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Assessment Resource Centre (ARC)

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  1. Years 7-8
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  4. Operations with Fractions
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Operations with Fractions


Grade Work Samples
Midway through Stage 4 (end of Year 7) End of Stage 4 (end of Year 8)
Grade A Ariel   Robyn   Cameron  
Grade B Drew   Darcy   Shannon  
Grade C Sascha   Marley   Pat   Indra   Jessie  
Grade D Tai   Chandra   Eden   Haley   Mackenzie   Kerry   Courtney   Jordon  
Grade E Reese   Sam   Ashley  
New Work Samples
Kelsey
Jody
Mel
Xiang
Bobby

Description of activity

Operations with fractions

See the attached worksheet.

Context

Number, Working Mathematically

This assessment activity could be presented to students at the end of a unit on fractions, where students have been investigating the four operations and solving problems related to fractions.

Outcomes

Fractions, Decimals and Percentages (NS4.3)
Operates with fractions, decimals, percentages, ratios and rates

Applying Strategies (WMS4.2)
Analyses a mathematical or real-life situation, solving problems using technology where appropriate

Communicating (WMS4.3)
Uses mathematical terminology and notation, algebraic symbols, diagrams, text and tables to communicate mathematical ideas

Reasoning (WMS4.4)
Identifies relationships and the strengths and weaknesses of different strategies and solutions, giving reasons

Reflecting (WMS4.5)
Links mathematical ideas and makes connections with, and generalisations about, existing knowledge and understanding in relation to Stage 4 content

Criteria for assessing learning

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

Students will be assessed on their ability to:

  • perform the processes of addition and multiplication of fractions
  • apply multiplication of fractions in a meaningful context.

Possible prompts to assist student engagement

  • Is there another denominator you could use to add these two fractions?
  • If you make a mistake in shading, draw another grid, and try again.
  • Have you checked your calculations?
  • Have you shown all necessary working?
  • Can you do the calculation another way? Do you get the same answer?

Suggested materials

Pen and paper, worksheet

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