Okay, so today in math class, we went to the computer lab. First, we went over our homework from yesterday. I think some of us had a hard time with finding a fraction for a repeated decimal number with 3 numbers after the decimal. So here is the rule:

For this rule, you always want to multiply out all the repeating. So 0.2 repeated has to be multiplied by 10 to move the decimal down 1 place value. 0.43 repeated has to be multiplied by 100 to move the decimal down 2 place values, and 0.172 repeated has to be multiplied by 1000 to move the decimal down 3 place values.

x = o.2 (repeated)

10x = 2.2

9x/9 = 2/9

x = 2/9

x = 0.43 (repeated)

100x = 43.43

99x/99 = 43/99

x = 43/99

x = 0.172 (repeated)

1000x = 172.172

999x/999 = 172/999

x = 172/999

After that stuff, the people who needed help with the chessboard question went to the hallway with Mr. Backe so he could explain it to us. Here, I will explain and show you how to start the chessboard question.

1. A chessboard is a large square and is made up of 64 small squares. Consider only the

**first three rows**of the chessboard.

a) Find the

**diagonals**of all squares and rectangles possible in the first three rows. Arrange the squares and rectangles, from

**least to greatest**,

**by**.

*length*of their diagonalsSo first, we look at the first square on the chessboard:

Figure 1.0

So, to find the diagonal for square number one, we have to use the a

^{2}+b

^{2}= c

^{2}formula. For the square, the dimensions are 1 by 1.

This is how you find the diagonal for square number one:

a

^{2}+b

^{2}= c

^{2}

1

^{2}+1

^{2}= c

^{2}

1+1 = c

^{2}

1.414 = c

Now, I'll show how to do the second part:

Figure 1.1

For the second square, we use the exact same formula, but the number change. B changes into 2 because the sides, which are all equal, are 1. And so, 1 side + 1 side = 2 sides. Or, to make easier 1+1=2!:

a

^{2}+b

^{2}= c

^{2}

1

^{2}+2

^{2}= c

^{2}

1+4 = c

^{2}

2.236 = c

Then, we have to do the rest of row number 1, which is the same procedure. When you go up one square, the b changes because the number of bottom sides are adding up. The a stays the same, and the hypotenuse grows larger. (I'm not sure if I made sense there..)

Figure 1.2

(sorry if the image is blurry!)

The second row has the same procedure except for the first diagonal because we already figured it out in row 1! (refer to Figure 1.1)

Figure 1.3

The third row ALSO has the same procedure except for the first diagonal because, like the second row, we already figured the first diagonal for the third row in row 1 (refer to Figure 1.1)

Figure 1.4

For the rest of the class, we went on mathlinks9.ca and shodor.org. In Mathlinks9.ca, we checked out some websites under student center; chapter 2; weblinks. Also, Mr. Backe told us to read a bit about Neil Barlett. On shodor.org, we did some games on fractions.

HOMEWORK:

-play some fraction games on shodor.org

-fill in math journal

Thanks for reading! If there's anything on here that doesn't make sense, or seems wrong, please comment and I'll try my best to correct my mistakes! Okay everyone, have a good evening!

The next scribe I choose for tomorrow is.. Nicky!

## 17 comments:

YAY ! FIRST COMMENT! Good job Abby! Very good use of pictures and colours (:

Niice Job ABBY!!!!Makes so much sence!lol.I like the use of colours..

Yay I'm the next scribe! Ahem, great scribe Abby. However, I must now perform the first "Nicky Comment" of the year (you'll know what I mean after). Now, as I said, your scribe was very well done, still, even greatness can be improved. So, firstly, you might want to make the link to the mathlinks site an exact link to the page with the websites on it (more for convenience than anything). Also, you might want to explain just what happens to the decimals when you multiply them (what number they become). Other than those minor things you could add your scribe was very well done. Keep it up! :)

Good Job Abby!!! You explained how to do the chessboard question really well. I also, really liked your use of pictures. And as Nicky said, Keep up the good work! :D

Great job Abby! I like all of your pictures! You explained the checker board really well but when you said that you had to find the length of the diagnols, your not supposed to repeat the first diagonal in the second and third rows because you already did it in the first row. But that wasn't much of a mistake, I just wanted to point that out. Anyways your explinations and pictures were great. And great use of colour too! Everything else was perfect! Excellent work!

Good job Abby! I like how you used pictures. You also explained What Mr.B thought us.

Great Job! You did a really good job explaining the homework, and the checker question. Your pictures were very clear and well done! Again, GREAT JOB (:

Wow for a class that was spent mostly on computers you really did a great job!!

Wait, I mean chessboard, my bad!

Great job Abbey! I really like how you used pictures and colors to help explain things. I agree with Niky about posting the site, but your explainations were really great! :)

Hey guys! Your guys` suggestions really helped me make my scribe post better! I really appreciate that! THANKS~! ;D

Great scribe Abby! Good pictures, and very detailed information. The pictures really helped! Great job again! :D

Hi there Abby! First of all, GREAT JOB! And secondly, I just want to say that I really liked your use of colour and that your explanations were thorough and concise. It really helps us all to understand what we're learning. Once again, great job!

Nice work Abby! Your pictures were big and you used colour, so that's good! But remember what Mr. Backe said, you don't move the DECIMAL down one unit! You move the numbers up a PLACE VALUE. That's the only thing that I noticed, other than that, great job!

heeey abby. this post... is just woow. mr b is right. we had like a complete computer class and you came up with so many things. i like your use of colors and your picture. you are very detailed and that's a very good thing. nicky practically said everything and now you know what a "nicky comment". anywho, you did awesome and keep up the good work. (:

ABBY, oh my goodness that was nice. haha

remember what Kara said, because i don't think he wants us to put that. Nonetheless, everything was exactly as it should be. The diagrams were there, the explanations were there, the scribe was fantastic. GOOD JOB ABBY!

WOW GUYS! I didn't expect that much comments! But yeah.. there's like 16 comments! Thanks you guys for commenting! And thanks for pointing out my mistakes so I can fix them! ;D

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