Reflection on the Math Wings Field Trip to UBC

1) 10 new things I have learned about mathematics:

• On a plane, the pythagorean theorem is true, however, at the north pole this isn't correct and isn't possible.
• The pythagorean theorem is true, and we were taught how to prove it.
• The basis for trigonometry is pythagorean theorem.
• There are an infinate number of pythagorean triplets.
• There are no fractions that work in the equation: x^3+y^3=1
• The name for the symbol that is used for measuring an angle (θ), is called theta. 
• There are seven millenium (world wide) problems created in 2000, and there is a million dollar reward for each problem if you solve it. 
• Fermat's Last Theorem is not one of the seven millenium (million dollar) problems.
• Carl Gauss amazed his teacher by quickly summing up all the integers between one and one hundred.
• Carl Gauss was just as good of a mathematician as Isaac Newton, but not as well known.

2) What have you learned from The Talk?

• I have learned that the pythagorean theorem is in fact true, and it is possible to prove it. During the first part of The Talk, we discussed and figured out how to prove that the pythagorean theorem is valid. true.

3) How does The Workshop help you in future math learning?

• The Workshop helps me in future math learning by that it directs its questions to everyday activities and not just some useless questions which don't have any impact on everyday needs. They make us notice the possible alternative means of solving questions which are present in everyday circumstances.

Math 10 Wings Problem Set #3

Carly takes three steps to walk the same distance as Jim walks in four steps. Each of Carly's steps covers 0.5 meters. How many meters does Jim travel in 24 steps?


This question is wondering how many meters does it take for Jim to travel in 24 steps.

In order to solve this question, you must take all of the integers (3,4,0.5, and 24) and use them to answer this question. Firstly, we want to know how many meters Carly walks in three steps. So, we take the integers 3 and 0.5, and multiply them together to get a product of 1.5 meters for three steps. Secondly, we want to figure out how many meters each of Jim's steps are. So, we take 1.5 meters ( Carly and Jim both traveled the same distance of 1.5 meters, it just took Carly three steps, and Jim four steps), and divide it by Jim's 4 steps, and we get a quotient of 0.375 meters per step. Lastly, we multiply Jim's 0.375 meters per step by 24 steps, and we get a product of 9 meters. Jim travels 9 meters in 24 steps.

Why do I like this question?
  I like this question because the first time I attempted to do it, I got it wrong, and so I was determined to correctly answer it. I also like it because it is somewhat relevant in being applied to everyday life.

What have you learned about the process of problem solving?
  I have learned that in order to complete a question, in most cases, you have to use all of the information given. When I attempeted to complete it earlier, I got a wrong answer because I dismissed some of the information and I had thought that it was uninportant.