Wednesday, October 3, 2018

Basketball Court Reflection

Over the past three weeks in my workshop Prove it or Lose it we have been discussing many proofs and the why as to just solving a problem. This course was very interesting and focused mainly on how to understand a problem in depth. Recently we have went over reflections in the real world and how to incorporate them in class. We played a game called Pong and this showed us an example of a real life reflection. To me this was pretty neat and I saw that I could them make a reflection with angles on my own topic. So the thing that I would want to make a reflection of is a basketball court. This will be a difficult task but I think I could do it.


What are reflections?
A reflection is a transformation in which the figure is the mirror image of the
other. Basically this means something depicted on the other side of a figure
and is reflecting. Reflection can also be called as flip.


Find a reflection based on a real life = Basketball Court




Here I made a reflection of this court on a graph going by ten. I decided to place the dots at the foul line on each court.

Coordinates

Reflected on its X axis.(-3,8.75) (-6,8.75)

(5,8.85) (3, 8.75)
I did this on GeoGebra that's how I got the x y coordinates.

For my second measurement I came to the conclusion to make an angle on the two separate court


On the left
  • Acute Angle from both free throws to baseline of half court 35/40 

On the right
  • Right angle from the top of the key to the free throw to the corner baseline 90 

In conclusion from this action project I have learned how to identify slope on a graph from different viewpoints and variations. I have learned some new math vocabulary words and how to problem solve. Overall this project was very frustrating and unclear on certain expectations. Also I couldn't get GeoGebra to corporate what I was thinking so my pictures were done by hand but the coordinates for the graph were from GeoGebra. Next time I will do my best to work harder and more persistent.

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