Developing Calculation
Strategies
CPD Course
7th February 2007
Introduction
1
2
Alphabetland
The new number names are: A, B, C, D, …
You must not ‘translate’ these number names into the
banned number names one, two, three, ...
i How many fingers on your left hand (thumbs
count as fingers)?
ii How many fingers do you have altogether?
iii C + D
vi E + E
iv B + E
v K–B
vii G – D
viii E + F
Extension questions, if you have time: ix)
DC
x)
DB
3
A new table to learn
1*1 = 3
2*1 = 7
3*1 = 13
4*1 = 21
1*2 = 4
2*2 = 9
3*2 = 16
4*2 = 25
1*3 = 5
2*3 = 11
3*3 = 19
4*3 = 29
1*4 = 6
2*4 = 13
3*4 = 22
4*4 = 33
1*5 = 7
2*5 = 15
3*5 = 25
4*5 = 37
1*6 = 8
2*6 = 17
3*6 = 28
4*6 = 41
1*7 = 9
2*7 = 19
3*7 = 31
4*7 = 45
1*8 = 10
2*8 = 21
3*8 = 34
4*8 = 49
4
2*6 = 17
5
4*3 = 29
6
A new table to learn
1*1 = 3
2*1 = 7
3*1 = 13
4*1 = 21
1*2 = 4
2*2 = 9
3*2 = 16
4*2 = 25
1*3 = 5
2*3 = 11
3*3 = 19
4*3 = 29
1*4 = 6
2*4 = 13
3*4 = 22
4*4 = 33
1*5 = 7
2*5 = 15
3*5 = 25
4*5 = 37
1*6 = 8
2*6 = 17
3*6 = 28
4*6 = 41
1*7 = 9
2*7 = 19
3*7 = 31
4*7 = 45
1*8 = 10
2*8 = 21
3*8 = 34
4*8 = 49
Add together … x by 1st … +1
7
45 ÷ 6 : Easy!
How many games of rounders, each
lasting 6 minutes, can be played during a
45 minute P.E. lesson?
7
45 sweets are to be shared between 6
pupils. How many sweets will each pupil
receive & how many will be left over?
7 sweets each with 3 left over
8
45 ÷ 6 : Still Easy
A relay team do a sponsored run of 45
miles. There are 6 athletes in the team.
How far must each of them run?
71/2 miles
9
45 ÷ 6 : Still Easy!
£45 is to be shared between 6 pupils.
How much will each pupil receive?
£7.50
A piece of string 45cm long is to be cut
into 6 equal pieces. What will be the
length of each piece?
7.5 cm
10
45 ÷ 6 : Still Easy?
45 pupils are going on a school trip. Each
minibus can carry 6 pupils. How many
minibuses are needed?
8 minibuses
11
“Well done – so
what’s 5 bananas
plus 2 bananas?”
“We learnt that 5
apples plus 2 apples
makes 7 apples
today.”
“I dunno – we haven’t
done bananas yet.”
12
Language of Maths
sum of
more than
+
add
and
total
plus
13
Language of Maths
less than
take away
-
subtract
minus
difference between
14
Language of Maths
multiply
product
times
lots of
x
sets of
each
15
Language of Maths
divide
split
between

share
groups of
16
Language of Maths
equals
will be
makes
totals
=
gives
same as
17
4½
4x
41
18
Number sentences
What language would you use to describe these
number sentences?
6+3=9
15 +  = 20
(2 x 20) + (2 x 8) = 2 x 28
12 – 3 + 7 – 9 = 28  4
  1/3
1.5 <  < 2.5
19
Forbidden Words
20
Upside-down Triangle?
21
Understanding Questions
If the exchange rate is 1 Australian
dollar for 37.02p, how much money
would Amanda get for the A$48.65 she
brought to England with her?
How might you rephrase this question to make it
easier to understand?
22
Definitions
mean
face
negative
root
23
translate
reflex
cancel
table
right
round
solution
net
property
unit
fair
point
plane
axes
24