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Image calculator with only two keys: a +1 key and a ×3 key. When pressed, these keys immediately do what they say. For example, if the calculator displays the number 20 and we press the +1 key, the calculator will add one and automatically show 21 on its display. If we then press ×3 , the calculator will automatically update to show 63.
Assume this calculator starts with 0 on its display. What is the smallest number of key-presses needed to make the display show the target number 300? |
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Follow-up ChallengesIf the same calculator starts with 0 on its display, what numbers can be reached using exactly 4 key-presses? Is there any pattern among these numbers?
Explore Marissa's idea about the relationship between this question and the base 3 number system. How would we apply Jameson's approach if the goal was to have the calculator show the number 2000 in the end? What do you think about this approach? Does it always give us the minimum number of button presses? Why or why not? What advice would you give to Brett? What advice would you give to Ginny? Explore the same questions as in the original challenge, but change the buttons on the calculator! What if we have a calculator with only a +1 key and a ×2 key? What about a calculator with only +2 key and a ×3 key? |
Response VideosMarissa's video response
Maddie & Taylor's video response
Sara & Andrea's video response
Brett's video response
Ginny's video response
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