Collecting Data (3/27/09) session: Here are the steps for the
Jinx puzzle.
For a more Web 2.0 experience access the on-line jinx calculator. Enter any number in cell B1. Did you get 13 in cell B8? If so that means your number jinxed you. You got 13 - the unlucky number! Can you find a number that will make the puzzle not end in 13? (Try numbers like: 2.5, -56, 3000, 999999999, .000005) Do you think it is possible? Can you try an irrational
number
like Pi? What's the problem with that? Let's try a different way
to
answer the question. Start with the puzzle again. Only this time we
will use bags and marbles. Step 1: Pick a number. Instead of picking a specific number, let’s choose to use something that could represent any number. Let’s use a bag. ![]() The bag can contain any number you pick. Step 2: Add 11 ![]() To show 11 we will use 11 small circles or “marbles”. Now we have a bag and 11 “marbles” Step 3: Multiply by 6 ![]() We have 6 bags and 66 marbles. Step 4: subtract 3 ![]() Now we have 6 bags and 63 marbles. Step 5. Divide by 3 ![]() 2 bags and 21 marbles. Step 6. Add 5 ![]() 2 bags and 26 marbles Step 7. Divide by 2 ![]() ![]() 1 bag and 13 marbles Step 8: Subtract the number you picked in step 1. ![]() But that’s the bag. You subtracted the bag! So you are left with 13 marbles or just plain 13. To see a dynamic version of this proof go to http://www.ciese.org/math/activities/jinx/ For a similar demonstration using X click here. |