Month: April 2017

Math 10 Week #10

alexr2015

We continued our polynomial unit this week. An important concept that we covered recently was division with polynomials. We’ve added, subtracted, and multiplied polynomials, but we haven’t divided. With polynomials, it’s not called division, it’s called factorization. We’ve factored before, but that was with only single numbers. This time it’s with polynomials.

In the first question, you can factor out a x, because there is an x in both terms. So the x factored out, and is placed on the outside of the brackets. In the second question, you can factor out a 2 from both terms, so the equation goes from 4x+6 to 2(2x+3).

 

Math 10 Week #9

alexr2015

This week, we talked about multiplying two binomials together. We used the distributive property to find the products of two binomials. To do this, we used the claw method, which helps us visualise the distributive property. It’s called the claw method, because, well, it looks like a claw. It’s funny. I’ve written an example in the picture below. The x in the first bracket is distributed to both terms in the second bracket. Then the 3 from the first bracket is also distributed to both terms in the second bracket.

 

My Graduation Plan

alexr2015
  1. Healthy Living
    1. This year, I am training in taekwondo to meet DPA requirements (150 mins/week of moderate to vigorous physical activity).
    2. Next year, I will train in taekwondo to meet DPA requirements.
    3. Other than physical activity, I will also need a concrete plan for health eating and stress management in order to lead a healthy life after graduation.

 

  1. Course Credits
    1. I need _80_ credits to graduate. A typical course is worth _4_
      1. _48__ of them must be from required courses.
      2. _28__ of them must be from electives.
  • _16__ of them must be from Grade 12 courses.
  1. At the end of this year, I will have _80__

 

  1. Community Connections
    1. I need _30__ hours of work/volunteer experience. To show I completed this, I must show proof in the form of pay stub or reference letter.
    2. I can start accumulating these hours in Grade 10.
    3. My plan to earn work/volunteer hours is through volunteering at the PoCo Rec Center or help train kids at my local taekwondo.
    4. I will also need to complete a reflection that includes how I benefited from the experience. It will be _200_ typed words minimum.

 

  1. Career and Life
    1. In addition to updating my resume, I will also create Career, Life and Financial Plan to show that I have a plan in place after graduation.
    2. When I graduate, my current plan is to go to university and study computer engineering.
  2. Interview
    1. To prepare for the interview, I can look at the questions ahead of time. They are found on the grad transitions website.
    2. My interview will be with a Riverside staff member
  3. The 3 people at Riverside who are here to help with this process are:
    1. Mr. Thomson
    2. Ms. Luddu
    3. Ms. David

 

In Grade 12, I will find all the necessary documents AND submit them at the Grad Transitions website.

I will complete Grad Transitions 12 whenever I have English 12. If I have it in 1st semester, I must complete everything except the interview before sale of Winter Ball tickets. In 2nd semester, everything except the interview must be completed before end of April.

Math 10 Week #8

alexr2015

We wrapped up our Trig unit this week with a test, and start talking about polynomials. We learned a number of things regarding polynomials. We learned about different types of polynomials, and identifying coefficients.

A coefficient is a number beside a variable. 4y actually means 4 times y. 4 is the coefficient.

There are four types of polynomials: Monomial, binomial, trinomial, and polynomial.

A monomial will only have one term: 4x, 9y, 12, 2, 1

A binomials will have two terms: 4x-5, 2x+3, 3y-9

A trinomial will have three terms x^{2}-4+4

Polynomials can have four or more terms: x+y+z+2, 2a-b+5c+9

 

 

Math 10 Week #7

alexr2015

We were introduced to the concept of Trigonometry this week. We also learned about three buttons on the calculator. sin, cos, and tan. These words are actually shortened, and they mean “sine, cosine, and tangent”. Trigonometry will usually involve right triangles, but isosceles and scalene triangle are able to be solved through trigonometry. Trig questions usually ask for the length of one side of a triangle, while giving you a reference angle, along with the length of a single side.

How do we solve these? First, each side has a specific name, depending on where the reference angle is. The names are adjacent, opposite, and hypotenuse. The hypotenuse will always be the line opposite from the right angle. The adjacent line is the line closest to the reference angle that is not the hypotenuse. The opposite line is the line farthest from the reference angle that is not the hypotenuse. Got it? Good.

You’ll have to learn the phrase SOH CAH TOA. The beginning of each word represents some specific buttons on the calculator, namely sin, cos, and tan. The last two letters of each word represent the lines of a triangle. You remember “Adjacent, Opposite, and Hypotenuse”, correct? If you have to solve for the length of the opposite line, and are given the length of the hypotenuse along with a reference angle, the question is a sine question. Sine(reference angle)=\frac {O}{H} If say, you were given the length of the opposite line along with a reference angle, but not the length of the hypotenuse, then the question would look like: sine(reference angle)=\frac {O}{H}

The best way to figure out what sort of trig question lays in front of you is to remember the phrase SOH CAH TOA.

Now take a look at some of these questions below. All problems require you to solve for x. The first one is a sine question. How do we know? The opposite line is represented by x, while the hypotenuse is represented by 7. The reference angle is 27. The equation is sin27={x}{7}. We multiply the equation on both sides by 7 to isolate x. The equation now looks like 7(sin27)=x.
7 multiplied by sin27 (approx. 0.454) is 3.2.

The opposite line is 3.2 units long.