Happy Monday! Our Math Monday blog assignment for today is to explain how to find the circumference of an object with a radius of 3 feet using pi.

  1. Use the formula of area = pi x r^2.
  2. When we substitute our values, we get area = pi x 3^2, or area = pi x 9.
  3. Multiply pi, which is roughly 3.14, by 3^2, which is 9.
  4. Your result is roughly 28.27. This is the circumference of the object.

Pi

3/11/2013

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Happy Monday. Today's blog assignment for today is to write everything we know about pi. This is because pi day, or March 14, is coming up soon, on Thursday.

Pi is the name of a Greek letter that is given to a very famous irrational number. The number can be expressed as an improper fraction 7/22, or as a decimal that is very long but is typically shortened to 3.14. The actual pi decimal has more than a million places and is non-terminating, or goes on forever.

Pi is fun to recite, but it can also be useful outside of school. Architects and civil engineers use pi to find the circumference of an object. They use only 3.14 since pi goes on endlessly. This is why there is no such thing as a perfect circle, only very close optical illusions. In this way pi is sort of like a mathematical paradox. Like I said previously, pi is represented as the Greek letter of the same name. This is what it looks like.


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We celebrate Pi Day on March 14 because in American dating, it looks like 3/14. If we were to properly use pi's fraction form, the day would be celebrated on 22/7, but there is no 22nd month! The actual exact Pi Day, when the date matches the places in the number, will be on March 14, 2015 at a certain time in the morning (the 9:00 hour). I don't know pi to very many places, but a lot of people memorize it for fun and around the country and world pi-reciting contests are held. Kind of a useless skill to learn, but it would be fun to show people, I imagine.
 
Happy Monday! Our Math Monday blog assignment for today is to explain what steps we will take in order to graph a line on a coordinate plane after we know its equation. We find this equation, as I explained in the previous Math Monday blog entry, by plugging variables such as the slope and the y-intercept into the algebraic formula y=mx+b.

The first thing we do after we look at this formula is find the value of "b". "B" stands for the y-intercept, which is where the "y" axis values start when finding the changes that make the slope. The "y" intercept always runs along the 0 in the x-axis. 

The next thing we do is look at the "m" value. The slope is always written as a ratio, or a fraction, with the change in the "y" values as the numerator and the run, or changes in the "x" values, as the denominator. From the y-intercept, we go the number of values expressed on the numerator. If the numerator is positive, we go to the right, and if it is negative, we go to the left. Then we look at the denominator; we now take that many steps on the y-axis. If the value is negative, we go south. We go upwards if it is 

From our starting point to this end point, we have found the slope. Now we connect our dots. This forms a line that stands for our equation. 

We've just wrapped up Chapter 7, which deals with concepts like these and others pertaining to graphs, lines, and functions. Now we're starting a unit on geometry. Planes are dealt with in both chapters 7 and 8. "Line" is actually a geometric term; in fact, the line graphing concept is really just applying numbers and algebra to geometric ideas.