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Written Calculations Parent
Workshop – Subtraction and
Division KS2
Resources
 Pencils
 Whiteboards/pens/rubbers
 Squared paper
 Number line
 Ruler
 100 square
 Unifix cubes
Why we are doing this
 Calculation Audit – Audit the knowledge of the children
by giving them 3 age appropriate calculations to
complete in each operation. Subtraction and division
were the weakest. Across the school only 48% of
subtraction questions were answered correctly. 36% for
division. It also showed a range of different methods
used.
 Data across KS2 in particular shows that Maths is a
weaker area. This is apparent through monitoring
including looking through books – there is inconsistency
in strategies children are using.
 2 key areas were identified by OFSTED which would
improve the learning across the school. One of which
was: Teachers do not always ensure that lower ability
learners have grasped essential concepts before
moving on to more complex concepts. This is
especially the case in mathematics.
Calculations policy
 In September 2013 – We introduced a
calculations policy in the school. This is
to ensure that everyone is clear on the
different steps that will be taught in each
year group for each calculation operation
 It is an essential document because it
ensures consistency across the school
and shows a gradual building step by
step to ensure deep conceptual
understanding of number and not only
“how to achieve the answer to the
question in the quickest time”
 This is available on the school website
This session
 What it IS
◦ The purpose of this session is to inform
parents of the methods we use and
expect in school at each age group in
KS2.
◦ This is to ensure parents have the
strategies to support our calculation policy
at home
 What it ISN’T
◦ A debate – The calculation policy has
been agreed by all staff and governors
Subtraction
 Understanding how to partition numbers is
key
123 = 100 + 20 + 3
456 = 400 + 50 + 6
Also (when moving toward ‘exchange’)
56 = 50 + 6
56 = 40 + 16
223 = 100 + 120 + 3
Partition these numbers
 74
 276
 741
 2534
 4528
Year 2
Counting back in ones using a
number line or a hundred square
Use this method to solve these
calculations
 19 – 6
 39 - 8
 24 – 9
 32 - 13
Year 3
Use this method to solve these
calculations
 44 – 26
 84 – 33
 74 – 57
 134 - 49
Use this method to solve these
calculations
 434 – 319
 746 – 437
 879 – 292
Year 4 – 5
Expanded column method
Use this method to solve these
calculations
 358 – 236
 741 – 379
 1546 – 687
Y5 - 6
 Using the language of 150-70 OR 15
tens take away 7 tens
Use this method to solve these
calculations
 957 – 354
 356 – 749
 2584 – 1038
 7453 - 5327
Division
 Important for children to understand
the difference between grouping and
sharing.
 There is a very clear running theme
throughout which is used all the way
through KS2 - groups/chunks
Division
 Sharing
 6 ÷ 2
 12 ÷ 4
 Grouping
 6 ÷ 2
 12 ÷ 4
Year 2 - 3
Use this method to solve these
calculations
 36 ÷ 6
 42 ÷ 7
 45 ÷ 4
 57 ÷ 5
Year 3 - 4
Chunking on a number line: (for larger numbers) e.g. 84÷6
Use this method to solve these
calculations
 98 ÷ 7
 87 ÷ 4
 136 ÷ 8
 174 ÷ 6
Year 4/5
Chunking
vertically:
(Taking away
‘chunks’ of a
number)
Bus stop chunking
Use this method to solve these
calculations
 276 ÷ 7
 532 ÷ 6
 379 ÷ 12
 477 ÷ 17
Year 6
 Formal Long Division
 Three steps – Division – Multiplication
– subtraction
 This may be most similar to what
many are used to but there are key
differences
Use this method to solve these
calculations
 965 ÷ 8
 475 ÷ 12
 743 ÷ 14
 643 ÷ 18

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Updated ppt

  • 1. Written Calculations Parent Workshop – Subtraction and Division KS2
  • 2. Resources  Pencils  Whiteboards/pens/rubbers  Squared paper  Number line  Ruler  100 square  Unifix cubes
  • 3. Why we are doing this  Calculation Audit – Audit the knowledge of the children by giving them 3 age appropriate calculations to complete in each operation. Subtraction and division were the weakest. Across the school only 48% of subtraction questions were answered correctly. 36% for division. It also showed a range of different methods used.  Data across KS2 in particular shows that Maths is a weaker area. This is apparent through monitoring including looking through books – there is inconsistency in strategies children are using.  2 key areas were identified by OFSTED which would improve the learning across the school. One of which was: Teachers do not always ensure that lower ability learners have grasped essential concepts before moving on to more complex concepts. This is especially the case in mathematics.
  • 4. Calculations policy  In September 2013 – We introduced a calculations policy in the school. This is to ensure that everyone is clear on the different steps that will be taught in each year group for each calculation operation  It is an essential document because it ensures consistency across the school and shows a gradual building step by step to ensure deep conceptual understanding of number and not only “how to achieve the answer to the question in the quickest time”  This is available on the school website
  • 5. This session  What it IS ◦ The purpose of this session is to inform parents of the methods we use and expect in school at each age group in KS2. ◦ This is to ensure parents have the strategies to support our calculation policy at home  What it ISN’T ◦ A debate – The calculation policy has been agreed by all staff and governors
  • 6. Subtraction  Understanding how to partition numbers is key 123 = 100 + 20 + 3 456 = 400 + 50 + 6 Also (when moving toward ‘exchange’) 56 = 50 + 6 56 = 40 + 16 223 = 100 + 120 + 3
  • 7. Partition these numbers  74  276  741  2534  4528
  • 8. Year 2 Counting back in ones using a number line or a hundred square
  • 9. Use this method to solve these calculations  19 – 6  39 - 8  24 – 9  32 - 13
  • 11. Use this method to solve these calculations  44 – 26  84 – 33  74 – 57  134 - 49
  • 12. Use this method to solve these calculations  434 – 319  746 – 437  879 – 292
  • 13. Year 4 – 5 Expanded column method
  • 14. Use this method to solve these calculations  358 – 236  741 – 379  1546 – 687
  • 15. Y5 - 6  Using the language of 150-70 OR 15 tens take away 7 tens
  • 16. Use this method to solve these calculations  957 – 354  356 – 749  2584 – 1038  7453 - 5327
  • 17. Division  Important for children to understand the difference between grouping and sharing.  There is a very clear running theme throughout which is used all the way through KS2 - groups/chunks
  • 18. Division  Sharing  6 ÷ 2  12 ÷ 4  Grouping  6 ÷ 2  12 ÷ 4
  • 19. Year 2 - 3
  • 20. Use this method to solve these calculations  36 ÷ 6  42 ÷ 7  45 ÷ 4  57 ÷ 5
  • 21. Year 3 - 4 Chunking on a number line: (for larger numbers) e.g. 84÷6
  • 22. Use this method to solve these calculations  98 ÷ 7  87 ÷ 4  136 ÷ 8  174 ÷ 6
  • 24. Use this method to solve these calculations  276 ÷ 7  532 ÷ 6  379 ÷ 12  477 ÷ 17
  • 25. Year 6  Formal Long Division  Three steps – Division – Multiplication – subtraction  This may be most similar to what many are used to but there are key differences
  • 26. Use this method to solve these calculations  965 ÷ 8  475 ÷ 12  743 ÷ 14  643 ÷ 18

Editor's Notes

  1. Use unifix to do this Concept of repeated subtraction from a larger number Model one with a remander 30 / 7