Mathematics Assessment Map – Sample at Level 3
Adding and subtracting with money
The sample is a collection of related NAPLAN 2008 - 2010 items that require students to add and subtract numbers to two decimal places in money contexts.
The element of the Number standard addressed by the task is:
(Students) devise and use algorithms for the addition and subtraction of numbers to two decimal places, including situations involving money.
The following sample illustrates the kinds of responses that students typically produce when they have achieved the elements of the standard addressed by this task.
Number – Level 3
The student correctly completes all of the following questions, without the assistance of technology:
NAPLAN 2008 Year 3 Question 4: $3.95
NAPLAN 2009 Year 3 Numeracy Question 30: $6
NAPLAN 2010 Year 3 Numeracy Question 10: $2.10
NAPLAN 2008 Year 3 Numeracy Question 32: $5.15
These questions demonstrate the student’s ability to solve money problems with decimal numbers to two decimal places, involving addition or subtraction.
Question 4 (2009) requires students to find a total sum of money in dollars and cents from a small number of coins.
Question 30 (2009) requires students to estimate a total for multiple purchases of the same items. This could be done by addition or multiplication. For the former approach the sum would be estimated as $2 + $2 + $2 for 3 kg of bananas where actual price is $1.98 per kg.
Question 10 (2010) could be done visually, with the student removing the required amount $1.95 = $(1.00 + 0.50 + 0.20 + 0.20 + 0.05) and noting the remaining money $(2 + 0.10).
Question 32 (2008) involves both addition (to find the total cost of the two items to be purchased, $2.80 + $2.05 = $4.85) and calculation of the difference from $10.00 to determine the correct change. This could be found by subtraction ($10.00 - $4.85 = $5.15) or by addition of the complement to $10.00 (If I have $4.85, how much more do I need to make up $10.00?).
If students were also to complete similar variations of these questions including problems involving notes as well as coins, in contexts where they would be familiar with the type of purchase, they would be working at Level 3 with respect to the key element of the standard described below.
Element of Number
(Students) devise and use algorithms for the addition and subtraction of numbers to two decimal places, including situations involving money.
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