POD Reflections
End of Semester Essay
Even though most students don’t grow up to be mathematicians, math can very much help you in everyday life. I think that math not only teaches you equations and numbers, but also critical thinking skills. You learn ways to solve long problems faster and easier, and you can apply that to everyday life. I think math can help you make hard decisions, because of the critical thinking skills you learn.
Not only does math help you with critical thinking skills, but also with everyday life. Imagine you’re older and you need to start paying taxes and bills. Imagine you’re at a grocery store and you need to figure out what 20% off of $5.25 is. Both of those scenarios require math. Also, math will also greatly help with budgeting later in life. If you're on a tight budget, you will need math to help you, I guarantee it.
I think a lot of students are reluctant to like math simply saying they're bad at it without trying. I think if they came to class with an open mind and tried their hardest, they might actually like it. Because learning math not only helps your grades, but it also helps you later in life.
Even though most students don’t grow up to be mathematicians, math can very much help you in everyday life. I think that math not only teaches you equations and numbers, but also critical thinking skills. You learn ways to solve long problems faster and easier, and you can apply that to everyday life. I think math can help you make hard decisions, because of the critical thinking skills you learn.
Not only does math help you with critical thinking skills, but also with everyday life. Imagine you’re older and you need to start paying taxes and bills. Imagine you’re at a grocery store and you need to figure out what 20% off of $5.25 is. Both of those scenarios require math. Also, math will also greatly help with budgeting later in life. If you're on a tight budget, you will need math to help you, I guarantee it.
I think a lot of students are reluctant to like math simply saying they're bad at it without trying. I think if they came to class with an open mind and tried their hardest, they might actually like it. Because learning math not only helps your grades, but it also helps you later in life.
POD #9: Region Mapping- Voronoi Diagrams
Worksheet
Reflection Paragraph:
Making a Voronoi Diagram was completely new to me. In fact, I didn't even know what a Voronoi Diagram was until I did this POD. In order to complete this POD, I had to learn how to perpendicularly bisect a line. Then, once I had bisected all the necessary lines, I had to divide the ten points into their own little bubble. On top of that, I had to make sure that when inside a certain point's bubble, you were closest to only that point. It was pretty hard!
Worksheet
Reflection Paragraph:
Making a Voronoi Diagram was completely new to me. In fact, I didn't even know what a Voronoi Diagram was until I did this POD. In order to complete this POD, I had to learn how to perpendicularly bisect a line. Then, once I had bisected all the necessary lines, I had to divide the ten points into their own little bubble. On top of that, I had to make sure that when inside a certain point's bubble, you were closest to only that point. It was pretty hard!
POW #6: Solving Word Problems
Today for our POD, everybody got a word problem to solve. First we learned to proper steps to solving a word problem:
1.) Read the problem
2.) Underline/ Highlight important info
3.) Draw a diagram
4.) Reread the problem
5.) Solve the problem
Then, we solved our problems. In my problem, I used multiplication and subtraction to find the answer.
Here is a link to my work
Today for our POD, everybody got a word problem to solve. First we learned to proper steps to solving a word problem:
1.) Read the problem
2.) Underline/ Highlight important info
3.) Draw a diagram
4.) Reread the problem
5.) Solve the problem
Then, we solved our problems. In my problem, I used multiplication and subtraction to find the answer.
Here is a link to my work
POW #5: 2D and 3D Representations
POD #1: Rollar Coaster Analysis
The Leviathan
Statistics:
statistics via http://leviathan.canadaswonderland.com/public/ride/statistics.cfm
Lift Height: Approx. 306' (93.3m)
Angle of Descent: Approx. 80 degrees
Speed of First Drop: Approx. 92 mph
The Leviathan
Statistics:
statistics via http://leviathan.canadaswonderland.com/public/ride/statistics.cfm
Lift Height: Approx. 306' (93.3m)
Angle of Descent: Approx. 80 degrees
Speed of First Drop: Approx. 92 mph
Proof of my Analysis:
For my first POD, I chose to to analyse the Leviathan rollar coaster from Canada's Wonderland. The manufacturer said the angle of descent was approx. 80 degrees, so I copied a picture of the drop onto GeoGebra to see if he/she was right. My calculations told me the angle of descent was 78.19 degrees, pretty close! I agree with the manufacturers calculations. Pretty steep drop! Looks like fun!
If I had a partner working with me on the same coaster, I would have compared results with them. But, unfortunately, I was working all by myself.
Key Concept Questions:
If I had a partner working with me on the same coaster, I would have compared results with them. But, unfortunately, I was working all by myself.
Key Concept Questions:
- The sum of the angles in ANY triangle is 180 degrees.
- The sum of the two smaller angles in a right triangle equals 90 degrees.
- The two smaller angles of a right triangle are acute angles.