Math

Discoverers, We will use this page to summarize the skills and concepts that we are learning in math throughout the year. Happy wiki-ing!


 * Decimals-** Decimals can be written in 3 ways: decimal,fraction and percentage. A decimal like this 0.001 would be really small. In word form it is zero and one thousandths. 0.100 would be the same thing as 0.1000000000000000. Decimals can be easy if you know how to figure them out. Decimals are another way to figure out and write a division problem.


 * Fractions-** Fractions are kinda like decimals. Also if you ever need to find an equivalent fraction for like... lets just say 3/7 and I want to multiply by 3 so i would say... 3x3=9 and 7x3=21 then the answer would be 9/21. Always want to multiply the top number by the bottom to get an equivalent fraction. Fractions are I think related to mixed numbers, but if you wanna know what mix numbers are, they are... when the top number is bigger than the bottom. The reason why I think they are related is because the name of fractions and mixed numbers. Why I think fractions are like decimals is because if you have a decimal you might want to put it in a fraction. Like if you have 0.45 for a decimal the fraction would be 45/100. Sometimes fractions can be tricky and sometimes hard. That's what we know about fractions**. :) : )

Division-** Division is the opposite of multiplication**.** We think that some are easy and some are very hard. If you are dividing by three, and there is a three in the divisor, it is easier to solve. When you can't think of the solution easily, use the "cover up" strategy to get started. Keep sliding your hand over to uncover one place at a time until your divisor can go into the dividend that is showing. You can also write division equations as fractions.


 * Multi-Digit Multiplication-**Factors are the numbers that we say when we skip count to figure out the product. Prime numbers are numbers like 1, 7, and 11... Expanded notation can help you to solve multi-digit multiplication problems. Some of the prime numbers are hard to figure out. You can figure out very large numbers by doing this. Some solutions take longer to reach than others. When you spread out the numbers it is a lot easier than just doing it in the original format because it helps you to think and to understand what you are doing. Multiplication is just the opposite of division.


 * Challenge Problems/"Word Problems"-** Word Problems are sometimes harder then you think they can be,but if you are good at them you can do harder ones today when we did them some were easy and others were harder. After we got into it we could do harder then you could think they were and it was different when we got to the last ones they were harder and i think if you try hard enough you can do what you want to do.


 * Quick Draw**- Quick draw helps us with remembering stuff as while as draw what we saw. Quick draw can help us with shapes. It also helps us with thinking hard about what we saw and how to draw it. I think quick draw is a little hard and a little tricky. They get harder and harder every time that we do it. I think quick draw is helpful. I think that it is help to math concepts and just fun to do. Quick draw is very fun yet hard cause it is fun to do and it is helpful for when you don't understand. You have to understand it or it will not be easy for you.

__**Transformations**__
 * Translations**- are when something moves. Like a frissbe or a baseball even you. A spinner does not translate it rotates.A die translates. So you translate. (LR)


 * Reflections- Reflections are shapes viewed upside down or side ways but stays the same shape, and size. (BM) ** Reflections are "flipped" across an imaginary line that represents a mirror. (LL)


 * Rotations**- Rotations are when the shape spins on a point. (TC )


 * Graphing Points on a Coordinate Grid**- To do this you have to go x axis to y axis x is side to side and y is up and down. You follow it by doing this, this is a coordinate (3,4) 3 is the x axis and 4 is the y axis so you go side to side then up and down. (CA)

Setting It Up- Do you know how to set up a coordinate grid? Well you can set it up by just using lines and numbers. You set it up first with the origin, the origin is(0,0). Then you put down the x-axis on the bottom. Then you have to put down the y-axis going up and down the side. Now you know how to set up your own coordinate grid and where to put everything on that grid. Locating Ordered Pairs- Do you know how to find ordered pairs on a coordinate grid? Well you can find them by using the x and y-axis. Here is an example, (3,3) first you go up three and then you finally go over three and you get (3,3). Now can you do (7,3) n your own? Well the answer to that is go up seven and over three and you get (7,3). Now you know how to locate ordered pairs on a coordinate grid and also where to put them too. (HB) :)

Just remember this always: always start at the zero or origin. Alright, every single time you do an ordered pair you always have to go in order. A coordinate grid can show you the exact location of something, like when you play dot to dot you are using coordinate grids. The way I remember the order of an coordinate grid is an air plane. First the air plane takes off positioning it's arms right to left, after that it does tricks in the air with it's arms stuck up and down. If you remember this order from zero to, across to, up and down you will be a pro at coordinate grids. Oh and one more thing if you see a cordinate grid that has 4 seperate squares in it then that just means you might have negitive numbers in it if that happens then just go left and then bottom becaus it's just the oppitite way! Example: 5,6 ,5 right ,6 up. -5,-6 ,5 left 6 down. Remember this= be a pro. (M.K :-))


 * Coordinate Grids-** Today we learned about **coordinate grids**. If you don't know about the **coordinate system is** continue reading this draft. The things you will need to know about is the origin, x-axis, y-axis and ordered pairs. The origin is zero which is where you start. X[[image:file:///var/folders/dk/dkFEqjSbFeqcReNUesbiw++3yxQ/-Tmp-/com.apple.PhotoBooth-T0xa0f770.tmp.aqDQtA/Photo%205.jpg]]-axis is the bottom numbers that go across:

Y-axis is the bottom numbers that go down: Ordered pairs are next and ordered pairs are like (0,0) and can be on a grid like this: (BM)


 * Ordered Pairs**-To do this you have to you start with the X axis. Then you do the Y axis. For example if you have (3,6). First you go over 3 spaces side ways. Then you go up 6 spaces. Put a dot where you stopped. Put (3,6) at the dot. They can even have negatives too. I hope you have fun with order pairs. (MM) :)


 * Parallel and Perpendicular Lines**- Parallel lines are side by side, but never touch each other. (CA)


 * Graphs**- Graphs show how much data they have survaed. We have made blogs today nov. 12, 2009. The types of graphs are pie, bar, line, X & Y, and some others that are cool. I hope you will try to make a graph and if so you will like it so much it is very cool and very fun too. We hope you like making graphs. (CA)


 * Median-** The median is like the middle. For example if you have these numbers 2,4,6,8,10,12. What would would your median be? The answer is 8. You would have to average (LR).


 * Mode-**The mode is what numbers there are most of. So I don't mean the highest number. I mean like this, 10,18,6,4,8,6,4,2,4. So there are more 4's than any number. So that means that mode means most. Now you know what mode means (MM).


 * Range-** The Range is the biggest number minus the smallest number.To determine the range you have to figure out the numbers put in least to greatest. Then you would have to do the the big number and take away the smallest number to get the range (MST).

55 those are the ways that you can write fractions. (MST)
 * Probability**- Probability is really cool. I know that if you try probability it would be easy for some people not all people can learn it very easily so why don't you try this problem. Amy has 5 lollie pops 16 pieces of gum and 3 jaw breakers. She put them in a bag what candy is more likely for her to pick? If you can figure out that problem than you can do probability. There are a lot of different ways to write a fraction This is all the different ways to write fractions 2:55 2/55 __2__


 * Proportional Relationships**-//**(figuring out "What is the rule?")**//- Proportion relationships are tables that you can continue from using both top row and bottom row of numbers instead of just using the bottom OR top row of numbers. For example: you have 1,2,3,4,5 on the top row and then you have 10,20,30,40,50 on the bottom row. The rule would be x10 because your multiplying the top number by 10 to get the bottom number.(1x10=10) If you said the rule is +10 you would be wrong because you only used the bottom number not BOTH of the numbers.You would get the same answer if you were just counting it up to like 60 or 80 or something like that That is what proportion relationships are. (MK)

(A diagram and description by Hannah and Matthew M.) Today we learned more about adding fractions. We had to make our own when we finished the first two. We did six pieces when she told us to do five. We thought this one was going to be a little tricky. But we got it in about one or two minutes or less then a minute. We learned how to divide fractions. We had to put it on the wiki and put down what we learned. We got to put it on the wiki and me and Matthew M. got to put our own on the wiki. (Hannah B. And Matthew M.)
 * How can we think of geometric designs as more than one fraction all added together?**

Today we learned more about fractions, a lot more! One thing that we learned is which ones are equal. We also learned more about adding the fractions and subtracting them also. If you don't get what we are saying we are going to do an example: 50/100 +50/100=100/100. (TB and NG)
 * Fractions and Building Our Number Sense**


 * Multi-Digit Division**

Adding fractions is very easy to do. Here's a fractions problom. 8/8+3/8=? Do you know what the answer is? If you do grate,If you don't. Here's how. Add the top numbers ,which we call that the numerator. But keep the bottom numbers the same ,which we call that the denominator. Well there you go now you know how to add fractions! GOOD LUCK! (NG)
 * Adding Fractions**

**
 * Subtracting Fractions When you subtract fractions you got to get the fractions together and look at the numerator and the denominator on each of the fractions and if the denominator is the same then its a lot easier. If its got it then all you do is subtract the numerator and thats your numerator and then you just put the denominator on the bottom and you got your answer. If the denominators are different then you get one and you find a = fraction with the same denominator and then you finish the problem. This is the way I do it. (SL)
 * Perimeter**


 * Factors**


 * Multiples**


 * Comparing Two Sets of Related Data**

Double Bar Graphs Using Graphs Today I learned how to use a graph. Do you know how to compare two sets of related data? Well the way you can do this is with a double bar graph. This kind of graph allows you to use two lines on one double bar graph. Now you know how you can use a double bar graph.

Setting up double bar graphs Do you know how to set up double bar graphs? Well you can set them up with two sets of bars right beside of each other. (HB:)

__The Trick__ Do you know the trick for order of operations? Well the answer to that is to use please excuse my dear aunt Sally. They mean, 2, x, division, + and - too. Now you know what please excuse my dear aunt Sally means. I hope you now know the trick for order of operations now. __Solving the Problem's__ Do you know how to solve these kinds of problem's? Well you have to see what will come first. It can be x, division, + or even - too. But it could also be parenthesis too. Well here is an example of one you have to solve 56-4 divided by 2 = 54 then 56-2 =54 54 =54. Well I hope you now know how to solve these problem's now because you are going to need to know how to solve them when you get bigger too. (HB:) **
 * Order of Operations

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