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Week 17 – Sin Law – PC11

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This week I learned about Sin law for the first time. We use it to determine either the missing angle or side of a non right angle triangle.

The formula is \frac {SinA}{a} = \frac {SinB}{b} = \frac {SinC}{c}

For the formula to work, you need one of these 3 fractions to have the numerator and the denominator filled in, and the part that you are trying to find needs to have the other part of the fraction filled in.

Take example 1. a)

We are trying to find a, so we have Sin A, and another fraction filled up.

Steps to solve:

  1. After finding out what you are trying to solve for, and what you have, but the variable of what you are solving for on the numerator of the fraction, and cross multiply it with the other SinX over x. So in this case we have \frac {a}{SIN73} = \frac {8.5}{SIN41}
  2. multiply the 8.5 with the SIN(73) and divide it all by Sin(41), leaving you with your answer of a = 12.39

My biggest mistake of the week:

I did not know that you have to put whatever you are trying to solve for on the top. Before I just guessed and did whatever gave me the better looking answer, but now I will always know to put whatever you are solving for on the top.

Week 15 – Trig Basics – PC 11

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In this word problem, we are told that the point (9,12) lies on the terminal arm angle θ, and we are asked to calculate the value of r and determine the exact values of the 3 primary trigonometric ratios (sin, cos, tan).

How to solve

Step 1: to find the value of r, all we have to do is use pythag. We know that the x value for our triangle is 9, and the y value is 12, so we go 81 + 144 = c^{2}, c^{2} = 225, we then square it, meaning the value of r is 15.

Step 2: Now that we know all of the measurements of the triangle, we use SOH CAH TOA to find out the trigonometric ratios.

O = 12

A = 9

H = 15

Sin θ = \frac {12}{15}, that we can simplify to \frac {4}{5}

Cos θ = \frac {9}{15}, that we can simplify to \frac {3}{5}

tan θ = \frac {12}{9}, that we can simplify to \frac {4}{3}

Giving us our 3 final answers.

Chose this subject to do this week because I was not there for the first lesson of trig, so when I came back next week on the Monday, I was completely lost on what to do. I remembered next to nothing about trig besides SOH CAH TOA, because we had to write that down every day for trig in grade 10. But now after sitting through the in class lessons, I feel a lot more confident.

 

 

 

PC11 – Week 6 – The Box Method of Factoring

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Why I chose the box method and factoring:

I completely forgot how to use the box method between math 10 and pre-calc 11. One i started to do the practice sheet of factoring given to me after the 2nd test, I started to remember the basic fundamentals I was taught in grade 10. The second sheet we were given about factoring with fractions and decimals also helped my understanding, as these are both things we did in grade 10.

(these papers are not fully answered, the rest of my work is on another sheet)

The Box Method:

The box method is a method used to factor trinomials.

The first questions ask you to factor 10x^{2} +17x +3

My first step to solving it was by drawing a 2×2 box. in the upper left corner of the box I put the 10x^{2}, and in the bottom right hand corner I put the 3.F

From here you multiply the 10x^{2} and 3, producing 30x^{2}. From there we need to find 2 numbers that multiply to 30, while also giving us the sum of 17 when added together. The answer is 2 times 15, because to times 15 is 30, and 2 + 15 is 17.

So, we put 2x and 15x in the top right, and bottom left corners (the order does not matter).

You then decide what the greatest common factor (GCF) is in each column. You would then put the 2x and 3  in one bracket, and the 5x and 1 in the other. So the final answer would be (2x+3)(5x+1).

here we can see I used the exact same box method, finding the GCF in the coloms, and getting an answer of (3x +1)^{2}

 

 

Rube Goldberg Project – Science 10

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Video:

Picture of design:

What the steps mean/how the machine works:

  1. We rev the toy car up 3 times, and position it close to the wall. We then let the car go, and it drives down the ramp hitting the swivel. The car has now served it’s purpose.
  2. The Swivel that is in between the ramp and the box that the marble is resting on now moves to knock the marble down, because of the car hitting the other side.
  3. The marble is now knocked onto a ramp, and staring to gain motion.
  4. The marble drops from one platform to the other.
  5. The marble then rolls into the cup threw its paper funnel for the pulley, knocking the cup down due to its weight, making that cup fall down. Meanwhile the other cup is beginning to be pulled up, since both the cups are connected by 2 pieces of string.
  6. the rising cup then makes the seesaw tilt since it is pulling it up. A second marble that was staying in the see-saw before it was tilted is now rolling down the tracks on the tilted seesaw.
  7. The second marble is now falling in the air, onto a slanted ramp. The marble then continues to roll down the ramp.
  8. The marble finally rolls into a funnel, leading the ball into a hoop, and making the marble hit a bell.

Types of Energy: 

  1. Mechanical 
  1. Gravitational 
  1. Elastic 
  1. Sound 
  1. Thermal 

Energy Transformations + when: 

Elastic -> Mechanical: When the car at the beginning is pulled back, forcing it forwards down the ramp, hitting the swivel. (step 1) 

Gravitational -> Thermal: When the ball rolls from ramp 1 to ramp 2, the ball falls due to gravity, and hits another ramp. (Step 4) 

Gravitational -> Sound: The marble falls down the funnel, threw the hoop, thus hitting the bell. (Step 8) 

Simple Machines explanations:

Swivel: The Swivel is the object the car hits to knock the marble down onto the other ramps. The swivel is spinning since it is rope glued to a wooden pike connected to cardboard that is suspended in the air.

Pulley: Made of 2 cups and a peace of string connecting them. The weight of the ball once it lands into the left cup makes that cup fall down, raising up the other cup. There is also a funnel on the left cup, and some more cardboard inside of it for added weight. We build a suspended platform for the pulley, and taped and put paper on certain spots for added speed of the pull.

Seesaw: The seesaw is made to be almost perfectly balanced, so the slightest hit would make it move. We did this by adding and subtracting weight to both sides until it was just right. The left side has a cup with a marble inside, and a track leading out of the small cup to lead the ball.

Slanted planes/ramps: we use 4 of these if you don’t include the seesaw.

TOKTW day 2022

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Name of my parent who took me to work: Greg Burdett 

His relationship with me: He’s my dad

The Interview:

  1. Q: What is your job title? A: He’s the owner of Select Sprinklers
  2. Q: What is your job description? A: He oversees all aspects of the company, helps guide subordinates.
  3. Q: What are the duties and/or tasks you perform at your job? A: He oversees all aspects of the company, helps guide subordinates, and guides company policy.
  4. What qualifications do you have for this job in the following areas: A) training: Trial and error, he started to company, and taught himself how to run it. B) education: A Bachelor of General Studies from Simon Fraser University C) experience: He worked for Fortis BC, and he worked for the City of Vancouver. D) skills and attributes (personal qualities): He works really hard; he has a dad that showed him how to do a lot of stuff.
  5. What are some of the things you like about the job? He likes that he has the freedom to choose whether he goes into work or not, he gets to choose who he hires/who works for him, he gets to choose what he does every day.
  6. What are some of the things you dislike about this job? Dealing with customers that aren’t logical, unnecessary government and safety regulations.
  7. How do you anticipate this job changing in the next 5 years or so? He probably won’t have to work as much or be as involved.
  8. (Other question) What’s 1 thing that you would change about your job? He wished that he could never lose any of his good employees

Student Reflections:

  1. Give three reasons why you would like this job (be specific): 1. I would get to work with my dad, my aunt, and all of the other good people that work for my dad. 2. I would get to work outdoors, I always liked being outside, and lots of the time if you’re doing field work you dig holes, plow snow, and install things outdoors. 3. I would have the chance to take over the business when I’m older. If I work for my dad for a long time, eventually I will get to take over the family business, and being the boss at your work is something that I’m interested in. Plus, I would get to keep this business alive, and pass it down to someone else later.
  2. Give three reasons why you would not like this job (be specific): 1. I would have to deal with a few customers that aren’t smart, and that would annoy me a lot. I’m not the best with dealing with people who are difficult, so this aspect would really tilt me. 2. Sometimes, I would have to work outside in bad weather. I like rain sometimes but having to be in rain or snow for an extended period of time would suck, because I would get really cold and damp. 3. You have to do a lot of driving around. If I worked with my dad, sometimes I would have to drive to places that re far away, in traffic, during rush hour. That’s really boring.
  3. Is this job for you? Why or why not? I think that this job is really for me. I would get to work with my dad, be outside, and continue Select Sprinklers. My most wanted job would to be a doctor, but I would also be really happy with this job. It has good pay and is cool.
  4. Explain the value of the TOKTW experience in relation to your ideas about your post-secondary (after high school) plans (education?, training?, travel?, work?). I feel like TOKTW didn’t change my ideas about what I’m going to do when I’m older. I still want to be a doctor and I still want to go to university. 1 thing that it might change is what university I go to when I’m older. I went onto the SFU campus on TOKTWD, and it was really cool. Everything seemed fairly clean, and cool. So SFU looked pretty good when I went there. But I still want to be a doctor when I grow up, I still would like to work for my dad, and I still want to travel the world when I’m young.

Some pictures of the places I went to for TOKTWD


Some videos I took:

Video 1: IMG_1692

Video 2: IMG_1697