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10/08/2011
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Ma4 Handling data

Customers visiting the local supermarket

Pupil's handwritten work in response to a mathematical task involving drawing charts and identifying mode.
There is a mathematical task at the top of the page, with the pupil's solution drawn on graph paper. The task states: Customers visiting the local supermarket. A survey was carried out to see how many customers entered the local supermarket. The survey took two hours and numbers were noted every five minutes. The results of the survey, First hour: 22, 28, 19, 20, 20, 24, 23, 24, 19, 23, 24, 26. Second hour: 28, 19, 20, 26, 21, 22, 22, 20, 19, 20 23. Record these results on a tally chart and on a bar chart. What is the mode? Below, the pupil has worked through the problem on graph paper. The title is: A bar graph to show how many customers went to the supermarket every 5 minutes for 2 hours. Below this, there are two columns showing 19 and 4 tally marks, 20 and 5 marks, 21 and 1 mark, 22 and 4 marks, 23 and 3 marks, 24 and 4 marks, 25 and 0, 26 and 2 marks, 27 and 0 and 29 and 2 marks. Below this, the pupil has written: the mode is, 20. Below this, table with values from 19 to 28 and the tally marks and recorded on a bar graph.

Teacher’s notes

  • Organises data on a tally chart.
  • Identifies the mode.
  • Draws a bar chart.

Next steps

  • Use a scale with regular intervals for the y-axis.
  • Label lines not spaces on the y-axis.

Spinner

Pupil's handwritten work to complete a mathematical activity about chance.
The activity is titled: Jo has this spinner. Below this, there is an image of a spinner, which is divided into 4 equal sections. Moving clockwise from the top section is the number 3, 6, 7 and 2. The arrow is pointing to the section containing number 5. Below this, is the question: What is her chance of spinning the numbers in the boxes below? Match each box to the correct word. Below this, there are three boxes on the left-hand side of the page and three words on the right-hand side. The pupil has drawn lines to match the boxes to words: 'an odd number' is matched with 'even chance', '4' is matched with 'impossible' and 'a number less than 8' is matched with 'certain'.

Teacher’s notes

  • Recognises odd and even numbers.
  • Explains his reasoning:
    • certain: ‘all the numbers are less than 8’
    • impossible: ‘there’s no 4’
    • even chance: ‘two out of the four numbers are odd’.

Next steps

Begin to recognise situations which are likely or unlikely.

What the teacher knows about Darren’s attainment in Ma4

Using a tally chart, Darren records data accurately. He represents the data on a bar chart, but requires assistance with choice of scale and setting it out on the axes. He extracts information from simple tables, bar charts and pictograms, provided it is a one-step interpretation. Darren is able to identify the mode of a set of data.