Advanced mathematical decision making

2 assignments check attached file for other AMDM Television Aspect Ratio Tiered Activity A
A movie with an aspect ratio of 1.95:1 is shown as a letterboxed image on a 72-inch 16:9 television. Calculate the height of the image, the area of the image, the height of each black bar at the top and the bottom of the screen, and area of each black bar on the screen.
Draw a picture (letterboxed bars top and bottom)Calculate x using Pythagorean’s thmCalculate width and height and area of TV (Area= width*height)Which dimension is the same between the image and TV (the height or width)? Calculate y.Calculate width and height and area of image?Calculate percent of area. (Percent Area= area of image/area of TV *100)Calculate width black bar. ((height of TV – height of image)/2)Calculate area of black bar.
2) A movie with an aspect ratio of 1.15:1 is shown as a pillarboxed image on a 42-inch 4:3 television. Calculate the height of the image, the area of the image, the width of each black bar at the sides of the screen, and area of each black bar on the screen.
Draw a picture (letterboxed bars top and bottom)Calculate x using Pythagorean’s theoremCalculate width and height and area of TV (Area= width*height)Which dimension is the same between the image and TV (the height or width)? Calculate y.Calculate width and height and area of image?Calculate percent of area. (Percent Area= area of image/area of TV *100)Calculate width black bar. ((width of TV – width of image)/2)Calculate area of black bar.
act_4_golden_ratio_activity.pdf

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AMDM
Golden Ratio
Name_______________________________
Date_________________Period__________
What makes a person’s face beautiful?
There is no doubt that physical beauty is a highly-valued quality throughout the world. Whether
we wish to believe it or not, appearance is the first layer of our character, and people pass
judgments on us based on this superficial aspect of our bodies. In spite of our many proverbs –
“Never judge a book by its cover,” “Beauty is in the eye of the beholder,” “Beauty is only skin
deep” – we are constantly told through literature and popular culture media that the outer shell
represents what is inside us.
You have been given a picture of a celebrity who many consider attractive. Measure the
following on your picture using centimeters.
a) Top of head to chin
b) Top of head to pupil
c) Pupil to nosetip
d) Pupil to lip
e) Width of nose
f) Width of head
g) Nosetip to chin
h) Lips to chin
i) Length of lips
j) Nosetip to lips
Divide
a=
f
b=
d
g=
h
g=
c
e=
j
i=
e
What do you notice about your numbers?
The ideal for facial beauty follows what we call the golden ratio. The golden ratio is
___________________. The closer each of the above comparisons is to the golden ratio, the
more attractive he or she is considered.
This ratio for beauty can be extended to the human body as well. Measure the following on a
person in your group, divide the larger measure by the smaller measure, and see how close to
ideal he or she is!
a. Measure from the top of the head to the bottom of the neck and measure from the bottom of
the neck to the belly button.
b. Measure from the belly button to the bottom of the knee cap and from the bottom of the knee
cap to the floor.
c. Measure from the top of the head to the belly button and from the belly button to the floor.
d. Bend your index finger to form a U shape. Now measure from the 1st knuckle to the 2nd
knuckle and then from the 2nd knuckle to the 3rd knuckle.

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