1. Fractions – Adding – Complete Lesson
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and the animations during demonstrations.
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2. Starter
A task at the beginning of the lesson that reviews a skill required for the learning.
Knowledge Check
Questions to assess students’ current understanding and to consequently show progress.
Real-Life Example
A ‘hook’ to raise interest and provide a concrete example.
Demonstration
Slides for a teacher to lead students – didactically or via questioning – through a mathematical method.
AFL Questions
Assessment For Learning Questions, used to assess students’ competency for independent tasks/activities.
Plenary
An opportunity for students to prove/evaluate their learning.

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4. TRONCIFA FRACTION LUASEQ EQUALS DDA ADD EMRANURTO NUMERATOR ACBTRSUT
Starter
ACBTRSUT
SUBTRACT
RNATOENODMI
DENOMINATOR

5. Medium worksheets

6. Small worksheets

7. Complete the fraction pyramids.
Every block is the sum of the two blocks below it. A) B)
1 5
2 5
2 7
1 7
3 7 C) D)
7 16
12 16
14 16
3 16
5 16
8 10
4 10
3 10
3 10

8. Answers Complete the fraction pyramids.
Every block is the sum of the two blocks below it. A) B)
1 5
2 5
3 5
5 5 = 1
5 7
3 7
2 7
2 7
1 7
1 7 C) D)
1 1 2
5 16
7 16
12 16
14 16
1 5 8
3 16
2 16
8 10
7 10
4 10
4 10
3 10
1 10
3 10
1 10
2 10

9. 27 September 2019
Adding Fractions

10. KNOWLEDGE CHECK = = =

11. KNOWLEDGE CHECK
= 7 12
= 13 15
= =1 7 20

12. Josh ate 1 2 of a cheese pizza and 1 4 of a pepperoni pizza.
How much of a whole pizza did he eat in total?
Check animations
2 4
1 2
1 4
3 4

13. Sally ate 1 3 of a cheese pizza and 1 6 of a chicken pizza.
How much of a whole pizza did she eat in total?
Check animations
2 6
1 3
1 6
3 6

14. Jane ate 1 4 of a mushroom pizza and 1 8 of a chicken pizza.
How much of a whole pizza did she eat in total?
Check animations
2 8
1 4
1 8
3 8

15. 1 2
2 4
1 4
3 4 + = ?
To add fractions, they must have the same denominator
(they must be split into the same size pieces)
If all the denominators are the same, the calculation is easy!

16. 1 3
2 6
1 6
3 6
= 1 2 + = ?
To add fractions, they must have the same denominator
(they must be split into the same size pieces)
If all the denominators are the same, the calculation is easy!

17. 1 3
5 15
1 5
8 15
3 15 + = ?
To add fractions, they must have the same denominator
(they must be split into the same size pieces)
If all the denominators are the same, the calculation is easy!

20. Adding Fractions
Complete the equivalent fractions for each calculation.
Example: 4)
Shade 1 2
of the shape.
Shade 1 4
of the shape.
Write the total
as a fraction
= 1 4
2 3 = 1 2
2 9
= 1 9 5) 1)
1 5 = 1 2
1 4 = 1 2
= 1 20
1 3 = 1 2
1 2 = 1 2
= 1 6 6) 2)
3 5 = 1 2
1 3 = 1 2 =
2 3 = 1 2
1 6
= 1 6 7) 3)
1 3 = 1 2
3 7 = 1 2
= 1 21
1 4 = 1 2
1 8
= 1 8

21. What rule can we write for
Adding Fractions
Complete the equivalent fractions for each calculation.
Example: 4)
Shade 1 2
of the shape.
Shade 1 4
of the shape.
Write the total
as a fraction
= 1 4
2 3 = 1 2
2 9
= 1 9 5) 1)
What rule can we write for
adding fractions
without drawing boxes?
1 5 = 1 2
1 4 = 1 2
= 1 20
1 3 = 1 2
1 2 = 1 2
= 1 6 6) 2)
3 5 = 1 2
1 3 = 1 2 =
2 3 = 1 2
1 6
= 1 6 7) 3)
1 3 = 1 2
3 7 = 1 2
= 1 21
1 4 = 1 2
1 8
= 1 8

22. Adding Fractions
Complete the equivalent fractions for each calculation.
Answers
Example: 4)
Shade 1 2
of the shape.
Shade 1 4
of the shape.
Write the total
as a fraction
= 3 4
2 3 = 6 9
2 9
= 8 9 5) 1)
1 5 = 4 20
1 4 = 5 20
= 9 20
1 3 = 2 6
1 2 = 3 6
= 5 6 6) 2)
3 5 = 9 15
1 3 = 5 15 =
2 3 = 4 6
1 6
= 5 6 7) 3)
1 3 = 7 21
3 7 = 9 21 =
1 4 = 2 8
1 8
= 3 8

23. We need the denominators to be the same.
Which fraction should we change to make the calculation easy?
1 2
1 4 + =
Double the denominator
Double the numerator
2 4
1 4
3 4 + =

24. We need the denominators to be the same.
Which fraction should we change to make the calculation easy?
1 3
1 6 + =
Double the denominator
Double the numerator
2 6
1 6
3 6
= 1 2 + =

25. We need the denominators to be the same.
Which fraction should we change to make the calculation easy?
1 5
1 10 + =
Double the denominator
Double the numerator
2 10
1 10
3 10 + =

26. We need the denominators to be the same.
Which fraction should we change to make the calculation easy?
1 3
1 9 + =
Triple the denominator
Triple the numerator
3 9
1 9
4 9 + =

27. We need the denominators to be the same.
Which fraction should we change to make the calculation easy?
2 3
1 9 + =
Triple the denominator
Triple the numerator
6 9
1 9
7 9 + =

28. We need the denominators to be the same.
Which fraction should we change to make the calculation easy?
1 3
5 12 + =
Denominator × 4
Numerator × 4
4 12
9 12
9 12
= 3 4 + =

29. Complete these calculations in your book.
Example
Complete these calculations in your book.
1) Choose which fraction
you need to change
2) Make an equivalent fraction
3) Add the fractions!
(Remember to simplify your answer!) = = = = = = = = =

30. Complete these calculations in your book.
Example
Complete these calculations in your book.
1) Choose which fraction
you need to change
2) Make an equivalent fraction
3) Add the fractions!
Answers
(Remember to simplify your answer!)
= 3 4
= 3 6 = 1 2
= 5 6
= 5 9
= 6 12 = 1 2
= 8 9
= = 2 3
= 11 12
= 29 30

31. Complete these calculations in your book.
Example
Complete these calculations in your book.
1) Choose which fraction, or
fractions, you need to change
2) Make equivalent fractions
3) Add the fractions!
(Remember to simplify your answer!) = = = = = = = = =

32. Complete these calculations in your book.
Example
Complete these calculations in your book.
1) Choose which fraction, or
fractions, you need to change
2) Make equivalent fractions
3) Add the fractions!
Answers
(Remember to simplify your answer!)
= 8 9
= = 5 6
= 8 10 = 4 5
= 5 6
= 13 15
= =
= =1 1 12
= =1 7 17
=5 9 28

33. 1 3 1 2 + = Jo ate 1 2 of a ham pizza and 1 3 of a chicken pizza.
How much of a whole pizza did she eat in total?
1 3
1 2 + =
To elicit the need to change both denominators.
How can we compare these fractions?
Can we add them?

34. We can’t add these fraction because we can’t multiply 2 by anything to get 3.
Is Hannah right?
1 3
1 2 + =

35. 1 3 1 2 + = 2 6 3 6 5 6 + = To add fractions they must have a
common denominator.
We will need to change
both fractions.
What common denominator
could we use?
1 3
1 2 + =
Numerator
& Denominator
× 3
Numerator
& Denominator
× 2
2 6
3 6
5 6 + =

36. 1 4 1 3 + = 3 12 4 12 7 12 + = To add fractions they must have a
common denominator.
We will need to change
both fractions.
What common denominator
could we use?
1 4
1 3 + =
Numerator
& Denominator
× 4
Numerator
& Denominator
× 3
3 12
4 12
7 12 + =

37. What common denominator could we use?
1 3
1 5 + =
Numerator
& Denominator
× 3
Numerator
& Denominator
× 5
5 15
3 15
8 15 + =

38. What common denominator could we use?
1 4
3 5 + =
Numerator
& Denominator
× 4
Numerator
& Denominator
× 5
5 20
12 20
17 20 + =

39. What common denominator could we use?
3 5
1 6 + =
Numerator
& Denominator
× 5
Numerator
& Denominator
× 6
18 30
5 30
22 30
11 15 + = =

40. What common denominator could we use?
1 6
4 9 + =
Numerator
& Denominator
× 2
Numerator
& Denominator
× 3
3 18
8 18
11 18 + =

41. Whiteboards

42. What common denominator
EXAMPLE
What common denominator
could we use?
1 2
1 3 + =
Numerator
& Denominator
× 2
Numerator
& Denominator
× 3
3 6
2 6
5 6 + =

43. What common denominator
EXAMPLE
What common denominator
could we use?
1 3
1 4 + =
Numerator
& Denominator
× 3
Numerator
& Denominator
× 4
4 12
3 12
7 12 + =

44. What common denominator
EXAMPLE
What common denominator
could we use?
2 5
1 4 + =
Numerator
& Denominator
× 5
Numerator
& Denominator
× 4
8 20
5 20
13 30 + =

45. What common denominator
EXAMPLE
What common denominator
could we use?
1 6
5 9 + =
Numerator
& Denominator
× 2
Numerator
& Denominator
× 3
3 18
10 18
13 18 + =

46. What common denominator
EXAMPLE
What common denominator
could we use?
2 7
2 3 + =
Numerator
& Denominator
× 7
Numerator
& Denominator
× 3
6 21
14 21
20 21 + =

47. EXAMPLE = = = = = =

48. ? Answers EXAMPLE 1 3 + 1 4 = 7 12 2 3 + 1 5 = 13 15 2 7 + 3 4 = 29 28
= 9 20
= 29 30
= 21 20

49. Adding Fractions with Different Denominators1) a) = b) = = 1) a) = b) = c) c) =
= 7 12
= 13 20
= 11 30
= 7 12
= 13 20
= 11 30 d) = e) = f) = d) = e) = f) = = = = = = = = = = = = = 2) a) b) c) 2) a) b) c) = = = = = = d) e) f) d) e) f) 3)
John ate of a chicken pie and of a vegetable pie. Sally
says John ate more than a whole pie in total. Is Sally correct? 3)
John ate of a chicken pie and of a vegetable pie. Sally
says John ate more than a whole pie in total. Is Sally correct? = = = = b) c) b) c)

51. Adding Fractions with Different Denominators1) a) = b) = c) =
= 7 12
= 13 20
= 11 30 d) = e) = f) = = = = = = = 2) a) b) c) = = = d) e) f) 3)
John ate of a chicken pie and of a vegetable pie. Sally
says John ate more than a whole pie in total. Is Sally correct? = = b) c)

52. Answers She is not correct.
Adding Fractions with Different Denominators 1) a) = b) = c) =
= 7 12
= 13 20
= 23 30 d) = e) = f) =
= 17 21
= 31 35
= 9 40
= 13 18
= 14 30
= 11 24 2) a) b) c)
= 7 15
= 6 7
= 23 30
= 85 72 d) e) f) =
She is
not correct. 3)
John ate of a chicken pie and of a vegetable pie. Sally
says John ate more than a whole pie in total. Is Sally correct?
= 59 63
= 19 20
= =2 3 8 b) c)

53. Extension
Josh ate a third of a pie, Sally ate three-quarters of a pie,
Jack ate five-sixths of a pie and Mark ate four-ninths of a pie.
How many pies did they all eat together?

54. Extension Answer 1 3 + 3 4 + 5 6 + 4 9 = 85 36 =2 13 36
Josh ate a third of a pie, Sally ate three-quarters of a pie,
Jack ate five-sixths of a pie and Mark ate four-ninths of a pie.
How many pies did they all eat together?
= =
Answer

56. GCSE
Edexcel Foundation: November 2017 Paper 1, Q22
(a) Work out 1
11 15
= = 11 15
(2)
(b) Write down the value of 2-4
1 16
1 24 = 1 16
(1)
(Total for Question 1 is 3 marks)
Answers

57. Check your success! I can add fractions with the same denominator.
I can add fractions with different denominators.
I can add fractions using two equivalent fractions.

58. Check your success! I can add fractions with the same denominator.
I can add fractions with different denominators.
I can add fractions using two equivalent fractions.

59. How to add fractions that have different denominators.
Write a text message to a friend describing…
How to add fractions that have different denominators.

60. tom@goteachmaths.co.uk Questions? Comments? Suggestions?
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