1. Compiled by Mr. Lafferty Maths Dept.
Fractions
The Meaning of 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
22-Nov-18
Compiled by Mr. Lafferty Maths Dept.

2. Level E Starter QuestionsX
22-Nov-18
Compiled by Mr. Lafferty Maths Dept.

3. Compiled by Mr. Lafferty Maths Dept.
Fractions
Learning Intention
Success Criteria
1. To understand the
term Fraction.
1. To know the NUMERATOR is the top number
2. To know the DENOMINATOR is the bottom number
2. To understand that different fractions can have the same value
3. To be able to work out a fraction of a quantity.
22-Nov-18
Compiled by Mr. Lafferty Maths Dept.

4. Fractions A Fraction consists of 2 parts.
Top number called the NUMERATOR
Bottom number called the DENOMINATOR
22-Nov-18
Compiled by Mr. Lafferty Maths Dept.

5. Compiled by Mr. Lafferty Maths Dept.
Fractions
Write down the fraction that is shaded in light blue.
22-Nov-18
Compiled by Mr. Lafferty Maths Dept.

6. Fractions Q. What fraction are the following of a £1
(a) 50p (b) 25p (c) 10p (d) 75p
Q. State what the unit of measurement is
a millimetre
a month
a minute
22-Nov-18
Compiled by Mr. Lafferty Maths Dept.

7. Fractions We can write fractions as decimals
by dividing the top by the bottom.
example
Exercise 2.1 and Exercise 2.2
Page 331 and Page 32
22-Nov-18
Compiled by Mr. Lafferty Maths Dept.

8. Level E Starter Questions
5cm
7cm
22-Nov-18
Compiled by Mr. Lafferty Maths Dept.

9. Fractions of a quantity
Learning Intention
Success Criteria
To explain the 2 step process of finding a fraction of a quantity.
To know the 2 step for finding a fraction of a quantity.
Be able to calculate the fraction of a quantity.
22-Nov-18
Compiled by Mr. Lafferty Maths Dept.

10. Fractions of a quantity
of means x
in mathematics !
means
Simply divide by the denominator
22-Nov-18
Compiled by Mr. Lafferty Maths Dept.

11. Fractions of a quantity
Q. Calculate
means
Simply divide by the denominator
Then multiply the answer by numerator
Step 1:
Step 2:
22-Nov-18
Compiled by Mr. Lafferty Maths Dept.

12. Fractions of a quantity
Q. Do the calculation below.
means
Simply divide by the denominator
Then multiply the answer by numerator
Step 1:
Step 2:
22-Nov-18
Compiled by Mr. Lafferty Maths Dept.

13. Fractions of a quantity
Ex 3.1 and 3.2
Page 333
22-Nov-18
Compiled by Mr. Lafferty Maths Dept.

14. Level E Starter Questions
22-Nov-18
Compiled by Mr. Lafferty Maths Dept.

15. Compiled by Mr. Lafferty Maths Dept.
Fractions
Learning Intention
Success Criteria
1. To understand the
term Fraction.
1. To know the NUMERATOR is the top number
2. To know the DENOMINATOR is the bottom number
2. To understand that different fractions can have the same value
3. To be able to simplify fractions.
22-Nov-18
Compiled by Mr. Lafferty Maths Dept.

16. Compiled by Mr. Lafferty Maths Dept.
Fractions
Write down the fraction that is shaded in light blue.
, , , all represent the same amount
and are called equivalent fractions
22-Nov-18
Compiled by Mr. Lafferty Maths Dept.

17. Fractions All the same value ! Equivalent fractions
Q. Calculate the following
All the same value !
Equivalent fractions
22-Nov-18
Compiled by Mr. Lafferty Maths Dept.

18. Fractions Equivalent Fractions
multiply the numerator and the denominator
by the same number.
Find a equivalent fraction to :
22-Nov-18
Compiled by Mr. Lafferty Maths Dept.

19. Fractions We can sometimes ‘simplify’ a fraction by finding a number
that the numerator and denominator have in common.
22-Nov-18
Compiled by Mr. Lafferty Maths Dept.

20. Compiled by Mr. Lafferty Maths Dept.
Fractions
Exercise 4.1
Page 335
22-Nov-18
Compiled by Mr. Lafferty Maths Dept.

21. Level E Starter Questions
22-Nov-18
Compiled by Mr. Lafferty Maths Dept.

22. Compiled by Mr. Lafferty Maths Dept.
Percentages
Learning Intention
Success Criteria
To explain what the term percentage means and how it is connected to fractions.
To understand the term percentage.
Understand connection between percentages, and fractions.
22-Nov-18
Compiled by Mr. Lafferty Maths Dept.

23. Percentages 31 out of a 100 means 31 % means 7 % 7 out of a 100
It is common to express fractions
using a denominator of a 100
means 31 %
means 7 %
7 out of a 100
22-Nov-18
Compiled by Mr. Lafferty Maths Dept.

24. Percentages Q. Write down the following as a fraction and a decimal.
27%
15% 2%
22-Nov-18
Compiled by Mr. Lafferty Maths Dept.

25. Compiled by Mr. Lafferty Maths Dept.
Percentages
Q. Write down the following fractions as equivalent
fractions out of a 100 and the percentages.
22-Nov-18
Compiled by Mr. Lafferty Maths Dept.

26. Compiled by Mr. Lafferty Maths Dept.
Percentages
Now try Ex 5.1
Page 340
22-Nov-18
Compiled by Mr. Lafferty Maths Dept.

27. Level E Starter Questions
22-Nov-18
Compiled by Mr. Lafferty Maths Dept.

28. Fractions Percentages Decimals
Learning Intention
Success Criteria
To understand how to convert between percentages, fractions and decimals.
Learn rules for converting between percentages fractions and decimals.
22-Nov-18
Compiled by Mr. Lafferty Maths Dept.

29. Fractions Percentages Decimals
Copy triangle and use it to convert between
fraction decimals and percentages
Decimal Fraction
Common
Fraction
Percentage (P%)
22-Nov-18
Compiled by Mr. Lafferty Maths Dept.

30. Fractions Percentages Decimals
Q. Change the fractions to decimals
22-Nov-18
Compiled by Mr. Lafferty Maths Dept.

31. Fractions Percentages Decimals
Q. Change the decimals to percentages
22-Nov-18
Compiled by Mr. Lafferty Maths Dept.

32. Fractions Percentages Decimals
Q. Change the percentages to fractions
22-Nov-18
Compiled by Mr. Lafferty Maths Dept.

33. Fractions Percentages Decimals
Q. Change the percentages to decimals
22-Nov-18
Compiled by Mr. Lafferty Maths Dept.

34. Fractions Percentages Decimals
Now try Ex 6.1
Page 341
22-Nov-18
Compiled by Mr. Lafferty Maths Dept.

35. Level E Starter Questions
22-Nov-18
Compiled by Mr. Lafferty Maths Dept.

36. Compiled by Mr. Lafferty Maths Dept.
Percentages
Learning Intention
Success Criteria
1. To explain some simple percentages.
To know the fractions of basic simple percentages.
Calculate simple percentage mentally.
22-Nov-18
Compiled by Mr. Lafferty Maths Dept.

37. Compiled by Mr. Lafferty Maths Dept.
Percentages
Copy down and learn the following basic percentages
= one half
= one tenth
= half of 10%
= one hundredth
= half of 1 %
22-Nov-18
Compiled by Mr. Lafferty Maths Dept.

38. Compiled by Mr. Lafferty Maths Dept.
Percentages
Q. Find 16% of £40
22-Nov-18
Compiled by Mr. Lafferty Maths Dept.

39. Percentages of means MULTIPLY Q. Find 17% of £450
Remember money 2 decimal places
Calculator Keys 1 7 1 x 4 5 =
76.5
22-Nov-18
Compiled by Mr. Lafferty Maths Dept.

40. Percentages of means times Q. Find 4% of £70
Remember money 2 decimal places
Calculator Keys 4 1 x 7 =
2.8
22-Nov-18
Compiled by Mr. Lafferty Maths Dept.

41. Compiled by Mr. Lafferty Maths Dept.
Percentages
Now try Ex8.1
Page 345
22-Nov-18
Compiled by Mr. Lafferty Maths Dept.

42. Compiled by Mr. Lafferty Maths Dept.
Percentages
Q. Find 17.5% of £1200
22-Nov-18
Compiled by Mr. Lafferty Maths Dept.

43. Compiled by Mr. Lafferty Maths Dept.
Percentages
Now try Ex 8.2
Page 346
22-Nov-18
Compiled by Mr. Lafferty Maths Dept.

44. Level E Starter Questions
22-Nov-18
Compiled by Mr. Lafferty Maths Dept.

45. Proper Fractions and Mixed Numbers
Learning Intention
Success Criteria
1. To explain the terms proper fraction, mixed number and improper fraction and convert between them.
To know the terms proper fraction, mixed number and improper fraction.
Convert between improper fraction and mixed number.
22-Nov-18
Compiled by Mr. Lafferty Maths Dept.

46. Proper Fractions and Mixed Numbers
How many halves are there in = =
22-Nov-18
Compiled by Mr. Lafferty Maths Dept.

47. Proper Fractions and Mixed Numbers
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 )
22-Nov-18
Compiled by Mr. Lafferty Maths Dept.

48. Proper Fractions and Mixed Numbers
Converting mixed fractions to improper fractions
22-Nov-18
Compiled by Mr. Lafferty Maths Dept.

49. Proper Fractions and Mixed Numbers
Other way round improper fractions to mixed fractions
22-Nov-18
Compiled by Mr. Lafferty Maths Dept.

50. Proper Fractions and Mixed Numbers
Now try Ex 9.1
Ch15 page 348
22-Nov-18
Compiled by Mr. Lafferty Maths Dept.

51. Level E Starter Questions
22-Nov-18
Compiled by Mr. Lafferty Maths Dept.

52. Proper Fractions and Mixed Numbers
Learning Intention
Success Criteria
1. To explain how to convert between decimal fractions and mixed numbers.
Convert between decimal fractions and mixed numbers.
22-Nov-18
Compiled by Mr. Lafferty Maths Dept.

53. Proper Fractions and Mixed Numbers
Just convert fraction part to decimal
Mixed number to decimal fraction
22-Nov-18
Compiled by Mr. Lafferty Maths Dept.

54. Proper Fractions and Mixed Numbers
Decimal fraction to mixed number
22-Nov-18
Compiled by Mr. Lafferty Maths Dept.

55. Proper Fractions and Mixed Numbers
Now try Ex 9.2
Ch15 page 349
22-Nov-18
Compiled by Mr. Lafferty Maths Dept.

56. Compiled by Mr. Lafferty Maths Dept.
Starter Questions
Level E
22-Nov-18
Compiled by Mr. Lafferty Maths Dept.

57. Ratios www.mathsrevision.com What is a ratio ?
Level E
What is a ratio ?
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
22-Nov-18
Compiled by Mr. Lafferty Maths Dept.

58. Ratios Fraction : Ratio : www.mathsrevision.com Simplifying a ratio ?
Level E
Simplifying a ratio ?
Simplifying a ratio is like simplifying fractions
Fraction :
Ratio :
22-Nov-18
Compiled by Mr. Lafferty Maths Dept.

59. Compiled by Mr. Lafferty Maths Dept.
Ratios
Level E
Simplifying a ratio ?
Now try Ex 10.1
Page 351
22-Nov-18
Compiled by Mr. Lafferty Maths Dept.

60. Compiled by Mr. Lafferty Maths Dept.
Starter Questions
Level E
22-Nov-18
Compiled by Mr. Lafferty Maths Dept.

61. Compiled by Mr. Lafferty Maths Dept.
Ratios
Level E
Ratio Calculations
Learning Intention
Success Criteria
1. To show how to do ratio calculations.
Use tabulating method to work out ratios.
2. Show appropriate working.
22-Nov-18
Compiled by Mr. Lafferty Maths Dept.

62. Compiled by Mr. Lafferty Maths Dept.
Ratios
Level E
Ratio Calculations
Example : The ratio of boys to girls is 4:5.
If there are 16 boys, how many girls
are there.
boys
girls 4 5
x 4
x 4 16 20
22-Nov-18
Compiled by Mr. Lafferty Maths Dept.

63. Compiled by Mr. Lafferty Maths Dept.
Ratios
Level E
Ratio Calculations
Example : The ratio of cars to buses is 3:7.
If there are 49 buses, how many cars
are there.
cars
buses 3 7
x 7
x 7 21 49
22-Nov-18
Compiled by Mr. Lafferty Maths Dept.

64. Compiled by Mr. Lafferty Maths Dept.
Ratios
Level E
Ratio Calculations
Now try Ex 11.1
Page 352
22-Nov-18
Compiled by Mr. Lafferty Maths Dept.