Numeracy booklet percentages

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Experiences and Outcome : MNU 2-07a
I have investigated the everyday contexts in which simple fractions, percentages or
decimal fractions are used and can carry out the necessary calculations to solve related
problems.
Success
Criteria
How to do it:
I can identify
the
percentage
symbol
The percentage sign is %
I can change Divide the percentage by 100 and simplify if possible.
a percentage
to a simple
fraction
50% 
25% =
I can find a
missing
percentage
10% =
Think of dividing the
numerator and the
denominator by the
numerator.
Subtract the percentage(s) from 100%.
If the school is made up of 60% boys what percentage are girls?
100% – 60% = 40%
I can find a
simple
percentage
of a given
amount
Change the percentage to a simple fraction.
50% of £10 
x £10 
25% of 40g  x 40 
= £5
= 10g
Think of the %
divided by 100
Experiences and Outcome : MNU 2-07b
I can show the equivalent forms of simple fractions, decimals and percentages and can
choose my preferred form when solving a problem, explaining my choice of method.
Success
Criteria
How to do it:
I can change
a simple
percentage
to a fraction
or a decimal
Divide the percentage by 100 and simplify if possible.
I can choose
my preferred
form
Change the percentage to a fraction or a decimal.
10% 
=
= 0.1
25% of 40
 x 40 
= 40 ÷ 4 = 10
50% of 40
 0.5 x 40 = 20
Think of 25%
as
Think of 50%
as 0.5
Experiences and Outcome: MNU 3-07a
I can solve problems by carrying out calculations with a wide range of fractions, decimals
and percentages, using my answers to make comparisons and informed choices for real
life situations.
Success
Criteria
How to do it:
I can calculate a
percentage
change
Change the numbers given into a fraction, then multiply by 100%.
A computer game costs £20. Its price goes up by £2. Calculate the percentage increase in
price?
increase £20 by £2 
x
=
= 200 ÷ 20 = 10%
Think of the change
divided by the
original number
Ben weighed 50kg. He had a sickness bug and loses 10kg. Calculate the percentage
decrease in his weight?
x
I can compare a
percentage with
a fraction or
decimal
=
= 1000 ÷ 50 = 20%
Change the fraction to a percentage.
Last week a tin of Cadbury Heroes had the same price in two supermarkets. In one shop it
now has 35% off and in the other it has off. Which has the better offer?
x
=
= 200 ÷ 5 = 40%
40% is better than 35%
I can order
percentages,
fractions and
decimals
Change each value to a percentage.
Put these in order starting with the lowest value: , 20%, 0.3.
= 25%,
0.3 = 30%
20%, 25%, 30%  20% , , 0.3
Experience and Outcome: MNU 4-07a
I can choose the most appropriate form of fractions, decimal fractions and percentages
to use when making calculations mentally, in written form or using technology, then use
my solutions to make comparisons, decisions and choices.
Success
Criteria
How to do it:
%
1%
5%
10%
15%
20%
25%
30%
35%
40%
45%
50%
55%
60%
65%
70%
75%
80%
85%
90%
95%
I can recall a
range of
equivalent
fractions,
decimals and
percentages
Decimal
0.01
0.05
0.1
0.15
0.2
0.25
0.3
0.35
0.4
0.45
0.5
0.55
0.6
0.65
0.7
0.75
0.8
0.85
0.9
0.95
100% 1
I can find a
percentage
equivalent
and/or complete
a calculation
using a calculator
Fraction
1/100
1
/20
1/10
3/20
1/5
1/4
3/10
7/20
2/5
9/20
1/2
11/20
3/5
13/20
7/10
3/4
4/5
17/20
9/10
19/20
1
Divide the percentage by 100.
Change 23% to a decimal
23 ÷ 100 = 0.23
Find 23% of £55?
23 ÷ 100 = 0.23
0.23 x 55 = £12.65
I can make an
appropriate
choice between
using fractions,
decimals and/or
percentages with
or without a
calculator
Without Calculator
With Calculator
Find 20% of 400g
Find 15% of £88
20% =
15 ÷ 100 x 88 = £13.20
of 400 = 400 ÷ 5 = 80g
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