Function Machines Single Function Machine Numbers are entered

Function Machines

Single Function Machine Numbers are entered into a function machine 1, 2, 3 3, 4 …. 1 2 2 2 4 2, 4, 6 6, 8 These numbers come out What is happening to the numbers?

Single Function Machine Numbers are entered into a function machine 1, 2, 3 3, 4 …. 1 2 +1 2, 3, 4 4, 5 2 3 These numbers come out What is happening to the numbers?

Single Function Machine Numbers are entered into a function machine 10, 20, 30 30, 40 …. 10 20 2 5, 10, 15 15, 20 5 10 These numbers come out What is happening to the numbers?

Reverse Function Machine What happens if the function machine is set in reverse? 1, 2, 3 3, 4 …. 1 2 2 2, 2 4 4, 6 6, 8 … These numbers are fed into the machine What is happening to the numbers?

Reverse Function Machine What happens if the function machine is set in reverse? 1, 2, 3 3, 4 …. 1 2 - 1 2, 3 3, 4 4, 5 … 2 These numbers are fed into the machine What is happening to the numbers?

Reverse Function Machine What happens if the function machine is set in reverse? 10, 20 20, 30 30, 40 …. 10 2 5, 10, 15 15, 20 … 5 10 These numbers are fed into the machine What is happening to the numbers?

Linking Forward and Reverse • What do you notice happens to the operation when a function machine is set in reverse? • + and – are inverse operations If the function machine adds 2, then when it is put in reverse it would subtract 2 • and ÷ inverse operations If the function machine multiplies by 10, then when it is put in reverse it will divide by 10

What Happens When Two Function Machines Are Joined? 11, 2 2, 3 3, 4 …. + 65432 +3 6, 7 6 7, 8 8, 9 …. Could I replace two function machines with one machine? What single machine could replace the two machines?

What Happens When Two Function Machines Are Joined? What about subtracting and adding? 11, 2 2, 3 3, 4 …. + 98765 -2 4, 5 4 5, 6 6, 7 …. Could I replace two function machines with one machine? What single machine could replace the two machines?

What Happens When Two Function Machines Are Joined? What about multiplication? 11, 2 2, 3 3, 4 …. 2 4 6 8 2 5 10, 20 10 20, 30 30, 40 Could I replace two function machines with one machine? What single machine could replace the two machines?

What Happens When Two Function Machines Are Joined? Multiplication and Division 11, 2 2, 3 3, 4 …. 10 20 30 40 10 2 5, 5 10, 10 15 15, 20 Could I replace two function machines with one machine? What single machine could replace the two machines? What happens when you join two division function machines?