Input & Output Machines

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Presentation transcript:

Input & Output Machines

x 7 Minds on: 9 3 5 20 Input Output 63 9 20 140 140 35 21 63 3 21 5 35 This input/output machine multiples each input number by 7. Output numbers are multiples of 7. Suppose you input 9, 20, 3, 5. What will the output be? Input Output 9 63 9 20 x 7 20 140 140 35 21 3 63 3 21 5 5 35

Explore Choose a number and an operation to go in the first part of the machine. Choose a different number and a different operation to go in the second part of the machine. Use the numbers 1 to 5 as input. Find the output for each input number. Record the input and output in a table. Write the pattern rule for the output numbers. Describe how each output number is related to its input number. Share your work with another classmate. Find the next 3 output numbers for your classmates' Input/Output machine.

Example Input Output 1 2 3 4 5 x 2 + 6 Output 8 Input 10 12 14 16 This Input/Output machine doubles each input, then adds 6. When the input is 1, the output is 8. When the input is 5, the output is 16.

This time rewind…. Input Output 1 2 4 3 7 10 5 13 ? ? Input Output This table shows the input and output for this machine. Identify the numbers and operations in the machine.