This document discusses strategies for working out unknown multiplication tables by relating them to known tables using compensation strategies. It provides examples of using known facts like 10x7=70 to determine the unknown 8x7 by thinking of 8x7 as (10x7) - (2x7). This allows the reader to understand the meaning of the tables rather than just memorizing them. It encourages practicing this method beyond 12x12 and sending examples of workings through Showbie.

1. A. Box August 2015
…you’re actually better off
knowing the tricks to WORK
OUT your tables.
But the good news is…
If you can WORK OUT tables using
your number knowledge, you
UNDERSTAND what the table means...
…and this skill is MORE IMPORTANT than simply remembering all of them.

2. A. Box August 2015
You can use TABLES YOU KNOW to out the ones you don’t.
If you can WORK OUT tables using your number knowledge, you
UNDERSTAND what the table means.
Ask yourself…
7 x 10 = 707 x 8
You Need to
Figure Out… How do they
relate?
Ask yourself…
8 x 7
7 x 8
is the
same
as
(10x7) – (2x7)
70 - 14
70 – 14 = 56
7 x 8 = 56
8 x 7 = 56
so 10 x 7 = 70
8 x 7
Compensation strategy

3. A. Box August 2015
Use TABLES YOU KNOW to out the ones you don’t.
Let’s try another.
Ask yourself…
6 x 11 = 666 x 12
You Need to
Figure Out…
How do they
relate?
Ask yourself…
12 x 6
is the
same
as
(6x11) + (6x1)
66 + 6
66 + 6 = 72
6 x 12 = 72
12 x 6 = 72
so
6 x 12
11 x 6 = 66
Compensation strategy

4. A. Box August 2015
Use TABLES YOU KNOW to out the ones you don’t.
Let’s try another.
Ask yourself…
10 x 6 = 60
9 x 6
You Need to
Figure Out…
How do they
relate?
Ask yourself…
6 x 9
is the
same
as
(10x6) - (1x6)
60 - 6
60 - 6 = 54
9 x 6 = 54
6 x 9 = 54
so
9 x 6
6 x 10 = 60
Compensation strategy

5. A. Box August 2015
For those who have mastered all their tables, this strategy
can be used beyond 12 x 12.
Ask yourself…
15 x 10 = 15015 x 9
You Need to
Figure Out… How do they
relate?
Ask yourself…
9 x 15
is the
same
as
(10 x 15) - (1x15)
150 - 15
150 - 15 = 135
15 x 9 = 135
9 x 15 = 135
so
15 x 9
10 x 15 = 150
Compensation strategy

6. A. Box August 2015
Let’s try another.
Ask yourself…
16 x 10 = 16016 x 8
You Need to
Figure Out… How do they
relate?
Ask yourself…
8 x 16
is the
same
as
(10 x 16) - (2x16)
160 - 32
160 - 32 = 128
16 x 8 = 128
8 x 16 = 128
so
16 x 8
10 x 16 = 160
Compensation strategy

7. One more together…
Ask yourself…
20 x 7 = 14019 x 7
You Need to
Figure Out… How do they
relate?
Ask yourself…
7 x 19
is the
same
as
(20 x 7) - (1x7)
140 - 7
140 - 7 = 133
19 x 7 = 133
7 x 19 = 133
so
19 x 7
7 x 20 = 140
Compensation strategy

8. 19 x 9
6 x 14
…any or all of the following:
7 x 18
7 x 9
12 x 8
13 x 9 18 x 6
14 x 9
14 x 11
Compensation strategy
Send me some photos through Showbie, Number Tricks of your workings.