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Unit 1: Fractions with the same denominator

1 Identify a fraction as part of a whole

2 Compare fractions with either the same denominator or same numerator

3 Order fractions with either the same denominator or same numerator

4 Add fractions with the same denominator within 1

5 Subtract fractions with the same denominator within 1

6 Solve missing number problems for addition and subtraction of fractions with the same denominator within 1

7 Recognise pairs of fractions that add up to 1

8 Count up in halves, thirds and quarters beyond 1

9 Convert mixed numbers to improper fractions

10 Convert improper fractions to mixed numbers

11 Add fractions with the same denominator beyond 1 whole, writing the answer as a mixed number

12 Subtract a fraction from an improper fraction or mixed number with the same denominator and with 1 whole

13 Solve missing number problems for addition and subtraction of fractions with the same denominator beyond 1

14 Add a fraction to a whole number and subtract a fraction from a whole number

15 Add a fraction to a mixed number with the same denominator, without regrouping

16 Add a fraction to a mixed number with the same denominator, regrouping to make 1 more whole

17 Add a fraction to a mixed number with the same denominator by converting to an improper fraction

18 Add mixed numbers with the same denominator, without regrouping

19 Add mixed numbers with the same denominator, regrouping to make 1 more whole

20 Add mixed numbers with the same denominator by converting to improper fractions

21 Subtract a fraction from a mixed number with the same denominator, without regrouping

22 Subtract a fraction from a mixed number with the same denominator, regrouping to make 1 fewer whole

23 Subtract a fraction from a mixed number with the same denominator by converting to an improper fraction

24 Subtract mixed numbers with the same denominator, without regrouping

25 Subtract mixed numbers with the same denominator, regrouping to make 1 fewer whole

26 Subtract mixed numbers with the same denominator by converting to improper fractions

Unit 2: Fractions with denominators which are common multiples

27 Identify equivalent fractions to a half

28 Use multiplication to find equivalent fractions

29 Use division to find equivalent fractions

30 Find equivalent improper fractions

31 Simplify fractions

32 Compare fractions with denominators as common multiples

33 Compare improper fractions with denominators as common multiples

34 Order fractions with denominators as common multiples

35 Add fractions with denominators as common multiples within 1

36 Subtract fractions with denominators as common multiples within 1

37 Solve missing number problems for addition and subtraction of fractions with denominators as common multiples within 1

38 Add fractions with denominators as common multiples beyond 1 whole, writing answers as mixed numbers

39 Subtract a fraction from an improper fraction or mixed number with denominators as common multiples and with 1 whole

40 Solve missing number problems for addition and subtraction of fractions with denominators as common multiples beyond 1

41 Add a fraction to a mixed number with denominators as common multiples, without regrouping

42 Add a fraction to a mixed number with denominators as common multiples, regrouping to make 1 more whole

43 Add a fraction to a mixed number with denominators as common multiples by converting to an improper fraction

44 Add mixed numbers with denominators as common multiples, without regrouping

45 Add mixed numbers with denominators as common multiples, regrouping to make 1 more whole

46 Add mixed numbers with denominators as common multiples by converting to improper fractions

47 Subtract a fraction from a mixed number with denominators as common multiples, without regrouping

48 Subtract a fraction from a mixed number with denominators as common multiples, regrouping to make 1 fewer whole

49 Subtract a fraction from a mixed number with denominators as common multiples by converting to improper fractions

50 Subtract mixed numbers with denominators as common multiples, without regrouping

51 Subtract mixed numbers with denominators as common multiples, regrouping to make 1 fewer whole

52 Subtract mixed numbers with denominators as common multiples by converting to improper fractions

Unit 3: Fractions of numbers

53 Find a unit fraction of a number

54 Find a whole quantity given the quantity represented by a unit fraction

55 Find a quarter by halving twice, or an eighth by halving three times

56 Find a non-unit fraction of a number

57 Find a whole quantity give the quantity represented by a non-unit fraction

58 Express a remainder as a fraction

59 Find a unit fraction of a number, writing the remainder as a fraction

60 Find a non-unit fraction of a number, writing the answer as a mixed number

Unit 4: Fractions with denominators which are not common multiples

61 Compare fractions with denominators which are not common multiples

62 Compare improper fractions with denominators which are not common multiples

63 Order fractions with denominators which are not common multiples

64 Order improper fractions with denominators which are not common multiples

65 Add fractions with denominators which are not common multiples within 1

66 Subtract fractions with denominators which are not common multiples within 1

67 Solve missing number problems for addition and subtraction of fractions with denominators which are not common multiples within 1

68 Add fractions with denominators which are not common multiples beyond 1 whole, writing answers as mixed numbers

69 Subtract a fraction from an improper fraction or mixed number with a denominator which is not a multiple of the denominator in the fraction and with 1 whole

70 Solve missing number problems for addition and subtraction of fractions with denominators which are not common multiples beyond 1

71 Add a fraction to a mixed number with a denominator which is not a multiple of the denominator in the fraction, without regrouping

72 Add a fraction to a mixed number with a denominator which is not a multiple of the denominator in the fraction, regrouping to make 1 more whole

73 Add a fraction to a mixed number with a denominator which is not a multiple of the denominator in the fraction by converting to an improper fraction

74 Add mixed numbers with denominators which are not common multiples, without regrouping

75 Add mixed numbers with denominators which are not common multiples, regrouping to make 1 more whole

76 Add mixed numbers with denominators which are not common multiples by converting to improper fractions

77 Subtract a fraction from a mixed number with a denominator which is not a multiple of the denominator in the fraction, without regrouping

78 Subtract a fraction from a mixed number with a denominator which is not a multiple of the denominator in the fraction, regrouping to make 1 fewer whole

79 Subtract a fraction from a mixed number with a denominator which is not a multiple of the denominator in the fraction by converting to an improper fraction

80 Subtract mixed numbers with denominators which are not common multiples, without regrouping

81 Subtract mixed numbers with denominators which are not common multiples, regrouping to make 1 fewer whole

82 Subtract mixed numbers with denominators which are not common multiples by converting to improper fractions

83 Find the fraction that lies halfway between two fractions

Unit 5: Multiplication and division of fractions

84 Multiply unit fractions

85 Multiply non-unit fractions

86 Multiply non-unit fractions, simplifying at the end

87 Multiply non-unit fractions, cross-simplifying

88 Divide fractions by whole numbers

89 Multiply a fraction by a whole number

90 Multiply a mixed number by a whole number by partitioning

91 Multiply a mixed number by a whole number using improper fractions