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	<title>Ms. Ionno&#039;s Math Class</title>
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		<title>#24 Math Inventions by Maddie &amp;  Dzana</title>
		<link>http://weblogs.pbspaces.com/ionnoj/2010/04/26/24-math-inventions-by-maddie-dzana/</link>
		<comments>http://weblogs.pbspaces.com/ionnoj/2010/04/26/24-math-inventions-by-maddie-dzana/#comments</comments>
		<pubDate>Tue, 27 Apr 2010 00:58:38 +0000</pubDate>
		<dc:creator>ionnoj</dc:creator>
				<category><![CDATA[Class News]]></category>

		<guid isPermaLink="false">http://weblogs.pbspaces.com/ionnoj/?p=558</guid>
		<description><![CDATA[Write a letter to the  editors of Invention magazine. Name three math  inventions or concept  you couldn’t live without and explain why they  are so important to you.
Maddie
Dear editors of  invention magazine,
What kinds of math inventions do you  use? People all over the world use all different kinds of [...]]]></description>
			<content:encoded><![CDATA[<p><a href="http://weblogs.pbspaces.com/ionnoj/files/2010/04/prot.jpg"><img class="alignleft size-medium wp-image-622" style="margin: 7px;border: 4px solid turquoise" title="prot" src="http://weblogs.pbspaces.com/ionnoj/files/2010/04/prot-199x300.jpg" alt="" width="199" height="300" /></a>Write a letter to the  editors of Invention magazine. Name three math  inventions or concept  you couldn’t live without and explain why they  are so important to you.</p>
<p>Maddie</p>
<p>Dear editors of  invention magazine,</p>
<p>What kinds of math inventions do you  use? People all over the world use all different kinds of tools and  concepts to do math, ranging from pencils to abacus. All of the tools  are used for different things Me, I prefer protractors, number and  calculators.</p>
<p>First of all, protractors, what would I  do without them? You can’t find the exact degree an angle is, unless you  have a protractor. Protractors look like someone cut a circle in half.  Then put number all around the rim. So when you don’t have a protractor  you can’t know the exact degrees. So when you get a math problem and it  says “what is the degrees of the angle shown?” you will get it wrong.</p>
<p>Also an important  math invention is numbers. Without numbers you can’t do math at all.  With numbers you can add five plus tow which equals seven, or multiply  six times four which equals twenty four. Numbers will go on forever. If  you know how to count math can be accomplished.</p>
<p>Last is the  calculator. Calculators are very important to me too. With calculators, I  can do all kinds of math in just a few seconds. Calculators are as fast  as jet flying through the air. They can multiply numbers like seven  hundred sixty two times nine hundred fifty six (which equals seven  hundred twenty eight thousand four hundred and seventy two) in just a  three seconds. If you didn’t use a calculator it would have taken at  least two minutes. That’s one hundred and twenty seconds.</p>
<p>So you see  protractors, numbers and calculators are all great math inventions to  use, because without them we wouldn’t be able to find the exact degrees  of an angle. Wouldn’t be able to do math at all, and wouldn’t be able to  do math operations with big numbers quickly.</p>
<p>Sincerely,<br />
A Sixth Grade Math  Student</p>
<p><a href="http://weblogs.pbspaces.com/ionnoj/files/2010/04/ipod.jpg"><img class="alignleft size-medium wp-image-623" style="border: 4px solid turquoise;margin: 7px" title="ipod" src="http://weblogs.pbspaces.com/ionnoj/files/2010/04/ipod-300x199.jpg" alt="" width="300" height="199" /></a>Dzana</p>
<p>Dear Invention Magazine,</p>
<p>To start off, I  believe ideas are very important, since they lead to  inventions. But the best type is a math invention.  This includes all types of technology. But my favorite one’s are the, iPod, calculator and  computer.</p>
<p>Of course the iPod brings smiles to  faces, since it’s your private little world of music. You can block out thoughts, or even cause them  to come back, but I use it as a time waster, especially while I’m bored.  It makes me see a colorful version of the world.</p>
<p>Never forget the calculator, since its used world wide for  almost anything. Using it for homework is an advantage. Mostly because I  sometimes don’t have the nerve to do a complicated math equation. Like  many other lazy people like me.</p>
<p>Last, but NOT least, the computer is  like a diamond, in a pile of sand. Basically, everyone has one. It’s  very useful; you can finish your work, have fun on  it, and even write an essay, like me. Each year the computer is getting  upgraded, causing us to have a super computer by the end of the century.  Computers are great, and my favorite.</p>
<p>In conclusion, I believe all math  inventions make our world go ‘round. Everyone uses them, especially me.  So, keep developing new idea’s to get you started.</p>
<p>Thank you Invention Magazine</p>
<p>From: Student</p>
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		<title>#16 No technology&#8230;What then? by Ashlyn  Sonam &amp; Halle</title>
		<link>http://weblogs.pbspaces.com/ionnoj/2010/04/26/16-no-technology-what-then-by-ashlyn-sonam-halle/</link>
		<comments>http://weblogs.pbspaces.com/ionnoj/2010/04/26/16-no-technology-what-then-by-ashlyn-sonam-halle/#comments</comments>
		<pubDate>Tue, 27 Apr 2010 00:37:18 +0000</pubDate>
		<dc:creator>ionnoj</dc:creator>
				<category><![CDATA[Class News]]></category>

		<guid isPermaLink="false">http://weblogs.pbspaces.com/ionnoj/?p=561</guid>
		<description><![CDATA[Imagine that you had no TV, computer, or video  games for a  whole week. Think of some activities that you can do instead  to keep  you busy and out of trouble
Ashlyn
What should I Do?
Hmmm… I wonder what I  could do for a whole week without my trusty computer, my faithful [...]]]></description>
			<content:encoded><![CDATA[<p><a href="http://weblogs.pbspaces.com/ionnoj/files/2010/04/311323446_a3815230cb.jpg"><img class="alignleft size-medium wp-image-617" style="border: 4px solid orange;margin: 7px" title="311323446_a3815230cb" src="http://weblogs.pbspaces.com/ionnoj/files/2010/04/311323446_a3815230cb-300x225.jpg" alt="" width="300" height="225" /></a>Imagine that you had no TV, computer, or video  games for a  whole week. Think of some activities that you can do instead  to keep  you busy and out of trouble</p>
<p style="text-align: center">Ashlyn</p>
<p>What should I Do?</p>
<p>Hmmm… I wonder what I  could do for a whole week without my trusty computer, my faithful TV, or  my friendly video games. What to do, what to do? Well I guess if I just  had to I’d read more books, be more creative, and catch up on my basket  ball skills.</p>
<p>1<sup>st</sup> off, I’d start  getting along with books a little more. I’ve always been fond of them  and I’ve read books for as long as I can remember. But for a week I  could explore a little more, maybe read a lot of books. You know, have  an adventure, and think new thoughts. After  polling my class, ¾ said agreed they do think differently after reading a  book. In the end I might come out to be smarter, and all in all that  would make me the winner. You never know, it might even help me with my  carrier.</p>
<p>Next, I’d start  being more creative. Creativity helps explore the mind. It can bring out  your emotions in a drawing, your way of seeing in a painting, the way  you think in a sculpture. It helps bring out your inner self and  discover more. Not the world but you. I love to write stories, draw, and  make things. It’s what makes me me. I’ve had to stop or ignore it for a  long time though, because of home work, laziness, and most of all –  technology. I’ve given up something fun and wonderful just for things  that waste my time. I could be making myself a better person and, who  knows, maybe even doing things for a local newspaper. I remember the  time in 4<sup>th</sup> grade when I had an art project to do  and my art teacher told me it was so wonderful that she was putting it  up in the Tequesta art gallery to represent the school. You know what I  got to see that month? If I gave up on technology and put that aside, I  bet you you’d be seeing my art and creativity everywhere you went.</p>
<p>Last but certainly not least, I’d definitely brush up on my  basket ball. Let’s face it, everyone knows I’m not the best basket ball  player in the world, but that’s just because even though I have a love  for the game, I’m just spending my time gluing my teary red eyes to the  TV or computer. I’d have more time to practice and more devotion to if I  couldn’t use my electronics. 78% of people don’t practice at something  because they’re too busy watching TV or playing video games. I know if I  tried, I’d be better than anybody else. For example, Michael  Jordan always practiced  basket ball and turned out to be one of the most famous players. If I  practiced more, I might be better than anybody.</p>
<p>So if I had to be stuck in my house and not be able to  watch TV, play my Wii games, or even go on the computer you’d find me  reading, being creative, or outside shooting hoops. I just know I could  do better in all 3 things if I paid more attention to them and you’d see  me conquering them all.</p>
<p><a href="http://weblogs.pbspaces.com/ionnoj/files/2010/04/218913879_d9c7a5dbea.jpg"><img class="alignleft size-medium wp-image-620" style="border: 3px solid yellow;margin: 7px" title="218913879_d9c7a5dbea" src="http://weblogs.pbspaces.com/ionnoj/files/2010/04/218913879_d9c7a5dbea-300x270.jpg" alt="" width="300" height="270" /></a>Sonam</p>
<p>Can you imagine one week without any  technology? What if it happened to you? Well, if it happened to me, I&#8217;d  know what to do. Some activities that I could do are playing board  games, playing tennis, and talking with my friends.</p>
<p>First off, one thing you can do without  technology is playing board games. Board games are a classic way to have  fun! Your family could have one night of playing a special board game  each week. Some of my favorite board games are Monopoly, Life, Clue and  faces.</p>
<p><a href="http://weblogs.pbspaces.com/ionnoj/files/2010/04/244887742_53c012c174.jpg"><img class="alignleft size-medium wp-image-618" style="border: 4px solid green;margin: 7px" title="244887742_53c012c174" src="http://weblogs.pbspaces.com/ionnoj/files/2010/04/244887742_53c012c174-300x225.jpg" alt="" width="300" height="225" /></a>Halle</p>
<p>How much time do you think that you  spend when you use the computer, watch television, or play video games?  For one week of no video games, T.V, computer, this is what I would do  to keep occupied.</p>
<p>One thing I would do  is to go outside and play. It doesn&#8217;t take a genius to figure out that  kids now-a-days watch too much television or play video games or play on the computer  too often. You also don&#8217;t have to be an Einstein to know that after a  few hundred years of video games, T.V and the computer that kids  won’t be exercising at all. How horrible do  you think that would be?</p>
<p>Another thing that I would do would be to study, like really study  everything. For example, I would go to the back of book in my math, social  studies, science, and Language Arts textbooks and look up things to do  in them. Like maybe I would study vocabulary words for science or read poems and find  examples of figurative language for Language Arts and things like that.  Because when I would go to school after this week of no electronics,  everything would be so much easier to understand. I would know what my  science teacher was talking about if she said to me &#8221; Halle, if you baked a  cake, would, or would this not be an example of a chemical reaction?&#8221; or  if my social studies teacher asked me what the capitol of Mongolia was, I would be able to tell her  because I had studied.</p>
<p>Lastly,  I would go meet and talk to people. When I am sitting in front of a box  watching shapes move, I&#8217;m not interacting with anyone, even if my  family is sitting next to me. We aren&#8217;t talking to each other the way we  would if we were playing a family game, or discussing something at the  dinner table. We wouldn&#8217;t even really be together. The only thing we would be doing  together is sitting on a couch. So what I would do would be to go take a  walk and engage people that I saw maybe sitting out in their front yard  in a conversation. Maybe even make a few friends.</p>
<p>So all together, if I had no T.V, video games, or anything  else electronically related for one week, I would go outside and play,  study for school, and interact with others. So you never know, you might  enjoy doing this more then just playing with your video games!</p>
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		<title>#14 Math in the Real World by Danny &amp; Shayla</title>
		<link>http://weblogs.pbspaces.com/ionnoj/2010/04/18/14-math-in-the-real-world/</link>
		<comments>http://weblogs.pbspaces.com/ionnoj/2010/04/18/14-math-in-the-real-world/#comments</comments>
		<pubDate>Sun, 18 Apr 2010 19:22:56 +0000</pubDate>
		<dc:creator>ionnoj</dc:creator>
				<category><![CDATA[Class News]]></category>

		<guid isPermaLink="false">http://weblogs.pbspaces.com/ionnoj/?p=564</guid>
		<description><![CDATA[ Think of the ideal job for you when you grow up. Now think of reasons why this would be a good job for you. Explain how you would need to use math in this job and explain why this is your ideal job.
Danny P
One job which I could grow up to be is probably [...]]]></description>
			<content:encoded><![CDATA[<p><a href="http://weblogs.pbspaces.com/ionnoj/files/2010/04/102216630_a0cd5636ce.jpg"><img class="alignleft size-medium wp-image-604" style="border: 4px solid black;margin: 7px" title="102216630_a0cd5636ce" src="http://weblogs.pbspaces.com/ionnoj/files/2010/04/102216630_a0cd5636ce-300x200.jpg" alt="" width="210" height="140" /></a> <em>Think of the ideal job for you when you grow up. Now think of reasons why this would be a good job for you. Explain how you would need to use math in this job and explain why this is your ideal job.</em></p>
<p style="text-align: center">Danny P</p>
<p>One job which I could grow up to be is probably and architect. It involves graphs,  balance, and physics. Designs, manufacturing, and physics all packed  together into one great job.</p>
<p>Designing a building  needs to have coordinate graphs or it might be  off balance. Also you need graphs if you are going for a record. For  example, bar graphs and histograms will help to compare the  other records. Also the same with Line plots and line graphs</p>
<p>Balance is everything in  architecture. One off place piece  of ply-wood and someone will be shouting from the street, &#8220;Timber.&#8221;  Plus people will want to be assured that the building  won’t tip or shake when  people or working hard or trying to enjoy lunch.</p>
<p>Graphing will help  with the balance and designing. Making it even out so it will look good  and help with weird loopy designs. The  balance would be perfect with all the care put into it. Everyone will  know you. Also you will be asked to design more buildings.</p>
<p>Architects make lots of money  from just designing historical monuments like the monument The  Washington Memorial. Designing, graphing, and balancing are the architect’s only jobs. It&#8217;s so  easy. Plus they het famous, names on the building, and being known are  all you can ask no matter what the job.</p>
<p style="text-align: center">Shayla</p>
<p><a href="http://weblogs.pbspaces.com/ionnoj/files/2010/04/2882803416_86c66ba8e9.jpg"><img class="alignleft size-medium wp-image-612" style="border: 4px solid blue;margin: 7px" title="2882803416_86c66ba8e9" src="http://weblogs.pbspaces.com/ionnoj/files/2010/04/2882803416_86c66ba8e9-300x274.jpg" alt="" width="210" height="192" /></a>I would say my ideal job is to be an equine vet. For as long as  I  can remember that’s the job I’ve always wanted. I grew up around   horses, but I never owned any.</p>
<p>This job is definitely ideal for me  because I love horses! I’ve also  always loved to take care of animals.  When I was in 1<sup>st</sup> grade I used to play  vet with my cat Sprinkles; it always made me feel  good inside. I also  remember a year or two ago when I went to the vet  with my grandma, the  vet let me give one of her dogs a shot, I felt  very helpful.</p>
<p>Math is involved in this job because you  have to know the amount of  pills to give an animal and how many  teaspoons of medicine to give an  animal. If you didn’t have the right  amount the animal could get sicker  or may not get better at all. You  also need to know conversions if you  travel around the world to help  animals.</p>
<p>In this career, you also have to use math to figure out the  cost of  your services. If you don’t charge enough you won’t make a good  enough  profit. On the other hand, if you charge too much people won’t  take  their pets to see you anymore. If you don’t make enough of a profit  you  won’t be able to keep running your business. At the end of the day,   you need to know how much money you made so you can pay your bills and   buy more supplies.</p>
<p>I never really thought of how much math is involved in this job   until now. This job is hard work, but I know I can handle it! It’s also   a very good thing that I have an A in math!</p>
<p>Did you know  that  inventors use math everyday?  Inventors  don’t just slap some things  together and make something.   That only  half of it!  After they make  something, they have  to use math to make a profit.  Also, this  will be  great because I love inventing. So three  things I will  do is calculate how much the materials will cost, how  much I am going  to buy and figure out my profit.</p>
<p>To start  off, I have always enjoyed  inventing.  It is  exhilarating.  Inventing requires someone to think   outside the box and I have always exhibited those abilities.   One time  when I was  just seven years old, I created an awesome sandwich and my  Dad told I  should be an inventor.  That’s when  my interest in inventing  first entered my mind.  But believe  it or not, you have to use  math.  One of the  first things you do after you invent something is  find out the cost of  the materials you need.  So let us just say,  its twenty dollars  and fourteen cents for the plastic and five dollars  and sixty seven  cents for the wire, then you simply add them together  and that’s where  the math comes in.</p>
<p>Secondly, I  enjoy inventing because it  is satisfying to know I am making human  lives a little easier or  entertaining for my buyers.   For  example, Alexander Graham  Bell  invented the  telephone and  made a lot of people’s lives  easier by being  able to communicate better than ever. So I hope that  one day I will be  able to create something like Graham Bells. Today  almost every kid has a  phone In America. So as an inventor you need to  know how much of your  product you’re going to  buy. If you think you’ve got an  invention bigger than Graham Bells than  get a lot of your product. Let’s say you’re getting one  hundred  fifty of your product. Take the sum of twenty dollars fourteen  cents and  five dollars sixty cents and times it by one hundred fifty.  Then you’ll  get how much all of these costs.</p>
<p>Last but not  least I  love inventing because of the money you can possibly get. But  as an  inventor you’re not going to get fifty dollars if the item you’re   selling is fifty dollars. If you think that then you’re crazy. If the   total cost of the materials you need for your item is fifty dollars you   would logically sell you’re item for about eighty five dollars. But if   you’re taxes are three thousand five hundred dollars a month you’d  need  to sell quite a bit of you’re invention. Also the store makes  money  every time someone buys you’re item which everything a lot harder  on  you. So obviously you would definitely have to think things out.</p>
<p>So there you  have it,  to be a good inventor you have to know how to calculate how  much the  materials cost, how much I’m going to  buy and how  much I am going to make. When I grow up I am going to be an  inventor who  knows how to do his math!</p>
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		<title>#5 Math Games by Katie</title>
		<link>http://weblogs.pbspaces.com/ionnoj/2010/04/17/5/</link>
		<comments>http://weblogs.pbspaces.com/ionnoj/2010/04/17/5/#comments</comments>
		<pubDate>Sat, 17 Apr 2010 18:32:58 +0000</pubDate>
		<dc:creator>ionnoj</dc:creator>
				<category><![CDATA[Blog]]></category>
		<category><![CDATA[Essays]]></category>
		<category><![CDATA[Essay]]></category>

		<guid isPermaLink="false">http://weblogs.pbspaces.com/ionnoj/?p=566</guid>
		<description><![CDATA[  Sam D
Persuade your math teacher to set aside one day  a month for  math games. 
Imagine one day a month when everything  was perfect. 69% of my  friends agree that one day a month of math games  would be a good idea.  Math games are great because they [...]]]></description>
			<content:encoded><![CDATA[<p style="text-align: left"><a href="http://weblogs.pbspaces.com/ionnoj/files/2010/04/Pi.jpg"> </a><a href="http://weblogs.pbspaces.com/ionnoj/files/2010/04/4354867825_9ddf06dd92.jpg"><img class="alignleft size-medium wp-image-593" style="border: 4px solid turquoise;margin: 7px" title="4354867825_9ddf06dd92" src="http://weblogs.pbspaces.com/ionnoj/files/2010/04/4354867825_9ddf06dd92-225x300.jpg" alt="" width="144" height="192" /></a> Sam D</p>
<p style="text-align: left"><em>Persuade your math teacher to set aside one day  a month for  math games. </em></p>
<p style="text-align: left">Imagine one day a month when everything  was perfect. 69% of my  friends agree that one day a month of math games  would be a good idea.  Math games are great because they are  fun to play, they keep students  busy, and math games are  educational.</p>
<p style="text-align: left">To start off with, math games are fun to play. It is one of the many  ways to  hang out with friends. In my opinion, games like” Sorry” are  not enjoyable.  To exemplify, while playing “Sorry” you could be 2spaces  away from  finishing and someone could knock you off, you would have to  start all over again.</p>
<p style="text-align: left">With  math games wins are almost always locked  in. Math games are like fair rides.   Math games are not like roller   coasters that are unpredictable, yet they are still entertaining.</p>
<p style="text-align: left">I  invite you to  plunge into the fun.  More over, the games keep students busy. Don’t you hate it when the  class  starts to daydream? Their plates are completely empty.</p>
<p style="text-align: left">Math games  are a great  way to keep their plates full. Math games are grand way to  occupy the mind. To  win a math game you have to be attentive. ¾ of the  students I asked thought math  games are a superior way to keep the  students aware in class. I beseech  you to keep our minds engaged.  After all, math games are educational.  While trying to win, students  actually learn.</p>
<p style="text-align: left">Math  games are magical. You learn without even  noticing. Most students never  detect the gears spinning in their  brains. The reason that no one  distinguishes the knowledge being gained  is because there isn’t as much stress to  learn a subject. I am  imploring with you to let us learning alternative ways.</p>
<p style="text-align: left">In summation, you  should have a day for math games once each month  because  they are amusing, they pre-occupy the mind, and they’re  enlightening. Why  not try today?</p>
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		<title>#20 This is how it is done by Grayson H &amp; Courtney</title>
		<link>http://weblogs.pbspaces.com/ionnoj/2010/04/11/29-this-is-how-it-is-done-by-grayson-h/</link>
		<comments>http://weblogs.pbspaces.com/ionnoj/2010/04/11/29-this-is-how-it-is-done-by-grayson-h/#comments</comments>
		<pubDate>Sun, 11 Apr 2010 23:45:01 +0000</pubDate>
		<dc:creator>ionnoj</dc:creator>
				<category><![CDATA[Blog]]></category>
		<category><![CDATA[Essays]]></category>
		<category><![CDATA[Essay]]></category>

		<guid isPermaLink="false">http://weblogs.pbspaces.com/ionnoj/?p=567</guid>
		<description><![CDATA[Select one of the math problems completed for  homework.    Explain to a classmate who got the answer wrong how you  computed your   answer.
Grayson
The question I  selected is: 43=15b-17. The question  involves variables and this is one of my favorite topics in mathematics.  It is a piece of [...]]]></description>
			<content:encoded><![CDATA[<p><a href="http://weblogs.pbspaces.com/ionnoj/files/2010/04/jpg"><img class="alignleft size-medium wp-image-588" style="border: 3px solid black;margin: 7px" title="=" src="http://weblogs.pbspaces.com/ionnoj/files/2010/04/jpg-253x300.jpg" alt="" width="142" height="168" /></a>Select one of the math problems completed for  homework.    Explain to a classmate who got the answer wrong how you  computed your   answer.</p>
<p style="text-align: center">Grayson</p>
<p>The question I  selected is: 43=15b-17. The question  involves variables and this is one of my favorite topics in mathematics.  It is a piece of  cake once you understand the steps needed to solve the problem.</p>
<p>About the problem, I will dissect what the question uses, to  easily evaluate the problem.</p>
<p>A variable is a letter representing  an unknown number.  The point of a variable is usually to figure out the value of the  variable. For example, I will choose 5+X=9.  The problem can be  solved by subtracting 5 from 9 to get 4. The answer to this variable (X) = 4.</p>
<p style="text-align: center">In this specific question, the equation has both negative and  positive numbers.  When you add positives and negatives,     such as 4-7, the question is really asking 4+ (-7) which equals -3.            Now,  bring it all together,  using the following steps:                        43 = 15b +  (17)</p>
<p>Step I: write the problem correctly 43=15b+ (-17)             Add seventeen to both sides of the equation</p>
<p style="text-align: left">+ 17             +17            43+17=60, (-17) +  17=0,  60=15b</p>
<p>Step II: add                                            60/15 =  15b/15       Divide 60 by fifteen, divide 15b by 15</p>
<p>Step III: solve/divide                                   4 = b                   Solve 60 divided by 15 is 4, 15b divided by 15 is b,  4=b</p>
<p>Conclusion: The answer to this problem  is 4.</p>
<p>By using the steps 1 through 5, you can  correctly solve the problem of 43=15b-17.</p>
<p>Courtney  O</p>
<p>To reduce  to lowest terms, you have to find the  greatest common  factor of 50 and 300.</p>
<p>First, you’d choose ten because both numbers end in a zero.   Ten  goes into 50 five times, and it goes into 300 thirty times.  So,  you’d  get 5 and 30, which still have common factors.</p>
<p>Then, you’d choose 5 because both numbers end in a five or a  zero.   Five goes into 5 once, and it goes into 30 six times.  So, you’d  get 1  and 6.  They have no common factors so you can’t do anything else.</p>
<p>You’d take 1 and 6, and since they were the numbers you ended  with,  you’d make them into, which is  reduced to lowest terms.</p>
<p>÷ 10=                  ÷ 5=</p>
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		<title>#11: Is Math Important? by Mila, Raisa &amp; Brandon</title>
		<link>http://weblogs.pbspaces.com/ionnoj/2010/04/11/11-is-math-important-by-mila-raisa/</link>
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		<pubDate>Sun, 11 Apr 2010 20:58:59 +0000</pubDate>
		<dc:creator>ionnoj</dc:creator>
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		<guid isPermaLink="false">http://weblogs.pbspaces.com/ionnoj/?p=534</guid>
		<description><![CDATA[Mila
7&#215;2=14,  yes we can all agree it’s easy,  maybe too easy for some. Just the other day my friend told me she was  tired of math, it was too easy, and that she didn’t care about it  anymore.
She also wanted to work at the mall as a cashier, so I told [...]]]></description>
			<content:encoded><![CDATA[<p><a href="http://weblogs.pbspaces.com/ionnoj/files/2010/04/cash-register2.jpg"><img class="alignleft size-medium wp-image-575" style="border: 4px solid orange;margin: 7px" title="cash register2" src="http://weblogs.pbspaces.com/ionnoj/files/2010/04/cash-register2-300x258.jpg" alt="" width="154" height="132" /></a>Mila</p>
<p>7&#215;2=14,  yes we can all agree it’s easy,  maybe too easy for some. Just the other day my friend told me she was  tired of math, it was too easy, and that she didn’t care about it  anymore.</p>
<p>She also wanted to work at the mall as a cashier, so I told  her, “if you’re going to work at the mall, you’re going to work as a  cashier, now how are you supposed to give you’re customer the right  amount of change back if you don’t know math?” so she said she would  work somewhere else.</p>
<p>Little did she know, all jobs have something to do  with math!  Of course, here she was trying to prove me wrong, but job  after job she still couldn’t find one that didn’t involve math. “A  zookeeper, a vet, a taxi driver, a designer?”  “No,  no, no and NO!” now I could see she was becoming desperate. By now,  after her being my friend for 7 years, she should know you can’t win an  argument with me if I knew I was right!  So finally she gave up trying  and accepted the fact that she needs math in her life and I could always  help her find a way to make it easier and more fun for us both.</p>
<p>Finally  she agreed and now loves it and makes the best out of it, and will for  the rest of her life.</p>
<p style="text-align: center">Raisa</p>
<p><a href="http://weblogs.pbspaces.com/ionnoj/files/2010/04/jobs.jpg"><img class="alignleft size-medium wp-image-576" style="border: 4px solid red;margin: 7px" title="jobs" src="http://weblogs.pbspaces.com/ionnoj/files/2010/04/jobs-253x300.jpg" alt="" width="124" height="147" /></a>We all know that  math can be a pain, but math is important to learn. Math is used for  everything and when I mean &#8220;everything&#8221;, I literally mean EVERYTHING!  Math is used for different types of jobs, daily life, and surprisingly  math is also used in technology.<br />
To start off, the  many different concepts of math are used for different types of careers.  Careers that include math are accounting, architecture, and engineering, geology, managing,  and carpentering.</p>
<p>Accountants use mathematics formulas to work on taxes.  Engineers use measurements and calculus. Geologists use mathematics models.</p>
<p>Managers keep track of schedules which  include timing and they also have to analyze on graphs. Carpenters  also use measurements, volume, and distance. These are just the few of  the jobs, or careers that include math.<br />
Did you know that our  daily life includes math as well? When we go shopping we have to  calculate all of our items’ prices to receive a total. Also when  we cook we make sure we have accurate measurements for each type of  ingredient. When we go on vacation we use math by determining arrival  and departure times.<br />
Technology is also involved with math. Technology includes math concepts such  as ordered pairs and measurements. It also includes geometry. I bet  there are many other concepts in technology, but these are just a few.<br />
All in all, math is  important to learn because it is used in jobs, daily life, and  technology. There are just so many things that include math, but these  are just a couple of them</p>
<p><em>(Photo Credit must go to Deanna Lowe @ Fortune magazine and the photographer   (Corbis) of the original photo in which this mosaic is based.)</em></p>
<p style="text-align: center">Brandon<em><br />
</em></p>
<p><a href="http://weblogs.pbspaces.com/ionnoj/files/2010/04/recipe.jpg"><img class="alignleft size-medium wp-image-582" style="border: 4px solid green;margin: 7px" title="recipe" src="http://weblogs.pbspaces.com/ionnoj/files/2010/04/recipe-293x300.jpg" alt="" width="164" height="168" /></a>It is important to learn math because  everywhere you turn you’re  using math! You use math in building,  cooking, &amp; playing. If you  ever go bowling, look at the ball, it is a  sphere. A sphere is a shape  used in geometry, and geometry is a form of  math. Now if you look at  the pins, what shape are they, you can make up  your own shape if you  would like!</p>
<p>First, when you build you have to use  calculations to measure out  the length of the boards you are going to  use. You will measure &amp;  order the boards. Also when you order the  pieces you need to calculate  how much money you need + tax! It is easy  addition or subtraction. Hey  aren’t those used in MATH!!!</p>
<p>Now, second of all, when you cook you  have to measure the amount of  ingredients. Without math, if you tried to  make delicious chocolate  chip cookies you might use too much, or too  little flour! That probably  wouldn’t work out to well. You could end up  with Godzilla cookies!!!!  That’s another reason why math is important!</p>
<p>My favorite sport to play is hockey!  In hockey the puck looks like a  flattened cylinder. A cylinder is  another geometric shape! Geometry  (repeated again) is a method used in  math for shapes. That’s how  playing and having fun has to do with math,  so next time when you play  or have fun look for math!!</p>
<p>As you may have noticed, I’ve listed  examples of where you might  spot math. Look in specific areas like cooking, playing, or  even  building! If you’re bored or have nothing to do, try thinking of  some  other areas where math is used. For me, I really don’t like math.  But I  better start liking it because I’m going to be using it for the  rest  of my life!!!</p>
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		<title>#21 Mathematical Symbols by Emmanuel, Daniella &amp; Kathleen</title>
		<link>http://weblogs.pbspaces.com/ionnoj/2010/03/14/21-mathematical-symbols-by-emmanuel-daniella-kathleen/</link>
		<comments>http://weblogs.pbspaces.com/ionnoj/2010/03/14/21-mathematical-symbols-by-emmanuel-daniella-kathleen/#comments</comments>
		<pubDate>Mon, 15 Mar 2010 01:06:04 +0000</pubDate>
		<dc:creator>ionnoj</dc:creator>
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		<description><![CDATA[ You are a mathematical symbol. (+, =, pi, x, , etc.) Introduce  yourself to a young child, explaining what your life is like, why you  are important and how you deal with other symbols in your mathematical  world.
Emmanuel S.
“Who are you?” asked the young  boy.
“I am a very important mathematical symbol,” [...]]]></description>
			<content:encoded><![CDATA[<p><a href="http://weblogs.pbspaces.com/ionnoj/files/2010/03/3992410003_59ca3688fe.jpg"><img class="size-full wp-image-524 alignleft" style="border: 5px solid red;margin: 7px" title="Numbers" src="http://weblogs.pbspaces.com/ionnoj/files/2010/03/3992410003_59ca3688fe.jpg" alt="" width="202" height="240" /></a> You are a mathematical symbol. (+, =, pi, x, , etc.) Introduce  yourself to a young child, explaining what your life is like, why you  are important and how you deal with other symbols in your mathematical  world.</p>
<p style="text-align: center">Emmanuel S.</p>
<p>“Who are you?” asked the young  boy.</p>
<p>“I am a very important mathematical symbol,” I  responded.  “I am the symbol of addition called the plus sign.”</p>
<p>“What do you do?” the child asked me.</p>
<p>I responded  with much openness “I add numbers together to intentionally make them  larger.  But they sometimes get smaller because of the subtraction sign  minus, and…”</p>
<p>“Who is this so called minus sign?”</p>
<p>“I was  just about to tell you that.”</p>
<p>“To me minus is a very  sinister symbol.  Many times when I am adding equations minus barges in  and kicks me out making all the numbers much smaller.  Other times he  brings in many of his loyal brothers, turning all the numbers in the  equation into negative numbers.  Occasionally my best friend the  multiplication symbol is around and goes in between the negative numbers  and turns all of them into positive numbers at the end of the equation,  he…”</p>
<p>“Who is he?” interrupted the boy.</p>
<p>“The  multiplication sign is also called times.  We both have a lot in  common, obviously we both like making things larger.  Times does a  different form of my job when making the same number bigger.  When it  comes to making different numbers bigger that’s where my job takes  place.  Times and I both despise division very much.  Before you  interrupt me again I’ll tell you who he is.”</p>
<p>“Division  is almost as irritating as minus.  He always splits the numbers into  halves, 3rds, 4ths, 5ths, and so on.  His appearance is similar to  minus’s.”</p>
<p>“What does he look like?” the child asked  curiously</p>
<p>“He is a horizontal line with one dot above it and one  dot under it.” I explained, “I also know some one named pi but he is  infinite and the conversation on pi is really not worth it.”</p>
<p>“In the future you will probably have to use these symbols.” I  said,“I’ve never thought of that before.” The boy said, “I used to think  they were just dull things we were forced to learn in school.”</p>
<p>“Dull?” I yelled in a puzzled way “Mathematics is one of the  greatest things to learn.  But I don’t think you would be interested in  that.”</p>
<p style="text-align: center"><a href="http://weblogs.pbspaces.com/ionnoj/files/2010/03/334628259_ea0fe88aed.jpg"><img class="alignleft size-medium wp-image-525" style="border: 5px solid grey;margin: 7px" title="334628259_ea0fe88aed" src="http://weblogs.pbspaces.com/ionnoj/files/2010/03/334628259_ea0fe88aed-200x300.jpg" alt="" width="180" height="270" /></a>Daniella L</p>
<p>Hello! This is the mathematical sign here, and I want you to guess who I am. Dot, Line and another dot… That’s right, it’s me the division sign! And I am a very important sign. With out me you wouldn&#8217;t have number to divide by anyway. To start off, I’m very intelligent sign kiddo! I help you divide the number and make it easier. Unlike my selfish brother who always keep thinking about himself and <span style="text-decoration: underline">NOT</span> others.</p>
<p>He just multiplies numbers until they get larger and larger for him. I just hate him, I wish I never had him for brother. He always keeps showing off that the numbers he multiplies are very, very easy for him. And leaves me stranded with the hard work of dividing big numbers like 3445 and 236 and etc. But I have better family members than that double head! For example I have aunt addition, she is always being nice to me, she has this saying that she always says its “always add and you’ll forget about your problems, dearie.” it’s supposed to be funny but I don’t get it at all. My brother is sometimes good and sometimes annoying but once, he showed me how to multiply numbers in a very easy way that’s how I got to be very intelligent.</p>
<p>I don’t mean to brag but I really want to show you. Ready or not here it is! So you have number let’s say that is 7. So 7 here is going to add itself to himself as many times with a number that number can be 3. so you are going to add 7 three times and you get your answer. Just kidding, that was the lame and long way to find the answer, this is the right way, 7&#215;3=21 that was easy! Duh!</p>
<p>I am important because I have matters, my matters are that if it weren’t for me you wouldn’t have good buildings, right now you are probably wondering what on earth does division has to do with buildings well, if you didn’t have a division sign like me, you would’nt be able to find out what the circumference or the radius out of a diameter of the circle was you may or may not know what a circumference, radius or a diameter is yet but I don’t want to get any further.</p>
<p>Last but not least, My mathematics world may have annoying signs in it (my brother) but I like my world, its where I belong, I like being intelligent and good in doing division. My mom the denominator, and my dad the decimal, I love them all! I’m just this jumpy and happy division sign who loves division!!!!!!!!!</p>
<p style="text-align: center">Kathleen M</p>
<p><a href="http://weblogs.pbspaces.com/ionnoj/files/2010/03/3240491899_a630f71810.jpg"><img class="alignleft size-full wp-image-527" style="border: 5px solid green;margin: 7px" title="3240491899_a630f71810" src="http://weblogs.pbspaces.com/ionnoj/files/2010/03/3240491899_a630f71810.jpg" alt="" width="210" height="210" /></a>Meet Bob. He teaches babies how to use mathematical symbols. Today, he’s going to teach Caroline how to use +. “Hi banana!” says Caroline.</p>
<p>Even though Caroline is only 1 year old, Bob thinks she&#8217;ll figure it out eventually. “Now, lets begin!” says Bob. “Caroline, this is a + sign. It tells you that you need add. Do you know what that means?” “Ball” says Caroline. &#8220;Okay, I&#8217;ll take that as a no, so I guess we&#8217;ll have to start from the basics.” Says Bob. “Caroline, to add means to put numbers together to make a new number. See:&#8221;</p>
<p style="text-align: center">3 + 4 = 7</p>
<p>&#8220;Ha!&#8221; shouts Caroline. &#8220;I think she gets it!” says Bob. “Now, Caroline, here&#8217;s where + comes in. It&#8217;s the little sign between the 3 and the 4. It tells you to add&#8230;&#8221;</p>
<p>&#8220;I do!&#8221; says Caroline. &#8221;Okay, you try then!” Says Bob. “But just so you know, it’s rude to interrupt.&#8221; &#8220;I DO!&#8221; screams Caroline.</p>
<p style="text-align: center">3</p>
<p>&#8220;Um…” Caroline thought for a minute.</p>
<p style="text-align: center">3 + 4 = 127639</p>
<p>&#8220;No, I don&#8217;t think so.” Says Bob. “Try again.” “Ugh!” Caroline was frustrated. She picked a random number.</p>
<p style="text-align: center">3 + 4 = 7</p>
<p>&#8221; ALL DONE! All done! All done! ALL DONE!” yelled Caroline. She was bored, and ready for a nap. &#8220;Okay, what did I tell you?&#8221; Says Bob. “She now not only knows how to use +, but to add as well! Now I think she&#8217;s getting a little annoyed with us, so lets leave.” He was right. Caroline reached for the nearest thing she could find (a bunch of bananas) and threw it as hard as she could. “Hey!” shouted Bob. “Stop throwing bananas at us! RUN!”</p>
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		<title>#23 Music and Math by Autumn and Rudo</title>
		<link>http://weblogs.pbspaces.com/ionnoj/2010/03/14/21-music-and-math-by-autumn-and-rudo/</link>
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		<pubDate>Mon, 15 Mar 2010 00:25:20 +0000</pubDate>
		<dc:creator>ionnoj</dc:creator>
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		<description><![CDATA[
How are Music and Math related?
Rudo

Math and Music are actually really similar if you think about it. When you are playing music you have to read the right note length, and when you are doing math you have to solve a question using the right numbers. So in Music there are these things called measures, [...]]]></description>
			<content:encoded><![CDATA[<p><span style="text-decoration: underline"><a href="http://weblogs.pbspaces.com/ionnoj/files/2010/03/notes21.jpg"><img class="size-medium wp-image-518 alignleft" style="border: 3px solid red;margin: 7px" title="notes2" src="http://weblogs.pbspaces.com/ionnoj/files/2010/03/notes21-300x140.jpg" alt="" width="300" height="140" /></a></span></p>
<p style="text-align: center"><span style="text-decoration: underline">How are Music and Math related?</span></p>
<p style="text-align: center"><span style="text-decoration: underline">Rudo<br />
</span></p>
<p>Math and Music are actually really similar if you think about it. When you are playing music you have to read the right note length, and when you are doing math you have to solve a question using the right numbers. So in Music there are these things called measures, basically sections divided in a song. In each measure there is a beat. Each beat counts as a different number which has to equal the number of beats shown on the time signature, a symbol shown at the beginning of a song. On a time signature are two numbers, the top of the time signature is how many beats are in a measure, and on the bottom tells you which kind of note receives one count. For example in 4/4 time a whole note equals 4 beats and there are 4 beats in a measure.</p>
<p>Now not all notes are whole there are half notes, quarter notes, eighth notes, 16th notes, and on and on and on. So on the example shown above if a whole note equals 4 beats then half notes equals 2 beats, and a quarter notes equals 1 beat, and an eighth note equals ½ beat, etc. Now if the time signature is 4/4 and every note is an eighth note in that measure that means there can be up to eight notes in that measure, if there is 2 quarter notes and one half note that will take up one whole measure.</p>
<p style="text-align: left">Right now I’m not going to go into to much detail because there is an infinite amount of time signatures like 3/4 time, 2/4, 2/5 time, 3/5 time etc. But remember that behind music there is mathematics.</p>
<p style="text-align: center">
<p><a href="http://weblogs.pbspaces.com/ionnoj/files/2010/03/notes.jpg"><img class="size-medium wp-image-519 alignleft" style="border: 3px solid black;margin: 7px" title="notes" src="http://weblogs.pbspaces.com/ionnoj/files/2010/03/notes-300x215.jpg" alt="" width="300" height="215" /></a></p>
<p style="text-align: center">Autumn</p>
<p>Music is related to math in many ways. With different notes such as eighth notes, whole notes, quarter notes, and half notes etc. Different notes equal different counts. In every measure there is often four counts. Also in some songs you have to write in the counting. But in the end, each measure should have two to four beats.<br />
With eighth notes the counting starts with 1and ends with +, so at the end of the measure the counting would be 1+ 2 3 4. Or it could be 1 2 3+ 4. It could be any numbers. Sometimes you have dotted half notes that get 3 beats. And dotted quarter notes get 2.5 a beats.</p>
<p>Music is related to math because there is a lot of counting involved. When you have to clap the counting, the different notes and rests tell you how long to hold the note. It seems hard at first, but it really isn’t. It’s probably the easiest thing in music or band.<br />
Music is related to math in so many other ways! I just can’t think of them. But the counts and beats are very important. And that is how math is related to music.</p>
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		<title>World Math Day</title>
		<link>http://weblogs.pbspaces.com/ionnoj/2010/03/04/world-math-day/</link>
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		<pubDate>Fri, 05 Mar 2010 01:09:07 +0000</pubDate>
		<dc:creator>ionnoj</dc:creator>
				<category><![CDATA[Class News]]></category>

		<guid isPermaLink="false">http://weblogs.pbspaces.com/ionnoj/?p=506</guid>
		<description><![CDATA[On Wednesday my students had a great time competing in the yearly event called World Math Day. My classes started practicing the beginning of February in preparation for this event. They played at home and at school against other students around the world in live games of mental arithmetic. Each game lasted for 60 seconds [...]]]></description>
			<content:encoded><![CDATA[<p style="text-align: center"><a href="http://weblogs.pbspaces.com/ionnoj/files/2010/03/wmd10_img3_math.jpg"><img class="size-medium wp-image-508 aligncenter" style="border: 3px solid red;margin-top: 7px;margin-bottom: 7px" title="wmd10_img3_math" src="http://weblogs.pbspaces.com/ionnoj/files/2010/03/wmd10_img3_math-300x300.jpg" alt="" width="300" height="300" /></a>On Wednesday my students had a great time competing in the yearly event called World Math Day. My classes started practicing the beginning of February in preparation for this event. They played at home and at school against other students around the world in live games of mental arithmetic. Each game lasted for 60 seconds earning points for each correct answer.</p>
<p>The Guinness Book of World Records challenged math students from all over the world to see if more than 1 million students could help unite the world in numbers within the 48 hours of the event..  It only took 1 hour to pass the 1 million-student mark.</p>
<p>For today’s event I made arrangements to take all classes to the computer lab.  The day began slowly with some technical difficulties but by 4<sup>th</sup> hour we were full steam ahead and the kids loved it.  I even had the students that were absent compete from their home computer.  Before the day was over it was reported that because of the problems experienced earlier in the day, the event would be extended an additional 12 hours.  The kids were thrilled and they left for the day anxious to get home and continue competing.</p>
<p>When the event ended for us on Thursday at 6 PM EST. 1,133,246 students and 56,082 schools from 235 countries united to set a new world record by correctly answering 479,732,613 questions.</p>
<p>We had 115 students participating from my 5 classes completing 46,836 correct answers.</p>
<h2 style="text-align: center"><strong>Overall High Score for Practice</strong></h2>
<ol>
<li> Allison W.                          3,035</li>
<li>Emma L.                             1,801</li>
<li>Colby B.                             1,335</li>
<li>Rachel Z.                            1,270</li>
<li>Anthony C.                         1,029</li>
<li>Garrett E.                              821</li>
<li>Daniel S.                                556</li>
<li>William W.                           514</li>
<li>Zayna G.                               464</li>
<li>Ari D.                                      438</li>
</ol>
<h2 style="text-align: center"><strong>Overall High Score for Event</strong></h2>
<p style="text-align: center">
<ol>
<li>Grayson H.                            3515</li>
<li>Anthony C.                            1,772</li>
<li>Rudo M                                  1,734</li>
<li>Cynthia L.                              1,678</li>
<li>Emma L.                                  1,672</li>
<li>Jonathan S.                          1,589</li>
<li>Rachel Z.                                 1,299</li>
<li>Ashley M.                               1,292</li>
<li>Travis M.                               1,022</li>
<li>Emmanuel S.                             979</li>
</ol>
<p style="text-align: center">
<p>2011 will be even bigger with World Maths Day becoming part of the World Education Games which will include events not only for Math but also Science and Spelling..</p>
<p>Everyone is invited to unite the world in learning! See you in 2011.</p>
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		<title>#13 The wonderful ways of ratios by Mariano Q.</title>
		<link>http://weblogs.pbspaces.com/ionnoj/2010/02/28/13-the-wonderful-ways-of-ratios-by-mariano-q/</link>
		<comments>http://weblogs.pbspaces.com/ionnoj/2010/02/28/13-the-wonderful-ways-of-ratios-by-mariano-q/#comments</comments>
		<pubDate>Sun, 28 Feb 2010 23:58:37 +0000</pubDate>
		<dc:creator>ionnoj</dc:creator>
				<category><![CDATA[Class News]]></category>

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		<description><![CDATA[We are learning all the time. Some of our learning takes place in school and some outside of school. Write about something you have learned in math recently and how it has affected you.
Mariano

Math is a very fun and challenging concept that teaches you skills necessary now and in the future. You learn new math [...]]]></description>
			<content:encoded><![CDATA[<p><a href="http://weblogs.pbspaces.com/ionnoj/files/2010/02/3596916795_0becf558d7.jpg"><img class="size-thumbnail wp-image-502 alignleft" style="border: 3px solid black;margin: 7px" title="3596916795_0becf558d7" src="http://weblogs.pbspaces.com/ionnoj/files/2010/02/3596916795_0becf558d7-150x150.jpg" alt="" width="150" height="150" /></a><em><strong>We are learning all the time. Some of our learning takes place in school and some outside of school. Write about something you have learned in math recently and how it has affected you.</strong></em></p>
<p style="text-align: center">Mariano<em><strong><br />
</strong></em></p>
<p>Math is a very fun and challenging concept that teaches you skills necessary now and in the future. You learn new math skills almost every day. I have recently learned about ratios. Ratios are a very big part of algebra. They support certain equations and make doing math a whole lot easier.</p>
<p>For example, ratios are most likely used in the store when you try to decide what item has a better price. Lets say you have a choice of buying a 16-ounce bag of candy for $2.99 or a 20-ounce bag of candy for $3.09. To find the better price, ratios create the equation. 16/2.99 as 20/3.09 then you divide. So for a 16-ounce bag, 1 ounce costs 19 cents. And for a 20-ounce bag, 1 ounce costs 15 cents. It pays off to buy a 20-ounce bag of candy rather than a 16-ounce bag. These types of ratios can also be used for determining which bank has a higher interest rate, or even deciding on which size (small, medium, large) of beverage cup to get at a fast food restaurant.</p>
<p>Ratios can be expressed in many ways. Lets deal with two certain numbers: 20 and 100. You can write them in these ways; 20 : 100, 20 is to 100, 20/100 and they all still mean the same thing.</p>
<p>On a recent homework assignment, Lesson 10-6: Similar Figures, ratios were used to express measurements of the similar figures. The image below shows two similar triangles.</p>
<p><a href="http://weblogs.pbspaces.com/ionnoj/files/2010/02/ratio.jpg"><img class="aligncenter size-thumbnail wp-image-500" title="ratio" src="http://weblogs.pbspaces.com/ionnoj/files/2010/02/ratio-150x150.jpg" alt="" width="150" height="150" /></a></p>
<p>In order to find x cm, we relate the same sides of the two different triangles 4/2 as 9/x and find the cross products.</p>
<ul>
<li>2(9) = 4x</li>
<li>18    =  4x</li>
<li>Divide both sides by 4 and get:</li>
<li>4.5   =  x</li>
</ul>
<p>However, don’t forget writing ratios in simplest form. Lets go back to the numbers 20 and 100. When we write a ratio, you usually have to put it in simplest form. As you may know, 20/100 = 1/5 in both fractional and rational form. You may sometimes see ratios as 20 : 100. Just take an extra step and change it to a fraction and simplify.</p>
<p>There are many more methods involving ratios that we have not yet learned. Some methods may seem hard to you, but as you get more experience, you will soon find what you once thought of as hard will be a piece of cake.</p>
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