# Pre-Calc 11 Top 5 for 2017

Class Attendance
• Try to show up to every class because everyday theres different information and missing just one class will make you behind. You will never catch up if you miss a week. Theres way too much information that I couldn’t even get and I showed up every single day.
Homework
• Do the practice assignments for each unit even if its not due. They will help you understand the topics because the units relate to another. Not doing them will result in not knowing any units and will cause you to fall behind.
Test Correction
• Although the unit is complete and the test is done, its useful to do corrections. Theres a final exam at the end of which is composed of all of the units. Knowing what you got wrong for future reference is useful. Compare with your peers since they did the same test and ask questions if necessary.
Math Friend
• Sit beside someone you know so you don’t hate math as much. Math will become much enjoyable with a friend. If you don’t know anybody, sit beside a classmate and do some math together. Its better to struggle together than struggle by yourself
Questions

• While going through the units, if you dont know something always ask the teacher. The odds are that other people dont know  something either and its better for the class to learn. You do not want to go into other chapters not knowing the basics first.

# Reducing Rational Expressions

We must always reduce rational expressions when we can to make the expression simple. In order to do this we must find the excluded values for X.  The restrictions on the variables is when the value makes the denominator zero. Then we should see if we are able to factor the numerator and the demoniator. Next, cancel any factors that are possible. Finally simplify the expression. Keep in mind that factors are constants/variables that are mulitplied or divided together.  Terms on the other hand, are constants/variables that are added or subtracted.

# When to use What Trig

The Primary Trig Ratios should be the very first concept everyone should see if they could use to solve on a triangle.  SOH CAH TOA ratios only works to solve the missing values for a right triangle. The primary trig ratio works for the picture below because it is a right triangle and theres an angle and a side we could use to solve the triangle.

Sine Law can be used if the triangle is not a right triangle and there are two sides with the corresponding angle.  The sine law works for triangles that can be labeled like the picture below.  The sine law can be used with any triangle if given the right sides and angles.

The cosine law should be used when sine law and the primary trig ratios do not work. The cosine would only be used if theres an angle and there are two other angles that do not correspond with the sides. Cosine works with the diagram below because the opposite side of the angle is unknown.

If all of the methods can be used in a situation I would choose the Primary Trig Ratios because i believe it is the fastest and easiest method. I have been using the primary trig ratios since grade 10 so it would make sense to keep using it.

In grade 10, I only knew about the primary trig ratios. The method limits my abilities to solve all triangles because it only works on right triangles.  Now I know multiple ways to solve a triangle.  I did not realize how indept trigonometry can go into. I can also predict if the ratios would be positive or negative using the Cast Rule.

# 1.5 Math Lab

While I was doing the lab I noticed that if r>1 and r<-1 the number will diverge and if r is 0<r<1 or -1<r<0 the numbers will converge. This was for both geometric sequences and series.

# Math 11 Autobiography

Autobiography

When I was young I always just seemed to get math. Math was never too challenging for me or too easy for me. I think this is because I studied math in Korea until 8 years old. In Korea the schools are far ahead in math compared to Canada. When I came to Canada math was very simple and I was able to receive high marks.  In grade six I was one of the best math students in my class and for some reason I just started to be good at math. I was enrolled into math 9 honours program and that was not challenging however, it was just a lot of work. I took the time to take math 10 in the summer. I am actually a grade 10 taking a math 11 course. My sister who is at UBC told me that math 11 and 12 are the most important courses, so that I should receive a high grade. Math was never fun for me in my opinion. I hope that math 11 will spark some interests in me. I remember when I was very young I could not multiply or divide double digit numbers. I got a tutor and went to institutes to better my learning and it has helped me a little. I don’t seem to have any real successes or failures in my math career. I hope pre-calculus will not be too hard for me.