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Single Function Machine Numbers are entered into a function machine 1, 2, 3, 4 …. 2, 4, 6, 8 … These numbers come out What is happening to the numbers? What is happening? Numbers are entered into a function machine 1, 2, 3, 4 … 2, 3, 4, 5 … These numbers come out What is happening? Numbers are entered into a function machine 10, 20, 30, 40 … 5, 10, 15, 20 … These numbers come out 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. 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. Reverse Function Machine What happens if the function machine is set in reverse? 1, 2, 3, 4 …. 2, 4, 6, 8 … These numbers are fed into the machine What is happening to the numbers? Reverse Function Machine 2 What happens if the function machine is set in reverse? 1, 2, 3, 4 …. 2, 3, 4, 5 … These numbers are fed into the machine What is happening to the numbers? Reverse Function Machine 3 What happens if the function machine is set in reverse? 10, 15, 20, 25 …. 20, 30, 40, 50 … 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? • Explore your ideas using the key on your TI-15 Explorer™ calculator 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 What Happens When Two Function Machines Are Joined? 1, 2, 3, 4 …. +2 +3 Test it out using the and keys on your TI-15 Explorer™ calculator Addition and Subtraction 1, 2, 3, 4 …. +5 –2 What about subtracting and adding? Multiplication 1, 2, 3, 4 …. x2 x5 Could I replace two function machines with one machine? What single machine could replace the two machines? Multiplication and Division 1, 2, 3, 4 …. x 10 ÷ 2 What happens when you join two division function machines? Prime Numbers 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120