1. P.O.D.
Larisa was being harrased by a mosquito. She picked up a fly swatter and wacked the moskito by snapping her wrist down but keeping the rest of her arm steady. Let us asume that the distance from Larisa's wrist to the head of the fly was 50cm. If the swatter swung through an anlge of 52º, how far did the head of the fly travel?
- First, we need to realize that the segment traveled by the fly swatter is not a straight line, it's an arc.
- Then you need to remember past topics on our pre calculus class, for example: The Snowman units formula, and how to convert from degrees to radians and viceversa.
- Then you can tell that what we need to find out it the lenght of the arc.
In today's class, we recieved 3 answers from students in the class. First, Cristy Bustillo's answer. Unfortunately she didn't realize that the segment traveled by the fly swatter was an arc, not a line. So she drew a triangle and then used trig functions to find the lenght of the unknown side.
The second answer was given by MAC. She did realize that what we were looking for was an arc, so she used this formula: S = rƟ. S being the lenght of the arc, r being the radius, and Ɵ being the angle in radians. In order to use this formula, she had to convert the angle that she had in degrees to radians. She converted it and the plugged it in into the formula, to later get an answer for the lenght of the arc(S)
The third answer was given by Susy DC. She used proportions. She realized that 52 was a portion of the total angle in a circle, 360, and that S is a portion of the total circumference of the circle, 2πr. She also knew that both proportions were equal. Then she solved for x to the the same number that MAC got for her solution.
Here you can see the answers by our classmates and the procedure to get thereThis album is powered by BubbleShare - Add to my blog
After the P.O.D., that took pretty long, José Alcantara read us a story about a race between a tortoise and Achilles. which remembered us of the rat problem. Here you can find the story: www.mathacademy.com/pr/prime/articles/zeno_tort/ .
Think about it. Will Achilles get past the tortoise? in this case? in real life?
After reading the story, and discussing it, José Alcantara gave us some Limit practive problems so we get prepared for the next quiz!!
Limit Problems:
1. Solve without using your graphing calculator
2. Check your answers using the graphing calculator.
3. Check with José Alcantara's posted answersThis album is powered by BubbleShare - Add to my blogThe only homework was to correct the quizzes to get 5 point more.
And the next scribe has to be done by: Daniel Enrique Rubio Ferrer.
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