Thursday, 27 September 2012

Division Strategies Revision


  • Halving and Halving Strategy  

E.g. 96 ÷ 24 = 4
48 ÷ 12 = 4
24 ÷ 6   = 4
12 ÷ 3   = 4
  • Using Known Facts Strategy 

This strategy, as the name suggests, involves breaking up the problem into know pieces  to make it easier.

E.g. 136 ÷ 8 = ?
10 x 8 = 80 (136 - 80 = 56)
56 ÷ 8 = 7

There are 10 groups of 8 in the 80, and 7 groups of 8 in 56, so altogether there are 17 groups of 8 in 136, => 136 ÷ 8 = 17.

Multiplication Practise

Think about what would be the best strategy then have a go at practising with the following problems.

5 x 84 =        

9 x 17 =

8 x 45 =

78 x 5 =

97 x 4 =

3 x 14 =

4 x 33 =

5.8 x 8 =

9 x 12.4 =

4.2 x 4 =

8.9 x 4 =

Get someone at home to write you some new problems so you can keep practising.
Also check out Room 11's blog. They have videos of kids explaining how to use all the strategies.

Multiplication Strategies Revision


Multiplication
  • Place Value Strategy
(Good for problems that have multiple digit numbers that end in 1, 2, 3, 4, 5)

Eg. 6 x 15 = (6 x 10) + (6 x 5)
= 60 + 30
= 90

  • Rounding and Compensating Strategy
(Good for problems that have multiple digit numbers that end in 6, 7, 8, 9)

Eg. 7 x 19 = (7 x 20) - (7 x 1)
= 140 - 7
= 133

  • Doubling and Halving Strategy (Can also be applied as Tripling and Thirding)

E.g 5 x 46 = 10 x 23  (Double the ‘5’, and halve the ’46’)
= 230 

Or. 3 x 24 = 9 x 8     (Triple the ‘3’ and third the ’24’)

Tuesday, 25 September 2012

Subtraction Practise

45 - 17 =

3.1 - 1.9 =

345 - 231 =

68 - 52 =

12.7 - 3.3 =

93 - 34 =

When you have finished, ask someone at home to write you some more similar problems.

Subtraction Strategy Practise


  • Place Value Strategy

Eg. 47 - 34 = 47 - 30 - 4
      = 17 - 4
      = 13

Or. 82 - 19 = 82 - 10 - 9
      = 72 - 9 (The nine is split into parts to make this step easier)
      = 72 - 2 - 7
      = 70 - 7
      = 63

  • Equal Adjustment Strategy
(The second number in the equation is rounded up or down to a ‘tidy ten’, an equal amount must then be added or subtracted from the first number. NB In subtraction problems, you either add to both numbers OR subtract from both numbers)

Eg. 123 - 49 = 124 - 50
+1     +1 
       = 74

E.g. 84 - 52 = 82 - 50
-2   -2 
     = 32

- Reversibility Strategy 
(A subtraction equation can be reversed and made into an addition problem. A number line can then be used to help solve the problem)

Eg. 73 - 29 = ?
29 + ? = 73

29 30     70       73
    +1    +40      +3
29 + 44 = 73
so 73 - 29 = 44