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 Number standard addressed by the task are:
(Students) use appropriate estimates to evaluate the reasonableness of the results of calculations involving rational and irrational numbers, and the decimal approximations for them.
(Students) carry out computations to a required accuracy in terms of decimal places and/or significant figures.
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
Number – Level 6
-
A. Carries out computations to required accuracy using relevant formulas.
Element of Number
(Students) carry out computations to a required accuracy in terms of decimal places and/or significant figures.
Sample 2






This sample is also used in other Mathematics Level 6 dimensions.
Annotation
Number – Level 6
-
I. Carries out computations to required accuracy using relevant formulas
Elements of Number
(Students) use appropriate estimates to evaluate the reasonableness of the results of calculations involving rational and irrational numbers, and the decimal approximations for them.
(Students) carry out computations to a required accuracy in terms of decimal places and/or significant figures.
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