Math Blog 816 (2008)

Scribe Post for May 20, 2010

2010-05-20T18:46:00.008-05:00

Hello there, 9-05! Today we started on Chapter 10 which is Circle Geometry. We went straight to 10.1 and started learning or reviewing about circles since I'm sure most of us know something about circles. Chapter 10.1 is about Exploring Angles in a Circle. For this class, we spent our time taking down notes and Mr. B taught us how to find angles.

Circumference - The boundary of or distance around a circle.
Diameter - The distance across a circle through its centre.
Radius - A line segment joining the centre of a circle to the outside edge.

The angles ABC is called a Central Angle.
Central Angle - An angle form by two radii of a circle.
The straight yellow line from A to C is called a chord.
Chord - A line segment joining two points on the circumference of a circle.

Angles ADC and AEC are examples of Subtended Angles.
Subtended Angle: Lying opposite to.
Inscribed Subtended Angle: is equal to half the central triangle.

How do you find the measurement from B to C? Use Pythagoras!
First of all, why do we use Pythagoras? We can use Pythagoras method as long as there is a right triangle to find out the missing side length. Do you see the right triangle? If you flip it over or turn your head upside down, you will be able to see a right triangle. So, the angles AC will be represented as the hypotenuse which is c. And let's say that AB represents a and BC represents b.
a^2+b^2 = c^2
6^2+b^2 = 10^2
36+b^2 = 100
b^2 = 100-36
b^2 = 64
Square root b^2 = Square root 64
b = 8
The missing measurement of the line B to C is 8 cm.

Homework:
Chapter 10 Warm-Up #1
10.1 Textbook
-Practice, all odd
-Apply, all even
-Extend and any 2
10.1 Workbook
10.1 Worksheets

Well, that is all for now folks! (: I hope you enjoyed my post! Keep working hard 9-05! For exams are coming soon and we only got about a month of school left! The next scribe is KIM (:
Okay tootles!

2009-06-10T16:19:00.003-05:00

My video was made on animal cruelty. I did the project with Jessica and Katlyn. It shows what animal cruelty is and the easy steps that you can do to help stop it. Enjoy! :)

For additional information check out these websites:

http://www.hsus.org/acf/cruelty/
http://www.youthnoise.com/page.php?page_id=2583

percents :]

2009-05-31T23:24:00.004-05:00

So here are my percent questions that Harbeck is making us do.. OUR LAST POST IN GRADE 8!

Anyways so here they are. Enjoy! :]

Sorry.. im super lazy and super tired so im not going to do it all fancy smancy. :]

1)
245% of 356.80$

356.80$/ 100 = 3.568

3.568 x 245 = 874.16

2)
68 3/4% (68.75) of 730

730 / 100 = 7.3

7.3 x 68.75 = 501.875

3)
360% of $129.95

129.95 / 100 = 1.2295

1.2295 x 360 = 467.82

4)
63% of $345 0000

345000 / 100 = 3.45

3.45 x 63 = $ 217.35

5)
182% of 1700

1700 / 100 = 17

17 x 182 = 3094

ALL DONE!

Charissa's Percent Post

2009-05-31T21:30:00.009-05:00

Percents Homework Assignment

2009-05-31T20:32:00.004-05:00

This post is about finding the percentage of a certain number. On Friday Mr.H assigned a whole page of questions and problems that were to be due on Monday, June 1st, which is tommorow.. but he gave us a deal that if we made a post of the home work, then we don't have to do all 9 questions but only five. For this post I made a slide show because I think it's the most easiest to make, so.. ENJOY!

Percents Homework Assignment

2009-05-31T14:12:00.007-05:00

Eunice Cadao
8-16

Hello! On Friday Mr. Harbeck assigned us a math homework, which is to be our last blog post. He gave us an option. We could do all of the questions or do only 2 questions and number 4.

Part A
1) 245% of $356.80

2) 68 3/4% of 730

3) 360% of $129.95

Question 6:
Table salt is a chemiccal compound of sodium and chlorine. Recommended daily intake is about 1700 mg. If Canadians consume 182% of this amount on average, how much sodium is one person eating.

Question 8:
The Nile River is about 209% of the length of the Yukon River. If the Yukon River is 3168 km, how long is the Nile River (to the nearest km) Show your work.

Percent Post

2009-05-30T22:30:00.006-05:00

Percent. It's an ugly word with an uglier place in mathematics. Here are some examples.

Let's say you're working at an office. Normally, the people in the office are okay (except that creepy, rat-like weirdo who chews on your pencils) and your boss is pretty mellow. Now, one day, your boss is feeling a bit hung over from the previous night (his wife left him). So now, feeling pretty crappy and bitter, he decides to take his pent up anger out on you. So, when you don't expect it, he takes the coffee pot and dumps the scalding contents on your head. Realising what he's done, he quickly reacts and decides to increase your pay check as compensation. By 245%.

Now here's the question:

What is 245% of $356.80 (your original paycheck)?

To find this, you merely find 2x (200%) your paycheck, add half the amount of your original pay and subtract 5%.

Doing the first step is easy, just multiply you check x2.

So, 200% of %356.80 is... $713.60!

When we add half of your original amount, which is 178.40, you get $892.

Now, when we subtract 5%... you get $847.4.

You may not be able to build that hi-tech home entertainment system, but at least you can make rent this month. Not too bad.

Here's another example in the form of a word problem.

Let's say you quit your old job and are in need of some money. You only have $129.95 and are pretty desperate. One night at a bar, you make a bet with your friend: You bet the last of your money that you can consume more shots than he can. If you do you get X% of your money. X being the number of shots you drank times 1o.

Twenty minutes later, you and your friend are neck in neck. Your drinking buddy suddenly doesn't feel so good. And a few seconds later, he pukes. You have officially drank him under the table and you have consumed 36 shots. You get 360% of your original $129.95.

How much did you receive?

To find the answer, you have to find your amount of money times 3, then add 3/5 of the original amount to the result.

I'll show you. First to find the 300%. That's simply 3x the $129.95.

129.95 x 3 = $389.85

Now that we have the 300, we need to figure out the 60. The 60 is equal to 3/5 of 129.95.

We can also achieve 60 by subtracting 40%.

So, 129.95 - 40% = $77.97

Now, just add the two together and you get $467.82.

Okay, here's your next question. After your buddy has waken up from his alcohol-induced state you both go home. When you get back to your apartment, you do what you always do: log on to your laptop. Tonight, you decide to play an MMORPG with friends. You are a half-orc barbarian, 18 STR, 16 DEF, 2 CHAR, etc. (To those who can't understand what these mean, LEARN TO PLAY NOOBS.)

Anyway, your walking through a forest, your boots cracking the twigs with every step. You then see something out of the corner of your eye. You turn and find a glowing flower on the side of the path. While going over to inspect it, a fairy suddenly pops out. It's holding a large sword. It offers it to you in exchange for a certain percentage of your gold. You have 730 gold and the fairy demands 683/4 % of it. Do you accept the deal?

Okay, first you have to find out what 60% of 730 is, what 8% of it is and what 3/4 of a percent it is.

First, the 60. That's easy, 730 - 40% = 438

Now for the 8. 730 - 92% = 58.4

Finally, the 3/4. To find this, you need to find 1%, divide it by 4, and multiply the product by 3.

730 - 99% = 7.3

7.3 / 4 = 1.825

1.825 x 3 = 5.475

Add your three results together (5.475, 58.4, 438) you get 501.875 gold.

You decide to give him most of your hard earned gold and in return you get a High Quality Long Sword. Now you can kill those annoying goblins.

Now after you completely pwn'd that goblin hoarde and ultimately got beaten out at 2 am by the blue screen of death. You then, reluctantly go to sleep.

1 pm. You are abruptly awakened by the buzzing sound of your alarm. You shut it off and then realize what time it is. Then you realize where you're supposed to be. You quickly burst out of bed, run into the door in your confused state and then get dressed. You then, get yourself to the balcony and slide down the fire escape into your car. You speed your way to the arena. You almost forgot the hockey game you were supposed to go to.

Second period. Half time. You just saw the Toronto Maple Leafs score their third goal against the New Jersey Devils. Now it's time for the half time contest. The announcer goess to the ice and calls out the following position. He says Section A, Row 2, Seat 12. Your seat. You quickly get out and onto the ice. The announcer asks you the following question:

"This arena seats 4900 people. Tonight, only 63% of the arena is filled. How many people are seated in the arena?"

There is an easy way to solve this. There are 4900 people in this arena. Divide the 4900 into 49 100's. Or, 49 wholes. Out of that 100, 63 of the seats are taken. Multiply that 63 by 49 and you get 3087.

After this mental math you quickly answer 3087. The announcer says you are completely right.

Congradulations! You have just won tickets to the Stanley Cup Finals!

On your way home from the game, with your newly claimed prize, you find your friend Miguel. He looks pretty freaked out. He says he just bought a Maxima for $4700. Now, here's the trouble. Miguel completely failed his math when it came to percents. The dealer said he had to pay a down of 19 1/2 percent of the total $4700. Can you help him?

This problem can be solved the same way as the last one. Just divide the 4700 into 47 groups of 100. Then subtract 19 1/2 from each group. That is equal to 19 1/2 x 47. 19.5 x 47 = 916.5

Miguel has to pay $916.50 to get his Maxima.

Francis 2 minutes to make a difference on WORLD HUNGER

2009-05-26T20:55:00.003-05:00

Me, Jay and Marc did a movie explaining how terrible it is to be involve in World Hunger. This video tells you different things that Hunger already did to us and how YOU could help stop it.
Watch it with feeling and see how bad it can do to us.

WORLD HUNGER

Many organization are helping fight this.

CAN YOU?

UofR Regina, Sk.

2009-05-24T22:17:00.000-05:00

Hi everyone,
I am Tiffany, a fourth year university student at the University of Regina. I am studying to be a Math and Science teacher, so when I finish up at university in two years I will be looking for my own classroom to teach Math in. I am excited to check out your blogs and read about what you are learning and also to see how math makes it onto the internet with your help. To be honest, I have never heard of a math blog before, because when I was in Grade 8 there wasn't such a thing. But I think it is a great idea! Well, I think this tells a little bit about me and where I am at in my education. Looking forward to seeing your work! Cheers.

Trent 2 minutesto make a difference

2009-05-21T07:10:00.003-05:00

Me Brendyn and Zack decided to make our video about poverty and what it does to people. Also some ways we can put an end to it once and for all because...
none deserves to live like they do.

Animal Abuse 2 Minuites to Make a Difference

2009-05-20T21:51:00.004-05:00

Charissa, Katlyn and I made our video about animal abuse. It explains a few different kinds of abuse, as well as how you can help stop animal abuse.

Countless numbers of animals are killed each year because of animal cruelty..
Animal cruelty needs to be stopped.

If you want to learn more about animal cruelty, go to these sites:
http://www.hsus.org/acf/cruelty/
http://www.elmorehumane.com/Animal%20Abuse%20Info.htm
http://www.geocities.com/paws_n_tails/AnimalTestingFacts.html
(Just so you know ahead of time, some of the pictures in these sites are graphic.)

Christian's 2 minutes to make a difference

2009-05-20T20:17:00.002-05:00

Well my group, The Pocket full of Awesomeness, decided we should do our video about air pollution. Air pollution is a big topic, we had a lot of information, good pictures and an appropriate music. The video has imformation like what and who caused it? and like what can one person do to help make a difference or even just help prevent it from happening.

Melissa's 2 Minutes to Make a Difference

2009-05-20T19:15:00.003-05:00

For my groups 2 minutes to make a difference project, we did our project on air pollution. In this video, there will be information about how air pollution is caused, who and what does it affect, and how we can help to save the earth.

Marc's 2 Minutes to Make a Difference

2009-05-20T18:04:00.004-05:00

For the 2 Minutes to Make a Difference project, our main topic was World Hunger. This video is about how many people die of everyday hunger, and many of those people are just children. This video includes many interesting facts about world hunger, which part of the world is most likely to be suffering from world hunger, and what we can do about it.

Abby's 2 Minutes To Make A Difference

2009-05-20T16:38:00.002-05:00

The topic my group and I chose for the 2 Minutes to Make a Difference project was air pollution. The video here is about, of course, air pollution. Included in the video is some facts about how air pollution affects the health, what it does to our earth, and how to prevent air pollution.

child labour: 2 minutes to make a difference

2009-05-19T23:56:00.007-05:00

Rayna, Samantha, Kelsey, Gennia... 8-16

Child labour is so cruel! No child deserves to have their child hood taken away for them and be forced to work crazy long hours, at crazy young ages. Child labour needs to stop and it starts with one!

Last Fraction Post

2009-05-13T15:16:00.000-05:00

Last Fraction Post

2009-05-12T23:09:00.003-05:00

This is my Last fraction Post. What the fraction post suppose to be about is explain what we learned about fractions. Like how to add, subtract, multiply and divide fractions.

I dont think im completely done. So sorry (: i tried my best.

Katlyn and Charissa's last fractions post!

2009-05-12T22:34:00.003-05:00

Hey sorry its late but we forgot to post it yesterday! So here it is..ENJOY!

Adding Fractions
Adding fractions is pretty easy, just follow these step and you'll be good to go!

Sorry its a link people but I don't know how to post google docs in blogger so, SORRY!

Last Fraction Blog Post

2009-05-12T18:52:00.010-05:00

Addition
Adding fractions is easy once you get the hang of it you can get subtraction as well. First you have to make all your fractions improper to start here is the first example.

So first you make the fractions improper but since these are proper fractions we have no need to. Next you have to find the common denominator ( which means the number both denominators go into.) Which in this case is 10. So you change both numerators to 10. Next you think what multiplied by 5 gives you 10 the answer is 2 so you multiply the numerator (2) by 2 which gives you your first fraction which is 4 over 10. Now do the same with the other fraction. What multiplied by 10 equals 10 hmm I'm pretty sure its 1 multiplied by 10 = 10 so you times the top number (3) by 1 which is 3 so the fraction is 3 over 10.

Now that you have your fractions you just add the numerators together.

So you answer is seven tenths! we always have to simplify but we don't have to now.

Hes exited for the next question are you!? Next addition question!

First we find the common denominator which in this case is 9 because 3 and 9 go into 9. so now we change both denominators to 9. We can keep the first fraction the same because it is being multiplied by 1 which makes that fraction 5 over 9 . but the other you need to think what time 3 is 9? 3 times 3 is 9 so you times the top number(1) by 3 which equals 3 so that fraction would be 3 over 9. Add the numerators together and you get your answer.
Subtraction
You do the same steps that you do in adding than you do in subtracting except instead of adding at the end you subtract. This example is a mixed fraction.

Im sorry im not done :(

.

Jay's Last Fraction Post

2009-05-12T00:15:00.001-05:00

Patrick's Last Fraction Post

2009-05-11T21:12:00.010-05:00

Hey Everyone! Last fraction post here and I'm gonna show you how to add, subtract, multiply and divide fractions! Let's start with adding!

Here's an example: 2/4 + 1/4
Since the denominators are the same, all you have to do is add the numerators together.
2 + 1 is 3 so... 3/4!

What if the denominators weren't the same?? :O! Well it's still easy! :) Just MAKE the denominators the same!
For example: 2/4 + 2/8
Now, how do you make the denominators of 4 and 8 the same? Divide 8 by 2! 8 divided by 2 is 4, which is the same as the other denominator. And whatever you do to one side, you do to the other. Now you have to divide the numerator by 2 'cuz you did it to the bottom. The numerator is 2 so 2 divided by 2 is 1. The fraction is 1/4!
2/4 + 1/4 = 3/4 ...hard? I think not!

Subtracting Fractions isn't very hard neither. I'll give you one example with the same denominators and another with different denominators.
Example 1: 4/10 - 2/10
Just subtract the numerators since denominators are the same. 4 - 2 = 2. 2/10 is the answer.

Example 2: 4/10 - 6/30
The denominators are 10 and 30. Divide 30 by 3 to equal 10, an equal denominator to 10! Whatever you do down there, you do up there, too. Divide 6 by 3 to get 2. The equation is 4/10 - 2/10 = 2/10

Multiplying Fractions gets a bit complicated, but not if you know what you're doing.
Example 1: 2/3 x 4/5
The first step is to multiply the numerators. 2 x 4 equals 8. Then multiply the denominators. 3 x 5 equals 15. Your fraction is 8/15! EEEEAASSYYY!!....if you know how to do it :)

Example 2: 2 1/2 x 1/2
Woah! That's hard, eh? NOT! Do you know what an improper fraction is? It's a fraction that has a greater numerator than denominator, meaning its total value is more than 1 whole. All you need to do is convert 2 1/2 into an improper fraction, then use the 2 steps from example 1! To convert a mixed number into an improper fraction, multiply your wholes (2) by your denominator (2) and then add it to your numerator (1). 2 x 2 = 4 + 1 =5. Then use the same denominator. 5/2 is the fraction so you're multiplying 5/2 by 1/2. Multiply Numerators (5 x 1 = 5) and denominators (2 x 2 = 4) to get the fraction 5/4. That's your answer!

Everything is easy so far, right? Well, how do you think dividing will be? EASY! I'll teach you on the way!
Example 1: 9/10 ÷ 3/4

The reciprocal is just a way to find the answer easier. The question is 9/10 ÷ 3/4. Take 3/4 and multiply it by its "opposite". 3/4 x 4/3 is 1 whole. Whatever you do down there, you do up there. Now you multiply 9/10 by 4/3 because you did it to the bottom fraction. Your answer is shown above. Just simplify the improper fraction into a mixed number.

Example 2: Mixed Numbers!
3 1/2 ÷ 7
First, convert your mixed number!
Whole x denominator + numerator...
3 x 2 = 6 + 1 = 7
7/2 is your fraction.
You also have to convert the 7. Let's use the denominator of 2! 7 x 2 is 14. 14/2 is 7 wholes!
7/2 ÷ 14/2 ...use the reciprocal now!

Dividing fractions isn't so bad...

Now let's get to word problems :)

#1: It takes 2 1/4 scoops of flour to make one cake. How many cakes do 15 scoops make?
Let's draw pictures!

As you can see by the indicated colors, 15 scoops of flour can make 6 cakes and 2/3 of a cake.

#2:
One day in Winnipeg with 10 1/2 hours of daylight, it was sunny for 1/3 of that time. For how many hours was it sunny that day?
Convert 10 1/2 into improper to make it easier...
10 x denominator (2) + numerator (1).
10 x 2 = 20 + 1 = 21
21/2 is equal to 10 1/2.
We're trying to find 1/3, so just divide it by 3 if you can, and take 1 piece because you have 1 thirds.

3 1/2 hours of that sunlight were sunny on that day in Winnipeg, out of 10 1/2 hours.

Oh! Before I go, remember to always simplify your fractions if possible, and to always have simple sentence answers to any word problem! Cya guys later!!

Eunice's Last Fraction Post

2009-05-11T20:17:00.000-05:00

Gian's last fraction post

2009-05-11T20:01:00.055-05:00

Multiplying and Dividing Fractions

Question 1

Our first question is 2/3 multiplied by 9/10. First what we do is to multiply the numerators which is 2 and 9. So 2 x 9 equals to 18.

Now all that is left to do is to multiply the denominators. So 3 multiplied by 10 equals to 30.

Now the fraction we have is 18/30. So we simplify it and we get 3/5.

So our answer is 3/5 .

Question 2

Now we move on to dividing fractions. Our first Question is 1/4 divided by 3/4. When dividing fractions it always helps when using a ratio table.

Now we have to make it into a mixed fraction. First we have to figure out how many times does 4 go into 12 ? 3 , so 3 becomes the whole number. Since 4 goes into 12 perfectly and there are no left over 3 also becomes our numerator and the denominator stays the same.

Adding and Subtracting Fractions

Question 1

First what we do is look at the Denominators. Then we look at what the two Denominators both go into, then we multiply. 2 multiplied by 7 would give us the total of 14.

Now that we multiplied both our numerators. All that is left to do is add both second fractions that we got which was 7 over 14 and 4 over 14.

So all we did for the last step was add the numerators and kept the denominators the same, which gave us the total fraction of 11 over 14.

Question 2

First we look at the Denominators, then we figure out what they both go into so 3 times 10 equals 30. Now we make a set of fractions that could go into 30. Now we divide. We divide 3 into 30 and also divide how many times 10 goes into 30.

The last thing we do now is to take away from the numerator which is 10 and 9. So 10 take away 9 equals to one. Then we keep the denominators the same and we have a fraction of 1 over 30.

Word Problems

Question 1

Question 2

Question 3

Marc's Last Fraction Post

2009-05-11T19:03:00.011-05:00

Adding Fraction:

Well what I've learned about adding fractions from all the teaching Mr.H taught us, I actually found that adding fractions were simple. Just like 1 2 and 3

And just like I said...1

Perhaps the question was 5/9 + 1/3..
The first step would be to do cross multiplication...

Then....2

you then simply add the two numerators(15 and 9)

and the last step......3

To simplify your answer to the lowest terms, you find the number that is able to divide the numerator and denomerator and the number happens to be 3...

Subtraction is the exact same thing as adding fractions but at the second step you just subtract instead.

Now for adding when you have a mixed number is also very simple, if you think that adding fractions were difficult at this point you must be crazy.

Adding Mixed Fractions

Step 1:

Perhaps the question was....2 4/9 + 5 1/2
You just add the whole fractions together first (2 and 5) which will equal 7

now what would be left is 4/9 and 1/2, so now you do the procedure as if this question was like the very first one in this post.

Your answer should now be 17/18 and all you do now is put the two answers together which would become 7 17/18

Now here's a presentation for multiplying and dividing fractions....

This is the end of my final post for FRACTIONS

~THE END~

Brandon Last Fraction Post

2009-05-10T13:02:00.006-05:00

Fractions. One of the scariest things to deal with in math. One of my final posts will be about dealing with numerators and denominators via adding, subtracting, dividing and multiplying.

First, adding. Example: 2/3 + 1/8.

The first step is to find a common denominator between the two. In this case, it's 24. To find the common denominator, just multiply the two denominators by each other and there you go! Then, what ever you did to the bottom, you do to the top.

2/3 + 1/8 = ?????

The common denominator is 24!

3 x 8 = 24.

2/24

8 x 2 = 16

16/24 + ? = ?????

Now, do the same to the other fraction.

1/8 = ?/24

1/8 -> x3 -> 3/24

Now, with the fractions having the same denominators, you can add them no problem!

16/24 + 3/24 = 19/24

Now, you have another problem: Subtracting. A whole new can of crap. Just do the same thing you do to add: Find the common denominator and subtract. I'll show you.

2/3 - 5/12

Incidently, the common denominator between the two is 12.

So now, the question is

8/12 - 5/12 = 3/12

= 1/4

REMEMBER: DON'T FORGET TO SIMPLIFY!!!

"Well, how about mixed numbers???"

Fine, I'll show you how to add mixed numbers.

Take this: 10 1/2 + 6 3/4

First, let's try and turn them into improper fractions.

To do this, multiply the real number by the denominator and add whatever's on top.

So, 10 1/2 becomes 21/2 and 6 3/4 becomes 27/4.

Now, the equation is

21/2 + 27/4

Here, you can now do the same thing you would do as if it was a regular fraction.

21/2 + 27/4

21/2 x 2 = 42/4

42/4 + 27/4 = 69/4
= 17 1/4

Now, it's time to move on to another subject: multiplying.

Multiplying fractions. It's so easy a chimp could do it. Seriously. You just multiply the numerators by the numerators and the denominators by the denominators. THAT'S IT.

Let's try this example:

2/3 x 9/10

You just have to multiply the two numerators (2 x 9) and the two denominators (3 x 10)

As a result you get:

18/30

Simplified, it is 3/5.

What? Oh, you didn't get it the first time? You want me to do it again? FINE. BUT JUST ONE MORE TIME.

Here's your example:

3/4 x 4/5

Okay, now solve it.

...

Okay, okay, I'll do the work for you...

3/4 x 4/5

3 x 4 = 12

4 x 5 = 20

Therefore, the answer must be 12/20

Simplified, the answer is 3/5

Now, for a subject that will really make your head hurt: Dividing fractions.

To divide fractions, you have to think in 1 of 2 ways: First, you can try and think "How many groups of (second number) go into (first number)?"

Or you can think paint can vs. room. You have used so much of a paint can to paint so much of your room. This involves taking the easy way out and making a ratio table.

First, the first method.

I'm gonna make this REAL easy.

1 1/2 / 1/2

You just have to find how many groups of 1/2 go into 1 1/2.

SOLVE.

...

OKAY, I'LL SOLVE IT FOR YOU, BUT THIS IS THE LAST TIME.

1 1/2 / 1/2

YOU HAVE TO FIND HOW MANY GROUPS OF 1/2 GO INTO 1 1/2

To do this, you have to make the mixed number improper.

When you do, the number becomes 3/2.

It becomes THREE HALVES.

You have to find how many groups of ONE HALVE go into THREE HALVES.

If you didn't know, the answer is 3.

Okay, let's try this with another question and method.

3/4 / 1/3.

Let's try this with a ratio table this time.

3/4 1/3*
9/4 3/3 If we multiply by 3*, we can get a whole number.

As we all know, when you divide a number by 1 you get the number.

So the answer is 9/4 or 2 1/4

Abby's Last Fraction Post

2009-05-10T10:41:00.042-05:00

Adding and Subtracting Fractions

Question 1:

First of all, we have to look at the denominators and see what 4 and 8 both go into. We can do this by multiplying 4 by 8 which is 32. Maybe some people would choose to use 32 as the next denominator, but using 8 is much easier since 4 and 8 both go into 8.

Then, we make another set of fractions, but with the denominator of 8. First we look at the denominators. How many times does 4 have to be counted to go into 8? 2. How many times does 8 have to be counted to go to 8? 1.

What we do to the bottom, we do to the top. So since 4 was multiplied by 2, then the numerator (3) has to be multiplied by 2. And since 8 was multiplied by 1, then the numerator (1) has to be multiplied by one. 3 x 2? 6. 1 x 1? 1.

The last thing we have to do is subtract the numerators. So 6 take away one is 5. The denominator stays the same, so the overall answer is 5 over 8!

Question 2:

First of all, we have to look at the denominators and see what 2 and 7 both go into. So we multiply both of them to see what number they both fit in. 2 multiplied by 7 results as 14.

Then we make another set of fractions but with the denominator of 14. We look at the denominators first. What does 2 have to be multiplied by to get to 14? 7. What does 7 have to be multiplied by to get to 14? 2.

What we have to do to the bottom, we have to do to the top! So since 2 was multiplied by 7, the numerator (1) has to be multiplied by 7. And since 7 was multiplied by 2, the numerator (2) has to be multiplied by 2.. too!

So now we take away the old fractions, and use the new one! All we have to do is add the numerators together. 7 + 4 results as 11, and the denominator stays the same.

Question 3:

Now we are dealing with mixed fractions. First, we put the whole numbers 20 and 4 out of the way.

Now it looks like a normal subtraction fraction question. Now we have to find out what 3 and 10 both go into. So 3 X 10 = 30.

Then we make a set a fractions that have a denominator of 30. First, we look at the denominators. How many times does 3 have to be multiplied by to get to 30? 10. How many times does 10 have to be multiplied to get to 30?3.

Now, we have to multiply the top fraction numerators by the number that their denominators were multiplied by. So 1 multiplied by 10 is 10, and 3 multiplied by 3 is 9.

Then we take away the old fractions and use the new ones. We have to subtract numerator 9 from numerator 10.The answer to that is 1. And of course, we keep the denominator the same.

Then we bring back the whole numbers and we just use simple subtraction.

Now, we just combine the whole number 16 and the fraction 1 over 30. So the answer to question 3 is 16 and 1 thirtieths!

Multiplying Fractions

Question 1:

Now we are dealing with multiplying fractions. It's not that hard once you get it.

To answer a multiplying fraction question, all you have to do is multiply the numerator to the other, and the same goes to the denominators.

So 3 multiplied by 2 makes 6. 4 multiplied by 5 is 20. So that makes 6 over 20. Then we just simplify by finding a number 6 and 20 both go into, like 2. So 6 divided by 2 is 3, and 20 divided by 2 is 10.

Question 2:

Now we are going to start multiplying mixed fractions.

Since these fractions are mixed, we can turn them into improper fractions. We can do this by going denominator multiplied by whole number plus numerator.

Now with the improper fractions, the multiplication question looks like this.

Then we multiply 5 by 11, and 2 by 10. Which results as 55 twentieths.

We then simplify the improper fraction, then turn it back into a mixed fraction.

So then the answer to this mixed fraction multiplication question is 2 and 7 fourths!

Dividing Fractions

Question 1:

Now it's onto dividing fractions!

To divide fractions, we can use a ratio table to help us. The paint cans and the room labels are just there to help us.. Like we have 4 fifths of a paint can the filled up 2 sevenths of the room. What we're supposed to do in this ratio table is to make 2 sevenths into a whole number. So what we do first is divide the numerator by 2, so that makes 1 seventh. Then we multiply one by 7, which makes 7 sevenths, a whole number. If we did those on one side, we have to do it to the other. So divide the numerator by 2, so that makes 2 fifths.Then we multiply 2 by 7, which makes 14 fifths.

Then we change the 14 fifths into a mixed fraction. How many 5's are in 14? 2. So 2 becomes the whole number. How much do you have to add to 2 groups of 5 to get to 14? 4. So 4 becomes the numerator. The denominator stays the same as 5.

So the answer to this fraction division question is 2 and 4 fifths!

Question 2:

Here is a fraction division question with a mixed number and a whole number.

Then we turn 8 and 1 third into an improper fraction. We make the whole number 7 a fraction by making it a numerator and making the denominator 1.

So this is what the division question looks like now.

To help us with this question, we'll use something that's a fraction over fraction. 25 fifths is the numerator, and 7 over 1 is the denominator. To make 7 over 1 completely whole, we'll use something called a reciprocal. We multiply 7 over 1 by 1 over 7 which results as 1. Then we multiply 25 thirds by 1 over 7 which equals 25 over 21.

We then turn 25 over 21 into an improper fraction. 21 goes into 25 once, and we have to add 4 more to get to 25.

So the answer to this division question is 1 and 4 twenty-fifths!

Word Problem #2 :

Word Problem #3 :

Jessicas Fraction Post

2009-05-08T16:58:00.005-05:00

Francis LaSt BlOg PoSt

2009-05-08T14:30:00.029-05:00

Finally...... Fraction is over and I think I learned enough of what I need to learn for the exam....If you need some help, you can look at What I've learned if you still don't know how...

AdDiNg FrAcTiOn

Adding Fraction is easy if you know how to add numbers and things.

-The first thing you need to do is make the denominators of each fraction same equal pieces

-you do that by multiplying the denominators and whatever the answer is will be you equal pieces.

-After that you multiply the numerators by how you got the equal pieces answer by multiplying the (9xsomething) if you got the answe (36) then if you multiply the 9 by 4 then you multiply the 8 by 4 too, you do that with the other one too..

-if you got the numerators then add it.

If you want to check it, you check it with drawing it...

SuBtRaCtInG fRaCtIoN

-Subtracting is almost the same as Adding Fraction except that in the end you subtract the numerators and get the answer

-I'm not going to expalin it but you can tell by the picture....

Mixed numbers on ADDING

MuLtIpLyInG FrAcTiOn

Multiplying Fractions is just the same as Adding Fractions and Subtracting but the one that messes it up is the little multiplication sign on the middle

-Multiplying fractions are easy because all you do is multiply the denominators and the numerators.

9 2 18

- x - = -

10 3 30

All this means is that 9/10 groups of 2/3 is 18/30 simplified into 9/15.\

Mixed Fractions on Multiplying

DiViDiNg FrAcTiOnS

Dividing Fractions is easy if you know the word Reciprocal

Instead explaining it to you I can show it in pictures

WoRd PrObLeMs To SoLvE

do you like pie?

2009-05-07T14:32:00.002-05:00

How about now

Bobby's Last Fraction Post

2009-05-07T13:51:00.019-05:00

Okay, so uhm. fractions are over, YES!!
So, now here's my last post about fractions.
Enjoy!!

How to subtract fractions
Subtracting fractions is easy.
Here's the first question :

6/12 - 3/4=

First we need to find what 12 and 4 goes into. We could multiply each other, and we get 48. We could use 48 but just 12 is more easier. We multiply 12 by 1 and 4 by 3. Those both equals to twelve. Then whatever we used to multiply the denominator we multiply it with the numerator. So, we multiply 6 by 1 and 3 by 3. Now, it's like this : 6/12 - 9/12=
Now, we solve it: 15/12. Here we have an improper fractions, we could make this into a mixed number by dividing 15 with 12. so it's: 1 3/12.
Here is a picture of it:

How to Add fractions

I'm going to explain three questions.

Number one is:

2/3 + 1/8

What you do here is you find the quotient of 3 x 8.

Then whatever my answer that becomes my denominator.
In this case, it's 24. So, your denominator will be 24. /24 + /24.
Now, it's time to look for the numerator. I will multiply the number 8 by 2 because 2 is the number I multiplied it with the number eight to get the 24 I wanted for the denominator.
I will do the same thing on the other side but different numbers because i used a different number to multiply it by 8 to get 24. So, the number is 3, then I would multiply it by 1 and the quotient is 3.
All this becomes like this:
16/24 + 3/24
Since both denominators are the same, all I need to add is the numerator.
The answer is 19/24.
Here is a picture of the question.

The next question will be a mixed number, it will explain and show how to add mixed numbers.

1 2/3 + 1 1/4=

If it's a mixed number then just add the whole number. So, here it's 2__.
Then we just solve the fractions, so it looks like this: 2/3 + 1/4=
We multiply both denominators and we get 12. Now, the denominator is 12. We multiply 2 by 4 and 1 by 3, the answer now is 8/12 + 3/12=.
We get 11/12. We put the 2, 2 11/12.
Here is a bad picture of it :)

Multiplying Fractions

Fraction is very easy, you just multiply both numbers in the numerator and multiply the numbers in the denominators.
So here, it's 4 multiply by 1 equals 4. Then 6 multiply by 2 equals 12. So, it's 4/12. We could simply it down to 1/3.

Multiplying mixed numbers

2 2/6 x 1/12

If we have a mixed number in our questions all we have to do is make it a improper fractions. To do that, we multiply our whole number to the denominator then add the numerator. Then we just solve, 14 by 1 and 6 by 12. The fraction comes as an improper then we just divide it. Then we get 2 1/4.

How to divide fractions

To divide we just have to do the reciprocal.

It shows clearly on the picture.

MIXED FRACTIONS

To divide mixed fractions we just make the mixed fractions to an improper fractions. Then we do the reciprocal.
If the numerator is larger than the denominator, we just divide the 9 into 20

WORD PROBLEMS!!!!
Problem 1

Sentence:
15 scoops make ___ cake.
15 scoops make 6 2/3 cake.

Problem 2

It was sunny for ___ hours that day.

It was sunny for 3 1/2 hours that day.

Finally, I'm done.

To Borrow or to be Improper that is the Question

2009-05-05T13:31:00.006-05:00

This is another skills homework assignment. I'm that that great at borrowing, so sorry if there is any mistakes.

This is my first question : 3 1/4 - 1 1/2 = ?

To make life easy the first thing we should do is figure out and find the lowest common denominator.
3 1/4 1 1/2
3 1/4 1 2/4

You can't subtract 2/4 form 1/4. So you have to make 1/4 bigger by borrowing the whole or in
other words 4/4. But you can subtract 1 from 3.

3-1=2 4|4 + 1|4= 5/4 2 + 5/4 = 2 5/4

So why don't we start solving
2 5/4 - 1 2/4
2-1=1
5/4 - 2/4 = 3/4
1= 3/4 = 1 3/4

This is our next question : 50 1\10 - 25 4\5=

The first thing we should do is find the lowest common denominator .
1/10 4/5
1/10 8/10

50 1/10 - 25 8/10

Now you can take away 25 from 50, you have to make the 1/10 bigger by
borrowing 1 whole or another way to say it is 10/10.

50-1=49
1/10 + 10/10= 11/10
49 11/10 - 25 8/10
49 - 25 = 24
11/10 - 8/10 = 3/10
24 + 3/10 = 24 3/10

Now you are finished !!!!

2009-04-30T15:52:00.002-05:00

Question 6
a) 3 1/2 x 3 =
9/2 x 3/1 = 21/2 = 10 1/2
Kristi worked 10 1/2 houres.
b) 9/1 x 21/2 = 189/2 = 94 1/2
in one week Kristi earnd $94.50 dollors.

Question 7
7 x 2 2/5 =
7/1 x 12/5 = 84/5 = 16 4/5
In one week jupitor completes 16 4/5 rotations of Earth.

Question 8
8 1/2 x 1 1/3 =
17/2 x 1 1/3 =
4/1 x 17/3 =
2/1 x 17/3 = 34/3 = 11 1/5
The Boat will ravel 11 1/2 km in 1 1/2 houers.

Question 9
4/5 x 3 1/2 =
4/5 x 7/2 =
4/2 x 7/5 =
2/1 x 7/5 = 14/5 = 2 4/5
It will take you 2 4/5 houres to get to grandmas house at the same speed.

Question 10
3/5 x 5/1 =
3/1 x 5/5 = 15/5 = 3/1 = 3
It will take 3 Tanks of gas it get to work and back for 5 working days.

Question 11
2 1/4 x 8 =
9/4 x 32/4 =
9/4 x 8/1 = 72/4 = 18/1 = 18
Owen will be 18 when Robin celebrates her 8th birthday.

Question 12
3 1/4 x 3/4
13/4 3/4 = 39/16
It will take 39 houres.

2009-04-30T07:48:00.002-05:00

Sorry im last guys. Here it is!

P.S Charissa and i did our questions together but......CHARISSA HASNT POSTED HERS YET!

sorry .

Math Work - April 28, 2009

2009-04-29T22:49:00.002-05:00

9. The distance to Grandma's house is 4/5 of the distance to Uncle Glen's house. If Uncle Glen's house is 3 1/2 hours away, how long will it take to get to Grandma's house if you travel at the same speed?

It takes 13 hours to get to Grandma's house.

10. It takes 3/5 of a tank of gas to get to work and back each day. How much gas is used over 5 work days? Show your thinking.

It takes 3 litres of gas thats used in 5 days.

11. Owen is 2 1/4 times as old as Robin. When Robin celebrates his 8th brithday, how old will Owen be?

Owen would be 18 years old when Robin turn 8.

12. The karate club is arranging a grading for its member. It takes 3 1/4 hours to test a group of 4 candidates. How long will the club need the gym in order to process 3 groups of 4 candidates each?

The club will need 2 4/5 of the gym in order to process 3 groups of 4 candidates.

Multiplying integers (skills post)

2009-04-29T14:27:00.007-05:00

In skills we have to show how to multiply fractions

This is one way of doing it
(denominator x whole number + numerator)

for ex. 2 2/4 below is how you multiply it
(2 x 4) then add the numerator
(2 x 4 + 2)= 10

Here's another example
1 1/2
(1 x 2) then add the numerator
(1 x 2 + 1)= 3

April 29, 2009 Skills Post

2009-04-29T14:03:00.004-05:00

So yeah I have to talk about how to multiply fractions

One way is
(denominator x whole number + numerator)

for ex. 1 1/2 below is how you multiply it
(1 x 2) then add the numerator
(1 x 2 + 1)= 3

Now lets try another set of fractions

2 2/4
(2 x 4) then add the numerator
(2 x 4 + 2)= 10

Skills Post: Converting

2009-04-29T13:56:00.006-05:00

In skills class today, we learned that multiplying improper fractions are easier than multiplying mixed numbers.

Math Work- April 28

2009-04-29T08:08:00.004-05:00

Question 9-12

Sorry its late

#9
The distance to Grandma's house is 4/5 of the distance to Uncle Glen's house. If Uncle Glen's house is 3 1/2 hours away, how log will it take to get to grandma's house if you travel at the same speed?

This question is saying 4/5 x 3 1/2.
make the mixed number into a improper fraction.
3x2+1= 7
Denominator stays the same, the new fraction is 7/2 now you multiply.
7x4 and 5x2
the fraction should be 28/10
change it back to the mixed number which is now 2 8/10. Simplify into 2 4/5.

It takes 2 4/5 hours to get to grandma's house.

#10
It takes 3/5 of a tank of gas to get to work and back each day. How much gas is used over 5 work days? Show your thinking

3/5 x 5
3 x 5 is 15
denominator stays the same
15/5 simplify into 3

It takes 3L of gas to go to work for 5 days.

#11
Owen is 2 1/4 time as old as Robin. When Robin celebrates his 8th birthday, How old will Owen be?

change the mixed into the improper= 9/4
Multiply by 8... 9/4 x 8
9x8= 72 and the denominator stays the same
equals 72/4 simplify into 18

Owen will be 18 years old.

#12
The Karate club is arranging a grading for its members. It takes 3 1/4 hours to test a group of 4 candidates. How long will the club need the gym in order to process 3 groups of 4 candidates.

3 1/4 x 3
change into a improper = 13/4
multiply by 3.... 13/4 x 3
13 x 3 is 39
denominator stays the same
the fraction is now 39/4 simplify
the answer is 9 3/4

The Club will need 9 3/4 hours in the gym.

Multiplying fractions Homework

2009-04-29T08:06:00.005-05:00

One week, Kristi works 3 days for 3 1/2 hours each day. She makes $9 an hour.

A) How many hours did Kristi work in 1 week?

Hours in week = Days x Hours per day

HW = 3 x 3 1/2

3 x 3 1/2 =

3 x 3 = 9

3 x 1/2 = 1 1/2

Kristi worked 10 1/2 hours.

B) How much did she earn in one week?

Weekly$ = (wage x H) x 3

9 x 3 1/2

9 x 3 = 27

9 x 1/2 = 4 1/2

$31.50 x 3 = $92.50

In 1 week Kristi earned $92.50.

In one Earth day Jupiter completes 2 2/5 rotations. How many does it complete in one week?

1 day = 2 2/5 rotations

1 week = 1 day x 7

7 x 2 2/5 =

7 x 2 = 14

7 x 2/5 = 14/5

14/5 = 2 4/5

Answer 16 4/5.

In one week, Jupiter completes 16 4/5 rotations.

A boat is sailing 8 1/2 km/h. If no conditions change, how far will it sail in 1 1/3h?

8 1/2 x 1 1/3=

17/2 x 4/3 = 68/6
= 11 2/6

It will sail 11 2/6 km.

The distance to Grandma's house is 4/5 the distance to Uncle Glen's house. If Uncle Glen is 3 1/2 hours away, how long will it take to get to Grandma's house?

3 1/2 x 4/5 =

7/2 x 4/5 = 28/10
= 14/5
= 2 4/5

It would take 2 and 4/5 or 2 hours and 45 minutes.

It takes 3/5 of a tank of gas to get to work and back each day. How many tanks would it take
to go to work and back for 5 days?

3/5 x 5 =

3/5 x 5/1 = 15/5
= 3

It would take 3 full tanks of gas.

Owen is 2 1/4 times older than Robin. When Robin turns 8, how old will Owen be?

2 1/4 x 8 =

9/4 x 8 = 72/4
= 18

Owen will be 18.

A karate club is testing candidates. If it takes 3 1/4 hours to test 4 candidates, how long will it take to test 3 groups of 4 candidates each?

3 1/4 x 3 =

13/4 x 3/1 = 39/4
= 9 3/4

It will take 9 3/4 hors or 9 hours and 45 minutes to test 12 candidates.

Math Work April 28, 2009

2009-04-28T22:23:00.006-05:00

Well I really didn't feel like making anything special for this so I just made a plain presentation from google. Well, here goes...hope you like it :P.

I'm really sorry if you can't read it because of my messy writing...try and manage people!
Oh and if you can't see it because I screwed up somewhere, here's a link to it:http://docs.google.com/Presentation?id=dgxkm5mt_32cj374hgp or just click the square on the right, beside "Slide 01/03"

Math work--April.28, 2009

2009-04-28T21:45:00.006-05:00

Rayna and Samantha :]

6.
a)
3 x 3 1/2 =
3 x 3 = 9
3 x 1/2 = 3/2
= 1 1/2
1 1/2 + 9 = 10 1/2
She worked 10 1/2 hours.

b)
9 (dollars per hour)
10 (hours) 10 x 9 = $90.00
9.00 divided by 2 (half an hour) = 4.50
$90.00 + $4.50 = $94.50
Kristi earned $94.50 that week.

7.
2 2/5 (a day)
2 2/5 x 7 =
2 x 7 = 14
= 14/5
14/5 = 2 4/5
2 x 7 = 14
14 + 2 4/5 = 16 4/5
Jupiter completes 16 4/5 rotations in a week.

8.
8 1/2 x 1 1/3
8 x 2 + 1 = 17/2 1 x 3 + 1 = 4/3
17/2 x 4/3 = 68/6
= 11 2/6
= 11 1/3
In 1 and 1/3 hours the sail boat would've traveled 11 1/3 km/h.

9.
4/5 x 3 1/2 = 8/10 x 6/10
= 3 128/10
= 15 8/10
= 15 4/5
It will take 15 4/5 hours to get to grandpa's.

10.
3/5 x 5 = 15/5
= 3
He used 3L of gas to go to work every 5 days.

11.
2 1/4 x 8 = 9/4 x 8
= 72/4
= 18
Owen will be 18 years old.

12.
3 1/4 x 13/4 x 4 x 3 = 156/4
= 39
The club will need 39 hours of the gym in order to process the 3 groups of 4 candidates.

Math Work April 28, 2009

2009-04-28T21:34:00.006-05:00

So yeah im a very lazy person and ill just show you the questions and answers in the pictures.

Question 6 Sorry if it's very blurry

Question 7

Question 8

April 27, 2009 Math Homework

2009-04-28T20:56:00.011-05:00

Nicko's Stuff:
Questions 9 to 12

#9
The distance to Grandma's house is 4/5 of the distance to Uncle Glen's. If Uncle Glen's house is
3 1/2 hours away, how long will it take to get to Grandma's house if you travel at the same speed?

To multiply fractions, it would be way easier if there was no whole number. Let's turn 3 1/2 in to an improper fraction. To do this, you multiply the denominator by the whole number and add the numerator.
3 x 2 + 1 = 7

Now we have 4/5 x 7/2. Now we multiply the numerator then the denominator.
4 x 7 = 28
5 x 2 = 10
Now we have 28/10 as an answer. We then simplify the answer. 28/10 = 2 and 8/10. We can even simplify this more to 2 and 1/4.

Now we know that it will take 2 and 1/4 hours to reach Grandma's house.

#10
It takes 3/5 of a tank of gas to get to work and back each day. How much gas is used over 5 work days?

In each 5 days, 3/5 is used. So all you have to do is multiply the numerator by 5.
5 x 3 = 15.
15/5 or 3 tanks
In five days it takes 3 tanks of gas to get to work.

#11
Owen is 2 1/4 times as old as Robin. When Robin celebrates his 8th b-day, how will old Owen be?

8 x 2 1/4 is the basic question. Again we should not multiply mixed fractions, so we convert.
2 x 4 + 1 = 9
The question becomes: 8 x 9/4

*When we have a whole number being multiplied to a fraction, all you have to do is multiply the whole by the numerator and use the same denominator.*

72/4 is what it will become but now we have to simplify. Both numerator are even so the can be divided by two.
36/2 again they are both even.
18/1 is the most simple form possible. It's basically just 18.
Owen will then be 18 when Robin becomes 8.

#12
The Karate club is arranging a grading for its members. It takes 3 1/4 hours to test a group of 4 candidates. How long will the club need the gym in order to process 3 groups of 4 candidates each?

The question is basically asking: 3 x 3 1/4.
3 x 13/4
39/4
9 and 3/4

I got lazy and didn't show my work so I hope you figured out what I did. If not, check out the other question i did.

It will take 9 and 45 minutes to test 3 groups of 4 candidates each.

_Nicko---- ~_~" ----Lissa_

Multiplying Fractions- Homework

2009-04-28T20:26:00.008-05:00

Eunice Cadao
Gian Bailon
April 28 2009 <3

In Mr. Harbeck's class today we corrected our math homework. Our math homework was about multiplying fractions and today too we our homework was about multiplying fractions. Me and Gian diceded to split our math homework in half.

Eunice's:
9. The distance to Grandma's house is 4/5 of the distance to Uncle Glen's house. If Uncle Glen's house is 3 1/2 hours away, how long will it take to get to Grandman's house if you travel at the same speed?

It will take 15 8/10 hours to travel to grandma's house if you travel at the same speed.

10. It takes 3/5 of a tank of gas to get to work and back each day. How much gas is used over 5 work days? Show your thinking.

This question is hard. I didn't know how to multiply mixed fractions with whole numbers so I asked and all you do is that when you're multiplying fractions with whole numbers, consider the whole number is the numerator and your denominator would be 1.

11. Owen is 2 1/4 times as old as Robin. When Robin celebrates his 8th brithday, how old will Owen be?

12. The karate club is arranging a grading for its member. It takes 3 1/4 hours to test a group of 4 candidates. How long will the club need the gym in order to process 3 groups of 4 candidates each?

Gian's:

Homework Questions ..
Number ( 6, 7 , 8 )

Question 8 ;

Question 6 ;

Question 7 ;

Well we hope that we helped you. Comment at the bottom. :) <3>
THANK YOU! :)

Math Work - April 28, 2009

2009-04-28T19:56:00.021-05:00

Christian Odulio
Tracey Sayas

Tracey's Questions

Scribe Post April 27, 2009

2009-04-27T19:57:00.007-05:00

Okay today in class we got our tests back and I'm sure that most of us were happy with our mark and some of us not so much. Today in class we were also talking about the problem with Carol Garden and Flat Bush, but I don't know if I have to do that one, so I'm not because my dad if about to unplug my internet, sorry.

Now for homework today we had nine questions for multiplying fractions I am going to do three different questions, so you can see how to do them. :]

My first question is one form the two that you had to draw a picture for.
The question is 4/5 x 1/2 or 1/2 of 4/5.
Now first I will solve it. So all I have to do is multiply the denominators and multiply the numerators.
(numerators) 4 x 1 = 4
(denominators) 5 x 2 = 10
4/5 x 1/2 = 4/10
Now simplify
4/10 = 2/5

PICTURE

I think that's how you make the picture, but I am not sure because well I just don't know how to draw a picture of multiply fractions.

The next question is 3/4 x 1/2 x 6/7=?
3 x 1 x 6 = 18
4 x 2 x 7 = 21
3/4 x 1/2 x 6/7 = 18/21
now simplify.
18/21 = 6/7
YAY!! I hope!

Okay next question is 9/10 x 5/18.
Now first I am going to switch around the 5 and the 9 because it doesn't matter which side it is on because you are multiplying them together anyways.
So now the question is 5/10 x 9/18 or 1/2 x 1/2, now that is much more friendly. :]

1 x 1 = 1
2 x 2 = 4
1/2 x 1/2 = 1/4

There I hope it helped. Sorry I didn't do all of them

2nd Skills post

2009-04-27T13:26:00.005-05:00

Are 2/5 of 3/4 the same as 3/4 of 2/5 ?

- explain using pictures and math.

pictures:

math:

In these 2 different ways,

shows that 2/5 of 3/4 is the same as 3/4 of 2/5.

Skills Assignment 3

2009-04-27T13:17:00.012-05:00

He gave us two fractions and told us to figure out if 2/5 of 3/4 is the same as 3/4 of 2/5. So to find out going to use decimals and pictures. So first ill find out the decimals the first one is 6/20 which is 0.3 and I found out so is the other. that is one fact that says they are both the same and now im going to use pictures just to make sure... Both facts say that the fractions are equal.

1st Skills Post

2009-04-27T13:06:00.008-05:00

We are starting to learn about fractions. And this homework is just to show how a fraction is the same or different from each other.

1. 2/3 and 4/6
- explain in 2 ways how they're different or the same. - you can convert them into percentage, decimals or draw a picture.
This one is the same fractions, because if you convert it to a percent, decimal it will be the same. And if you draw a picture it will take up the same amount of space.
2/3 x 2 = 4/6 or
4/6 divided by 2 is 2/3

percent:
2/3 of a hundred is 66%

4/6 of a hundred is 66%

picture:

2. 1/8 and 1/4
- explain in 2 ways how they're different or the same. - you can convert them into percentage, decimals or draw a picture.
This one are not the same fractions, because when you convert it to percent or decimal it will show that one is bigger than the other.

decimal:
1/8 = 0.125
1/4 = 0.25

picture:

skills fractions

2009-04-27T13:05:00.000-05:00

Scribe Post for April 23, 2009

2009-04-26T14:54:00.009-05:00

Today in class we were disscussing what was the answer to this question.

Which lot more hard top?

Carol Gardens

3/4 of the lot will be playground for children.

2/5 of the playground will be hardtop for basketball.

Flatbush

2/5 of the lot will be playground for children.

3/4 of the playground will be hardtop for basketball.

The width is 100 meters and the length is 50 meters.

(both lots are the same size)

Draw a picture that shows the two lots to figure out the answer.

Carol Gardens

The pink shows how much playground is in carol gardens. This is 3/4 of the lot.

Now, we have to divide the playground (the pink) into fifths in order to get the answer. Once you cut 3/4 into fifths there would be 20 pieces but fifteen of the pieces is playground. We then have to change the denominator of 5 into a denominator of 15 so we could know how many squares to colour in. So, 2/5 times the bottom to 20 is 3. What you do to the top you do to the bottom so 2x3=6. So that means you have to colour in 6 out of 15 squares.

Flatbush

The blue part of this picture is how big is the playground in the lot. It is 2/5 of the lot.

We have to divide the playground (the blue) into fourths in order to get the answer. Cut 2/5 into fourths there would be 20 pieces but eight of the pieces is playground. We then have to change the denominator of 4 into a denominator of 8 so we could know how many squares to colour in. So, 3/4 times the bottom to 20 is 3. What you do to the top you do to the bottom so 3x2=6. So that means you have to colour in 6 out of 8 squares.

From the two pictures you could see that both of the hardtops are equivalent. They both make a fraction of 6/20. So, the answer is the Carol Gardens and the Flatbush have the same amount of hardtop on their playgrounds.

The next scribe is.... MAARC ! :D

Skills Fractions

2009-04-21T14:35:00.005-05:00

Decimals

To find the decimal you have to divide the numerator by the denominator.

2 divided by 3 = 0.6 repeated
4 divided by 6 =0.6 repeated

Once more to to get a decimal you have to divide the numerator by the denominator.

1 divided by 4 = 0.25
1 divided by 8 = 0.125

So in conclusion we found out that to get a decimal you have to divide the numerator by the denominator.

To Borrow or to be Improper that is the Question

2009-04-21T14:30:00.006-05:00

I am not exactly sure how to borrow, but I will try my very best to do this.

My first question is 3 1/4 - 1 1/2 = ?

First we are going to find the lowest common denominator.
3 1/4 1 1/2
3 1/4 1 2/4

You can subtract 1 from 3, but you can't subtract 2/4 from 1/4. So you have to make the 1/4 bigger by borrowing 1 whole or in this case 4/4.
3-1=2
4/4 + 1/4= 5/4
2 + 5/4 = 2 5/4

Now we solve!
2 5/4 - 1 2/4
2-1=1
5/4 - 2/4 = 3/4
1= 3/4 = 1 3/4

The next question is 50 1/10 - 25 4/5=.

First we find the lowest common denominator.
1/10 4/5
1/10 8/10

50 1/10 - 25 8/10
Now you can take away 25 from 50, but you can't take away 1/10 from 8/10 so you have to make the 1/10 bigger by borrowing 1 whole or in this case 10/10.

50-1=49
1/10 + 10/10= 11/10
49 11/10 - 25 8/10
49 - 25 = 24
11/10 - 8/10 = 3/10
24 + 3/10 = 24 3/10

JP's Improper Fraction Post

2009-04-21T14:24:00.011-05:00

How to subtract mixed by making improper fractions

3 1/4 - 1 1/2=?

Lets Simplify it into:

3 1/4 - 1 2/4

now we can subtract ;D

I will use this method (denominator x whole number + numerator = improper fraction)

3 1/4 - 1 2/4

(3 x 4 + 1) 1 x 4 + 2

13/4 - 6/4 = 7/4

= 1 3/4

So yeah the answer is 1 and 3 quarters.

Borrowing

50 1/10 - 25 4/5

49 10/10 + 1/10

49 11/10 - 24 5/5 + 1/5

49 11/10- 24 6/5

Borrow or be Improper Fraction Post

2009-04-21T14:21:00.009-05:00

How to subtract mixed by making improper fractions

3 1/4 - 1 1/2

Borrowing

50 1/10 - 25 4/5

49 10/10 + 1/10

49 11/10

25 4/5

24 5/5 + 1/5

24 6/5 - 49 11/10

To borrow or to be improper

2009-04-21T14:21:00.008-05:00

To borrow or be improper...
I don't really know how, but i will explain the best i can

The question is 50 1/10 - 25 4/5 when you do this without borrowing it would look like this
50 1/10 - 25 8/10 , 1/10 - 8/10 is kind of impossible ...

So you have to borrow . We will borrow from 50 1/10
All you need to borrow in this question is one , just enough so you can subtract 8

I will just take 1 away from 50 = 49 , now give that extra number to the numerator that makes 11 because 1 whole number equals ten tenths.

now it will look like 49 11/10

now you can subtract 49 11/10 - 25 4/5
49 - 25 = 26
change the fractions from 4/5 to 8/10
11/10 - 8/10 = 3/10
26 3/10 is the answer :)

Skills Post : Fraction

2009-04-21T14:01:00.005-05:00

We are now starting a new section in math class called FRACTIONS. This assignment is to help everyone understand how to understand the difference between each fraction.

2/3 and 4/6, which is bigger?

1/4 and 1/8, which is smaller?

There are many ways to find the difference between fractions but we will only consider 2. One way is to find its decimal value. We will do this for 2/3 and 4/6.

To find the decimal value of a fraction, you must divide numerator by the denominator.
2/3 =0.666
4/6 =0.666
As you can see both numbers equal the same amount.

Another way we can find out which fraction is smaller is by finding the common denominator. We will use this method to find the smaller piece between 1/4 and 1/8.

To do this we need to find the common denominator of 4 and 8. One way you can do this is by multiplying the numbers. A different way is just by counting multiples until you find a common denominator. We will use the second way to answer this question.

If we keep counting by fours, we will get to eight right away. Eight is then the lowest common denominator. We know to get four to eight we need to multiply by 2, therefore we need to multiply the numerator by two too.

1/4 = 2/8
now we can compare or contrast.
2/8 > 1/8

Now we know that 1/4 is bigger than 1/8.

Scribe Post

2009-04-19T17:05:00.012-05:00

On Friday we pretty much went over the homework from the day before, then we got a double-sided paper with a bunch of questions on it for homework.
Here's an example of an adding question. :]
A.
The first thing you have to do is find the common denominator. (it's best to find the lowest common denominator.)
The easiest way to find it is by multiplying the denominators. In this question, 4 multiplied by 5 gives you 20, which is the denominator. But multiplying isn't always the best solution.
Remember, what you do to the bottom, you must to do the top:
- you multiplied 4 by 5 to get 20, so you have to multiply 1 by 5, which gave you 5.
- you multiplied 5 by 4 to get 20, so you have to multiply 3 by 4, which gave you 12.
Last, add the numerators together, and you get your answer.

Here's an example of a subtraction question.
B.
Just like the last question, you have to find the smallest common denominator, which is 18. But you shouldn't multiply for this one. Instead, just look (or think) for the smallest common denominator that both numbers fit into.
Also like the last question, make sure you do the same to the top as you did to the bottom.
And last, you subtract the numerators, and then you get your answer.

Bracket question:
M.
In this question, you must do the brackets first. The same rules apply, you must find the lowest common denominator, which is 4. Make sure you do the same to the top as you did to the bottom, and then add the numerators.
Then, write the answer from the brackets (five eighths) and bring down the numbers outside of the brackets. Find the lowest common denominator, do the same to the top as you did to the bottom, add the numerators together, and you get your answer.

Word problem:
Q. Kent walked 3 fourths of a mile on Monday. On Tuesday, he walked 1 eighth of a mile less than on Monday. How far did he walk altogether?

Make sure you do both sides of the page! :]

SkillsPost

2009-04-17T12:03:00.003-05:00

In our skills class Mr. Harbeck taught us about comparing fractions.We were told to show if the fractions were the same, smaller, or bigger. The way you find out if a fraction is bigger, smaller or the same is by using a picture, or a decimal.

The first fraction was 2/3 and 4/6. Is 2/3 bigger, smaller, or the same as 4/6?

The decimal for 2/3 is 0.66666 repeating. The decimal for 4/6 is also 0.66666 repeating As you can see they are the same making them equivalent fractions.

Picture:The second fraction he gave us was 1/8 and 1/4. Is 1/8 bigger, smaller or the same as 1/4?

The decimal for 1/8 was 0.125, and the decimal for 1/4 is 0.25 proving that 1/4 is greater than 1/8.

Picture:

Scribe Post for April 16

2009-04-16T19:14:00.009-05:00

Today in class we received 2 adding questions and 4 subtracting question, for our fractions unit. So I will be solving these questions in this scribe.

The questions were:
1. 4/5 + 1 1/0 =
2. 2/3 + 1 1/2 =
3. 3/4 - 3/8 =
4. 4/5 - 1/2 =
5. 5/8 - 1/3 =
6. 13/50 - 4/5 =

For this last question, I most likely got this wrong.

And the next scribe shall be.. Jessica.

The Green Effect

2009-04-16T07:54:00.000-05:00

A Post From Liem

The Green Effect!

Okay guys! I found this really cool idea! Its called the green effect.National Geographic with Sun Chips are joining forces to inspire people to make a change in their communities. We need to compose a letter to National Geographic of 250 words or less explaining what we can do to make our community a GREEENER place. The five best ideas will win $20,000 dollars to help make their community a greeener place.

Some ideas would be like making a garden, putting recycling boxes around parks, making our school more green and other stuff! Imagine if what we can do with $20,000 dollars to make our community more GREEN

For more information please visit http://greeneffect.nationalgeographic.com/
Online voters will choose one winner, and a panel of judges will select the remaining four.

ScribePost for April 13 09

2009-04-14T21:46:00.005-05:00

On monday we learned more about fractions. We talked about adding fractions.
Here are the six questions on monday.

I KNOW IT'S MESSY, SO I'm sorry for that.

Scribepost for april 14!!!!!!!!!

2009-04-14T19:43:00.008-05:00

Homework For Today!!!!:):):):):):)
(Some information may not be accurate so try solving them yourselves)
For the next scribe I choose Eunice Cadao
Question 1 is 5/9+1/3=?

Question 2 1/4+2/5=?

Question 3 3/8+2/3=?

Question4 7/15+2/5=?

Skills Fractions

2009-04-13T14:03:00.022-05:00

Skills; Fractions

In skills we had to prove 2 different ways, if these two fractions 2/3 and 4/6 were greater, less than, or equal too each other. I did it in decimals and pictures. A key word we needed to think about was "precise".

DECIMAL: When you divide fractions you always divide the numerator by the denominator. 2/3 is 2 divided 3. Your answer will be 0.666 (repeating) Then you divide 4 by 6 and get 0.666 (repeating) Now you know that both of the fractions are the same or equivalent.

PICTURE:

2/3 and 4/6 are equal but not completely the same...
Even though they have the same amount of entirety that pieces they are cut into are different . They are also written differently .

The second question we had to do was, 1/8 and 1/4. is 1/4 bigger - smaller - or equal to 1/8? To find the answer you need to do the same thing for this question like you did for the first. I'll show you in a decimal and a picture ...

DECIMAL: 1 divided by eight = 0.125
DECIMAL: 1 divided by four = 0.25

PICTURE

so you can see that 1/4 is bigger than 1/8
1/4 is cut into smaller pieces . would you rather have 1 out of four pieces or 1 out of eight pieces ?

PICTURES FROM: Rayna

Skills Fractions

2009-04-13T14:03:00.019-05:00

skills homework (fractions)
Mr.Backe has been explaining to us for the last couple classes that even though fractions are equal in size they are not the same. Like my first example... 2/3 is greater, less then or equal to 4/6. Lets find out shall we :) Okay first we are going to find the decimals so we can compare them to see which is bigger.
DECIMALS

To find the decimal you have to divide the numerator by the denominator.

2 divided by 3 = 0.6(repeated)

4 divided by 6 =0.6(repeated)

so according to the decimals both fractions are equivalent, but we still aren't sure so lets try it with a picture.
PICTURE

Both the decimals and the pictures tell us that the fractions are equal, but they aren't the same. lets say we had a pizza and there was a chocolate and we cut it into 3 pieces and there was only two of us. All a sudden two more people come in and want some chocolate, so we cut each of the three piece in half. Now each of the four people get 1/6. Although the same amount was eaten, they got smaller pieces.

The next Example is 1/8 and 1/4, this one I will do the picture first.
PICTURE

Now according to the pictures 1/4 is bigger then 1/8, but just to b sure lets figure out the decimal.
DECIMAL

Once again to find the decimal you have to divide the numerator by the denominator.

1 divided by 4 = 0.25
1 divided by 8 = 0.125

Now that we also found the decimal we know that 1/4 is bigger hen 1/8 because if the whole is cut into 4 the pieces will be bigger then if you cut the whole into 8 pieces.

Robert's Skills Scribe

2009-04-13T14:02:00.007-05:00

In skills class, Mr. Backe asked us two questions
they are:

Is 2/3 and 4/6 different or the same?how?
(Explain in two different ways)
Is 1/8 and 1/4 the same?
(Explain in two different ways)

1. Is 2/3 and 4/6 different or the same? how?

Both numbers are the same because if you convert them into a percentage they would be the same.
Like this:

2/3 = 66%

4/6= 66%

We could also convert them into decimal to prove that they are the same.

2/3= 0.66

4/6=0.66

By this it shows that they are the same.

2. Is 1/8 and 1/4 the same?

No, they're not.

1/8=0.125

1/4=0.25

By converting it by decimals it shows that it is not the same.

skills problem

2009-04-13T13:58:00.010-05:00

Two thirds and four sixths are the same because if you times the two and the the three from two thirds by two you get four sixths. In other words it's the same amount of a whole. Here is two different ways to explain it.

The next question was about one eighth and one fourth. Here is two different ways to proof that they are different.

These are precise ways of figuring out the bigger fraction.

Skills HomeWork

2009-04-13T13:57:00.025-05:00

Skills Home Work
by Gennia
For our skills home work we were assigned some fraction questions. We are expected to solve them and make a post about it.

To find the decimal you have to divide the numerator by the denominator.

2 divided by 3 = 0.6 (repeated)
4 divided by 6 = 0.6 (repeated)

This way the decimals should all be equivalent. Lets be sure by looking at this photo.

Picture taken by Rayna:P
This picture shows us that the decimals and the fractions are equivalent, but not the same.

Okay so .. our next question is 1/8 and 1/4. Here is the picture for that.

What the picture is showing us it that 1/4 is bigger than 1/8.
You always have to double check though, so to make sure lets figure out the decimal.

1 divided by 4 = 0.25
1 divided by 8 = 0.125

So we found the decimals and prouved that 1/4 is bigger than 1/8.
If the whole is cut into 4 the pieces will be bigger then if you cut the whole into 8 pieces.

JP's Skills Fraction Scribe

2009-04-13T13:57:00.017-05:00

How is 2/3 and 4/6 the same or different? And is 1/8 and 1/4 the same?
(Explain in 2 different ways)

1. We can convert these fractions into Percents

2/3= 66%

4/6= 66%

2. We can convert them into decimals

2/3= 0.66

4/6= 0.66

1. Is 1/4 and 1/8 the same?

No they're not the same

We can convert them into another fractions using different numbers but still be the same amount.

1/4 = 75/100

1/8 = 2/16

Pythagoras

2009-03-26T23:48:00.010-05:00

Above is a man named Pythagoras. He invented the "Pythagorean Thereom". He has also found out that the earth is round and that the solar system doesn't revolve around the earth, but the sun! This greek man was also a philosopher and a teacher.

Right Angled Triangle:

Who is Pythagoras ?

2009-03-23T19:10:00.022-05:00

Who is Pythagoras ?

Phytagoras is a Greek mathematmatician and was also a teacher and a philosopher, He also calculated the earth's circumference and discovered that it was a sphere not a flat. He was known for the Pythagorean theorem ( a2 + b2 = c2 ) , known as the " father of numbers " and was also a vegetarian. Pythagoras was one of the most important people in the world. Although they don't have evidence that Pythagoras excisted he was still an important person in the world.

http://www.mathsisfun.com/definitions/images/pythagoras.gif

PROOF ;

PROOF 2 ;

Right Triangle ;
Right Triangle it can also be called " R.A.T " which mean ( right angled triangle ). Side A and B make up the LEGS which is the longest side of the triangle. It doesn't matter where the side A and B goes as long as the hypotenuse is on the right place. The Hypotenuse is the longest side of the triangle. In most triangles something is labeled as " Q & B " Q means theta and B means beta. The right angle on the triangle means 90 degrees.

( this picture was drawn by chin )

Square ;

- All sides are equal
- quadrilaterals
- each side are 90 degrees
- all sides equals to 360 degrees

Finding The Sides Of A Square ;

Pythagoras Homework ;

a² + b² = c²

you have to replace the letters into numbers

8² + b² = 10²

now we have to figure out what b equals

b²=(10x10)-(8x8)

b²=100-64

b²=36

we now have to find the square root of 36

b=6

* since thee are two triangles we have to do that twice , which give us b = 12 *

Challenge!!!

2009-03-18T12:30:00.002-05:00

Hey Everyone! I'm not sure if Mr. H want's me to write here, {please let me know if this is bad haha} but my name is Chantelle and I am going to the U of Regina and have been invited to your Blog!!!

I came across a question in one of my math classes that I feel will be right up your alley with Pythagorean Theorem! So here is a little challenge for you!

The question is: The perimeter of an isosceles triangle {2 sides are equal and the two angles at the base are equal} ABC with AB=BC is 128 inches. The altitude {height of the triangle which is perpendicular (90 degree angle) to the base ( and in the case of an isosceles triangle, hits at the midpoint of the base)} BD is 48 inches. What is the area of the triangle??

So, you will need a couple formulas other than just pythagorus. However, I think you can do it!

This is from my Math 308 class, which is a 4th year math class!!!

Good Luck!!

Scribe Post for March 16

2009-03-16T16:23:00.006-05:00

Hi today i got to do the scribe post again because abby picked me so here's what we did today.
Today we did the colored booklet that was on the video on the blog.
so here's how the front should look like...

and here's the first page when you flip it should look like.(basically you just need to explain what each section means and you get them from the notes)

And here's the second page when you flip it twice.
You need to use the squares that we did on friday and cut them and put them whether they're perfect square or not perfect. and you need to put them in a number line formatic....

If you still need some help look at the video in the sargent park math zone or ask Mr. Harbeck for the papers..
For the next scribe i choose Marc

Scribe Post for March 13, 2009

2009-03-13T16:33:00.010-05:00

I get to do a scribe post on Friday the 13th! Aren't I so lucky? (:

Okay so today in class, we added a few new things onto that big sheet with the square roots on it. We made sure that there was numbers 0 to 21 in the top number line.

Here's what we did on the top number line on the big sheet. I'm not going to do the whole thing though, only 0-5 (the words in the red are what we added) :

What we had to add here is what the square root would look like as a fraction. The 0 and 1 start off normally, but then after there's a mixed fraction. Let's look closely at how we got the numbers for this mixed fraction:

We do this for the next 15 numbers on the number line.

Here what we did for the second number line on the big sheet (the words in the red are what we added) :

For this number line, we had to add what the numbers on the bottom are when they are squared, and include the square root sign with them. We do this for the rest of the 15 numbers (the second row also has to have the number 0-21). After we finished the second number line, we had to find patterns within the number line. One pattern that my table group and I found is that the square root numbers on the top increase by odd numbers.

HOMEWORK:

On the back of the big sheet, write out how many patterns you can find on the number lines.

I hope this blog helped anyone who was away from school today! I was kind of having a hard time explaining things, so please comment if you think I missed out something! Have a great weekend guys! (:

The next scribe post-er I choose is .. FRANCIS!

Scribe Post March 11, 2008

2009-03-11T20:40:00.005-05:00

Today in class we were talking about square roots.

What is a square root?

We had to use pictures, words and numbers to explain.

A square number is finding a root of a number that is squared.

HOMEWORK:
What is all the square roots between 1-19

SORRY, but the pictures that are supposed to be uploaded will not be available at the moment because of something happening to the computer. The picture will be posted up as soon as possible.

The next scribe IS... Nicko FRANCISCO !

Scribe Post March 9, 2009

2009-03-10T07:15:00.008-05:00

On Monday, I was 10 minutes late. So I came in knowing nothing, but I asked a couple of my fellow students and I think I know now.

So, when i came in Mr. Harbeck had a multiplication chart on the smart board.
Then he talked about perfect squares.

The multiplication chart should look like this:

Then he made perfect squares with them,
The squares are perfect because the number is whole, if it has a decimal then it wouldn't be.

These are the perfect squares.

Then the homework.
The homework was to make a perfect squares chart.
It looks like this:

The second homework was this:
well, I think the first one is because it has equal sides.

I think that's all we did. :)
I'm really sorry if there are any mistakes, I'm pretty sure there are.
Well, time to pick the next scribe and I pick Mellisa B.

Scribe Post March 4, 2009

2009-03-04T20:18:00.003-06:00

Yeah so yeah xD all the work is in the picture

Scribe Post

2009-03-04T16:33:00.004-06:00

Today I am going to be talking about just one thing.

So today in class Mr. H put a question about a wire going from a tree to the roof of a house, and you had to figure out the length of the wire. Here's the question.

How long is the wire that runs from the base of the tree to the roof of the house in the drawing? Round to the nearest hundredth place.

From here on you just do what you normally do when you have a right triangle.

( Don't mind the cat hehe. That's my cat Felix by the way. :] )

a² + b² = c²
23² + 36² = c²
(23 x 23) + (36 x 36) = c²
484 + 1269 = c²
1780 = c²
√1780 = √c²
42.19 = c

Which then makes c 42.19.

That's really the only thing I have to put in my scribe today.

Remember:
- We have a test tomorrow.

- Also, do the rectangle homework (as well as this). There will be a scribe from someone else for that one. It is also on the blog.

Have a good night everyone!

Scribe Post

2009-03-03T12:17:00.008-06:00

The Following times were recorded, in seconds. For the runners in a race.

20.2, 16.5, 40.4, 18.5, 21.4, 20.5, 17.1, 24.5, 19.0

What is the range of the times?

What are the mean and median of the times?

Identify any possible outliers. Should the Outlier(s) be removed from the data set?

The first thing you should do is arrange the data set in ascending order.

16.5, 17.1, 18.5, 19.0, 20.2, 20.5, 21.4, 24.5, 40.4

We will start with the range

to get the range you must take the greatest number and subtract the least from it.

Greatest - least = range

40.4 - 16.5 = 23.9

Next we will find the median this is where the ordering in ascending order comes in handy.

You have to find the middle number one way is to get rid of the ends so until you only have one or two numbers in the middle.

To get the mean you need to add up all the numbers in the data set and divide by how many numbers in the data set.

sum of all data 198.1

_________________ = 22.01

number of data 9

last we will find the outlier if there is one an outlier is a number that doesn't fit in in this case all the numbers are less than 25 but one which is 40.4 it is an outlier. sometimes an outlier will kill the set of data and destroy the mean with the outlier the mean is 22.o1 without the outlier it is 19.71 Sometimes it is smart to take out the outlier before finding the mean. For example it is smart to take it out so it doesn't completely mess up the mean.

we also did some triangles here are two of them of them.

Pythagoras

2009-03-01T23:44:00.007-06:00

The Theorem

Two angles that equal 90 degrees are called complmentary angles. Angles that make a strait line equal 180 degrees and the two angles are called supplementary.

Proof

Pythagoras Post

2009-02-26T21:31:00.024-06:00

Made By: Deb Russell

The Pythagorean theorem

The formula of the Pythagorean Theorem is A squared +B squared =C squared (or on the top left of the picture)

The Right Triangle:
The right angle had a 90 degree angle. Of course something has to make that 90 degree angle, the leg A and B make up that angle.
The line across the 90 degree angle is the longest side which is called the hypotenuse.
There is also two other things that are in the right triangle that equals 90 degrees, these two are called theta and beta.

The Square:
The square always has sides that are all the same, all sides equal 90 degrees. When you split a square by cutting once across the 90 degree angle it makes two right triangles.
Two angles that equals to 90 degrees are called Complementary.
Angles that makes a straight line equals 180 degrees. And two angles are called Supplementary.

This was all invented by a Greek man named Pythagoras. Pythagoras is a mathematician,and a teacher/philosopher. He is also one of the most important mathematicians in the world.

In math class we made a video about how to solve to the "C" i hope you like it.

But wait we also made a second video on how to solve the "B" this time. I hope you like it.

Pythagoras

2009-02-26T20:02:00.019-06:00

This man is Pythagoras.
Pythagoras made the proof of the right triangles. Pythagoras was a teacher and a Philosopher he is a very important person to mathematics. Pythagoras made the Pythagorean theorem which is:

This theorem is saying that A and B have a relationship with C:

Now we move to Triangles

Triangles are also called R.A.T. a right angle triangle. A right triangle has a hypotenuse the longest side to a triangle. A R.A.T also has legs and the right angle. There are also symbols in the corners of the triangle called theta and beta. Theta looks like a circle with a slash in the middle and beta looks like a B with a tail.

Now into Squares and Rectangles:

Squares and rectangles are in a group called quadrilaterals they have 4 sides and if you put 2 triangles you make a square or rectangle. They all make 360 degrees inside. A square has 4 equal sides and a rectangle has 2 long sides and 2 short sides.

Now on to 2 math problem

This one you have to find the bottom length.

A²+B²=C²

8x8+BxB=10x10

B²=100-64.............36

square root b² is B and the square root of 36 is 6 but there are two so you add 6+6 and the length side is 12mm.

Another Math problem

Firstly you can see that going around isn't the answer you cut across the yellow square find the side of C.

AxA + BxB = CxC
10x10 + 12x12=CxC
100+144=CxC
244=CxC
Square root 244 and you will get 15.6

Now you have the purple square you just add the bottom length so 10mm+ 2mm= 12mm
That is the shortest distance to A and B.

Movie will be uploaded soon.

Pythagoras

2009-02-26T18:12:00.014-06:00

[photo taken from Mr.H's post]

This man is named Pythagoras. He was a teacher and philosopher in Greece, who was also vegan. Pythagoras was famous for calculating the circumference of the earth and realizing that the earth is a sphere and not flat. Pythagoras discovered the Pythagorean Theorem (a² + b² = c²).

This is the formula for the Pythagorean Theorem.

In this picture is a right triangle. R.A.T [ Right Angle Triangle]. The longest side of the triangle of the triangle is the hypotenuse. [side C= Hypotenuse]. The other two side are called the legs. [ side a & b= legs], and it doesn't matter which lines the letters go on. The legs both equal 90 degree angles. The square in the corner tells you that the lines equal a 90 degree angle. The sign in the corner that looks like a 'B' is called Beta and the sign that looks like a O with a line through it means theta.

This is a quadrilateral square. Quadrilateral means that all the side are the same length. The lines on each side of the chair indicate that each side is equal. In the corners of the square are the squares again, which means the sides make 90 degree angles. All the angles make up 360 degrees, therefore making the square equal 360 degrees.

pythagoras

2009-02-26T13:15:00.000-06:00

Pythagoras Thereom

2009-02-26T13:11:00.001-06:00

Pythagoras Theory

2009-02-25T18:28:00.010-06:00

If you put any two triangles together you get a square or a rectangle like the one below.

These are quadralaterals they both have four sides and the

The sides that make up the angles can be called "legs" and can be called a or b so c is called the "hypotenuse."

make some cuts in "a" and arrange them around "b" to get "c"

And that is the jist of Pythagora's Theory

Pythagoras Post

2009-02-25T17:08:00.025-06:00

This is Pythagoras :

Pythagoras is a greek mathematician. A teacher and a philosopher.

Pythagoras is one of the first important mathematician.

Pythagorean theorem :

http://www.mathsisfun.com/definitions/images/pythagoras.gif

Right triangle:

A right triangle has a 90 degree angle.
The leg a and b makes up that 90 degree angle.

From the 90 degree across, is where the long side is, the hypotenuse.

The theta and beta corners has to equal to a 90 degree to make a right triangle.

Square:

All sides of a square is the same. All the corners are 90 degrees.
When you split a square in half, it make 2 right triangles.
4= 90 degrees angles quadrilateral internal angles = 360 degrees.

Two angles that equals to 90 degrees are called Complementary. Angles that makes a straight line equals 180 degrees. And two angles are called Supplementary.

Were looking for the " a ". We know that " b " is 8 mm, and " c " is 10 mm.

So what i did is minus " b " to " c " and then I solved the exponents.

The when I got the exponents gone, I subtracted the answer of " c to b "

To get rid of the " a's " exponents you have to square root.

And what you do to the one side you do to the other side too .

So I square root the 36 and the " a " and got.. " a " = 6mm.

But were actually looking for two " a " because theres two triangles.

So you just added two " b's " which is " 6+6 " and got 12mm . " a = 12mm "

were trying to figure out what the diagonal is. So, i divided the square in half. and try to figure out what the long side. So we know that " a and b " is equals to 3 mm. So what i did is simplify " a and b exponents ". Then just add them together. And then, we square root to get the answer.

In this one, were trying to figure out the diagonal of the bigger square. I did the same thing as the first one. But instead of the " a and b " equals 3. In this one, " a and b " equals to 8mm.

Video:

Pythagoras

2009-02-24T21:24:00.024-06:00

I chose to do the second problem and the third problem.

Phythagoras

2009-02-23T21:16:00.015-06:00

Phythagoras

Pythagoras was a Greek philosopher who made important developments in mathematics, astronomy, and the theory of music. The theorem now known as Pythagoras's theorem was known to the Babylonians 1000 years earlier but he may have been the first to prove it.

The Side A and Side B can be two different numbers but they both have to equal 90 degrees. These two sides are also called legs for the triangle. Once these 2 angles are added they are called Complementary Angles. There are also angles that are 180 degrees and make a straight line. This is called Supplementary.

In this picture there are two triangles that make one rectangle.
Two triangles can also be used to make 1 square or other
quadrilateral.

Question Example -

a²+b²=c² - Theorem
16²+12²=c²
(16x16)+(12x12)=c²
256 + 144 square root of 400 20=c

To make sure that your answer is right look
at the triangle and check the side or the length
your working on and see if the other sides and
shorter or longer.

Questions and Problems Problem 3 :

Answer :

Eunice's pythagoras post

2009-02-23T18:59:00.033-06:00

Eunice Anne
February 26, 2009
8-16 (:

Pythagoras
is a Greek mathematician and scientist, born between 580 and 572, then he died between 500 and 490 BC. he founded the religion movement called "pythagoreanism". he's best known for the Pythagorean theorem. Pythagoras and his students believed that everything is related to mathematics and that numbers were ultimate reality and everything could be predicted and measured in rhythmic patterns or cycle. with very strict rules of conduct Pythagoras undertook a reform of the cultural life of croton, urging the citizens to follow virtue and form an elite circle of followers around himself called Pythagoreans. he and his students lived at the school he opened, the student is required to be vegetarians. Pythagoras is also the first man to use music as medicine. his disciples would sing hymns to Apollo together regularly. they used lyre to cure illness of the soul or body; they recited poems after sleeping to aid the memory. he died around 90 years old for unknown reason. it was sad that the influence of Pythagoras on Plato and other was so great that he could be considered the most influential of all western philosophers.

According to Pythagoras...

To understand Pythagoras, you must know the meaning of the sides of he right triangle and the right triangle itself.

Right Triangle- a triangle in which one of the sides measure 90 degrees
Legs- the two sides of the triangle that make up the right angle of the right triangle
Hypotenuse- is the longest side of the right triangle
R.A.T- is the right angle triangle
Greek- is the native language of Greece
Theorem- is a law or principle that is tested and argued

I care about grade 8 math because it is a preparation or introduction for the future lessons especially in math and in higher sciences. Also, I just want to have a good mark.

Square
- a square has all equal sides
- all sides of the square is 90 degrees
- a whole square has 360 degrees because if you add all of the 90s you get 360

- internal angles

R.A.T: Right Angle Triangle

- all right angles are 90 degrees
- whole triangle is equal to 180 degrees.

- right angle triangle
- right angle = 90 degrees
- triangle=90 degrees When two angles equal up to 90 degrees they are called COMPLIMENTARY angles that make a straight line equal 180 degrees and the two angles are called SUPPLEMENTARY.

RECTANGLE:
- all sides equal
- quadrilaterals
- internal angles
-sides are 90 degrees
- rectangle= 360 degrees

TRIANGLE:

- a and b make up the legs of the right triangle
- c= hypotenuse
= it is the longest legs of the right angle
- is always across the right angle

Pythagorean Theorem
- the Pythagorean theorem was started by Pythagoras
- it helps you find the c or the hypotenuse or the longest side of the triangle

- 4x4+3x3=25
this square used to be 2 squares. I added them both up to make an equal square. 4x4+3x3=25 then after I have to find a number that ...... (ask mom for help)

Pythagoras Theorem

Proof:

Another one proof:

Finding the sides of the square:

Pythagoras Homework:

A checkerboard is made of 64 small squares that each have a dimension of 3 cmx3cm. The 64 small squares are arranged in eight rows of eight.

My videos:

Those are all the things that I have learnt in this whole Pythagoras unit. I hoped you liked the pictures and enjoyed my presentation. I apologize for future drawing mistakes if I have. I hoped I helped you understand Pythagoras. I sure did enjoy explaining and making pictures. x) Until next time... BYE! :) :D <3

Pythagoras

2009-02-22T21:36:00.013-06:00

The Theorem

Proof

Word Problems

Pythagoras Videos