These past few week in class we have been learning a lot of content, the donut above being one of the projects. This is our "Scaling The World" Project and classwork. Our main goal would be our end exhibition when we exhibit all our work. The reason we did all this is so we understand the full meaning of what these concepts that ill be describing are.
We were taught about many things and were asked to show our knowledge for 6 different topics which i'm going to be explaining to you. The first thing we did was split up into groups and we were all assigned a specific topic. My group was "Definition Of Similarity" which we enjoyed. We had to make a poster for similarity which was 4 pictures, 2 showing similarity and 2 not, then the definition at the bottom with designs on the page to make it pop. Each project we did led up to each other and everything started making sense . In the end we all got into our groups and we got to scale up or scale down anything of our choice and my group chose to make a giant donut.
Altogether we had to learn 6 things, I will begin to explain them by starting with triangle congruency. Triangle congruency is when 2 triangles have all the same angles and sizes. Its when 2 triangles are exactly the same. When 3 sides have the same lengths and angles.
We were taught about many things and were asked to show our knowledge for 6 different topics which i'm going to be explaining to you. The first thing we did was split up into groups and we were all assigned a specific topic. My group was "Definition Of Similarity" which we enjoyed. We had to make a poster for similarity which was 4 pictures, 2 showing similarity and 2 not, then the definition at the bottom with designs on the page to make it pop. Each project we did led up to each other and everything started making sense . In the end we all got into our groups and we got to scale up or scale down anything of our choice and my group chose to make a giant donut.
Altogether we had to learn 6 things, I will begin to explain them by starting with triangle congruency. Triangle congruency is when 2 triangles have all the same angles and sizes. Its when 2 triangles are exactly the same. When 3 sides have the same lengths and angles.
The next topic is the topic my group worked on, similarity. Similarity is when 2 shapes are the same but different sizes. In our groups, we had to make sure our donut was similar to a regular donut in as many ways as we can get. In our group we were pretty successful in making it look like a regular donut.
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YouThe third topic is ratios and proportions. When we talk about ratios we are normally comparing 2 or more things, which is correct. Ratios is just a portion of something bigger. Proportions are what is shown above, which is a part of something bigger similar to ratios but are slightly different. Above you would have to take 21 and divide it by 3 and you'd get 7 which you take that 7 and divide the congruent part for x and in this case you'd get 2 for x. For my scale project I had to use proportions in order to bake the donut right.
One of the last topics is proving similarity, there is many ways to prove it. This is one of the harder topics, If your using triangles which makes it much easier to deal with this topic you could assume if 2 out of the 3 angles are the same then the third has to be the same. If we try to prove similarity we can check the angles and if they're the same but different sizes you can prove that they are similar. It is easy in the moment to prove similarity but explaining it is kind of hard to do.
When we were learning about dilation we did a thing with a pencil and a rubber band. It was cool because we drew a picture while tracing another picture and however many rubber bands we had on is how many times bigger it got and i think that was very cool. Dilation is just a moving of the shape, making it bigger, mirror or reflect. Dilation is a lot more common then most other elements.
When dilation effects area and perimeter it basically refers to what I was saying in the last paragraph. If the area gets bigger, the perimeter gets bigger. I think its like proving similarity when the area increases the perimeter increases.
This scaling my world project was within real life things and getting used to being able to do that and I find it really interesting how they got it to let us be hands-on with the real world by making the project that fits so well with what was actually going on. At first we just put down everything we knew about congruence and similarity by getting into groups and making a poster for each one it was really fun and we got to learn new things with our friends.
We had four check points that we had to do and the first one was coming up the idea measurements and how this is going to even happen. We started off by drawing a diagram of a regular donut and that huge donut that we are planning on making and all of the measurements of ingredients we needed. Then we got all the ingredients and started getting ready for the next part. For the third benchmark we had to actually bring our real product to school but in my case I brought a video of us making it because it was a perishable item and we couldn't keep it fresh for that long. And part four which is what I'm doing right now we're explaining what the project is and how we did it.
The picture under this was our final product of our scaling. My group chose to upscale a doughnut eight times and this done it was huge to me tell you it was 16 inches across. We had to use a ton of ingredients that we had written down in the video at the very top you can also see the picture as the background at the top. I think this project was a huge success in my opinion mainly because it came out way better than me and my group were expecting. The biggest challenge of this was trying to get that big glob of dough off the plate and into the pan with boiling oil. Another challenge was making sure the dough didn't stick to the table while we were trying to kneed it and make the shape we needed. But in the end we actually had a good outcome. If I were to do anything differently it would be to make the donut more smooth and the less hard on certain spots and soft on some spots. It wasn't a very tasty donuts honestly because we messed up on it and it was really hard on some parts and soft on some parts and we don't know why but we did our best and it was really fun. I learned a lot about teamwork and how to dish out proportion's in the real world rather than just on a piece of paper with a pencil. We had to find out certain things that we couldn't solve our self before the project and we had to ask neighbors for some supplies we didn't have and couldnt get.
YouThe third topic is ratios and proportions. When we talk about ratios we are normally comparing 2 or more things, which is correct. Ratios is just a portion of something bigger. Proportions are what is shown above, which is a part of something bigger similar to ratios but are slightly different. Above you would have to take 21 and divide it by 3 and you'd get 7 which you take that 7 and divide the congruent part for x and in this case you'd get 2 for x. For my scale project I had to use proportions in order to bake the donut right.
One of the last topics is proving similarity, there is many ways to prove it. This is one of the harder topics, If your using triangles which makes it much easier to deal with this topic you could assume if 2 out of the 3 angles are the same then the third has to be the same. If we try to prove similarity we can check the angles and if they're the same but different sizes you can prove that they are similar. It is easy in the moment to prove similarity but explaining it is kind of hard to do.
When we were learning about dilation we did a thing with a pencil and a rubber band. It was cool because we drew a picture while tracing another picture and however many rubber bands we had on is how many times bigger it got and i think that was very cool. Dilation is just a moving of the shape, making it bigger, mirror or reflect. Dilation is a lot more common then most other elements.
When dilation effects area and perimeter it basically refers to what I was saying in the last paragraph. If the area gets bigger, the perimeter gets bigger. I think its like proving similarity when the area increases the perimeter increases.
This scaling my world project was within real life things and getting used to being able to do that and I find it really interesting how they got it to let us be hands-on with the real world by making the project that fits so well with what was actually going on. At first we just put down everything we knew about congruence and similarity by getting into groups and making a poster for each one it was really fun and we got to learn new things with our friends.
We had four check points that we had to do and the first one was coming up the idea measurements and how this is going to even happen. We started off by drawing a diagram of a regular donut and that huge donut that we are planning on making and all of the measurements of ingredients we needed. Then we got all the ingredients and started getting ready for the next part. For the third benchmark we had to actually bring our real product to school but in my case I brought a video of us making it because it was a perishable item and we couldn't keep it fresh for that long. And part four which is what I'm doing right now we're explaining what the project is and how we did it.
The picture under this was our final product of our scaling. My group chose to upscale a doughnut eight times and this done it was huge to me tell you it was 16 inches across. We had to use a ton of ingredients that we had written down in the video at the very top you can also see the picture as the background at the top. I think this project was a huge success in my opinion mainly because it came out way better than me and my group were expecting. The biggest challenge of this was trying to get that big glob of dough off the plate and into the pan with boiling oil. Another challenge was making sure the dough didn't stick to the table while we were trying to kneed it and make the shape we needed. But in the end we actually had a good outcome. If I were to do anything differently it would be to make the donut more smooth and the less hard on certain spots and soft on some spots. It wasn't a very tasty donuts honestly because we messed up on it and it was really hard on some parts and soft on some parts and we don't know why but we did our best and it was really fun. I learned a lot about teamwork and how to dish out proportion's in the real world rather than just on a piece of paper with a pencil. We had to find out certain things that we couldn't solve our self before the project and we had to ask neighbors for some supplies we didn't have and couldnt get.