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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 l.jpg

Feeling hungry?

Have a slice of pie ;)



Pie charts3 l.jpg
Pie charts…..

  • Let us see a set of data very easily

  • Without using numbers

  • Here’s one now……


Every pie chart has l.jpg
Every pie chart has…

  • A title

  • A key

  • Sectors

    These follow….






Now let s try a real one l.jpg

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 l.jpg

Constructing a chart coffee or neither, using the tally method

Doing the Maths bit…


Back to the babylonians l.jpg
Back to the Babylonians coffee or neither, using the tally method

  • 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 l.jpg
Check out the factors of 360 coffee or neither, using the tally method

  • On your own or in pairs, work out as many factors of 360 as you can

  • Answers follow…


Factors of 360 l.jpg

1 coffee or neither, using the tally method

2

3

4

5

6

8

Factors of 360


Factors of 36019 l.jpg
Factors of 360 coffee or neither, using the tally method

  • 9

  • 10

  • 12

  • 15

  • 18

  • 20

  • 30


Factors of 36020 l.jpg
Factors of 360 coffee or neither, using the tally method

  • 36

  • 40

  • 45

  • 60

  • 72

  • 90

  • 120

  • 180


Working out the angles l.jpg
Working out the angles… coffee or neither, using the tally method

  • 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 l.jpg
Working it out…. coffee or neither, using the tally method

  • Then 1 in 12 prefer tea

  • 8 out of 12 prefer coffee

  • 3 out of 12 prefer “other” drinks


Changing the english to maths l.jpg
Changing the English to Maths coffee or neither, using the tally method

  • 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 l.jpg

1 tea out of 12 coffee or neither, using the tally method

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 l.jpg
Do the Maths….for tea coffee or neither, using the tally method

  • 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 l.jpg

1 coffee or neither, using the tally method 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 l.jpg

Do the Maths….for coffee coffee or neither, using the tally method

  • 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 l.jpg

Sector size for coffee coffee or neither, using the tally method

  • 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 l.jpg
Boxing clever coffee or neither, using the tally method

  • 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 l.jpg
Sector size for “other” coffee or neither, using the tally method

  • 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°


Looks like this l.jpg
Looks like this… coffee or neither, using the tally method


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