Project Description
The purpose of this project was to learn more about similarity and dilation. It was also to teach those who are going to take the sat just a little bit more that way they can pass it. This project was done in a series of projects. First we got into groups that we chose and made a poster explaining different parts of similarity and dilation. Then we got papers to further gain knowledge on those subjects. Then we went into the final part of the project where we created our creation.
Mathematical Concepts
Similarity is where you have two images that are the same but different sizes. For instance when you have a triangle that has three sides 6 in length and another that is 12 in length those would be similar. They are similar because they have a 2:1 ratio. While dilation is different it is where you have an image that is more of a stretch version. It is stretched from a point.
The relationship between similarity and proportion is that they are both relating to sizes and they are both in relation to ratios. They also have to do with how shapes relate to each other. Dilation and similarity are relating to the relation of sizes of shapes and also they are relating to how things are in proportion to each other.
Some connections that are in benchmark 2 and 3 are that in benchmark 2 we had to make the measurements for the thing that we were scaling. In benchmark 3 we where taking those numbers and putting them into reality.
Exhibition
Benchmark one was where we had to send in what we where planning at that time to scale down and who our partners where. The purpose of that was to let Dr. Drew know what we were planning on doing. For benchmark 2 we had to turn in the measurements and the draw up of the scale model we did. For this me and my partner had to get the size of the pyramid of giza and get it to a size that we liked and it turned out to be a 1750:1 in ratio. The purpose of this was to get our minds set on what we were going to do. For benchmark 3 we had to grade ours and our partners work if we had one. We also had to turn in our product with this benchmark. The purpose of this benchmark was to close up the project and bring it to an end.
The math that I did for benchmark 2 and 3 was quite simple. What I did was I kept increasing the number that i was dividing by till I got a number I liked. So for the pyramid I stopped at the scale factor of 1750 because that puts the size of the pyramid at a quarter of a foot or 3 inches.
Reflection
I found this project to be very easy because I have done a lot with similarity in the past. But when we got to the scaling our world part I did run into some problems because me and my partner wanted to use the 3d printers. What happened was that the one that we needed to use got broken. So in order to finish this project we had to kind of improvise. What we did was we took a pyramid to scale which will be smaller but we can get it done. So that is what we did and that was one of our challenges that we faced and how we made it into a success.
The purpose of this project was to learn more about similarity and dilation. It was also to teach those who are going to take the sat just a little bit more that way they can pass it. This project was done in a series of projects. First we got into groups that we chose and made a poster explaining different parts of similarity and dilation. Then we got papers to further gain knowledge on those subjects. Then we went into the final part of the project where we created our creation.
Mathematical Concepts
Similarity is where you have two images that are the same but different sizes. For instance when you have a triangle that has three sides 6 in length and another that is 12 in length those would be similar. They are similar because they have a 2:1 ratio. While dilation is different it is where you have an image that is more of a stretch version. It is stretched from a point.
The relationship between similarity and proportion is that they are both relating to sizes and they are both in relation to ratios. They also have to do with how shapes relate to each other. Dilation and similarity are relating to the relation of sizes of shapes and also they are relating to how things are in proportion to each other.
Some connections that are in benchmark 2 and 3 are that in benchmark 2 we had to make the measurements for the thing that we were scaling. In benchmark 3 we where taking those numbers and putting them into reality.
Exhibition
Benchmark one was where we had to send in what we where planning at that time to scale down and who our partners where. The purpose of that was to let Dr. Drew know what we were planning on doing. For benchmark 2 we had to turn in the measurements and the draw up of the scale model we did. For this me and my partner had to get the size of the pyramid of giza and get it to a size that we liked and it turned out to be a 1750:1 in ratio. The purpose of this was to get our minds set on what we were going to do. For benchmark 3 we had to grade ours and our partners work if we had one. We also had to turn in our product with this benchmark. The purpose of this benchmark was to close up the project and bring it to an end.
The math that I did for benchmark 2 and 3 was quite simple. What I did was I kept increasing the number that i was dividing by till I got a number I liked. So for the pyramid I stopped at the scale factor of 1750 because that puts the size of the pyramid at a quarter of a foot or 3 inches.
Reflection
I found this project to be very easy because I have done a lot with similarity in the past. But when we got to the scaling our world part I did run into some problems because me and my partner wanted to use the 3d printers. What happened was that the one that we needed to use got broken. So in order to finish this project we had to kind of improvise. What we did was we took a pyramid to scale which will be smaller but we can get it done. So that is what we did and that was one of our challenges that we faced and how we made it into a success.