1. Year 6 Autumn Block 3
Fractions NCLO: Use common factors to simplify fractions; use common multiples to express fractions in the same denomination.

2. Key vocabulary and questions
Factor Simplify Denominator

3. Key vocabulary and questions
In order to make a simpler fraction, which direction do you move on the fraction wall? Is the most efficient method dividing by two? Explain your reasoning. What is the highest common factor of the numerator and the denominator?

4. Fluency

5. Fluency

6. Reasoning and problem solving

7. Reasoning and problem solving

8. Reasoning and problem solving

9. Year 6 Autumn Block 3
Fractions NCLO: Use knowledge of equivalent fractions and ordering fractions to place fractions on a number line.

10. Key vocabulary and questions
Similar Different Fraction Denominator

11. Key vocabulary and questions
Are there any other fractions we can place on the number line? Which fractions can’t be placed on the number line? Which method have you used to help you place improper fractions on a number line?

12. Fluency

13. Fluency

14. Fluency

15. Reasoning and problem solving

16. Reasoning and problem solving

17. Year 6 Autumn Block 3
Fractions NCLO: Compare and order fractions with different denominators

18. Key vocabulary and questions
Equivalent
Common Multiple
Factor

19. Key vocabulary and questions

20. Fluency

21. Fluency

22. Fluency

23. Reasoning and problem solving

24. Reasoning and problem solving

25. Reasoning and problem solving

26. Fractions NCLO: Compare and order fractions by the numerator
Year 6 Autumn Block 3
Fractions NCLO: Compare and order fractions by the numerator

27. Key vocabulary and questions
Compare Order Fractions Denominator Numerator

28. Key vocabulary and questions
Can you find a common numerator to help you compare? How will you do this? Why is finding a common numerator the most efficient method? What do you notice about all the denominators? How can we find a common numerator?

29. Fluency

30. Fluency

31. Fluency

32. Reasoning and problem solving

33. Reasoning and problem solving

34. Fractions NCLO: Adding fractions when the answer is less than 1
Year 6 Autumn Block 3
Fractions NCLO: Adding fractions when the answer is less than 1

35. Key vocabulary and questions
Common multiple Lowest common denominator Multiple

36. Key vocabulary and questions

37. Fluency

38. Fluency

39. Reasoning and problem solving

40. Reasoning and problem solving

41. Reasoning and problem solving

42. Year 6 Autumn Block 3
Fractions NCLO: To add fractions that total less than 1 by finding common denominators

43. Key vocabulary and questions
Mixed number Improper fraction

44. Key vocabulary and questions
What do you notice about your answer? Can you convert it back into a mixed number? Do we need to convert the mixed number into an improper fraction? Explain why. Which is the most efficient method? Could you show me how you might use a number line to answer this question? Can you explain how you might solve this mentally?

45. Fluency

46. Fluency

47. Fluency

48. Reasoning and problem solving

49. Reasoning and problem solving

50. Fractions NCLO: to add fractions that give a total greater than one.
Year 6 Autumn Block 3
Fractions NCLO: to add fractions that give a total greater than one.

51. Key vocabulary and questions
denominator

52. Key vocabulary and questions
What do you notice is happening when you add fractions with the same denominator? What can we do if our denominators are different?

53. Fluency

54. Fluency

55. Fluency

56. Reasoning and problem solving

57. Reasoning and problem solving

58. Fractions- to subtract fractions involving mixed numbers
Year 6 Autumn Block 3
Fractions- to subtract fractions involving mixed numbers

59. Key vocabulary and questions
Mixed numbers Least Greatest

60. Key vocabulary and questions
Which fraction is greatest? How do you know? We must look at the whole numbers to help us. Have we still got the same fraction? How do you know? What are the five wholes made up of? How do you know? Can you use one of these wholes to help you complete the calculation?

61. Fluency

62. Fluency

63. Fluency

64. Reasoning and problem solving

65. Reasoning and problem solving

66. Fractions NCLO: to consolidate adding and subtracting fractions.
Year 6 Autumn Block 3
Fractions NCLO: to consolidate adding and subtracting fractions.

67. Key vocabulary and questions
Mixed number Improper fraction Bar model

68. Key vocabulary and questions
What other calculations could you write using the bar model? Explain how you know the fraction can be simplified. How might these different representations help you solve the calculation?

69. Fluency

70. Fluency

71. Reasoning and problem solving

72. Reasoning and problem solving

73. Reasoning and problem solving

74. Fractions NCLO: to multiply whole numbers and fractions together.
Year 6 Autumn Block 3
Fractions NCLO: to multiply whole numbers and fractions together.

75. Key vocabulary and questions
Wholes Parts Multiply

76. Key vocabulary and questions
How could you represent this fraction?
What is the denominator? How do you know?
How many whole pieces do we have?
What is multiplying fractions similar to? (repeated addition)
Why have you chosen to represent the fraction in this way?
How many wholes are there?
How many parts are there?

77. Fluency

78. Fluency

79. Fluency

80. Reasoning and problem solving

81. Reasoning and problem solving

82. Year 6 Autumn Block 3
Fractions NCLO: to find the link between multiplying fractions and whole numbers, and multiplying fractions by fractions.

83. Key vocabulary and questions
Whole numbers
Fractions

84. Key vocabulary and questions
What do you notice about the numerators and denominators when they are multiplied?

85. Fluency

86. Fluency

87. Fluency

88. Reasoning and problem solving

89. Reasoning and problem solving

90. Reasoning and problem solving

91. Fractions NCLO: to divide fractions by whole numbers,
Year 6 Autumn Block 3
Fractions NCLO: to divide fractions by whole numbers,

92. Key vocabulary and questions
Divisor Denominator Numerator

93. Key vocabulary and questions
How could you represent this fraction? How many parts of the whole are there? How do you know? How do you know how many parts to shade? Is the numerator divisible by the whole number? Why doesn't the denominator change? Why have you chosen to represent the fraction in this way?

94. Fluency

95. Fluency

96. Fluency

97. Reasoning and problem solving

98. Reasoning and problem solving

99. Reasoning and problem solving

100. Year 6 Autumn Block 3
Fractions NCLO: to divide fractions by a whole number, including mixed number fractions.

101. Key vocabulary and questions
Section Represent Sub part

102. Key vocabulary and questions
How could you represent this fraction? Which parts should you shade? What would happen if we divided each eighth into half? How many pieces would we have in total? How many sub-parts would you dive each section into? What is the value of the denominator? What is the value of the numerator? Can it be simplified?

103. Fluency

104. Fluency

105. Reasoning and problem solving

106. Reasoning and problem solving

107. Year 6 Autumn Block 3
Fractions NCLO: apply the rules of the four operations when working with fractions.

108. Key vocabulary and questions

109. Key vocabulary and questions
What does it mean when we have a number or a fraction in front of the bracket? Which operation should we use first? Why? Is there another way we could answer this? What would happen if we did not use the brackets? Would the answer be correct? Why?

110. Fluency

111. Fluency

112. Fluency

113. Reasoning and problem solving

114. Reasoning and problem solving

115. Year 6 Autumn Block 3 Fractions
NCLO: to find the whole amount from the
known value of the fraction.

116. Key vocabulary and questions
Increase
Decrease
Represent
Value

117. Key vocabulary and questions
How can you represent this problem? Which parts should you shade? What is the value of the shaded parts? What is the value of the whole? How much has the value increased/decreased by?

118. Fluency

119. Fluency

120. Fluency

121. Reasoning and problem solving

122. Reasoning and problem solving

123. Fractions- To scale fraction word problems
Year 6 Autumn Block 3
Fractions- To scale fraction word problems

124. Key vocabulary and questions
Represent Parts Shaded parts Value

125. Key vocabulary and questions
How could you represent this fraction? Which parts should you shade? What is the value of the shaded parts? What is the value of the whole bar?

126. Fluency

127. Fluency

128. Fluency

129. Reasoning and problem solving

130. Reasoning and problem solving