EDEXCEL GCSE FOUNDATION MATHS - What is a Function Machine

Edexcel GCSE Foundation Maths: What is a Function Machine?

Introduction

A function machine is a way to represent a mathematical rule or function. It takes an input value, applies a rule to it, and then produces an output value.

Understanding the Parts

• Input: The value you start with.
• Rule: The mathematical operation you perform on the input.
• Output: The result of applying the rule to the input.

Visualizing the Machine

Imagine a box with a slot labelled "Input" and another slot labelled "Output". Inside the box, a mathematical rule is written. When you put a number into the input slot, the machine applies the rule and sends the result out of the output slot.

Examples

Example 1:

Example 2:

Example 3:

Using Function Machines

Function machines are helpful for:

• Understanding mathematical relationships: They visualize how a rule affects different input values.
• Solving equations: You can use a function machine to work out the value of an unknown variable.
• Exploring patterns: By changing the rule, you can see how the output changes in different ways.

Practice

Try creating your own function machine with different rules. Experiment with different input values and observe the resulting output.

Summary

Function machines are a visual tool for understanding mathematical rules and their applications. By learning about function machines, you will gain a deeper understanding of mathematical concepts and improve your problem-solving skills.