single function machine
Post on 31-Dec-2015
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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
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 ….
What is happening to the numbers?
2, 4, 6, 8 …
These numbers are fed into the machine
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
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
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 ….
Test it out using the and keys on your TI-15 Explorer™ calculator
+ 2
+ 3
Addition and Subtraction
1, 2, 3, 4 ….
What about subtracting and adding?
+ 5
– 2
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
Multiplication and Division
1, 2, 3, 4 ….
What happens when you join two division function machines?
x 10
÷ 2
Prime Numbers2 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
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