The overall task of today's lesson was to graph the new surface area and the minimum surface area.
It is necessary because we want to reduce the Surface Area, but keep the same volume, so the use of a graph will help us find the smallest surface area.
Thursday, May 6, 2010
Wednesday, May 5, 2010
Exit Slip 5/4/10
The way my new surface area function will be used for this PBAT is by me substituting my can values into the new surface area function. The ultimate goal of finding this new surface area function is finding the smallest surface area.
The way I would use this function to visually represent the relationship bewtween the height and the surface area of my can is by me making a new design or can.
The way I would use this function to visually represent the relationship bewtween the height and the surface area of my can is by me making a new design or can.
Monday, May 3, 2010
Exit Slip 5/3/2010
I think it is necessary for us to combine two formulas because the task is to eliminate the height in the surface area function and leave the radius as the only independent variable. This will allow me to find the minimum surface area with r being the independent variable and SA being the dependent variable.
I would need to simplify the the volume and surface area of a cylinder. I would also need to Solve for Height, so that I can substitute it into the surface area formula. When doing all of this I would need to Justify all the steps I did to solve for height and simplify the SA formula. Last thing I would need to do is apply my units when i'm done solving everything.
I would need to simplify the the volume and surface area of a cylinder. I would also need to Solve for Height, so that I can substitute it into the surface area formula. When doing all of this I would need to Justify all the steps I did to solve for height and simplify the SA formula. Last thing I would need to do is apply my units when i'm done solving everything.
Saturday, May 1, 2010
Exit Slip 4/30/10
The name of this PBAt is called the Can Project. The overall task of this PBAT is to minimize the material being used for cans or cylinder containers because the company of my choice is being pressured by consumers. Basically my task is to write a letter to the company of my choice presenting the dimensions of my old and new can. I have to make two physical models of my can before and after pictures. I must try to make the can cheaper by still using the same materials, but still keeping the same amount of content of the can. Inorder to do this I must keep the same volume of the can but make the surface area smaller. Then we must find the radius, and height of the can as well.
Tuesday, April 27, 2010
Exit Slip
The important concept of today's lesson was solving for the height of your can. Also putting the calculations from our can into a spreadsheet and labeling the columns. Another important concept was making a graph using our calculations from our can and labeling the graph as well.
The mathematical tool I used to today was a calculator. The calculator helped me calculate the height for all of the radiis. This mathematical tool made it easier for me because I just has to plug in my values into the calculator to get my answers and didnt have to use scrap paper.
The mathematical tool I used to today was a calculator. The calculator helped me calculate the height for all of the radiis. This mathematical tool made it easier for me because I just has to plug in my values into the calculator to get my answers and didnt have to use scrap paper.
Friday, April 23, 2010
Exit Slip 4/23/10
Today I helped some of my peers. I helped Ellen by explaining to her what was being asked of us. I also helped Sha'Eika find the Volume and Surface Area of her can.Today I was able to accomplish many things. I found all the measurements to my can by using a ruler. Also, I found the Surface Area and Volume of my can. The skills I learned today were how to find the height and diameter of a can or cylinder. I would use these skills when I want to build a cylinder model or in college when I have to do a project based on cylinders. For the moment I dont have any questions to ask because I understand everything that we are going to be doing for our PBAT.
Monday, April 19, 2010
Extra Credit.
The results from the two calculations are shown in Table 1. The first function is y1=4x^3+5 and the second function is y2=7x^3+100.
The first column contains some values for the independent variable x. The domain of these values: -25 to 25 were chosen randomly, first. I just wanted to make sure that when the graph is made the important parts would show. Some examples of the important parts are: the vertex, the roots, the local minimum, the local maximum, etc. The scale is set to 5.
These x-values were substituted into the function y1, and the results are displayed in the second column. Since y1 is a third degree polynomial or cubic function, the y-values first increase as the x-values increase from negative numbers to positive numbers. There is no vertex because this is a third degree polynomial. It is hard to tell the coordinates of the local minimum and maximum without a graph.
The y-values for y2=7x^3+100 are shown in the third column of Table 1. The y-values also increase as the x-values increase from negative to positive numbers.
The first column contains some values for the independent variable x. The domain of these values: -25 to 25 were chosen randomly, first. I just wanted to make sure that when the graph is made the important parts would show. Some examples of the important parts are: the vertex, the roots, the local minimum, the local maximum, etc. The scale is set to 5.
These x-values were substituted into the function y1, and the results are displayed in the second column. Since y1 is a third degree polynomial or cubic function, the y-values first increase as the x-values increase from negative numbers to positive numbers. There is no vertex because this is a third degree polynomial. It is hard to tell the coordinates of the local minimum and maximum without a graph.
The y-values for y2=7x^3+100 are shown in the third column of Table 1. The y-values also increase as the x-values increase from negative to positive numbers.
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