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Leonhard’s Block Puzzles

Leon’s wooden block puzzle Leonhard Jones is Alexandria Jones’s younger brother. He enjoys woodworking, and he cut a wooden cube into 8 smaller blocks to make himself a puzzle.

Puzzle

Leon painted the 8 blocks with his two favorite colors: red and forest green. When he was finished, Leon could put the blocks together into a red cube, or he could switch them around to make a green cube.

How did Leon paint his blocks?

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More Free Math and Logic Resources

File library
Photo by Drab Makyo.

I have a huge, long-neglected bookmarks folder labeled “To add to resource page.” I am never going to find time to sort and review all of those links. But if I post a few at random now and then, perhaps you will find something useful.

So here are five new links I am adding to my Free (mostly) math resources on the Internet page.

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Happy Pi Day II

[Feature photo above by pauladamsmith.]

Now there is an ancient Greek letter,
And I think no other is better.
It isn’t too tall,
It might look very small,
But its digits, they go on forever.

— Scott
Mrs. Mitchell’s Virtual School

Time to Celebrate

Are your students doing anything special for \pi Day? After two months with no significant break, we are going stir crazy. We need a day off — and what better way could we spend it than to play math all afternoon?

If you need ideas, here are some great \pi pages:

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Quotations XX: How Old Was Erdös?

Math blackboard
Photo by foundphotoslj.

Here are a few mathematical gems from my co-op class blackboard:

I must study politics and war that my sons may have liberty to study mathematics and philosophy.

John Adams

When I was a child, the Earth was said to be two billion years old. Now scientists say it’s four and a half billion. So that makes me two and a half billion.

Paul Erdös

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February Update: Blog Evolution Meme

funny pictures

This picture is my all-time favorite LolCat, because it is so true to life. Every time I sit down to read a book or grade homework, one of our kittens plops herself on top of it and starts chewing the corners.

Blog Evolution Meme

Jonathan tagged me for the blog evolution meme, in which one chooses five posts that represent the development of one’s blog. Hmmm…

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Egyptian Fractions: The Answer Sheet

Remember the Math Adventurer’s Rule: Figure it out for yourself! Whenever I give a problem in an Alexandria Jones story, I will try to post the answer (relatively) soon afterward. But don’t peek! If I tell you the answer, you miss out on the fun of solving the puzzle. So if you haven’t worked these problems yet, go back to the original post. Figure them out for yourself — and then check the answers just to prove that you got them right.


The Secret of Egyptian Fractions

Alex made a poster of Egyptian-style fractions, from 1/2 to 9/10. Many of the fractions were easy. She knew that…

\frac{5}{10}  = \frac{4}{8}  = \frac{3}{6}  = \frac{2}{4}  = \frac{1}{2}

Therefore, as soon as she figured out one fraction, she had the answer to all of its equivalents.

She had the most trouble with the 7ths and 9ths. She tried converting these to other fractions that were easier to work with. For example, 28 has more factors than 7, making 28ths easier to break up into other fractions with one in the numerator.

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Math Links for Fun and Charity

Numbers
Photo by James Cridland.

Aargh! My computer died again. So I borrowed my daughter’s laptop and ran off to the coffee shop to write blog articles — and discovered that all the outlets on the wall here are fake. Why would they do that? Anyway, before the laptop battery dies, I want to share a couple of math links with you…

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