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Function Machines Introduction

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Function Machines Introduction

Function machine with gears and numbers

🔧 Part 1: Understanding Function Machines

1. What is a function machine?

A machine that breaks numbers

A machine that takes an input, does an operation, and gives an output

A machine that only adds numbers

2. Complete these function machines. The operation is shown in each machine.

Machine A: +5

Input: 3 → Output: _____

Input: 7 → Output: _____

Input: 12 → Output: _____

Machine B: ×4

Input: 2 → Output: _____

Input: 5 → Output: _____

Input: 10 → Output: _____

3. What operation is this function machine doing?

Input: 8 → Output: 3

Input: 12 → Output: 7

Input: 15 → Output: 10

The operation is: _____________

⚙️ Part 2: Finding Missing Numbers

4. Find the missing inputs or outputs:

Machine C: ÷3

Input: 9 → Output: _____

Input: _____ → Output: 4

Input: 21 → Output: _____

Machine D: -6

Input: _____ → Output: 4

Input: 15 → Output: _____

Input: _____ → Output: 8

5. Circle the correct inverse operations:

If a machine adds 7, the inverse operation is subtract 7

If a machine multiplies by 3, the inverse operation is divide by 3

If a machine subtracts 4, the inverse operation is add 4

If a machine divides by 2, the inverse operation is multiply by 2

🎯 Part 3: Create Your Own

6. Design your own function machine and complete the table:

My function machine operation: _____________

Input: 6 → Output: _____

Input: 10 → Output: _____

Input: 1 → Output: _____

7. Explain in your own words what a function machine does:
8. Challenge: If a function machine has the rule "×2 then +3", what would be the output for an input of 5?

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