Measuring Your World
Math:
In class, we did several worksheets on finding the area and volume of different shapes, and finding the equations for them.
These worksheets helped us get comfortable with the content. By taking apart these problems we were able to make connections with our past knowledge to solve the new problems. We started with the Pythagorean Theorem, we used this to find the distance formula. This lead us to the equation of a circle, we used this to find points of a circle using right triangles. This helped us understand right triangle trigonometry (sine, cosine, and tangent) We learned/used 4 trig equations such as opposite/hypotenuse = sine to solve for missing sides on a triangle. Once we knew how to do this, we solved for the area of different polygons. We did this by taking apart the shapes into triangles which we could solve for We then used what we knew about these shapes to find the equation for area of a circle. From there, we moved into volume equations. We found the equation for the volume of a cylinder, then used what we knew about cubes and Cavalieri's Principle to shift 1/3 of a cube in order to find the equation for the volume of pyramids and cones.
These worksheets helped us get comfortable with the content. By taking apart these problems we were able to make connections with our past knowledge to solve the new problems. We started with the Pythagorean Theorem, we used this to find the distance formula. This lead us to the equation of a circle, we used this to find points of a circle using right triangles. This helped us understand right triangle trigonometry (sine, cosine, and tangent) We learned/used 4 trig equations such as opposite/hypotenuse = sine to solve for missing sides on a triangle. Once we knew how to do this, we solved for the area of different polygons. We did this by taking apart the shapes into triangles which we could solve for We then used what we knew about these shapes to find the equation for area of a circle. From there, we moved into volume equations. We found the equation for the volume of a cylinder, then used what we knew about cubes and Cavalieri's Principle to shift 1/3 of a cube in order to find the equation for the volume of pyramids and cones.
Design Your own Project:
Description:
For our project we decided to Measure the area of: Disneyland, California Adventure, Hotels, Casting Center and the Disney parking structures. We used the measure distance tool on google earth to find our lengths.
Math:
For our project we decided to Measure the area of: Disneyland, California Adventure, Hotels, Casting Center and the Disney parking structures. We used the measure distance tool on google earth to find our lengths.
Math:
Final Area: 20,318,429.8616 sqft
Reflection:
The biggest success we got out of this project was learning how to use google maps to measure distance. The challenge we faced in this project was figuring out how to challenge ourselves was an obstacle that we all overcame. Overall, it was a good learning experience. We enjoyed using a real life location to practice our skills with area.
The biggest success we got out of this project was learning how to use google maps to measure distance. The challenge we faced in this project was figuring out how to challenge ourselves was an obstacle that we all overcame. Overall, it was a good learning experience. We enjoyed using a real life location to practice our skills with area.
Overall Reflection:
Overall this project and content were a review for me, but I still grew a lot over the past month or so. Even though I knew most of the content it was super helpful for me to review it, now I know I have a strong base that I can build on in the future. The main habit of a mathematician I used was taking apart and putting back together. I used this the most because It was crucial to make sure we had broken down the shapes of Disney correctly in order to get the correct answer. In conclusion, this project was beneficial to me because now I am comfortable with this topic.
Overall this project and content were a review for me, but I still grew a lot over the past month or so. Even though I knew most of the content it was super helpful for me to review it, now I know I have a strong base that I can build on in the future. The main habit of a mathematician I used was taking apart and putting back together. I used this the most because It was crucial to make sure we had broken down the shapes of Disney correctly in order to get the correct answer. In conclusion, this project was beneficial to me because now I am comfortable with this topic.