1. Input/ Output Machines
Grade 6 Pattering Unit

2. Recap
- Why is a multiplication table useful?
- What are some patterns

3. What is an input/ output machine?
Input: a number goes in here
Another number comes out here
What do you think happens in the middle of the machine?

4. - In the input/ output machine a number will go in from one side, then go through the middle of the machine
- As it is in the middle of the machine, it is going through a rule or rules
- When the number is finished going through the middle of the machine, a new number comes out of the output

5. What do you think the rule is?
For example... 2 3 6
Input 9
Input
Output
Output
Input
Output 2 6 3 9 4 5
What do you think the rule is?

6. What would come next if we know the rule?
Input
Output 2 6 3 9 4 5

7. Input
Output 2 6 3 9 4 12 5 15

8. Input/ Output when you know the rule
- Sometimes you will know what the rule is before it goes in the machine. For instance, in this machine the rule is: multiply by 5 and add 2 1
???

9. REMEMBER: The pattern rule is multiply by 5 and add 2
Input
Output 1 7 2 3 4

10. Input
Output 1 7 2 12 3 17 4 22

11. Task...
In pairs, you will draw an input/ output machine with a t-chart below it.
-First, select which multiples you will use for your input (i.e. 2s, 7s, 20s etc.)
-Second, select a two step pattern rule you will use for the middle of your machine
-Third, give your machine to your partner, so they can fill out the output section in the t-chart