Function machines – inputs, outputs and rules
MathematicsFunctions & GraphsAges 13–14
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Sign in to playChain up to 3 "machines" in a row to turn an input into an output. Four screens: Patterns (machines that rotate, flip, shrink/enlarge or recolour a picture), Numbers (an input–output table for a chain of add/subtract/multiply/divide machines), Equations (work out the formula y = ax + b for the chain and its graph) and Mystery (guess the machines hidden in boxes by testing several inputs, 4 levels). Based on the "Function Builder" simulation by PhET Interactive Simulations, University of Colorado Boulder (CC BY 4.0); rewritten.
Lesson: Functions and graphs
How to use
Parameters you can change
- Screen Patterns, Numbers, Equations, Mystery
- Input shape (Patterns screen) Star, Triangle, Arrow
- Shape machine 1 (Empty), Rotate 90°, Rotate 180°, Flip horizontally, Shrink, Enlarge, Turn red, Turn blue, Turn yellow
- Shape machine 2 (Empty), Rotate 90°, Rotate 180°, Flip horizontally, Shrink, Enlarge, Turn red, Turn blue, Turn yellow
- Shape machine 3 (Empty), Rotate 90°, Rotate 180°, Flip horizontally, Shrink, Enlarge, Turn red, Turn blue, Turn yellow
- See inside shape machines
- Number machine 1 – on
- Number machine 1 – operation Add, Subtract, Multiply, Divide
- Number machine 1 – value -9–9
- Number machine 2 – on
- Number machine 2 – operation Add, Subtract, Multiply, Divide
- Number machine 2 – value -9–9
- Number machine 3 – on
- Number machine 3 – operation Add, Subtract, Multiply, Divide
- Number machine 3 – value -9–9
- See inside number machines
- Show table of values (Numbers screen)
- Show graph (Equations screen)
