May 19

Desmos portrait 2018

How did you figure out which equations to use?

I found that the function dance moves in the one note were very helpful as they showed me what the function would look like. I could then visualize what i wanted to make using these functions, after that it was just plugging numbers into the equations until I found the right set of numbers.

Did you face any challenges?

It could take awhile to find the right numbers to put in the equation. Sometimes I would put in numbers that I was sure would make the function the proper length or width but then they didn’t work. So this could be frustrating but i eventually got through this with patience and multiple tries.

Did you get help?

I didn’t get any help, I wanted to do this by myself as I felt this was a good way to practice my functions.

Did you use any strategies?

I started with the easier relations and functions, for example the circle i used as a head was a relation and i just had to put in numbers, i didn’t have to add a range or domain. I also worked on the body as it was just going to be linear relations which are pretty easy to use. Then once i finished all the easier stuff that i knew how to do i moved on to the more challenging functions.

What did this assignment help you understand about functions, relations, and their graphs?

I think this assignment was really helpful as it was a great way of showing me that each function will look different. It was just nice to have a visual representation of this, it was also cool to experiment on desmos.com.

Self Assesment:

Process: 4/4

Caricature: 3/4

Equations: 7/10

Creativity and complexity of equations: 8/10

24/28

Category: Math 10, Uncategorized | LEAVE A COMMENT
March 14

Garibaldi Lake Task

In this assignment i will aim to find out just how much water there is within Garibaldi Lake. I shall also be answering these questions:

Estimate how much water the Barrier contains behind it in the lake

If the Barrier faulted, what do you think would happen? Consider how much water would escape, and what kind of power is the escaping water equivalent to?

If we are to find how much water there is in the lake we must first find the volume. To find this we must multiply the surface area by the average depth. The surface area is 9.94km² and the average depth is 119m. When we measure the volume we want the units in litres

9.94km² = 9 940 000m²

9 940 000m² is the surface area so we then multiply by the average depth which is 119m to get the volume.

9 940 000m² x 119m = 1 182 860 000m cubed

Next we have to change this to litres to find how out how much water is within the lake.

1m cubed is 1000L so 1 182 860 000m cubed x 1000L =

1 182 860 000  000L of water

this is an over estimate as the depth of the water isn’t all going to be at the same level.

If the barrier broke and all of the water came out 1 182 860 000kg of force would be rushing out as 1L is equal to 1kg. This can’t happen though as the bottom of the lake isn’t flat but is rounded and the barrier is higher than the water so it can’t all rush out at once if at all. This will decrease the number of litres of water that will rush out and in turn decrease how much force is created. The destruction would still be absolutely devastating to all the land that was hit by this sudden wave of water.

Sources

https://en.m.wikipedia.org/wiki/Garibaldi_Lake

https://en.m.wikipedia.org/wiki/The_Barrier

 

Category: Math 10 | LEAVE A COMMENT
March 14

Surface area of a sphere OE2018

In this activity we used oranges to determine the formula for the surface area of a sphere. To do this we first cut the orange in half to give us two hemispheres, we then used these to trace four circles. After tracing the circles we began to peel the oranges. With the peels we started to fill the circles we had traced without overlapping and we had to completely fill the circles. Everyone in class was able to fill 4 circles so using this we can find the formula. If the area of a circle is πr² and we can fill 4 circles with the entire surface area of the sphere this means the formula is 4πr².

Category: Math 10 | LEAVE A COMMENT