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Feeling hungry?. Have a slice of pie ;). Pie charts. Pie charts…. Let us see a set of data very easily Without using numbers Here’s one now……. Every pie chart has…. A title A key Sectors These follow…. Title. A key. Sectors. More pie charts.

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feeling hungry

Feeling hungry?

Have a slice of pie ;)

pie charts3
Pie charts…..
  • Let us see a set of data very easily
  • Without using numbers
  • Here’s one now……
every pie chart has
Every pie chart has…
  • A title
  • A key
  • Sectors

These follow….

now let s try a real one
Do a survey of the group and whether people prefer tea, coffee or neither, using the tally method

Let’s see what that looks like as a pie chart

End E3 here

Now let’s try a real one
constructing a chart

Constructing a chart

Doing the Maths bit…

back to the babylonians
Back to the Babylonians
  • They divided a circle into 360 degrees
  • This matched the number of days in a year very closely
  • It is also a number with many factors, so it is easy to divide down and calculate with, without getting into fractions ;)
check out the factors of 360
Check out the factors of 360
  • On your own or in pairs, work out as many factors of 360 as you can
  • Answers follow…
factors of 36019
Factors of 360
  • 9
  • 10
  • 12
  • 15
  • 18
  • 20
  • 30
factors of 36020
Factors of 360
  • 36
  • 40
  • 45
  • 60
  • 72
  • 90
  • 120
  • 180
working out the angles
Working out the angles…
  • Let’s imagine we do a survey of 12 people to find out whether they prefer tea, coffee, or some other drink
  • Let’s say there is 1 who prefers tea, 8 coffee and 3 some other drink…
working it out
Working it out….
  • Then 1 in 12 prefer tea
  • 8 out of 12 prefer coffee
  • 3 out of 12 prefer “other” drinks
changing the english to maths
Changing the English to Maths
  • 1 in 12 for tea = 1/12
  • 8 out of 12 for coffee = 8/12
  • 3 out of 12 for “other” = 3/12
calculating the angles
1 tea out of 12

8 coffee out of 12

3 “other” out of 12

Tea sector = 1/12 x 360

Coffee = 8/12 x 360

“Other” = 3/12 x 360

Calculating the angles
do the maths for tea
Do the Maths….for tea
  • 1 x 360

12

You can put any number over 1 - this doesn’t change its value, and lets you multiply it as a fraction

  • 1 x 360

12 1

sector size for tea
1 x 360

12 1

1 x 360 = 360

360 divided by 12 = 30

So the sector for tea will be 30 degrees wide

Sector size for tea
slide27

Do the Maths….for coffee

  • 8 x 360

12

You can put any number over 1 - this doesn’t change its value, and lets you multiply it as a fraction

  • 8 x 360

12 1

slide28

Sector size for coffee

  • 8 x 360

12 1

  • 2 x 360

3 1

  • Reduce 8/12 to its lowest terms – 2/3
  • Either do 360 x 2 and divide by 3
  • Or divide the 360 first by 3 then double it
  • = 240 degrees
boxing clever
Boxing clever
  • Some people always work out the basic sector first and then multiply up from that
  • We know 1/12 prefer tea = 30 degrees
  • Coffee is 8/12 – so that will be 8 x 30!
  • Now let’s see the “other” category
sector size for other
Sector size for “other”
  • 3/12 prefer “other”
  • We know 1/12 = 30 degrees
  • So 3/12 will be 90 degrees (90°)
  • Also, 3/12 = ¼ , and a quarter of a circle is 90°
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