1. Describe the task/activity you were working on.
In this task, we were given the simple directions to find the area of the shape. The catch was that there was really no way of knowing the exact lengths of each side. Also, the shapes weren't squares, or triangles, or circles, where we knew the formula and could just plug in lengths.
2. How is your work here representative of this habit? Identify certain aspects of your work that show this "habit in action."
With this "challenge," I quickly noticed easier shapes I DID have the formula for: squares and triangles. With a highlighter, I established each triangle (and the rectangle that went along with it). Now we know with triangles, we take the length and height and divide it by two. From there, the problem was easy. Find each triangle, figure its area out, find the area of the middle areas, and then add them up. At the end, I found the area of this "crooked house" to be ~13.5. There were numerous answers and we didn't have time to work out the kinks and see who was actually right, but I'm fairly confident my strategy worked effectively and my answer is correct. So in conclusion, the habit was represented through by ability to solve the areas of the triangles and adding them all up.
*Note: I never did have the opportunity to check my answer for the Evil Snail, although I did end up with 53.5 using the same technique I used with the crooked house.
3. How was the habit useful in helping you make sense of this problem?
I found this habit especially useful because once I figured out what the basics were for this problem, the rest was really simple and easy.
In this task, we were given the simple directions to find the area of the shape. The catch was that there was really no way of knowing the exact lengths of each side. Also, the shapes weren't squares, or triangles, or circles, where we knew the formula and could just plug in lengths.
2. How is your work here representative of this habit? Identify certain aspects of your work that show this "habit in action."
With this "challenge," I quickly noticed easier shapes I DID have the formula for: squares and triangles. With a highlighter, I established each triangle (and the rectangle that went along with it). Now we know with triangles, we take the length and height and divide it by two. From there, the problem was easy. Find each triangle, figure its area out, find the area of the middle areas, and then add them up. At the end, I found the area of this "crooked house" to be ~13.5. There were numerous answers and we didn't have time to work out the kinks and see who was actually right, but I'm fairly confident my strategy worked effectively and my answer is correct. So in conclusion, the habit was represented through by ability to solve the areas of the triangles and adding them all up.
*Note: I never did have the opportunity to check my answer for the Evil Snail, although I did end up with 53.5 using the same technique I used with the crooked house.
3. How was the habit useful in helping you make sense of this problem?
I found this habit especially useful because once I figured out what the basics were for this problem, the rest was really simple and easy.