4.5_GoldenRatiosFoundinBodyMeasurements_worksheet
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Douglas College *
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MISC
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Mathematics
Date
Apr 3, 2024
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2
Uploaded by GeneralSeaUrchinMaster954
Student Name: Golden Ratios Found in Body Measurements In this lesson you discovered the Golden Ratio which in decimal form is approximately 1.618. This ratio can also be found when comparing measurement of human body parts. I. Accurately record the measurements of your body parts in centimeters. (7 pts)
1. Height from Head to Toe __________cm 2. Top of head to finger tips with arms at side __________cm 3. Top of head to elbow with arms at side __________cm 4. Top of head to top of arm pit __________cm 5. Top of head to base of skull __________cm 6. Top of head to chin __________cm 7. Width of head __________cm II. Complete the chart by recording the above measurements in the boxes below. Then put the two indicated measurements in ratio form and then convert the fraction to a decimal. (10 pts) Ratio (Fraction Form) Value of Ratio (Decimal Form) 1) Height –
from head to toe Top of head to finger tips with arms at side 2) Top of head to finger tips with arms at side Top of head to elbow with arms at side 3) Top of head to elbow with arms at side Top of head to top of arm pit 4) Top of head to top of arm pit Top of head to base of skull 5) Top of head to chin Width of head
Student Name: Golden Ratios Found in Body Measurements III. Compare the value of your ratios to the Golden Ratio Value of approximately 1.618 Write a statement which compares your results to the Golden Ratio: (2 pts)
IV. What other Objects are also influenced by the Golden Ratio? In a regular pentagon the following measurements also form a golden ratio. Measure the following and record them in the chart below: (4 pts) (6 pts) a = ______________mm b = ____________mm c =__________mm d =__________mm V. Research using the internet and list one more example where the golden ratio is found. (1 pt)
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