Pythagorean Spiral
8.G.6 Explain a proof of the Pythagorean Theorem and its converse.
8.G.7 Apply the Pythagorean Theorem to determine unknown side lengths in right triangles in real-world and mathematical problems in two and three dimensions.
8.G.7 Apply the Pythagorean Theorem to determine unknown side lengths in right triangles in real-world and mathematical problems in two and three dimensions.
1) Rewrite the standard in your own words. How does this assignment relate to the standard?
The standards want me to explain the Pythagorean theorem and use it into triangles and use it in real world problems. This assignment's purpose was to apply the Pythagorean Theorem to build upon the previous triangle and create a spiral. So, the standard was to know the Pythagorean Theorem and this assignment was to build a spiral using the Pythagorean theorem. They both to hand in hand.
2) What are the steps you took to complete and do well on this assignment?
I first had to start by lightly drawing two diagonal lines. After that, I had to identify the point of intersection and darkened that point. I erased the diagonal lines. Holding my paper landscape, I used the corner of an index card as my 90 degree angle. I drew my first angle, and connected points to create the hypotenuse. I calculated that hypotenuse as left my answer as a radical. Finally, I used the index card to create a right angle off the hypotenuse. I repeated those steps until I was supposed to get 17. I ended up with 18.
3) This assignment demonstrates the following strengths...
This assignment demonstrates that I understand the Pythagorean theorem. This assignment also shows that I get the gist of how to make a Pythagorean theorem, since I did just score a 3.4 on it. It's a pretty decent score, and shows my general knowledge of this assignment, which is pretty average.
4) I could have improved my work on this assignment by...
Like I did point out, I only got a 3.4 on this assignment. I also ended up with 18 triangles when I should have had 17 right triangles. Next time, I'll try to do better and get my calculations correct.
5) How will you apply the skills you learned from this assignment in either the real world when you are an adult or in other classes while you are still a student?
In the real world, you never know when you could end up becoming a decorating person. Maybe I'll want to decorate my house with spirals. I'll use this Pythagorean theorem and these steps to creating Pythagorean spirals. It would come in handy.
The standards want me to explain the Pythagorean theorem and use it into triangles and use it in real world problems. This assignment's purpose was to apply the Pythagorean Theorem to build upon the previous triangle and create a spiral. So, the standard was to know the Pythagorean Theorem and this assignment was to build a spiral using the Pythagorean theorem. They both to hand in hand.
2) What are the steps you took to complete and do well on this assignment?
I first had to start by lightly drawing two diagonal lines. After that, I had to identify the point of intersection and darkened that point. I erased the diagonal lines. Holding my paper landscape, I used the corner of an index card as my 90 degree angle. I drew my first angle, and connected points to create the hypotenuse. I calculated that hypotenuse as left my answer as a radical. Finally, I used the index card to create a right angle off the hypotenuse. I repeated those steps until I was supposed to get 17. I ended up with 18.
3) This assignment demonstrates the following strengths...
This assignment demonstrates that I understand the Pythagorean theorem. This assignment also shows that I get the gist of how to make a Pythagorean theorem, since I did just score a 3.4 on it. It's a pretty decent score, and shows my general knowledge of this assignment, which is pretty average.
4) I could have improved my work on this assignment by...
Like I did point out, I only got a 3.4 on this assignment. I also ended up with 18 triangles when I should have had 17 right triangles. Next time, I'll try to do better and get my calculations correct.
5) How will you apply the skills you learned from this assignment in either the real world when you are an adult or in other classes while you are still a student?
In the real world, you never know when you could end up becoming a decorating person. Maybe I'll want to decorate my house with spirals. I'll use this Pythagorean theorem and these steps to creating Pythagorean spirals. It would come in handy.