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Single Function Machine

Single Function Machine. Numbers are entered into a function machine 1, 2, 3, 4 …. What is happening to the numbers?. 2, 4, 6, 8 … These numbers come out. What is happening?. Numbers are entered into a function machine 1, 2, 3, 4 …. 2, 3, 4, 5 … These numbers come out.

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Single Function Machine

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

  2. What is happening? Numbers are entered into a function machine 1, 2, 3, 4 … 2, 3, 4, 5 … These numbers come out

  3. What is happening? Numbers are entered into a function machine 10, 20, 30, 40 … 5, 10, 15, 20 … These numbers come out

  4. Using the TI-15 Explorer™ • Locate the op1 key  • This key operates like a function machine. • To simulate a function machine that doubles the numbers press  x2 . • Enter 5 into your calculator press . The display should show 10.

  5. Using the TI-15 Explorer™ 2 • Use the  key to create your own function machine questions. • Write your questions on the single function machine worksheet. • Remember to keep a copy of your questions and answers. • Give a copy of your question sheet to a partner to solve.

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

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

  8. Reverse Function Machine 3 What happens if the function machine is set in reverse? 10, 15, 20, 25 …. What is happening to the numbers? 20, 30, 40, 50 … These numbers are fed into the machine

  9. Linking Forward and Reverse • What do you notice happens to the operation when a function machine is set in reverse? • Explore your ideas using the  key on your TI-15 Explorer™ calculator

  10. Forward and Reverse • + and – are inverse operations • If the function machine adds 2, then when it is put in reverse it would subtract 2 • X and ÷ inverse operations • If the function machine multiplies by 10, then when it is put in reverse it will divide by 10

  11. What Happens When Two Function Machines Are Joined? 1, 2, 3, 4 …. Test it out using the  and  keys on your TI-15 Explorer™ calculator + 2 + 3

  12. Addition and Subtraction 1, 2, 3, 4 …. What about subtracting and adding? + 5 – 2

  13. Multiplication 1, 2, 3, 4 …. Could I replace two function machines with one machine? What single machine could replace the two machines? x 2 x 5

  14. Multiplication and Division 1, 2, 3, 4 …. What happens when you join two division function machines? x 10 ÷ 2

  15. Prime Numbers

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