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Week 16 in Precalc 11 – Special Triangles

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This week in Pre-calc 11 we learned about special triangles and how we can find their ratios without using a calculator. I chose to write about this topic because knowing this topic can help recognize patterns in trigonometry and make them much easier to work with.

There are two special triangles in trigonometry. First the 45-45-90 triangle and the 30-60-90 triangle and like all right triangles they add up to 180 degrees.

Now here’s how we apply it.

Let’s say you are working with a rotation angle of 300 degrees that means we know that the reference angle is 60 degrees.

And we know of a special right triangle that has a 60 ratio meaning we know the X and Y variables of tan.

 

 

Week 3 in Precalc 11 –

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In this weeks class, I learned when adding radicals together, you can simplify the equation by combining like terms together. This is similar to combining like terms in algebraic expressions.  

 

Here’s how it work 

  1. Identify radicals: The way you can identify radicals with like terms is  by seeing if the radicand is the same 
  2. Combine the coefficients: Add or subtract the coefficients of the like terms together 
  3. Now for the last step keep the the root and the radicand the same 

 

Here is an example: 



 

 

 

 

Notice how the we got 4 even if there was no number in – root 3 that’s because there is an invisible one in front of it. Secondly do you see that 4 root 3 is not added with root 2 it’s because they don’t have the same radicand base (no like terms)

This concept can also be applied to other mathematical operations and expressions. For example, when multiplying or dividing radicals, you can simplify by multiplying or dividing the coefficients together and keeping the root and radicand unchanged. Another place you would most likely see this being used is when doing polynomial.

Community Connections

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Community Connections

For my community connections project, I interviewed Mr. Jim Pound who volunteers as a Scouter in the 9th Poco scouts’ community
which I joined 4 years ago I chose to interview Mr. Jim Pound because I am passionate about the outdoors camping, and hiking which
he has been directly involved in creating yet there are still many things that I do not yet know about my community. In this interview,

Mr. Jim pound told me what it is like to be a scouter and help in the background of events here are some of the questions I asked him
during the interview.

Can you explain your roles and responsibilities with your current position?

“My role currently, my primary role is the quartermaster for the group, so I take care of all the tents and the equipment and those kinds
of things, making sure that it is in proper working condition. My secondary role in supporting the program Scouters, I support them

when they need so sort of outdoors experience when they need someone to help them with camping, hiking, and backpacking basically
taking care of the equipment so others can use them and support other Scouters and the group community in the background.”   

What obstacles have you faced to get you where you are today? 

“I think an obstacle would be volunteerism most people are doing things because they want to help so sometimes, they might not live up to
expectations and sometimes you need to sit back and realize that these people are not being paid to do a job they are volunteering to do it
as much as you like somebody to do something more involving you cannot really make that expectation because we already have other
commitments s sometimes people have more expectations than I can give them another obstacle is money/funding you would like to have

new tents you would like to have the best equipment but it all costs money but where is that money coming from but this is where the
fundraisers and the donations come in.”

What advice would you pass on to someone interested in what you are doing?

“Umm, advice well there is always this comical saying that we have in scouting when you are recruiting somebody to become a scouter you

say well it is only an hour and a half or two hours a week then we laugh about it because we know even though the scout meeting is two
hours a week it is not. There are all sorts of planning and preparation bunt unfortunately because of covid we have not been able to do ask
many outdoor activities that we like but normally there are one or two weekends every month that we go camping those sorts of things and
it’s not a paid job realistically you are going to meetings you are spending your money on gas, and you are not going to be reimbursed for it
and you are not expecting to be reimbursed so I think part of that advice is that it takes time you have to be upfront with people you have
to be honest it’s not just two hours a week its more than that and to have fun some other advice I would give is to reach out if they
feel they are overwhelmed they don’t ask for help so when you need help reach out basically my big advice is communication.”  

Why are you passionate about your job or role?

“I think in some ways it is giving back my son who is 44 years old almost 45 and he started bevers since he was 5 years old, so I have been
involved in scouting for 40 years as an adult I believe in the organization, and I had fun when I was a youth and an addition to my adult years
I was a cub I was a scout I was a venture many years ago and I fairly enjoy it and I think it helped me enjoy and appreciate mother nature the
outdoors camping hiking, backpacking, cannoning I grew up my parents enjoyed camping so as a kid we would always go camping and that
was our holidays every summer when my dad days off work he would take us on camping trips it would be family camping I never did any
ventures as far as backpacking that all came from scouting I just remembered that as an adult I kind of want give back because I enjoyed
that when I was a kid and I think there is just too much technology nowadays with climate change and everything that we kind of forget that
we need to take of the world we only have one planet it’s finite and I think people need more of an awareness of that I would like to give back.
I enjoyed it, I benefited from it, and I think other people will get a benefit from scouts as well.” 

How long have you been active in the scout’s community? 

“Achievements in the scouting community, you know there is not a reward system you know where you spend so much time and do things
and some people thank you for it and you get plaques and you get a certificate, I must admit they are nice I have them hanging on the wall
and they bring back memories the thing that I get the most satisfaction out of is I’ll give you an incident so we were at PJ in 2019 and I was
walking down one of the roads at PJ and there was a young man walking familiar and I remembered him from my days being a scout leader
and I called out I said Peter? Then he turned around and looked at me then said, Scouter Jim? And here is a young guy now not so young,
he is in his forties now, but he remembered me as a positive influence on his life and that is what gives me the biggest charge every now and
then ill bump into somebody be it on the street or even you guys when coming to your meeting just to know I have contributed make these
guys happy is a reward you cannot really put into words it gives you the warm fuzzy feeling that you accomplished something.” 

What are some achievements that you have made in the scout’s community?

“I have been volunteering as an adult for 40 years and I was in the scout moment I was a cub, and a scout then a venture guess about 7-8 years
around 49-50 years in scouting.”  

 

Picture of Jim Pound

Here is a link to Jim Pounds: https://www.facebook.com/hj.p.52/?show_switched_toast=0&show_invite_to_follow=0&show_switched_tooltip=0&show_podcast_settings=0&show_community_transition=0&show_community_review_changes=0

Dragons Den Solution Fluency

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Define

 

During our first brainstorm, we had thought of multiple ideas, but we ended up with 3 choosing 3 main ideas. The 3 ideas that we concluded were human waste, global warming, and traffic. While on the topic of human waste we had thought about #TEAMSEAS an organization cooperating with Mr. Beast and wanting to save the usage of water. Sinks are one of the most used plumbing equipment we use in our daily lives, so we decided to create a product relating to it. 

Discover

After we had decided on the problem, we wanted to solve it, so we did research to see if our idea already existed to base off. We had only found motion sensor sinks or ones that activate in a fixed time. However, we saw a flaw in the ones we had found were not very versatile and can only be used in public spaces due to their set time and we wanted it to be customizable so it can also be used at home. 

Dream

When we first started planning, our idea was to create a product that could stop the flow of water in a customizable amount of time, so we decided to base on existing ideas like the automatic faucet. The first idea was to use microbit as a motion sensor that would start a timer in a customizable amount of time. After the timer had finished, it would stop the water, but after seeing the resources we had, we started to brainstorm again on our design. Our new idea was that a microbit was attached to a tap then when you turned on the water it would detect the movement. Then, start the timer. After that was finished, we used a motor to close the tap which would be more convenient in homes while saving money and water. 

 

 

Design 

Our plan for the dragon’s den project was for two people to code and for one person to create the model for the product I was the one assigned role. My other two partners were searching online on how to create a motion sensor code which they had figured out while I was helping them find parts, they needed at the time we had in class back home I would use spare cardboard around my apartment. A couple of days before the day of the presentation I created an elevator pitch script and replies to the questions that the investors will ask us. 

Debrief

 

We spent an extended period figuring out the code with the material we had and searching on the web to find what we needed still the deadline was coming nearer. Due to that, we had made a script later than most groups and were unprepared, so we ended up messing up some parts of the script. While we were presenting the motor failed in Infront of the dragons even though it had worked multiplied times beforehand, so we just needed more time to refine our ideas. I had a fun time working on the dragon’s den from creating the model to working with electrical circuits. 

 

 

 

 

 

 

 

 

 

 

 

 

 

Aquatic Field Studies

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Aquatic Field Studies

The objective of our field study at the Coquitlam River and the Oxbow Pond was to see what types of vertebrates live in different qualities of water and see the difference in how they interact with their separate environments. We were looking at the hydrosphere and the biosphere of how they intertwine with each other connecting this with our 4 spheres unit. 

 

When my group was doing our field studies at the Coquitlam River site trying to find invertebrates but sadly could not find any and collecting water samples. Using the water sampling kit that was given to us by SFU we figured out the water quality of the water samples, The pH level was 6, Nitrates were 10ppm, Phosphates were 0.4, Dissolved Oxygen was 92, Turbidity was 2 and the total Dissolved Salts were 50. The approximate water quality index was 79 which indicates that the water quality of the river is in good health.  

 

In the Oxford Pond site, we had found multiple invertebrates, 1 stonefly, 2 fish at the larval stage, and a stick bug to name a few. We have also tested the water quality. The pH level was 6.5, Nitrates were 10ppm, Phosphates were 5, Dissolved Oxygen was 90, Turbidity was 8 and the total Dissolved Salts were 100. The approximate water quality index was 72, meaning the health of the water in the pond was decent and able to support life. 

 

Comparing the 2-water test results we had from the Coquitlam River and the Oxford Pond we found that the water from the Coquitlam River was better quality than the Oxford Pond. This is due to the fast water flow which Is cleaner than still or slow water however we had found more invertebrates in the pond this may be due to the less human intervention the pond.  

 

I really enjoyed learning some of the technics when doing field studies helped me learn what good water quality is more than meets the eye like the pond water for example, I hypothesize that the quality of the pond water was drastically lower than the river samples, but it was closer than I thought I have learned that things go deeper than what you think. This would be more memorable for me if we had visited more diverse types of bodies of water