Archive of ‘Math 10’ category

Desmos Portrait 2018

I found this assignment extremely complicated and time consuming. It took me a while to figure it out but once I got the hang of it I was able to create lines quicker. I found it interesting how it took so long just to make a simple picture that is not at all what I wanted my picture to look like. When figuring out equations it was really trial and error. I just threw a bunch of different function together to see what it would give me. Then I would replace numbers and adjust from there. I did have to ask my friends for help and we would help each other make different features. For example, I would work on the mouth while my friend would figure the eyes and then we would share our equations. This assignment helped me understand how one small decimal or change can make the line look completely different.

Self-evaluation in Functions OneNote folder.

Surface Area of a Sphere OE2018

What did you do?

For this task we were to cut an orange into hemispheres and then peel the orange. Then we filled as many circles with orange peels as possible. One of our strategies was to peel small pieces so the peels could lay flat and take up more space in the circle. In the end we ended up with 4 full circles.

What did you learn?

I learned the formula to find the SA of a sphere and how to maximize space.

The surface area of a sphere is 4(pi)(r)2 because the formula for one circle would be pir2. We have to multiply because there are 4 full circles filled with orange peels.

Garibaldi Lake Task

Garibaldi Lake is a glacier fed lake near Squamish, British Columbia. Its beautiful turquoise waters are contained in the lake by a dam called The Barrier. The barrier was created by lava flow and is said to be unstable. It has already let water pass many times but only recent of 1856. AN eruption cause lava to flow but pooled when it came in contact with ice. The lava eventually created a ponded area. When the ice melted away the cooled lava flow formed a cliff. Water pooled behind the lava dam and created Garibaldi Lake. We were asked to find the estimated amount of water in Garibaldi Lake and what would happen if the barrier were to break.

Hike to turquoise waters of picturesque Garibaldi Lake near Whistler, BC, Canada. Very popular hike destination in British Columbia.

Estimate how much water the lake contains:

We can use the average depth and surface area to find the amount of water in the lake. First multiply the average depth (119m) with the SA (9.94km3) which gives us 1,182,860m3. Now we have to convert the metres cubed to litres because we are dealing with liquid mass. Take 1,182,860m3 and multiply by 1,000L which equals 1,182,860,000L, this is the estimated amount of water the lake holds.

What would happen if the barrier faulted?:

If the dam were to collapse the water would rush out into Rubble Creek and flood the valley below. It would cause damage to natural habitats and would affect many species. They would have to find a new home and adapt to new situations. It could also wipe out trees and flood nearby creeks as well as the Sea to Sky highway. However, most of the water would not flow out because there are uneven surfaces and the bottom of the lake. I think about 1/4 of the lake’s water would be kept inside any deep hallowed areas. A cubic meter of water at 4 degrees Celsius weighs 1,000kg. The temperature of the water is important because the density varies based on temperature. The water in Garibaldi Lake is about 2 degrees Celsius making a cubic meter of water 0.999944g.


Garibaldi Lake: Everything tourists (and you) need to know before you go

Garibaldi Lake Hike near Whistler

Given information on OneNote