Category: Math 11

Week18/19 — Precalculus11

jamesj2016 on

Top 5 in Pre-calculus11 that I have learned

  1. I leanred how to cooperate with other students in the class, I really enjoyed working as a group and a team together trying so hard to solve a problem, it has helped us to get to know each other better at the end of  the semester.  Asking others questions or teaching others how to do a problem can reinforce my knowledge deeper in my mind.
  2. New knowlege. Precalculus11 this year is quite different from math 10 but it is fairly similar to it, math 11 has a great part that is based on math 10’s basics. For example, in math 10, we mostly learned pythagoras in trigonometry, however, in math11, it is implemented more stuff like sin law and cosine law.
  3. All the resources on Ms. Burton’s blog are really  useful and helpful. I found it interesting to use, it helped me to study, to review and stuff.
  4. Precalculus11 gave me self-recognition that can help me with choosing the grade12 courses and so many things. As having precalculus11, I found that I can handle problems on my own but just needed a little bit more time, so if I can’t figure out, I’d ask questions. I became more confident throughout the semester, it was one of the reason that I’m choosing Precalculus12 and Calculus12, i wanted to give myself challenge.
  5. Review from the ” Past test” folder. In the folder, it has all my past test, so that I can look on where I got wrong in my past test to prevent from making the same mistake again.

Week 17 — Precalculus11

jamesj2016 on

This week we learned about trigonometry. Firstly, we reviewed what we learned from grade10 . Then we started up with new stuff that we’ve never learned before. More terms showed up like reference angle.

This is what I found very interesting, it is certain for the proportion so that it is easier for us to remeber. What’s more,  it can be really convenient during the test if we remember this to quickly find out the unknow side.

Week16– Precalculus11

jamesj2016 on

This week we are still learning adding, subtraction, multiplying and dividing rational expressions, the calculation with the denominators. In addition, we learned about applications of rational expressions which is to solve practical problems with expressions.

Here’s an question that I need to use an equation to solve. It is asking for the amount of bleach that should be added into 47L water. I firstly assumed that the amount of bleach that we are adding is X. Then I thought about the relationships between water and added bleach and the final 6% of bleach in water. I came up with the equation as listed. Then I solve it and I got 3 L of adding bleach.

Week15–Precalculus11

jamesj2016 on

This week we kept on learning simplifying ,multiplying , dividing fractions and non-permissible values. I need to be more careful and pay more attention when I solve this kind of questions because they get too complex to solve sometimes.

This question is about finding non-permissibe value for each expression, the key is that the denominator of the fraction expressions cannot be zero which gives me a clue of finding the non-permissible value. For the first one t cannot be 0 because 2 is a value and I just need to make sure t isn’t 0. Then x+2 for the second one can’t be 0 hence x cannot be -2. Last, I finish the square first then I determine x cannot be 3 and -1.

Week14 — Precalculus11

jamesj2016 on

This week we basically reviewed a bit of reciprocal of quadratic functions and determining the number of asymptotes. In my opinion, the determination of asymptotes is mostly finding the x intercept. Here are the example. It’s asking to determine the vertical asymptotes based on the graph. Apparently, for A, there is no x intercept which means no vertical asymptotes. As for B, we can tell that there are two x intercepts so there are two vertical asymptotes, they are x=-3 and x=-1.

Week 13 — Precalculus 11

jamesj2016 on

This week we learned about the absolute value functions, rerciprocal functions and hyperbola. This chanllenge part is to determine and draw the hyperbola, I had a hard time writing the information of a hyperbola but I soon figured that out under the help from my teammates.

 

This question is about the absolute value function and it is basically asking about two solutions. This one is kind of special and different than others because we all know that an absolute value sign represents absolutely positive, whatever the number is inside of it, it comes out a positive number. So the equation on the quesiton can’t stand since it gives us an absolute value sign equals to a nagetive number, that ‘s why I chose D.

Week12- Precalculus 11

jamesj2016 on

This week we learned about how to slove systems of equations algebraically,  some questions we need to use some technology and for the others we are asked not to use any technology which is a bit of challenging for me. However, the hardest for me in this unit is the type of question that is asking to determine the systems with words. An example is below:

Firstly, I have to understand the information that the words have gave to me. The sum of the first number and the square of a second number is 18, in the begining I thought is (x+y)^2 but I had a second thought and I changed my mind because it is actually x+ y^2 , it’s only the square of the second number. It became tricky for me, then I got several practices I got lot better.

 

Week11– Precalculus 11

jamesj2016 on

This week we learned about graphing and determining the inequalities. To begin with, we get to know about all the factors that we can now from the inequalities like valid solutions. Then we can use all the information to graph the inequalities.

 

The question is basically asking whether the provided point is a solution for the inequility. I simply just bring the coordinate into the inequality and next I found out that it isn’t a solution for it since the reult doesn’t stand , -17 is obviously lesser than -16.

Week9– Precalculus11

jamesj2016 on

This week we learned about how to match the graph with a quadratic function and vice versa, how to solve a real problem by using a quadratic equition  and so on. In between, my biggest difficulty is to find at least three points to graph the parabola, I can usually find the vertex but it’s hard for me to find the intercepts on both x axix and y axix.

 

 

 

Here is how I determine all the information for the parabola. Firstly, I count to get the vertex. Second, by knowing the vertex I can get LOS. It opens down so it’s maximum. I count to get two both x and y intercepts.

 

Week 8 — Precalculus 11

jamesj2016 on

This week we learned how to determine several factors like vertex, intercepts of a function and to have a sketch or vision of the function on the graph. An example is below.

According to the given function, I can know that it’s opening downward on the graph, its vertex is ( -4,-1) and it’s maximum because it opens down, in addition, I can know the axis of symmetry is x=-4 from its vertex since it is the point where splits the graph into half. what’s more, it has no x intercept based on the calculation, but its y intercept is -33. Therefore, the domain is X equals to any real number. However, there is an error on the picture is that its range of the graph is supposed to be Y < and = -1.