Year 6 · Pie Charts, Line Graphs and the Mean · Summary
Year 6 Pie Charts, Line Graphs and the Mean: summary and key words
Part of the Year 6 pie charts, line graphs and the mean chapter. Chapter overview · whole chapter on one page
Chapter summary
| Skill | Method |
|---|---|
| Pie chart | The whole pie is 360 degrees, and it is 100 per cent. The sectors add up to the whole. |
| Angle of a sector | Fraction of the whole, times 360 degrees. Per cent can be used the same way. |
| Number in a sector | Angle ÷ 360 × total, or per cent ÷ 100 × total. |
| Drawing a pie chart | Write each group as a fraction of the total, times 360. The angles must add up to 360. |
| Line graph | Read the point, go across to the scale. Join the points in order with straight lines. |
| Change and rate | Change = end value minus start value. Rate for each hour = change ÷ number of hours. |
| Mean | Mean = total ÷ number of values. Count every value, including a zero. |
| Totals and missing values | Total = mean × number of values. Missing value = total minus the values you know. |
| Two groups | Add the two totals, then divide by the number of values in both groups. |
Can you…?
- I can read the per cent and the angle of a sector on a pie chart.
- I can find the number in a sector from its angle or per cent, when the total is known.
- I can work out the angle of each sector from a table, and check that the angles add up to 360.
- I can read values from a line graph, and plot points on a scale.
- I can solve problems with line graphs: differences, totals, the biggest rise and the average change for each hour.
- I can find the mean of a set of values, and count every value, including a zero.
- I can use the mean to find a total or a missing value, and explain what the mean does and does not tell us.
Key terms
- Pie chart
- A circle split into sectors, where each sector shows a part of the whole.
- Sector
- A slice of a pie chart, with its own angle and its own share of the whole.
- Per cent
- Out of 100. A whole pie chart is 100 per cent.
- Line graph
- A graph that marks a point for each time or week, and joins the points with straight lines.
- Scale
- The numbers up the side of a graph, which show the value of each point.
- Gridline
- A line across a graph that helps you read a value exactly.
- Mean
- The average: the total of the values divided by the number of values.
- Total
- All the values added together.
- Rate
- How much something changes for each unit, such as each hour.
- Average
- A single value that represents a set of values. In this chapter, the average is the mean.