Year 9 Function Machines Worksheets | Printable PDFs
Year 9 Function Machines worksheets for Year 9 Maths (Key Stage 3). Students aged 13–14 learn how to use function machines to generate outputs from given inputs and identify mathematical rules. A function machine is a process that takes an input, applies a rule, and produces an output. Students develop algebraic thinking by working with increasingly complex function machines and inverse operations.
A function machine and an equation on a Cartesian grid both show the relationship between an input and an output. For example, if a function machine multiplies by 2 and adds 1, the rule is: y = 2x + 1. For more basic function machines see Year 8 Function Machines Worksheets.
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Function Machines
For more Function Machines Worksheets, see Year 8 Function Machines Worksheets
Common Questions about Year 9 Function Machines
What is a function machine?
A function machine applies one or more operations to an input to produce an output.How can you find the rule of a function machine?
Compare the inputs and outputs to identify the operations that transform one into the other.What is the inverse of a function machine?
The inverse function reverses the original operations and can be used to work backwards from an output to an input.
Year 9 Function Machines Common Mistakes
Common Mistake 1
Applying the operations in the wrong order.Common Mistake 2
Forgetting to reverse both the order and the operation when finding the inverse.Common Mistake 3
Using the output as the input without working backwards through the function machine.
Function Machines Worksheets - Free Worksheets Above
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