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Fractions
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What is a Fraction
Fractions of origin amount
Equivalent Fractions
Percentage (Fraction by another name)
Conversion between F, D ,%
Using Percentages
Proper Fractions and mixed numbers
Ratios
6-May-17
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Level E Starter Questions
1.
Find the area and perimeter of a square
with length 3 cm.
2.
4.56 + 2.36 - 1.2
3.
Find an equivalent fraction
6-May-17
1
with denominator 100 for
.
20
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Percentages
Learning Intention
1. We are learning what the
term percentage means
and how it is connected to
fractions.
6-May-17
Success Criteria
1. To understand the term
percentage.
2. Understand connection
between percentages, and
fractions.
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31 out
Percentagesof a 100
It is common to express fractions
using a denominator of a 100
6-May-17
31
100
means 31 %
7
100
means 7 %
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7 out of
a 100
Percentages
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Q. Write down the following as a fraction and a decimal.
27
27% 
 27  100  0.27
100
15
15% 
 15  100  0.15
100
2% 
6-May-17
2
 2  100
100
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 0.02
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Percentages
Covert these percentages to fraction and simply.
1
20

20% 
100
5
6-May-17
75%
3
75


100
4
60%
3
60


100
5
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Percentages
Covert these fractions to percentages
6-May-17
1
10
1  10  100  10%
3
20
3  20  100  15%
4
5
4  5  100  80%
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Percentages
Sandra got 15 out of 20 in an maths exam.
What percentage is this.
15
20
6-May-17
15  20  100  75%
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Franchesca has
Percentages
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the best result.
Franchesca got 45 out of Sandra 60 maths
and Drew got 21 out of 30 in an English exam.
Who got the best result.
45
45

60

100

75%
60
21
21

30

100

70%
30
6-May-17
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Percentages
Now try Ex 1
Page 41
6-May-17
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Level E Starter Questions
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1.
Calculate 45.6 x 7
15
2. Simplify
100
3.
Change 20% to a fraction
4.
Find highest number divides
both 4 and 20 without leaving a remainder
6-May-17
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Fractions Percentages
Decimals
Learning Intention
1. To understand how to
convert between
percentages, fractions and
decimals.
6-May-17
Success Criteria
1. Learn rules for converting
between percentages
fractions and decimals.
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Fractions Percentages
Decimals
Copy triangle and use it to convert between
fraction decimals and percentages
Decimal Fraction
a b
Common
Fraction
6-May-17
a
b
100
P%
100
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Percentage (P%)
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Fractions Percentages
Decimals
Now try Ex 6.1
Page 341
6-May-17
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Level E Starter Questions
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1.
2.
Calculate 1200  300
Simplify
75
200
1
of 65
3. Find
10
4.
6-May-17
Find highest number that divides both
14 and 35 without leaving a remainder.
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Percentages
Learning Intention
1. To explain some simple
percentages.
Success Criteria
1. To know the fractions of
basic simple percentages.
2. Calculate simple percentage
mentally.
6-May-17
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Percentages
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Copy down and learn the following basic percentages
50% = one half
2
10% = one tenth
10
5%
= half of 10% 10 then  2
1%
= one hundredth 100
0.5% = half of 1 % 100 then  2
6-May-17
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Percentages
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Q. Find 16% of £40
10%  40  10  4.00
5%
= 4  2  2.00
1%  40  100  0.40
16%
6-May-17
£6.40
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Percentages
of means
MULTIPLY
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Q.
Find 17% of £450
17
 450
100
Remember
money 2
decimal places
 17  100  450
 £76.50
Calculator Keys
1
6-May-17
7

1
0
0
x
4
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5
0
=
76.5
of means
times
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Q.
Percentages
Find 4% of £70
4
 70
100
Remember
money 2
decimal
places
 4  100  70
 £2.80
Calculator Keys
4
6-May-17

1
0
0
x
7
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0
=
2.8
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Percentages
Now try Ex8.1
Page 345
6-May-17
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Percentages
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Q. Find 17.5% of £1200
10%
 1200  10  120
5%
= 120  2  60
2.5%
17.5%
6-May-17
 60  2  30
£ 210
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Percentages
Now try Ex 8.2
Page 346
6-May-17
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Level E Starter Questions
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1.
Calculate 11% of 150
65
2. Simplify
100
3
of 64
3. Find
4
4.
6-May-17
Find highest number that divides both
10 and 45 without leaving a remainder.
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Proper Fractions
and Mixed Numbers
Learning Intention
1. To explain the terms proper
fraction, mixed number and
improper fraction and convert
between them.
6-May-17
Success Criteria
1. To know the terms proper
fraction, mixed number and
improper fraction.
2. Convert between improper
fraction and mixed number.
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Proper Fractions
and Mixed Numbers
How many halves are there in
1
2
2
=
6-May-17
1
2
2
=
5
2
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Proper Fractions
and Mixed Numbers
1
2
1
2
2
5
2
6-May-17
Is called a proper fraction.
( Numerator is less than denominator )
Is called a mixed fraction.
( whole number and a fraction )
Is called a improper fraction.
( Numerator bigger than denominator )
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Proper Fractions
and Mixed Numbers
Converting mixed fractions to improper fractions
6-May-17
3
2 =
4
4  2 + 3 11
=
4
4
7
1 =
8
1  8 + 7 15
=
8
8
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Proper Fractions
and Mixed Numbers
Other way round improper fractions to mixed fractions
3
7
= 2 7 and 1 left over
2
2
1
=3
2
2
11
= 5 11 and 1 left over
5
5
1
=2
5
6-May-17
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Proper Fractions
and Mixed Numbers
Now try Ex 9.1
Ch15 page 348
6-May-17
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Level E Starter Questions
17
4
1.
Change to mixed number
2.
Simplify
3.
Find
4.
Change to a improper fraction
6-May-17
45
100
2
of 35
5
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4
3
7
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Proper Fractions
and Mixed Numbers
Learning Intention
1. To explain how to convert
between decimal fractions and
mixed numbers.
6-May-17
Success Criteria
1. Convert between decimal
fractions and mixed numbers.
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Proper Fractions
and Mixed Numbers
Just convert
fraction part to
decimal fraction
Mixed number to decimal
3
4
1
4
2
3
6
4
1
= 0.5
2
= 0.75
6.75
6-May-17
4.5
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Proper Fractions
and Mixed Numbers
Decimal fraction to mixed number
7.15
3.5
5
1
0.5 =
=
10 2
1
3
2
6-May-17
3
15
=
0.15 =
100 20
3
7
20
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Proper Fractions
and Mixed Numbers
Now try Ex 9.2
Ch15 page 349
6-May-17
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Starter Questions
Level E
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1. Find x when
x + 5 = 17
2. Calculate 20% of 220
3.
Round to the nearest 100
(a) 123
4.
6-May-17
(b) 250
(c) 59
Convert 0.05 to a percentage
and then to a fraction
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Ratios
What is a ratio ?
Level E
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Ratios can be used to compare different quantities
Example : There are 2 triangles and 3 rectangles.
The ratio of triangles to rectangles
is said to be 2 : 3
Note: The ratio of rectangles to triangles
is said to be 3 : 2
6-May-17
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Ratios
Simplifying a ratio ?
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Level E
Simplifying a ratio is like simplifying fractions
Fraction :
Ratio :
6-May-17
6 6
3
= ÷2 =
8 8
4
÷2
6: 8 = 6 : 8 =3: 4
÷2
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÷2
Ratios
Simplifying a ratio ?
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Level E
Now try Ex 10.1
Page 351
6-May-17
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Starter Questions
Level E
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1. 15% of 50
2. Write 0.12 as a percentage
3.
Round to 1 decimal place
(a) 0.13
4.
6-May-17
(b) 0.02
Simplify fraction
(c) 1.09
12
30
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Ratios
Ratio Calculations
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Level E
Learning Intention
1.
To show how to do ratio
calculations.
Success Criteria
1. Use tabulating method to
work out ratios.
2. Show appropriate working.
6-May-17
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Ratios
Ratio Calculations
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Level E
Example :
The ratio of boys to girls is 4:5.
If there are 16 boys, how many girls
are there.
boys girls
x4
6-May-17
4
5
16
20
x4
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Ratios
Ratio Calculations
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Level E
Example :
The ratio of cars to buses is 3:7.
If there are 49 buses, how many cars
are there.
cars buses
x7
6-May-17
3
7
21
49
x7
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Ratios
Ratio Calculations
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Level E
Now try Ex 11.1
Page 352
6-May-17
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