I knew you guys could do it. I'm seeing some "community" being built here. The comments are awesome - it's great when we compliment and respond to each other in positive ways. Remember it's OK to also add to the conversation if you feel that you have comments/information to add. Keep things math-related, of course.
I was encouraged when I checked my box this morning and saw so many messages. We're headed down the right road now....keep it up!!
Wednesday, November 29, 2006
Tuesday, November 28, 2006
Percentages The Real Deal
Hello my friends! I am the real Chuck Norris...Chuck Norris 101. Anyways I am going to talk about percentages. Incase you did not already know, which you now will, the word percentage actually means "per hundred", literally. So every percent is always over 100. Now remember, it is possible to have more than 100 as your numerator, for examlpe, 113/100. Now of coarse your going to want an explanation. Lets say you have an upcoming French test and the total mark of the test is out of 50. There is one bonus question on the test worth 5 marks. Lets say in this case your mark, not including the bonus is 50/50. If you get the bonus correct you will have 55/50. That is more than 100%, that is actually 110%!!! Wow!!! Good job on your French test!!!
Next I will teach you how to reduce a percent to its lowest terms.
ex. 60%= 60/100 now divide both numbers by a common denominator, in this case 2,5 and 10. lets say we reduce/divide the fraction by 10. The fraction is then 6/10 but we are not done yet, ha, thought I forgot to reduce it again, eh! Now we can reduce by 2. That would make the fraction 3/5 and now you have reached its lowest terms.
Now, we know that percent literally means "per hundred". Now think as "of" meaning "multiply". Also with the "/" meaning divide. Using these three terms you will know how to find a percent out of a whole number.
ex. 1. 75% of 40= 30
We know this because 75% is really 75/100. Now we divide 75 into 100. That will give us 0.75. Now multiply 0.75 by 40. That gives us 30.
ex. 2. When it comes to finding a percent out of a fraction, we also use these terms.
2/5=?% First you divide 2 into 5, that gives us 0.4. Then you multiply 0.4 and 100, that gives us 40.
That's right Jimmy more than 100% of your best!!! It is possible!!! Common, where did you learn that, girl scout camp!!!
See, even Bob here got higher
than 100%. It is possible!!!
Next I will teach you how to reduce a percent to its lowest terms.
ex. 60%= 60/100 now divide both numbers by a common denominator, in this case 2,5 and 10. lets say we reduce/divide the fraction by 10. The fraction is then 6/10 but we are not done yet, ha, thought I forgot to reduce it again, eh! Now we can reduce by 2. That would make the fraction 3/5 and now you have reached its lowest terms.
Now, we know that percent literally means "per hundred". Now think as "of" meaning "multiply". Also with the "/" meaning divide. Using these three terms you will know how to find a percent out of a whole number.
ex. 1. 75% of 40= 30
We know this because 75% is really 75/100. Now we divide 75 into 100. That will give us 0.75. Now multiply 0.75 by 40. That gives us 30.
ex. 2. When it comes to finding a percent out of a fraction, we also use these terms.
2/5=?% First you divide 2 into 5, that gives us 0.4. Then you multiply 0.4 and 100, that gives us 40.
That's right Jimmy more than 100% of your best!!! It is possible!!! Common, where did you learn that, girl scout camp!!!
See, even Bob here got higher
than 100%. It is possible!!!
= 4/6 = 2/3 Find the percentage of 2/3.
2 divided by 3, multiply 100 = 67%
"Pizza's here, unfortunately I
ate half of a slice... ok, maybe a little more than half.
Anyways, I hope you liked my post! Most importantly I hope you learned a few things! Like not to trust pizza guy's and of coarse to learn a few things about percentages! Thanks for reading my post and I will see you soon!
CHUCK NORRIS 101 (the real Chuck Norris)
Percentage...and don't you forget it.
Hello everybody!! How are you doing? It is I, Robonorris, which is of course, if you did not know, Robotron mixed with Chuck Norris. Speaking of mixing, here is a quick riddle for you to break the ice. Okay, what do you get when you mix an owl with a bungi chord??... oh yes, I know all of you are dying of anticipation to here the answer, you get a bear. *drumroll*...ouch, tough croud.
Anyway, enough fun and games, it's time to get down to business. Our latest lesson was on the lovely topic of percentage. Per cent literally means 'for every hundred', so it is the means of calculating the number of a certain thing out of a hundred things with similar relations. In many ways, percentages are a lot like ratios, because most of the time they are comparing multiple numbers. Example: You have a collection of 100 marbles, 25 of them are blue. 25% (%=out of 100 or per cent) of your marbles are blue.
Unfortunately, if finding a percent was always just counting up something that had a denominator of 100 everytime, we wouldn't have to be learning this in school. For on almost every occassion, the grand total is not going to be 100. Sometimes there will be less, and sometimes there will be more. Here is where a formula comes in. Here is the best way how to find what the percent is in a part of a whole thing. I will use an example to help. Chuck Norris throws a party, and invites 5 guests. There were five guests and one of him, making a grand total of 6.
Now say that these five guests were in fact pirates!!!! The plot thickens... So we want to find the percentage of Chuck Norris compared to the entire group of people. This is the part where you divide. Take Chuck Norris (1) and divide him by the total amount of people (6) which will get you .16 then to get the percentage, multiply it by 100 to move it over two decimal places. Then place the percent sign (%) infront of the number. Well done! You have just done a percentage equation!!
There is another type of equation, also needing another formula. This is used for things like sales on items. You're out to get this brand new pair of Adolf Dasler (Adidas' full name) shoes costing $79.99 and at the store the little price tag said 40% off on it. Now you're just thinking: "What?!??! I don't know that!" Ah, contrare, after you're through reading this, you will know! The formula for things like this is simple, think of it as: percent x whole = part. So in this case it would be 0.40 x 79.99 = 31.99. So you will get $31.99 off $79.99 making it $48.00. So hopefully now you will be able to do percents. Until next time, Robonorris out.
Anyway, enough fun and games, it's time to get down to business. Our latest lesson was on the lovely topic of percentage. Per cent literally means 'for every hundred', so it is the means of calculating the number of a certain thing out of a hundred things with similar relations. In many ways, percentages are a lot like ratios, because most of the time they are comparing multiple numbers. Example: You have a collection of 100 marbles, 25 of them are blue. 25% (%=out of 100 or per cent) of your marbles are blue.
Unfortunately, if finding a percent was always just counting up something that had a denominator of 100 everytime, we wouldn't have to be learning this in school. For on almost every occassion, the grand total is not going to be 100. Sometimes there will be less, and sometimes there will be more. Here is where a formula comes in. Here is the best way how to find what the percent is in a part of a whole thing. I will use an example to help. Chuck Norris throws a party, and invites 5 guests. There were five guests and one of him, making a grand total of 6.
Now say that these five guests were in fact pirates!!!! The plot thickens... So we want to find the percentage of Chuck Norris compared to the entire group of people. This is the part where you divide. Take Chuck Norris (1) and divide him by the total amount of people (6) which will get you .16 then to get the percentage, multiply it by 100 to move it over two decimal places. Then place the percent sign (%) infront of the number. Well done! You have just done a percentage equation!!
There is another type of equation, also needing another formula. This is used for things like sales on items. You're out to get this brand new pair of Adolf Dasler (Adidas' full name) shoes costing $79.99 and at the store the little price tag said 40% off on it. Now you're just thinking: "What?!??! I don't know that!" Ah, contrare, after you're through reading this, you will know! The formula for things like this is simple, think of it as: percent x whole = part. So in this case it would be 0.40 x 79.99 = 31.99. So you will get $31.99 off $79.99 making it $48.00. So hopefully now you will be able to do percents. Until next time, Robonorris out.
Thursday, November 16, 2006
Chicken Problem
OK, gang. I NEED YOU TO START POSTING, so here's a small challenge for you. In the diagram are 3 chickens, each with a different mass. Can you tell me how much each one weighs? Describe your process - how did you come up with the answer?
To post a comment, just click on the "comments" hyperlink at the bottom of the post. You will be required to put your user name and password in (the one you used to set your account up when we did it together.)
Monday, November 06, 2006
Scales and Measuring Bears
What are scales? In a mathematical term, scales measure (typically) length and width. They are, simply, a representation of a full scale model/object based on a ratio and a proportion. A scale model can be one-half, one third, one tenth or even a thousandth the size of the actual. A scale model can also be larger that the actual object, two times, three times and even five times. Determining which number represents what model is the first step to solving a scale-type mathematical question.
Now here we have a little dilemma, let’s say, your friend has a strange desire to find out how much one centimeter of her teddy bear would stand up to a real wild grizzly bear. Now if the stuffed animal was around 40cm tall, and a real bear (if you got close enough to count) is about 182 cm tall; a scale would easily show you how many centimeters long are equivalent to your huggable toy. To find the answer, take the first two numbers (40cm and 182cm) and turn it into a fraction with 40cm as the numerator and 182cm as the denominator. Now with that fraction, make a proportion with the second fraction as 1cm as the numerator over x as the denom
inator (when you make a scale, the first number has to equal 1). Then cross-multiply 1cm by 182cm and divide by 40cm. Therefore, x equals 4.55; the ratio now becomes 1:4.55. Make sure you tell your friend that ‘for every 1cm of her stuffed animal, a real bear would be 4.55 cm’.
Now here we have a little dilemma, let’s say, your friend has a strange desire to find out how much one centimeter of her teddy bear would stand up to a real wild grizzly bear. Now if the stuffed animal was around 40cm tall, and a real bear (if you got close enough to count) is about 182 cm tall; a scale would easily show you how many centimeters long are equivalent to your huggable toy. To find the answer, take the first two numbers (40cm and 182cm) and turn it into a fraction with 40cm as the numerator and 182cm as the denominator. Now with that fraction, make a proportion with the second fraction as 1cm as the numerator over x as the denom
inator (when you make a scale, the first number has to equal 1). Then cross-multiply 1cm by 182cm and divide by 40cm. Therefore, x equals 4.55; the ratio now becomes 1:4.55. Make sure you tell your friend that ‘for every 1cm of her stuffed animal, a real bear would be 4.55 cm’. Once you measure an objects size, you can upsize or downsize by an appropriate number to compare the scale model to the full size.
You do this by taking the number of mm/cm/m (or any other means of measuring) of the full scale model or the actual item and turn it into a fraction. Then with that fraction, turn the equation into a proportion and with that proportion, comes the result of a ratio. So, to sum up; a scale is a ratio showing the differences between a length in a drawing/model and an actual length.
You do this by taking the number of mm/cm/m (or any other means of measuring) of the full scale model or the actual item and turn it into a fraction. Then with that fraction, turn the equation into a proportion and with that proportion, comes the result of a ratio. So, to sum up; a scale is a ratio showing the differences between a length in a drawing/model and an actual length.
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