### What percentage of the shape is shaded white?

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Percentages
Understanding percentage as the
number of parts in every 100
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Chris Clements
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<date>
Learning Objective:
LO: I know that 'per cent' means
parts in every 100 .
Percentage (%)
The word ‘percentage’
originates from a Latin word
meaning by the hundred.
Can you think of any words
that begin with ‘cent’?
centipede
century
cents
What do you notice?
Look at the square. 100% of is shaded purple.
Can you see it is made up of 100 equal parts?
What percentage
of the shape is
What percentage
of the shape is
90% + 10% = 100%
What percentage
of the shape is
What percentage
of the shape is
50% + 50% =
100%
What fraction is equivalent to 50%?
What percentage
of the shape is
What percentage
of the shape is
25% + 75% =
100%
What fraction is equivalent to 25%?
What fraction is equivalent to 75%?
Now the square is made up of 10 different colours.
What percentage
of each colour is
there?
What fraction is
10% equivalent to?
10% x
10
=
100%
What percentage
of the shape is
What percentage
of the shape is
37% + 63% =
100%
What percentage
of the shape is
What percentage
of the shape is
61% + 39% =
100%
What percentage
of the shape is
What percentage
of the shape is
88% + 12% =
100%
What percentage
of the shape is
What percentage
of the shape is
What percentage
of the shape is
30% + 50% + 20% = 100%
What percentage
of the shape is
What percentage
of the shape is
What percentage
of the shape is
35% + 35% + 30% = 100%
What percentage
of the shape is
What percentage
of the shape is
What percentage
of the shape is
22% + 56% + 22% = 100%
What percentage
of the shape is
What percentage
of the shape is
What percentage
of the shape is
50% + 46% + 4% = 100%
What do you notice
To work out the
percentage we
first need to find
what % each part
is worth?
To do this we need
to divide a 100 by
the number of
parts.
100% ÷ 20 = 5%
Each part = 5%
What percentage
of the shape is
5% x 13 = 65%
What percentage
of the shape is
5% x 7 = 35%
65% + 35% = 100%
Steps to success
1) Remember one whole is equal to 100%
2) Find the percentage of parts shaded
3) Check to see if the unshaded part +
For shapes not divided into 100 parts. Use this formula
to work out what percentage each part is worth;
100 ÷ No. of parts in a shape = % of each part
100 ÷ 2 (no. of parts) = 50%
Each part of this shape = 50%
Plenary
½
25%
¼
50%
10%
75%
1
10
¾
Can you match the percentages to the
same value fraction?
34%
46%
58%
91%
19%
23%
Which of these
fractions show
more than ½?
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