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Stay the Same Numbers

In this activity, we investigate the concept of "stay the same" numbers using a function machine. We begin with the input of 6, recognizing it as a "stay the same number" in the machine. Our goal is to find stay the same numbers for different machines defined by the functions: (a) x3, (b) x4, and (c) x5. Students are encouraged to generalize their findings and explore variations by changing the functions within the machine, such as 6 x 5 - 24 and 6 - 4 x 3. What patterns emerge, and how can the results be extended and generalized?

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Stay the Same Numbers

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  1. Stay the Same Numbers Look what happens when 6 is put into this function machine We call 6 a “Stay the same number for this machine Find stay the same numbers for different number machines which begin: • (a) x 3 (b) x 4 (c) x 5 can you generalize your results? Explore what happens if you change the functions in the box to: Extend and generalise your results 6 x 5 - 24 6 - 4 x 3 6

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