We just came back from a long vacation. Now that we are back we are starting a new semester. In this last semester we learned a lot, in all of our classes, but most of all math. I struggle with math, so of the topics were challenging, and I had to work harder. I think that the most difficult thing was working with integers. 
     I think that this topic was more difficult for me because of all of the negatives. We had to memorize a bunch of rules to help us solve the problem. Mrs. Pope gives us a pop quiz in the middle of the topic, on this quiz I failed. I think that since I re-did the test so many times, I was able to know how to do the topic a get a good grade on the test. Now that we are starting the new semester that I remember this topic the most because I had to take a lot of time to know how to do it.  

     I have struggled in math for a long time,(not just this year). I think that the most difficult thing for me is math problems in which you have a variable and you have to make the equation correct by finding the value of the variable . 
     This has been challenging for me because once they get complicated I start to mix up the order in which I need to do things. For example, when you have an equation with the variable on both sides of the equal sign the first thing that you should do is combine like terms. what I usually do is move one of the numbers with a variable to the other. The thing that helped me the most is just doing over and over again. Mrs. Pope gave us   pop quiz mainly with these kinds of problems. I had to do it over and over again until I got it correct. 

When you have a right triangle with two known lengths you simply use A^2 plus B^ equals C^2. Why would you use this though? Here are some exapmles: Bob is trying to fix his roof, he has the latter that is 12 feet tall. The latter is 5 feet from his house. How tall is the wall is his house. 
     The first thing that you do is use a^2 plus b^ equals c^2. Lets say that a is 12 b is 5 and c is the unknown varible. You have to find 12 to the second power(144) and add it to 5 to the second power(25). The. (169). then you find the square root of 169 which is 13 so the unknown lenght is 13. Another example would be that you have a square table what is the area of the table. You need to plug in the numbers to this.

     Square roots are easy once you know how to do them. A square root is a number that times its self to get a number. For example the square root of 144 is 12. A perfect square is a number times it self such as 25 or 400. Some examples of a perfect square are 1,4,9,16,25.... There are so many. You just take any number and multiply it by its self.
     Lets say that you have this problem: Sally has a square  window in her room, the widow has an area of 16 square feet what is the lengths of the sides of her  widow. To find the answer to this problem you would have to find the square root of 16. Since 16 is a perfect square you can easily know that the sides of her window is 4 square feet.   

     If you have a positve number and exponent you have a positive number, but what about if you have a negative exponent. If you do have anumber that is not zero that is raised to negative exponent you would have a fraction or decimal not a negative number. 
      Your number would be positive because it would become a fraction. It would become a fraction because you cant work with negative exponents you have to make it a fraction. You make the exponent a fraction and then you would multipy out the problem. All numbers raised to a negative power are eqaul to a fration and not negative. They are never nore than one. The answer to a number with a negative exponent is allways a fraction or a decimal.  

     Exponents show up in many different kinds of math problems. Exponents can also be said in a different way, for examle x to the third power or three sqaured. lets say that you have three to the second power, how would you solve that? Exponents are that same as saying three times three or  two times two times two, it all depends on what power you number is to. 
     You can also have a number to the power of zero, which would be the same as saying a number multipled by its self no times.Exponents show up in many different kinds of problems. Such as order of opperation problems. Solving for expoenets are the second thing that you would solve in that problem. According to G.E.M.S.

     An inequality is like an equal sign. Now you may be asking what is an inequality sign. And inequality sign is less than, greater than, less than or equal to or greater than or equal to. It you have a problem such as 11x> 33.How would you solve this?The answer would be 3>x.
      Now to graph this you need to make a number line. After you draw the number line you need to circle the number. If the equation says for example three is greater than or equal to x. You would need to fill in the circle that is surrounding the number three. You need to fill in the circle because it is showing you that x can be either three or greater than three. If it is not filled in it is telling you that x can't be three it has to be greater than three. 

      We were told to play a game called the Diffy Math Game. It had several boxes each getting smaller. One bow was facing right side up while the one that was inside it was on its side making it look like a diamond  Each corner had a circle around it and had a number. You had to make all of the side add out to the other. 
      You can complete this with many different kinds of numbers . Such as whole numbers, integers  decimals and fractions . The whole numbers are the easiest, the integers are medium and the fractions are the hardest. The whole numbers are easy because they are simple adding with small numbers. The decimals are medium because they aren't as easy as the whole numbers. The hardest was the fractions because You have to find common denominators 

     Did you know that there is an infinite number between 0 and 1? Well there is. You can put an infinite number of decimals to the right  of of the decimal point. For example  you can have 0.22 or 0.3698542174154. it goes on and on. You can use whatever number or amount of number you want. Like you can have a million  two's after the decimal. 
      You can also keep adding zeros after the decimal. For example, say you have the number 3.22 you can add a bunch of zeros after that second two. That will change the  amount of that number. So if you have the number 6.33 and add a zero the number changes in value and the way it is placed on a number line. So each time you add a number after the decimal the value  of the number changes

    In math we just finished up a topic 1. It had to do with positive and negative integers. and we took a test on it . well if you passed the test with a B or better you got to go to Mr. Dorman's room and we got to do this little brain challenge. So what we had to do was we made 4 cubes with random numbers on them (1-4). On one cube it had two 3's and one 4 random stuff like that. And the challenge was to get them in order to have each one different. The challenge was that you had to get each one different on all 3 sides. It was quite difficult.
    It was one of those things that you had to sit there and think about it for a while. Only 3 people figured it out. He eventually gave us a hint but that only made more confusing. he said that we had to do one cube at a time but that didn't seem to help me. the reason that we did this exercise is to help us figure out a strategy to help us get the answer. It was