance and data
(Students) … convert between units of measurement as appropriate.
(Students) interpret and use mensuration formulas calculating the perimeter … and volume of familiar two - and three-dimensional shapes
Sample 2
This sample is also used in other Mathematics Level 6 dimensions.
Annotation
Measurement, chance and data – Level 6
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J. Interprets and uses formulas for three-dimensional shapes.
Element of Measurement, chance and data
(Students) interpret and use mensuration formulas for calculating the perimeter … and volume of familiar two- and three-dimensional shapes …
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