Thursday, June 25, 2015

QUESTIONS FOR 5O4

  • What object did you choose to make a model of and why?
I chose to make a model of a table. It Looked to be easy to construct as well as complied with the requirments. 

  • How did you determine the appropriate dimensions between the object and its model?

I picked a number to scale down my object and used to ruler to measure the correct Inches in order for me to achieve the perfect scaled image of the object.

  • What steps did you take to create your model? Be sure to include all mathematical calculations.
First i took a picture of my object before i modeled out my object using a program on my computer. Then i took the measurements of my object and recorded them. After that i gathered some material to make my design. Next i thought about how i was going to scale down my object, so i chose a number to divide my objects lengths. I chose 3. After i figured out that i used the results as my inches for my model. By using my ruler i measured the appropriate lengths and indicated where to cut in order to form my pieces to my model.Finally i glued the pieces together 

  • What challenges, if any, did you experience during this process?
i had trouble figuring out what i wanted to construct. 

  • What geometric principles, properties, postulates, or theorems did you use to make your model?
Proportional is When two quantities always have the same size in relation to each other. In other words they have the same ratio. Sides with the same ratio are considered similar due to  ratios of parts. 

  • What did you think of this activity?
It was a lot easier than i original thought. It took a bit of time to figure out a plan to go about this project, which made the project more time consuming then it really was. 

GEOMETRY : MODULE FIVE : 05.04 HONORS EXTENSION ACTIVITY




ruleroriginal object
scissors
glue stick

cardboard



scaled down by a factor of 3.





FINAL

proof

Corresonding sides must have an equal ratio in order to be considered similar. The height of the table was 18 inches on both sides. The width (top and bottem) was 27 inches. The middle width of the table was 12 inches. If we divide the original measurements by the new ones we should come to a similar ratio as seen below.
 Original (in) Dilated (in) Ratio
                                     18              6              1:3    
                                      27              9              1:3    
                                       12              4              1:3