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Assessment Resource Centre (ARC)

  1. Stage 2
  2. Mathematics
  3. Activities
  4. Ordering fractions and decimals
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Ordering fractions and decimals

Grade Work Samples
End of Stage 2 (end of Year 4)
Grade A Lee   Lindsay  
Grade B Jamie   Chris  
Grade D Riley   Kerry  
Grade E Indra  

Foundation Statement strands

The following strands are covered in this activity:

Working Mathematically, Number

Description of activity

Students order fractions, decimals and percentages on a number line and record their reasoning.

  1. Students are presented with a set of fractions, decimals and percentages: , 0.05, , 0.45, 20%, 90%, 65%, , 0.8.
  2. They order and place the numbers on an empty number line and record their reasoning for the order.
  3. Students select two of the numbers and list numbers between the two.

The suggested time allocation for this activity is 30 minutes.

Suggested materials

Blank paper, pencils/pens

Prior learning

Students have had experience ordering numbers less than one. They have had experience with fractions and decimals to two places and have modelled, compared and represented the relationship between tenths and hundredths.

Board of Studies NSW, Mathematics K–6 Syllabus, pp 62, 63
Board of Studies NSW, Mathematics K–6 Sample Units of Work, p 101


Fractions and Decimals (NS2.4)
Models, compares and represents commonly used fractions and decimals, adds and subtracts decimals to two decimal places, and interprets everyday percentages
Applying Strategies (WMS2.2)
Selects and uses appropriate mental or written strategies, or technology, to solve problems
Communicating (WMS2.3)
Uses appropriate terminology to describe, and symbols to represent, mathematical ideas
Reasoning (WMS2.4)
Checks the accuracy of a statement and explains the reasoning used

Criteria for assessing learning

Students will be assessed on their ability to:

  • order given fractions, decimals and percentages on a number line
  • explain their reasoning in a given mathematical situation
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