Some of my main problems were with division. In third grade I never get the point of division. It was a confusing step in math for me. I was taught, dad, mom, sister, and brother or divide, multiply, subtract, and bring down. Even with these step I still do not get it if someone didn't guide me through. The mistake I've made in division is that I do not no the steps in order even with the d, m, s, and b. It was a big step from what I was use to learning, and that was one of the first hardest challenge I had in math. 
     My confusing thought of division was the step to divide into the first of second number. The first step! I was suppose to divide the divisor into the number. Then I did not know my multiplications until a long study in one night! The second step was to multiply how many times the divisor into, number then write it on the top of the line or on top of the number. The third step was to subtract the two numbers then bring down the next number and do the step all over again. When you reach the end of the problem if there is an extra number, that is called the remainder. It is the left over the number and to write the answer out put the answer then lower case or upper case ''r'' and write the remaining number. You may not get it because it is a confusing thing to describe, however you'll understand better with the problem written down. 
                                                                                       61R1
                                                                                  6/367
                                                                                    -36
                                                                                        07
                                                                                         -6
                                                                                          1
 
     There are many uses of Pythagorean, especially for triangles. The formula for Pythagorean is A^2+B^2=C^2. The ''A'' is usually the shorter line of the right triangle, while the B and C are longer. We use this method to find one of the side. The name for side ''A'' and ''B'' are ''Leg A'' and ''Leg B.'' However the name for side ''C'' is different; it is hypotenuse. There are two ways of doing the Pythagorean. To solve for sides ''A'' and ''B'' is to do it like equations. It doesn't really matter what order you put side ''A'' and ''B'', anyways if side ''C'' does matter. The number for side ''A'' and ''B'' should be given. Then write it out: ex.8^2+6^2=C^2. 8^2 equals 64 and 6^2 equals 36. Next add 64 and 36, it should equal 100. Afterwards find the base of 100 and C^2, which equals 10 and ''C." Therefore''C=10."
However if you get side ''A'' and ''C'' or side "B" and "C", there's a different way of solving it. For example if "B" equals 3^2 and "C" equals 5^2, then side "B" equals 9 and side "C" equals 25. Next subtract 9 from itself and cross it off, then subtract it from 25, which equals 16. Then find the base of A^2 and 16. It is "A" and 4. Which meant "A" equals 4
     A funny situation I thought of was that a hunter was hunting for deers in the woods. He had went 3^2 miles in the woods. Then he heard a rustling sound that startled him, so he ran 4^2 miles away from the sound. However he got lost and needed to track how many miles he covered. Luckily his compass was recording the miles, so he didn't have to guess. Dependent on the compass, he forgot it was set to go back where ever he left. During a long walk he thought to do Pythagorean and figured how many miles he needs to go. He ended up with 25 miles left. So concentrated on his compass he didn't notice that he had reached his starting point. Again he heard the loud rustle,but now he did not know where to go.
     A personal experience I have, was racing with my siblings. We ran 2 yards, turn left, and ran 3 yards back. To solve this I convert yards to inches. First we ran 72 inches, then turn, and 108 inches. I find 72^2 and 108^2, which equals 5184 and 11664. Then I subtract 5184 from 11664, equals 6480. Afterward, I find the base of 6480 and the turn. The turn equals a number in the hundredths.

 
     Square roots are called square roots because they are the squared of the the original numbers. In other words the original number multiply by itself is is called a square root. Imagine a square with the number 36 in it. That's the square and to find the root or square root you have to divide it by a number and see if the quotient turns out the same as the divisor. If it does, then that's the answer. Afterwards each of the two sixes would be written on the bottom and left side of the square.      
     Usually the square roots needs the product of the same number times itself. But if there are other cases, such as the root is 14, what could you do. Well first you will find square roots that are divisible and choose the two roots that the products lay closest with the number. The answer could be written between 3 and 4, which are the roots of 9 and 16. If you want to find the exact whole number subtract the products from the number.(Notice that if the product or number is bigger than each other it doesn't matter the point is to find the difference so there should be no integers...) 16-14=2 and 14-9=5 so the answer is 4 because there is far less difference from 16 and 14 than 14 and 9. So that is how you solve square roots problems. A name for the square root could be a number exponent two because two is the number that tells how many times the number needs to multiply itself. Another name could be a number two to the second. It is also the area of a square.