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Year 6 Autumn Block 2 Four Operations NCLO: To use formal written methods to add and subtract numbers.

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Presentation on theme: "Year 6 Autumn Block 2 Four Operations NCLO: To use formal written methods to add and subtract numbers."— Presentation transcript:

1 Year 6 Autumn Block 2 Four Operations NCLO: To use formal written methods to add and subtract numbers

2 Key vocabulary and questions
Add Subtract More than Less than Integer Difference

3 Key vocabulary and questions
What happens when there is more than 10 in a place value column? Can you make an exchange between columns? How can we find the missing digits? Can we use the inverse? Is column method always the best method? When should we use our mental methods?

4 Fluency

5 Fluency A four-bedroom house costs £450,000 A three-bedroom house costs £199,000 less. How much does the three-bedroom house cost? What method did you use to find the answer?

6 Fluency

7 Reasoning and problem solving

8 Reasoning and problem solving

9 Year 6 Autumn Block 2 Four Operations NCLO: Multiply multi-digit number up to 4 digits by a 2-digit number using the formal written method of long multiplication.

10 Key vocabulary and questions
Product Multiply Lots of Times Multiple Factor

11 Key vocabulary and questions
What is important to remember as we begin multiplying by the tens number? How would you draw the calculation? Can the inverse operation be used? Is there a different strategy that you could use?

12 Fluency

13 Fluency

14 Fluency

15 Reasoning and problem solving

16 Reasoning and problem solving

17 Year 6 Autumn Block 2 Four Operations NCLO: To use short division to divide by up to 2 digits

18 Key vocabulary and questions
Division Divisor Quotient Remainder Factor Multiple

19 Key vocabulary and questions
What is different between dividing by 1 digit and 2 digits? If the number does not divide into the ones, what do we do? Do we need to round our remainders up or down? Why does the context affect whether we round up or down?

20 Fluency

21 Fluency A limousine company allows 14 people per limousine. How many limousines need to be hired for 230 people?

22 Fluency Year 6 have 2,356 pencil crayons for the year. They put them in bundles with 12 in each bundle. How many complete bundles can be made?

23 Reasoning and problem solving

24 Reasoning and problem solving

25 Reasoning and problem solving

26 Four Operations NCLO: to solve division problems using factors
Year 6 Autumn Block 2 Four Operations NCLO: to solve division problems using factors

27 Key vocabulary and questions
Divisor Dividend Multiples Factors

28 Key vocabulary and questions
What is a factor? How does using factor pairs help us to answer division questions? Do you notice any patterns? Does using factor pairs always work? Is there more than one way to solve a calculation using factor pairs? What methods can be used to check your working out?

29 Fluency

30 Fluency

31 Fluency

32 Reasoning and problem solving

33 Reasoning and problem solving

34 Reasoning and problem solving

35 Year 6 Autumn Block 2 Four Operations NCLO: To use long division to divide 3 digit numbers by 2 digit numbers

36 Key vocabulary and questions
How can we use our multiples to help us divide by a 2- digit number? Why are we subtracting the totals from the beginning number (seeing division as repeated subtraction)? In long division, what does the arrow represent? (The movement of the next digit coming down to be divided)

37 Fluency

38 Fluency

39 Reasoning and problem solving

40 Reasoning and problem solving

41 Year 6 Autumn Block 2 Four Operations NCLO: To use long division to divide 4 digit numbers by 2 digit numbers

42 Key vocabulary and questions
How can we use our multiples to help us divide by a 2-digit number? Why are we subtracting the totals from the beginning number? In long division, what does the arrow represent?

43 Fluency

44 Fluency

45 Reasoning and problem solving

46 Reasoning and problem solving

47 Year 6 Autumn Block 2 Four Operations NCLO: To use long division to divide by 2 digit numbers (including remainders)

48 Key vocabulary and questions
Division Divisor Dividend Remainder Rounding Quotient

49 Key vocabulary and questions
How can we use our multiples to help us divide? What happens if we cannot divide our ones exactly by our divisor? How do we show what we have left over? Why are we subtracting the totals from the starting amount ? Does the remainder need to be rounded up or down?

50 Fluency

51 Fluency

52 Reasoning and problem solving

53 Reasoning and problem solving

54 Year 6 Autumn Block 2 Four Operations NCLO: Divide numbers up to 4 digits by a 2-digit number using the formal written method of short division, interpreting remainders according to the context.

55 Key vocabulary and questions
How can we use our multiples to help us divide? What happens if we cannot divide our ones exactly by our divisor? How do we show what we have left over? Why are we subtracting the totals from the starting amount? Does the remainder need to be rounded up or down?

56 Fluency Simon used this method to calculate 1426 divided by 13. He wrote down his multiples key facts to help him work out the answer.

57 Fluency

58 Reasoning and problem solving

59 Reasoning and problem solving

60 Four Operations NCLO: To identify common factors
Year 6 Autumn Block 2 Four Operations NCLO: To identify common factors

61 Key vocabulary and questions
How do you know you have found all the factors of a given number? Have you used a system? Can you explain your system to a partner? How does a Venn diagram help to find common factors? Where are the common factors?

62 Fluency

63 Fluency

64 Fluency

65 Reasoning and problem solving

66 Reasoning and problem solving

67 Reasoning and problem solving

68 Four Operations NCLO: To find and use common multiples
Year 6 Autumn Block 2 Four Operations NCLO: To find and use common multiples

69 Key vocabulary and questions
Multiple Common Times tables facts

70 Key vocabulary and questions
Are the lowest common multiples of a pair of numbers always the product of them? Can you think of any strategies to work out the lowest common multiples of different numbers? When do numbers have common multiples that are lower than their product?

71 Fluency

72 Fluency

73 Fluency

74 Reasoning and problem solving

75 Reasoning and problem solving

76 Reasoning and problem solving

77 Reasoning and problem solving

78 Four Operations NCLO: To identify and use prime numbers
Year 6 Autumn Block 2 Four Operations NCLO: To identify and use prime numbers

79 Key vocabulary and questions
prime numbers prime factors composite numbers

80 Key vocabulary and questions
What is a prime number? What is a composite number? How many factors does a prime number have? Are all prime numbers odd? Why is 1 not a prime number? Why is 2 a prime number?

81 Fluency

82 Fluency

83 Fluency

84 Reasoning and problem solving

85 Reasoning and problem solving

86 Reasoning and problem solving

87 Four Operations NCLO: To identify and use square and cube numbers
Year 6 Autumn Block 2 Four Operations NCLO: To identify and use square and cube numbers

88 Key vocabulary and questions
Square number Cube number Square root

89 Key vocabulary and questions
What do you notice about the sequence of square numbers? What do you notice about the sequence of cube numbers? Explore the pattern of difference between the numbers.

90 Fluency

91 Fluency

92 Fluency

93 Reasoning and problem solving

94 Reasoning and problem solving

95 Year 6 Autumn Block 2 Four Operations NCLO: To use the order of operations to carry out calculations involving the four operations.

96 Key vocabulary and questions
BODMAS What do each of the letters stand for

97 Key vocabulary and questions
Does it make a difference if you change the order in a mixed operations calculation? What would happen if we did not use the brackets? Would the answer be correct? Why?

98 Fluency

99 Fluency

100 Fluency

101 Reasoning and problem solving

102 Reasoning and problem solving

103 Four Operations NCLO: To solve mental calculations
Year 6 Autumn Block 2 Four Operations NCLO: To solve mental calculations

104 Key vocabulary and questions
Times tables Mental strategies Efficient

105 Key vocabulary and questions
Is there an easy and quick way to do this? Can you use known facts to answer the problem? Can you use rounding? Does the solution need an exact answer? How does knowing the approximate answer help with the calculation?

106 Fluency

107 Fluency

108 Fluency

109 Reasoning and problem solving

110 Reasoning and problem solving

111 Year 6 Autumn Block 2 Four Operations NCLO: Use and apply reasoning from known facts to solve problems

112 Key vocabulary and questions
What number facts do you know?

113 Key vocabulary and questions
What is the inverse? When do you use the inverse? How can we use multiplication/division facts to help us answer similar questions?

114 Fluency

115 Fluency

116 Fluency

117 Reasoning and problem solving

118 Reasoning and problem solving


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