Thursday, 1 May 2014

Investigation 2 Spinner

By: Alyssa
Date: May 1, 2014
Block: F

1)
     I designed my spinner by making sure that 100 percent of the space was either red or an odd number, that the blue section was a three, that the white space and red space had the same percentage of space, and that the blue section was half of the red or whites percentage of space. I then checked my method to insure that it matched up with the instructions. On my spinner below there is a red section, the sections that are not red have odd numbers on them, check. The section that is blue has a three on it, check. The white and red sections both have four parts (40 percent) of the spinner, check. The blue section has two parts (20 percent) of the spinner, or half of the white or red section, check.

2)
My spinner.

3) 
     I know that my spinner fits the criteria on the sheet because I found the experimental probability of the spinner and it matched up with my theoretical probability. My theoretical probability was that 40 percent of the time the spinner would get red, 40 percent of the time the spinner would get white, and 20 percent of the time the spinner would get blue. On the chart below you can see the results of my experimental probability after spinning the spinner 120 times. Out of the 120 spins 50 were red, 47 were white, and 23 were blue. When converted to decimals this means that about 41 percent of the time it landed on red, about 39 percent of the time it landed on white, and about 19 percent of the time it landed on blue. Looking at my theoretical probability and my experimental probability they both match up almost perfectly. The red, white, and the blue percentages from both probabilities are only off by about one percent. This shows that I met the criteria for red and white is 40 percent of the spinner and blue is 20 percent of the spinner. Then as you see up above on my spinner I meet the criteria for the blue 3 part, for I have a 3 on the spinners blue section. The finale criteria I know I have met are 100 percent of the time the spinner is red or an odd number. Up above the red section is red so we have 40 percent of the spinner fits that criteria. The white section has an odd number that means that 80 percent of the spinner fits that criteria. Finally the blue section has an odd number on it, meaning that 100 percent of the spinner fits that criteria. This proves that my spinner fits all the criteria on the sheet.


                                                           My spinners results.

4)
     There is more than one acceptable way to make a spinner that fits the criteria on the sheet. Things that the spinners will have in common are that 40 percent of the spinner will be red, 40 percent will be white, and 20 percent will be blue. The blue section of the spinner will have a three on it and 100 percent of the spinner will be red or an odd number. Things that the spinners will have that are different from each other are the numbers on the white and red section. The white and red section will still follow the criteria of white having to have an odd number. For example, lets say everything is just the same as my spinner except that the number on the white section is three and the number on the red section is four. This fits the criteria that the white has to be odd in order for 100 percent of the spinner to be red or odd. If you change the numbers on the section, it does not mean the percentages change. The percentages will still be 40 percent red, 40 percent white, and 20 percent blue. It just changes the way that all the numbers on the surface add up to 100 percent on their own.




Another acceptable way to make the spinner so that it fits all the criteria.

10/10- Very detailed 
5/5

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