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10/08/2011
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Ma4 Handling data

Pupil's hand-drawn table and bar chart showing the number of pupils who own different pets, with teacher's comment.
The pupil has drawn a table and graph below representing this data on graph paper. The table is titled 'How many pets do the children'. The table is divided into three columns, titled pets, tallies and total, and six rows below this. The rows contain the types of pets: dogs, cats, mouse, rabbits, snakes and hampsters. The tallies column shows 12 dogs, 7 cats, 4 mice, 5 rabbits, 1 snake and 6 hampsters. These are all represented as numbers in the total column. All the tallies in the tallies column have ticks next to them, with a comment from the teacher below: 'great'. This data is represented on a bar chart below, the x axis recording the number of pupils, from 0 to 12. The y axis shows all six pets.

Teacher’s notes

  • Records votes, using tally marks, and totals them to create a frequency table.
  • Independently constructs bar chart where one unit on the vertical axis represents one child.
  • Answers questions such as ‘How many pets altogether?’ ‘How many more dogs than snakes?’

Next steps

  • Label and title graph.
  • Construct bar charts where the vertical axis goes up in twos.
  • Use the mathematical convention of leaving a space between bars that represent discrete data.

What the teacher knows about David’s attainment in Ma4

David sorts shapes and numbers using a Carroll diagram. He collects information and records it, putting it into a list, given a table or a computer database. He creates block graphs and pictograms where one symbol represents one unit. He makes appropriate choices for collecting data, such as tally charts, but needs support to decide the best way to present the information, for example using a pictogram or a bar chart.

He answers questions about the data such as ‘How many more…?’ David extracts and interprets information from a range of bar charts. He reads scales labelled in twos, fives and tens and is beginning to read in between labelled divisions, for example between 10 and 12. He interprets pictograms where the symbol represents 2 or 10, including half symbols, but is not yet able to construct them independently.