Victoria just uploaded a ton of pictures from last August (when she visited Tiffany’s gang in Nebraska solo) to my Flickr account so I just saw this picture for the first time. I’m so used to my girl with her hair long and messy that I had to share it!

She rocks a bun, don’t you think?! And Jessie looks adorable in this photo too! 🙂

In other news….

Victoria has started a book section on her blog where she recommends (or not) books she’s read. You can check it out here. It’s a work in progress and she’s still filling in and adding on. Also check out her main page, since she’s added more pictures and loves visitors!

You might also notice all the numbers. Daryl taught her binary in the car the other day and she loves it. She translated the words on her blog into binary (by the alphabet, so a=1, b=2 and so on).

For those who don’t know (I didn’t!), binary is basically just a code/language based on zeroes and ones and doubles. Instead of being base ten (like our numbers), it’s base two. Each place is a multiple of two, not ten.

So binary to this place 00000 would represent the numbers 32, 16, 8, 4, 2, 1. (One is first, doubled is two, doubled is four…). You write 0 or 1 based on whether that number is part of the number.

Examples–

4 would be represented 000100 (one four, none of the rest).

19 would be 010011 (16+2+1)

We figured out all sorts of fascinating things about binary and doubling by playing with it. For instance, all doubled numbers (with any number as a place value) are always equal to one base value less than whatever the next biggest digit is. I know, clear as mud. 🙂

See:

32 = 100000 (32+0) so 31 = 011111 (16+3+4+2+1) (one less than the zero to the left of all those ones) (or all the doubled numbers to the right of any number will add up to one less base number than that number)

16 = 010000 so 15 = 001111 (8+4+2+1) (again, one less than the next zero place value to the left)

So then we figured out that whenever you add all the doubles of any number, it equals one less than the original double.

See… Make it place values of 5 — 40, 20, 10, 5 and adding all the numbers to the left of the 40 add to one less (in this case 35, which is 5 less than 40, or if you figured 20 and added the ones after it they’re 5 less than that…). Add all the numbers to the right of one of them and it will always equal one place value less than whatever your place value is.

You can see why I’m not a math teacher. 🙂 I’m actually embarrassed to put this up because I did such a poor job and probably screwed so much up! But anyway, play with it, google it, find a better teacher and show the kids. It’s actually really fun — and anything that makes kids have fun with math and numbers is a good thing in my book.

Just yesterday at my math co-op I was showing patterns like that. We found out that multiples have a pattern. 2’s are even, 3’s are odd/even, 4’s are even, 5’s are odd/even, etc. (like 5,10,15,20, etc.) There were also patterns in the first 50 numbers of Pi, not many, but they were there. Patterns in the right triangle theory, patterns of numbers on the playground, it was cool.

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