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Numeracy
... Basic Operations ...

Index:
Unit plans .
*Adding and Subtracting
  1. Concrete operational
  2. Bond Pairs
  3. Partitioning
  4. "Super Partitioning"
  5. Number Lines
  6. Near 10
  7. "Super Near 10"
  8. Near doubles and halving
  9. Tables and Near Multiples
  10. Algorithms
  • Puzzle Tables
  • Difference
  • Addition and Subtraction problems
Multiplying and dividing
  • Word Problems
  • Crossword
  • Related facts
  • Tables Grids
  • Puzzle Tables
Basic Operations Basic Operations Cards

Unit Plans

Developing Different Ways to Add and Subtract
  1. Concrete Operational (counting physical things)
  2. Use blocks, fingers or Green Bottles to 5
    (Cut out and cut along the slits. Bottles can be folded down for subtraction or lifted for addition. We have started up to 5 as we believe some children manage better when they begin with the same number of fingers they can count whilst still holding their pencil with the other hand)

  3. Bond Pairs





  4. Adding or subtracting by Partitioning:
  5. add subtract
    easier...
    51 + 23=
    50 + 1 + 20 + 3
    (can be tricky if unit to be subtracted is larger)
    easier ...
    54 - 12=
    (50 - 10 = 40)
    (4 - 2 = 2)
    40 + 2 =
    harder ...
    54 - 16 =
    (40 - 10 = 30)
    (14 - 6 = 8)
    30 + 8 =

  6. "Super Partitioning" (Our own method)

  7. We encourage more able students to partition only one number
    add subtract
    easier ....
    55 + 23=
    55 + 20 = 75
    75 + 3 =
    (no difference if unit being subtracted is larger)
    smaller unit being subtracted ...
    55 - 23 =
    55 - 20 = 35
    35 - 3 =

    larger unit being sutbtracted ...
    55 - 26=
    55 - 20 = 35
    35 - 6 =

  8. Number lines
    Teach addition, subtraction (and even simple repeated addition and subtraction) - by 'jumping'. These number lines need to be cut up so children can stick them in their books.


  9. Near 10
  10. addition subtraction
    29 + 13=
    30 + 10 + 3= 43
    43 - 1 =
    (can be tricky especially if the unit being subtracted is larger)
    easier .... 57 - 25=
    (50 - 20 = 30)
    (7 - 5 = 2)
    30 + 2 =

    harder ...
    57 - 28 =
    (40 - 20 = 20)
    (17 - 8 = 9)
    20 + 9 =

  11. "Super Near 10" (our own method)
  12. addition subtraction
    28 + 14 =
    28 + 10 + 4
    (size of the units makes no difference ... a real bonus esp for LA children)
    smaller unit ....
    28 - 14 =
    28 - 10 = 18 28 - 4 =

    larger unit ...
    28 - 19 =
    28 - 10 = 18
    18 - 9 =

  13. Near Doubling and Halving
  14. addition subtraction
    easier ...
    27 + 29 =
    25 + 2 + 25 + 4
    harder ... (double is less apparent)
    53 - 26 =
    50 -25 =25
    (3 - 1 = 2)
    25 + 2 =

  15. Tables and Near multiples (our own method)
  16. addition subtraction
    easier ....
    14 + 7 = 21

    harder ...
    15 + 9 =
    (14 + 7 = 21)
    (1 + 2 = 3)
    21 + 3 =
    easier ...
    28 - 7 = 21

    hard - can children cope with inverting? ...
    27 - 9 =
    (28 - 7 = 21)
    (+1 + 2 = +3)
    21 - 3 = 18

  17. Algorithms (or column addition)
    We discourage this, especially in lower years as we have found it to be the least accurate of all the methods for the children









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Copyright 2002
Last modified: 29 April 2006
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