841+Melissa+D

Okay dokes! I'm going to be the teacher and you have to listen to me. This term in math my class learned about a few things. In order they are: the measurements of central tendency, square roots, percentages, and proportions. I will lead you through the process. If in any case you already know how to do these things be patient and at least pretend that you're learning something from me. >_<


 * __Mean, Median, Mode__**

Mean, Median, and Mode are three of the measures of central tendency. What more can I say? First, you've got to know how to count properly. Second, you should know what the word "middle" means. And lastly, you MUST know your numbers! Once you know this you'll be able to figure out the following questions. But first, I must teach you the procedures.

5, 7, 8, 2, 2, 3 <---These numbers are called the RAW DATA. The RAW DATA is what you should first notice. It doesn't matter which or how many numbers there are. With these numbers, the first thing you should ALWAYS do, ALWAYS, is to put them in NUMERICAL ORDER! NUMERICAL ORDER is when you organize the numbers so that the least amount goes first, getting higher and higher, and, you know what I mean...If you don't put it in NUMERICAL ORDER I will take Mr. Harbeck's stick and whack you!

2, 2, 3, 5, 7, 8 <---This is NUMERICAL ORDER.

Note to parents: If you do not put the numbers in numerical order, you'll never get the right answer for anything.

The next thing to do would be to find the Mean. To do this, you must add all the numbers together. What you'll end up with is called the "Sum of All Data".

2+2+3+5+7+8 = 27 <---Sum of All Data.

Once you've found the Sum of All Data, you divide it by the total numbers you have. In this problem, we have 1, 2, 3, 4, 5, 6....6 numbers. So you divide 27 by 6 to get the Mean.

2+2+3+5+7+8 = 27 27 / 6 = 4.5 <---Mean.

Note to parents: Mean means Average.

After you've figured the Mean, the next thing to figure out would be the......MEDIAN! Now, to find the median, you must have your RAW DATA set in NUMERICAL ORDER! Otherwise, the answer you end up with will be completely wrong, and I'll have no choice than to hit you with Mr. Harbeck's stick! You don't really want to get this easy task wrong. It's pretty straight forward: In NUMERICAL ORDER, find the middle number. In this case, there are 2 middle numbers. 3 and 5. If you run into this problem, the best thing to do would be to add them together and divide by 2.

3+5 = 8 8 / 2 = 4 <---Median.

Note to parents: Median means "middle". If you remember this fact, you'll never get the wrong answer when it comes to finding the median.

Now, there is one more thing to find. *drum roll* The Mode! *clash!* To figure the mode out I'm going to refer back from the top of this page....KNOW YOUR NUMBERS AND KNOW HOW TO COUNT! That's all you need to find the mode. That's all.

Note to parents: The mode is the number that shows up the most. It doesn't matter what number it is. Also, there could also be no mode at all.

Well that's how you figure out the measures of central tendency. Wait! Don't assume that I'm going to let you go so easily! We're not even half way of my lecture! If you learned something, show me. Here are 2 questions about Mean, Median and Mode.

1. 8,10,3,2, 8, 5, 2, 8 2. 3, 4, 5, 8, 7, 1, 4

Figure out the Mean, Median and Mode!!!!!!

__**Square Roots**__

Aha! Now I'm going to teach you about square roots! Too late! You can't run away from my lectures! Muahhahaha. *ahem* Think about "perfect squares" when it comes to square roots. The perimeter of a 4 by 4 track field would be 16. The square root is the number that is multiplied by itself to get a whole number. So if I asked what the whole number's square root was, all u needed to do was to find the number in which u divide the whole number by to get itself.


 * Parents stare. Mom blinks. Dad scratches his head."

Okay, okay. I'll explain more thoroughly. Say, you wanted to know the square root of 49. Well, there is the easy way (stares at calculator), and there's the way that makes you think (stares at paper and pencil). I know what you're thinking. "Oh, great. There's an easy way. Let's pick that so we could get this over with." Too bad! I'm not letting you get away so easily! I'm going to teach you how to.......FIND THE SQUARE ROOT OF A NUMBER WITHOUT USING A CALCULATOR!!! *dun dun dun duhhhhhh*

Thanks to Mr. Hanly, (points to the tallest guy in the school) I was able to completely understand the steps of finding the square roots of numbers. "Thank you Mr. Hanly".

To figure out the square roots of whole numbers, you'll need to make a "perfect square chart". To make this chart all you really need to do would be this: 1x1=2.....2x2=4.......3x3=9......4x4=16....and so on. The numbers you get as an answer, (ex. 4x4=16) is the "perfect square", and the numbers that are multiplied by themselves to get the "perfect square" is the "square root". Here are tips you should be aware of when dealing with square roots.

-perfect square chart -knowledge of multiplication -knowledge of division

Now here's a demo problem. Find the square root of 61. The first thing you should do, is to look in your perfect square chart, and see where the number lies between. In this case, 61 would land between 49 and 64. 7x7=49.....7.?x7.?=........8x8=64 To find _, the class learned how to find a fraction. To find that fraction, you'll have to take the first perfect square number and list all the numbers that are listed between itself and the next perfect square number.

49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64

To find the denominator of the fraction, subtract the least amount, from the greatest amount. 64-49=15 <---denominator

To find the numerator of the fraction, count the many numbers it takes until you reach the number which you are trying to find the square root of. In this particular problem, the numerator would be...1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12...12.

And there you have it. The square root of 61 is.....7 12/15.

Now....find the square roots of the following numbers: 34, 98 and 23.


 * Percentage**

Awwww man...! This is getting too long!!! Oh well...Long story short, the word percent means, "something out of a hundred". To narrow down further...in French, "per" means well...something... and "cent" means a hundred. So naturally, percent means "something out of a hundred"....Is it just me or am I sounding a bit like Bill Nye?....

Well, anyway, to find the percentage of a number, you always have to remember that the number that is the whole, is 100%. For example, if you say that 45 is the whole number (100%), and you're looking for 50%, this is what you do.

__Make a word ratio!!!

P ? 50__ _ =_= _ __T 45 100__

Note to Parents: when finding relationships between numbers........do the same thing for both the top and bottom. If I divided 2.2 from a hundred to get 45, divide 2.2 from 50 to get your answer, 22.2.

Now find fifty percent of 36 and 96.


 * Proportions**

Proportions......Proportions, proportions, proportions.....They drive me up a wall. x_x. I'm going to speed up the process on this one as well because I feel like this whole report is too long....

Two major proportions that I learned in math are: Finding relationships (shown when dealing with fractions), and XKY charts. I'll explain how to figure out problems by using the different proportions.

Problem 1. I bought 24 kitties (o.O). When I bought them, they came with six gift cards. How many gift cards will I have if I buy 56 kitties? I'm gonna use a relationship word ratio for this __one.

Gift Cards 6 ?

---__ =__---__= __---

Kitties 24 54

To find out the__ _ I divide 24 from 54, and then do the same thing on top. 54/24 = 2.25 6x2.25 = 13 <

If I buy 54 kitties, I'll have 13 gift cards.

Problem 2. I have ten baseball cards. They came with 4 toys. How many toys will I have if I buy 14 baseball cards? I'll use an XKY chart for this one.

X | K | Y 4 | | 10 ? | | 14

XKY charts are almost exactly the same as ratio tables. They're just.....written differently. To find ?, I divide 4 from 10, and then do the same for 14. 10/4 =2.5 14/2.5 = 5.6 <---answer!

If I buy 14 baseball cards, I would have 5.6 toys.

Now...here are two questions for you to answer....

1. I went to the mall and bought five shampoos. They came with ten dolls. How many dolls will I have if I bought 26 shampoos?

2. I organized my room for once and found out that for every three yo yos I have a ball. How many balls do I have if I had 25 yo yos?

Melissa's Answers!

Additional Term 2 Stuff ^^

Math Blog Posts! Melissa's BOB!
 * || **Question 1** || **Question 2** || **Question 3** || **Question 4** || **Question 5** ||
 * Question for parent to do || /2 || /2 || /2 || /2 || /2 ||
 * Answer with explanation || /2 || /2 || /2 || /2 || /2 ||
 * Parent Notes explaining topic || /2 || /2 || /2 || /2 || /2 ||
 * Extra work to further explain topic, bubbleshare, pictures etc. || /3 || /3 || /3 || /3 || /3 ||
 * Extra links to math blog sites || **/5** ||  ||   || **Total** || **/50** ||