Week 9, Math Burton

What I learned this week:

I learned two interesting things this week, the first one was that an equation that repeats itself with the same numbers is really just a square in disguise. Example: (X +4)(X + 4). Usually you would use FOIL to figure out the answer, redistributing and multiplying every number. OR you can think of it as (X + 4)^2, you can cut one step out as well to find the middle number. Multiply 4*X*2.

 

Second thing I learned (X + 5) (X + 3) usually you distribute everything, or you can square the X (since you know you’d do that anyways), add the two numbers together (add x) and lastly, multiply the two numbers.

This: X*X + X*3 + 5*X + 5*3

becomes

X^2 + 8X + 15

Week Before Last Week Tonight

imageWhat I learned in math, Week 6:

The side of the triangle with the smallest side will be on the opposite side of the smaller angle. The biggest angle will be 90°, so that angle can’t be it. Meaning that the smallest angle is against side “C”, one end is the smallest side and the other end is the smallest angle.

My ah ha moment

image

The “ah ha” moment happened when Mrs. Burton explained to us how to turn a measurement squared into a different unit and “un-square” it. All you need to do is times everything again by itself, since that’s what squaring is. If you want to cube multiply three times, not two.

Weekly Reflection

“Ah Ha” moment:
“Determine the lowest common multiple of: 12, 30 and 105”

At first I didn’t understand how to do this, as 12 doesn’t have 5 or 7 as multiples, 30 doesn’t have 7 as a multiple & 105 doesn’t have 2 as a multiple. It wasn’t until I realized that you had to multiple the biggest multiples in each number together, regardless of whether or not each number shares a multiple with another.

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Parícutin: Yes, it is real.

(http://www.mnh.si.edu/onehundredyears/expeditions/Paricutin.html)

The volcano is an old shield volcano –and one of the “Seven Natural Wonders of the World”. What makes this volcano interesting is that it’s one of the few active volcanoes in the Sierra Nevada Mtn. Range, with a “recent” explosion (1952). It made over 200 people evacuate and buried three towns in volcanic ash, magma and rock. Think of a modern day Pompeii in a secluded Mexican town.   However, not all is lost, as the general consensus among most towns-people is positive towards the volcano. Tourism boomed, scientific recognition of ex-small towns put places on maps and it made fertile soil. Most people say it’s a great climb, in fact, since it’s located 3, 170m above sea level some athletes have trained there to boost their aerobic endurance.