Fwd: Fun Math club write-up 7 year olds; easy to pose, hard to solve PUZZLE

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Maria Droujkova

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Dec 6, 2010, 7:08:05 AM12/6/10
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Hello,

We don't have clubs in December, but I am stretching the stories parents who take notes sent earlier a bit. Maria, thank you very much for the story!!!
Here is a question to everybody! It's a hard problem!

"Odd one out" set is a collection of four objects or pictures where you find one that does not belong. They come from Tom O'Brien books you can find here: http://mathplace.net/books.html You can download sample pages.

Some sets have no odd ones out, when all four pieces are identical. Some sets have one object that is odd one out, and so on. It is easy to make sets with 0, 1 and 4 odd ones out. It's trickier but doable to make a set with 2.

CAN YOU MAKE A SET WITH THREE ODD ONES OUT?

In other words, with only one object that is NOT odd one out?

When we got more into the problem, we realized what makes an odd one out depends on the rules you use. So, describe your rules when you send solutions. You can send pictures as attachments to the group, or links to your pictures online.

Cheers,
Maria Droujkova

Make math your own, to make your own math.

 


---------- Forwarded message ----------
From: Maria Meadows




Last Thursday (10/11), Maria started us off with the Tom O’Brien book “The Odd One Out”. The kids darted off to seat in front to the screen. They loved the challenge of finding the different pattern and also discussing about it. They had different point of views and they listened to each other, until they finally agreed upon one, or two.

 

After a few more patterns, Maria asked us to make our own odd one out patterns, so that each one in the set of four is the odd one out. After we were done we started discussing each other’s work.

 

After a while Maria invites us all to go to the kitchen table for some ‘blood orange math’. She asks the kids how many pieces and how many skins will there be if she cuts the orange once … I can hear the gears of the kids’ brains rumbling and turning and mine too of course. Answers start flowing … 2 pieces, 4, 5. Maria proceeds to cut the orange, she started cutting a square on the surface of the orange, trying to cut through it, no, it didn’t work the first time and after several attempts and 2 more oranges and a change of knife she finally was able to get a good orange prism, but finally we got to see the actual answer, she got 2 pieces of orange and 3 skins, oh! Tricky!  J . The way it works is that you have to count the skins at both ends of the orange prism cutout and the big piece of orange … very interesting and quite fun.

 

Then using the orange and orange cutout Maria kept the imagination scene, and asked the kids how many pieces there would be and how many skins if they wanted to divide it among them. One said 8 skins other ones said 4, 6, and another one said 8. I told to myself 9 skins. Then Maria proceeded to cut the orange cutout and the answer was 5 pieces and 9 skins. What a way to make work our brains! Funtastic.

 

Finally, after eating so many pieces of oranges, Maria asked us to make sets of patterns where one of them was NOT the odd one out … I’m still working on it, can’t find a way … I hope someone comes up with an answer.

 

Another great session yet!

 

Thanks Maria.

 

Maria M.





Joseph Hinton

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Dec 6, 2010, 9:48:18 AM12/6/10
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Maria,

How are you?  Mallory has missed the math group.  She recently asked me if the classes would start back up after the first of the year.  Have you even had time to think about the math/art class for the spring?  She is still interested if there are enough kids to restart the class.

Thanks,

Sally



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