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Assessment Resource Centre (ARC)

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  4. Surface Area and Volume
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Surface Area and Volume


Grade Work Samples
End of Stage 5 (end of Year 10)
Grade C Kerry(C6)   Chris(C6)   Taylor(C6)   Frances(C6)  
Grade D Drew(D3)  
Grade E Riley(E2)  

Description of activity

Students complete a worksheet involving the calculation of either the surface area or the volume of different three-dimensional objects.

Context

Measurement, Working Mathematically

This assessment activity could be presented to students at the end of a unit on Measurement, where students have been applying formulae to calculate the surface area and volume of three-dimensional objects, and applying their knowledge, skills and understanding in a variety of contexts.

Areas for Assessment

  • Working mathematically
    Knowledge, skills and understanding developed through inquiry, application of problem-solving strategies, communication, reasoning and reflection
  • Measurement
    Knowledge, skills and understanding in identifying and quantifying attributes of shapes and objects and applying measurement strategies

Outcomes

Surface Area and Volume
MS4.2
Calculates surface area of rectangular and triangular prisms and volume of right prisms and cylinders
MS5.2.2
Applies formulae to find the surface area of right cylinders and volume of right pyramids, cones and spheres, and calculates the surface area and volume of composite solids

Applying Strategies
WMS5.1.2
Analyses a mathematical or real-life situation, systematically applying problem-solving strategies
WMS5.2.2
Selects and uses appropriate problem-solving strategies that include selecting and organising key information and identifying and working on related problems

Communicating
WMS5.2.3
Uses appropriate mathematical language and algebraic, statistical and other notations and conventions in written, oral or graphical form

Criteria for assessing learning

(These criteria would normally be communicated to students with the activity.)

Students will be assessed on their ability to:

  • demonstrate knowledge, skills and understanding in relation to surface area and volume
  • apply strategies to solve problems involving surface area and volume
  • communicate mathematical ideas
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