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We mentioned earlier that moving from arithmetic to algebra involves a focus on operations rather than numbers. Think about an operation like addition. What do you see when you think about addition? Don't think of an addition problem like 4 + 5, but just plain addition with no numbers -- focus on the operation rather than on the numbers themselves.
Next, go through the descriptions of input/output machines. After looking at the first example, be creative in coming up with drawings of machines.
Groups: Share drawings with the whole group.
Some machines add the same thing each time. Machines like this can be connected together, so that the output hopper from one machine goes right into the input hopper on the next machine. The two connected machines are really a single function that takes an input, runs it through the network inside, and produces an output. Read through the next written description of an algorithm and go through the exercises.
The two connected machines are really a single function that takes an input, runs it through the network inside, and produces an output.
Read through the next written description of an algorithm and go through the exercises.
Groups: Answer Problems C1-C11 in pairs or small groups.
<< back to Part C: Function Machines
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