
Function Machines and Rules
Explore function machines and rules by solving missing functions, calculating inputs and outputs, and understanding different functions' behaviors. Dive into the world of functions and test your understanding with various examples and questions.
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Presentation Transcript
1) Write the missing function in the function machine. Input Output 36 9 100 25 2) Calculate the missing inputs and outputs for the function machine. Input Output 127 2 8 1
1) Write the missing function in the function machine. Input Output 36 9 4 100 25 2) Calculate the missing inputs and outputs for the function machine. Input Output 127 119 2 10 8 1 9
A function machine is a way of writing rules. Input Output 2 + 1 3 ? 7 2 + 1 10 ? 2 + 1 50 ? 2 + 1 ? 11 Have a think
A function machine is a way of writing rules. Input Output 2 + 1 3 7 2 + 1 10 21 ? 2 + 1 50 101 ? 2 + 1 ? 5 11 1 2
Functions Input Output 2 + 1 + 1 2 I wonder if it makes a difference which order the functions are in Have a think
Functions Input Output 2 2 2 + 1 + 1 3 1 3 + 1 + 1 2 2 2 4 4 1
Input Functions Output 2 2 4 + 1 + 1 5 2 5 + 1 + 1 3 2 2 6 2 6 If the inputs are the same, the output for the second machine is always 1 greater. Do you agree with Dexter?
Have a go at questions 1 - 3 on the worksheet
True or False These function machines will give the same output if the input is the same. Input Output 4 6 2 12 Have a think
True or False These function machines will give the same output if the input is the same. Input Output 24 2 48 4 6 2 12 2 48 24
For each function machine, write a single step that would give the same output. Input Output 8 4 2 4 8 + 8 3 3 + 8 + 5 Have a think
Eva is ordering some crayons online. She needs to buy 22 crayons altogether. How much will it cost for 22 crayons including delivery? 30p each 1.60 to deliver Create a function machine to help you. Have a think
Eva is ordering some crayons online. She needs to buy 22 crayons altogether. How much will it cost for 22 crayons including delivery? 8.20 30p each 1.60 to deliver Input Output 22 0.30 6.60 8.20 + 1.60 22 3 = 66 22 0.3= 6.6
Have a go at the rest of the questions on the worksheet