Honors Algebra 2/Trigonometry Fall Semester Project Topics by Miles Ogihara
2. Simplifying radical expressions containing rational coefficients (I): I chose this topic because it was the first real mathematical technique topic we learned. I was able to understand the topic quickly which gave me confidence for future topics. Furthermore, this topic is still used in many different questions we do because there is a lot of simplifying and adding/ subtracting common factors.
3. Simplifying radical expressions containing rational coefficients (II: I chose this topic because it was a continuation of the addition and subtraction of radical expressions, making it just as important. This topic is interesting because it works differently from the …show more content…
Rational expressions with unlike polynomial denominators: I chose this topic for the same reasons as the previous topic and because it required complex thinking. It made me think about simplifying in any way I could and choosing the right style of simplifying in order to help solve the expressions. I also found it interesting that the problems needed to be solved with a lot of care because it is very easy to make a mistake and just one can alter the whole problem significantly.
17. Simplifying complex fractions: I chose this topic because it was very hard for me to master. I had issues with all the steps required which forced me to solve slowly and take the problem step by step with no shortcuts. It was interesting to solve questions that had fractions inside of fraction and sometimes fractions inside of that. It added a whole new dimension to the idea of division in my mind.
18. Solving rational equations: I chose this topic because I was intrigued by the whole concept of creating a common denominator. Before this topic I had never realized how much easier it made everything but after this topic I became aware of its ability to make everything much simpler. When solving these equations, it forces you to use most of your previous knowledge of algebra which is great because it keeps your memory strong by applying old