Week 3 – Math 10

This week we began our unit on trigonometry. One of the things I learned was SOH CAH TOA, abbreviations that help you to memorize how to find side lengths using angles and equations.

Each set of abbreviations begins with a letter that describes the angle equation to use on your calculator (S=sin C=cos T=tan). Depending on the angle of the triangle you are using and what side lengths are given to you, you can choose the correct angle to use.

Each triangle has 3 sides, and when a base angle is given to you, these sides are given names. The longest of them is the hypotenuse, and the side that the base angle sits on is called the adjacent side, the final one, the opposite side, sits on the opposite of the angle.

The other two letters in each abbreviation shows you what sides to use and in what order (OH=opposite/hypotenuse AH=adjacent/hypotenuse OA=opposite/adjacent. \

Even if you only have one side of the triangle and the angles (90 & other), you can find the side length you are looking for.

 

Week 2 – Math 10

This week I learned how negative exponents work and how they effect their base’s. Negative exponents unlike positive exponents don’t increase the numbers size. Normal exponents multiply a number over and over (ex. 3^3 = 3\cdot3\cdot3 = 27) and negative exponents turn the number into a fraction (ex 3 to the power of -3 = \frac{1}{27}).

You can turn it into a normal number by following the next steps. I will use 5 to the power of -4 for this example.

First, if the exponent is negative, then you turn it into a fraction of \frac{x}{1}.

Then you put the denominator on the bottom, therefor making the exponent positive (if the negative was originally on the bottom, you move it to the top).

Then you find out what the product of the power is and put that underneath a 1, in this case \frac{1}{625}

 

Pill Degradability

Define: In our groups, we tested the speed of which pills dissolve in a mixture of heated water and vinegar. The pills we used were as follows: Motrin, Aspirin, Advil, Life pill, and Tylenol.

Discover: Questions asked and answered were; what pill will dissolve the fastest, and which would dissolve the slowest. The answers to these questions were that the Aspirin dissolved the fastest of all the pills and that the Advil resulted in dissolving the slowest.

Deliver:                 We discovered how these pills would dissolve and what speeds they dissolve at

Debrief: The process me and my group went through to complete and examine the pills dissolving was difficult because of the amount of time we had to do it. Even though the class is over an hour long, there were times where we had to wait for supplies and equipment, which resulted in us having to cut the dissolving timer short by 2 minutes. Ways the process could have improved are that we could have planned out the time we had a little better than how we did.