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Progression in written calculations. Tuesday 20 th October. Addition. Practical activities and discussions Finding one more than a number from 1 – 10 Using vocabulary associated with addition Use of a number line Begin to use the + and = sign to record mental calculations

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Presentation Transcript
addition
Addition
  • Practical activities and discussions
  • Finding one more than a number from 1 – 10
  • Using vocabulary associated with addition
  • Use of a number line
  • Begin to use the + and = sign to record mental calculations
  • Know by heart all number bonds to 10 and within 10
  • Use knowledge to know that addition can be done in any order to do mental calculations more efficiently
addition1
Addition
  • Adding 3 single digit number mentally
  • Know by heart all number bonds to 20 and within 20
  • Use + and = to record mental calculations use a number line to make informal calculations
  • Use a number line to make informal jottings
  • Use partitioning to reflect mental methods
  • 45 +78 = 40 + 70 + 5 + 8
addition2
Addition
  • Vertical format least significant digit first extended to bigger numbers

368

+ 493

11

150

700

861

  • Use of a number line to check
addition3
Addition
  • Compact layout, starting to involve carrying

546 472

+ 253 +372

799 844

1

  • Extending to decimals
  • Compact addition using carrying for Th, H, T, U and decimals
subtraction
Subtraction
  • Practical activities and discussions
  • Finding one less than a number from 1 – 10
  • Begin to relate subtraction to ‘taking away’
  • Use a number line to count on and back
  • Begin to understand that subtraction is ‘finding the difference’
  • Begin to use the – and = sign to record mental calculation
  • Know by heart all subtraction facts to 10
subtraction1
Subtraction
  • Know by heart all subtraction facts to 20
  • Partition numbers (no crossing boundaries)
  • Use informal pencil and paper methods (jottings)
  • Use a number line to record complementary addition

eg 84 – 56 =

+4 +20 +4

----------------------------------------------

56 60 80 84

subtraction2
Subtraction
  • Vertical expanded method

563 – 241 =

500 + 60 + 3

- 200 + 40 + 1

300 + 20 + 2

  • 373 – 125 =

60 13

300 + 70 + 3

- 100 + 20 + 5

200 + 40 + 8

Use of a number line to check

subtraction3
Subtraction
  • Compact method – decomposition including larger numbers and decimals

6695

2584 -

4111

6 8

7293

3426 -

3867

multiplication
Multiplication
  • Practical activities to gain experience of doubling
  • Become familiar with appropriate language
  • Use of arrays
  • Know by heart addition doubles to at least 10
  • Know by heart x2, x10 multiplication facts
multiplication1
Multiplication
  • Understand multiplication as repeated addition
  • Know by heart multiplication facts up to x10
  • Use a number line to show repeated addition
multiplication2
Multiplication
  • Mental methods using partitioning

38 x 7 = ( 30 x 7 ) + ( 8 x 7 ) =

210 + 56 = 266

  • Introduce the grid method

38 x 7 = 266

multiplication3
Multiplication
  • Extend the grid method to larger numbers

56 x 27 =

multiplication4
Multiplication
  • Extend the grid method to even larger numbers and decimals

23.5 x 12 =

  • Compact vertical multiplication

38

x 7

266

division
Division
  • Practical activities to gain experience of sharing and to become familiar with the appropriate language
  • Understand division as grouping, repeated subtraction or sharing and record informally including calculations with remainder

egHow many 4s in 12?

  • How many are left over if I share 13 between 4?
division1
Division
  • Use practical informal methods to divide 2 digit numbers.
  • Round remainders up and down

eg 14 ÷ 4 =

----------------------------------------------

0 4 8 12 14

division2
Division

Develop and refine written method

eg 98 ÷ 6 =

10 x 6 6 x 6 r2 or 1/3

----------------------------------------------

0 60 96 98

Refine and use efficient written methods using multiples of 10 and remainders

eg 178 ÷ 8 =

20 x 8 2 x 8 r2 or ¼

----------------------------------------------

0 160 176 178

division3
Division

Use a standard written method:

Long division

168

4 ) 672

400 –

272

240 –

32

Compact short division

0 4 7 r 2 or 2/5

5 ) 22337