iCLASSahedron
Project Description
The goal of this project is to bring the students of Dat Team Cray together through the exploration of one another’s strengths and interests. We will achieve this through the creation of truncated-triangular pyramids. Each of us will be creating our own truncated-triangular pyramid to help us understand the math behind creating this particular shape, as well as the shapes that can evolve from a simple circle. Once our triangles are formed, we will decorate the larger surface with a representation of a career(s) that inspires us. We will then decorate the smaller circle with representations of qualities we admire about ourselves. When each of us complete our truncated-triangular pyramids, they will be put together and displayed on back to school night. Overall, we will be learning the math concepts behind truncated-triangular pyramids, as well as getting to know one another.
Brainstorms & Quickwrites
Q1: What is one quality you admire about yourself?
A1: Something that I value about myself is my behavior during conflict or uncomfortable situations. I always am trying to avoid nasty arguments by keeping a good attitude, making jokes, saying weird stuff, or just explaining how I don’t enjoy being in that sort of situation. I do my best to listen to the opinion’s of others and apply their input to my behavior, work, whatever the issue may be. This always makes others feel that I understand where they’re coming from, therefore “defusing” a situation.
Q2: What is a career(s) that inspires you?
A2: I have always wanted to own my own business, by my own boss. What has always been foggy was what exactly I wanted my business to be. I have finally decided that I want to own my own coffee shop, or cafe. It would be a place to just go and hang out, get work done, meet up with friends, and get one super delicious cup of coffee. Not to mention, the delicious pastries that I would have to offer. I would decorate it with antiques and unique art. There would always be the best music playing. All in all, it would be a place to just kick back and relax.
Q3: In what ways does math relate to your career(s)?
A3: Math is involved in my career in a number of ways. As the owner, I would be responsible for paying all of the employees. I would also need to find the cost of my cafe when it’s first being opened. I would need to calculate the cost of my supplies and how much it would cost to restock them as needed. When creating a menu, I would need to use math to determine reasonable and profitable prices for my beverages and food. Not to mention the simple math involved in transactions.
A1: Something that I value about myself is my behavior during conflict or uncomfortable situations. I always am trying to avoid nasty arguments by keeping a good attitude, making jokes, saying weird stuff, or just explaining how I don’t enjoy being in that sort of situation. I do my best to listen to the opinion’s of others and apply their input to my behavior, work, whatever the issue may be. This always makes others feel that I understand where they’re coming from, therefore “defusing” a situation.
Q2: What is a career(s) that inspires you?
A2: I have always wanted to own my own business, by my own boss. What has always been foggy was what exactly I wanted my business to be. I have finally decided that I want to own my own coffee shop, or cafe. It would be a place to just go and hang out, get work done, meet up with friends, and get one super delicious cup of coffee. Not to mention, the delicious pastries that I would have to offer. I would decorate it with antiques and unique art. There would always be the best music playing. All in all, it would be a place to just kick back and relax.
Q3: In what ways does math relate to your career(s)?
A3: Math is involved in my career in a number of ways. As the owner, I would be responsible for paying all of the employees. I would also need to find the cost of my cafe when it’s first being opened. I would need to calculate the cost of my supplies and how much it would cost to restock them as needed. When creating a menu, I would need to use math to determine reasonable and profitable prices for my beverages and food. Not to mention the simple math involved in transactions.
Folding Instructions
1. Fold the circle in half.
2. Fold the half circle in half.
3. Unfold to see the original circle with two lines intersecting.
4. Put a point where the two lines intersect.
5. Looking at only half of the circle, fold the outer edge to the middle point. This makes the chord of the first circle.
6. Fold the other side of the circle towards the opposite direction, creating a point at the tip of both chords.
7. Fold the remaining side to create another chord.
8. Bring the top point and fold it to the center of the bottom of the triangle to make a polygon.
9. Fold the small points at the bottom so that they are touching the big points at the top, forming a rhombus.
10. Fold this shape in half, so that the top point of the rhombus is touching the bottom point.
11. Unfold the small triangle until you have your large triangle back.
12. Fold each of the three points so that they are touching the center dot, forming a hexagon.
13. Lift the three sides to form a pyramid.
14. The sides will want to fold on themselves. Let them. This will create your truncated triangular pyramid.
2. Fold the half circle in half.
3. Unfold to see the original circle with two lines intersecting.
4. Put a point where the two lines intersect.
5. Looking at only half of the circle, fold the outer edge to the middle point. This makes the chord of the first circle.
6. Fold the other side of the circle towards the opposite direction, creating a point at the tip of both chords.
7. Fold the remaining side to create another chord.
8. Bring the top point and fold it to the center of the bottom of the triangle to make a polygon.
9. Fold the small points at the bottom so that they are touching the big points at the top, forming a rhombus.
10. Fold this shape in half, so that the top point of the rhombus is touching the bottom point.
11. Unfold the small triangle until you have your large triangle back.
12. Fold each of the three points so that they are touching the center dot, forming a hexagon.
13. Lift the three sides to form a pyramid.
14. The sides will want to fold on themselves. Let them. This will create your truncated triangular pyramid.
Draft One
Critique Session
1. Describe the aesthetic of the triangle. Does the image cover the entire thing or are there details you feed could be added?
Jessica: “The image covers the entire thing. Very detailed.”
Sydney: “Great! Evenly spaced.”
2. Is the image detailed enough that it could cover a space that is significantly larger?
Jessica: “Definitely! There is already a lot of detail so it would look better on a larger space.”
Sydney: “Yes, it will cover it nicely.”
3. Are there any specific improvements you suggest?
Jessica: “Not really, just add color.”
Sydney: Put a bag of coffee beans in there.”
4. What are specific qualities of this image you think work well?
Jessica: “I really love how you made it look so much like a cafe. It’s really cute!”
Sydney: “All the details, and how it looks like a little shop.”
5. Does the image subtly include mathematics? How did you know or what would you suggest adding?
Jessica: “Since there is a lot of design, it can relate to mathematics a lot.”
Sydney: “Yes, the cash register shows counting money.”
6. Does the image represent the career well? HOw did you know it was the career or what would you suggest adding?
Jessica: “It’s all really great, maybe you could add a sign that says, ‘so and so’s cafe,’ or something. Good job!”
Sydney: “Just coffee bean bag and you’re good!”
Jessica: “The image covers the entire thing. Very detailed.”
Sydney: “Great! Evenly spaced.”
2. Is the image detailed enough that it could cover a space that is significantly larger?
Jessica: “Definitely! There is already a lot of detail so it would look better on a larger space.”
Sydney: “Yes, it will cover it nicely.”
3. Are there any specific improvements you suggest?
Jessica: “Not really, just add color.”
Sydney: Put a bag of coffee beans in there.”
4. What are specific qualities of this image you think work well?
Jessica: “I really love how you made it look so much like a cafe. It’s really cute!”
Sydney: “All the details, and how it looks like a little shop.”
5. Does the image subtly include mathematics? How did you know or what would you suggest adding?
Jessica: “Since there is a lot of design, it can relate to mathematics a lot.”
Sydney: “Yes, the cash register shows counting money.”
6. Does the image represent the career well? HOw did you know it was the career or what would you suggest adding?
Jessica: “It’s all really great, maybe you could add a sign that says, ‘so and so’s cafe,’ or something. Good job!”
Sydney: “Just coffee bean bag and you’re good!”
Final Truncated Triangular Pyramid
Reflection
1. How did this project show community connections?
This is one of the first projects that I’ve completed in my HTH career that I really feel has connected to the world outside of school. Not only did we get to express ourselves by sharing our future careers with the classmates, but we had the chance to see how math can relate to our futures. We took a deeper look into the elements incorporated into each student’s career and how the skills we learn in school will help us succeed in each of those fields.
2. Describe the connection to mathematics.
As I said before, we got to see how math could relate to each of our careers. I found it fun, yes fun, to think of all of the ways that math is used when opening a business, as well as maintaining it. It’s necessary to have certain math skills when ordering, stocking, pricing, planning, even the simple task of working a register. The ways are numerous and I will never again say, “I won’t even use math outside of school!”
3. Explain one element that was most enjoyable about this project.
I think that getting to know what all of the other student’s aspire to be was the most enjoyable aspect of this project. I would never have guessed some of the careers chosen by my classmates to be their dream and I feel that I’ve gotten to know each of them a little better. Drawing out my Cafe on my first draft triangle was also a lot of fun because I felt like I was really designing it right then and there. It added some pressure, but I loved getting advice from the students at my table. I think that this project was really creative and I can definitely say that it was enjoyable.
This is one of the first projects that I’ve completed in my HTH career that I really feel has connected to the world outside of school. Not only did we get to express ourselves by sharing our future careers with the classmates, but we had the chance to see how math can relate to our futures. We took a deeper look into the elements incorporated into each student’s career and how the skills we learn in school will help us succeed in each of those fields.
2. Describe the connection to mathematics.
As I said before, we got to see how math could relate to each of our careers. I found it fun, yes fun, to think of all of the ways that math is used when opening a business, as well as maintaining it. It’s necessary to have certain math skills when ordering, stocking, pricing, planning, even the simple task of working a register. The ways are numerous and I will never again say, “I won’t even use math outside of school!”
3. Explain one element that was most enjoyable about this project.
I think that getting to know what all of the other student’s aspire to be was the most enjoyable aspect of this project. I would never have guessed some of the careers chosen by my classmates to be their dream and I feel that I’ve gotten to know each of them a little better. Drawing out my Cafe on my first draft triangle was also a lot of fun because I felt like I was really designing it right then and there. It added some pressure, but I loved getting advice from the students at my table. I think that this project was really creative and I can definitely say that it was enjoyable.