## Desmos Portrait 2018 For my demos portrait, I was really confused about all the equations and how to keep them within a specific area so I could make a face. I mostly asked my friends and they helped me out with it because it was pretty confusing. I think I used most of the equations and it looks pretty funny so thats nice. My biggest challenge was doing the domain and range because sometimes it just wasn’t working and I had to change one thing to make it work but catching on to that was confusing and having so many different equations along the side of the portrait made me really confused about what I was supposed to do next. Also trying to make a nose was really confusing so I just decided to go with a Pinocchio nose because it was the easiest and it all depends on angles. Finding how to use a square root for my portrait was hard too but I decided I could use that as my nostrils. I used copy and paste a lot for making my hair because it’s fun and for replicating my eyes and nose on opposite sides. I don’t think I learned anything about functions and graphs it’s my worst math section so I spent most of the time making my demos portrait laughing because its pretty funny.

## Surface Area of a Sphere OE2018 For this activity, we cut an orange in half making two hemispheres. We took one hemisphere and traced as many circles as we could onto our sheet and then took the orange peel and took small pieces to see how much of the orange peel would fit into the circumference of the orange. I learned the formula for a surface are of a sphere is 4 πr2. By taking the circumference of the orange, the peel filled 4 circles which means that the circumference is multiplied by 4.

1. How much water does the Barrier contain behind it in the lake?
2. If the Barrier faulted, what do you think would happen? How much water would escape and what kind of power is the escaping water equivalent to?

The Barrier is a natural dam that holds back the water from Garibaldi Lake escaping and flooding into the valley below.

1. When you take the average depth of the lake (119 m) and multiply by the surface area of the lake (9.94 Km2), you convert the depth into kilometres, 0.119 km x 9.94Km= 1.8286Km3converting this into cubic meters is multiplying by 10003 m, 1.8286 10003 = 1,828,600,000mwhich is equal to 1,828,600,000,000 L. The Barrier is holding about 1,828,600,000,000 L of water.
2. The maximum depth of the lake is 258.7 m and the Barrier height is 243 m so the difference between the bottom of the lake to the beginning of the Barrier is 15.7m. If the Barrier was faulted, depending on how big or a crack and where this is would determine how much water would escape and how fast. If all the water that the Barrier was holding would escape there would still be a depth 15.7m containing water in the Lake so not all the water would escape. If the water was only 119m deep, a depth of only 103.3m of water would escape whereas if the depth was 258.7m, a depth of 243m of water would escape.

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

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