Lesson Page Mathematical Reasoning

Knowing Multiplication  Patterns

Remember:
Multiplying is just like 'counting by groups'
(ex: Multiplying by 3 is like counting by 3's= 3,
6, 9, 12, etc.)

Examples:

Input Multiplying Machine

Input          X                        =        Output

 5              x 25 4              x 20 3             x 15

In order to get the answers we got in the Output,
the Input Machine must be x5

This would be an example of a
x5 Multiplying Pattern because

5 x 5= 25     (5, 10, 15, 20, 25)  count by 5, five times
4
x 5= 20     (5, 10, 15, 20)        count by 5, four times
3 x 5= 15     (5, 10, 15)              count by 5, three times

Input Multiplying Machine
Input         X                       =       Output

 2              x 4 5              x 10 8             x 16

In order to get the answers we got in the Output here,
the Input Machine must be x2

This would be an example of a
x2 Multiplying Pattern because

2 x 2= 4     (2, 4)                                  count by 2, two times
5 x 2= 10   (2, 4, 6, 8, 10)                    count by 2, five times
8 x 2= 16   (2, 4, 6, 8, 10, 12, 14, 16)  count by 2, eight times

Don't Forget:
Multiplying is just like 'counting by groups'
(ex: Multiplying by 3 is like counting by 3's= 3,
6, 9, 12, etc.)