Using Decimals in Archaeology
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- Ilene Garrett
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1 Archaelogists are detectives who solve mysteries. The items they unearth provide clues about the people that once lived in a region. For example, archaeologists can measure the length of bones to determine approximate heights of people. Over the years, archaeologist have come up with a way to determine the height of a human being using the length of the humerous bone. For males, where h trepresents the lengh of the humerous in centimeters: m = 2.9h For females, where h represents the length of the humerous in centimeters: f = 2.8h How could you convert these measurements in inches? 1 4/17/2014 8:48 PM
2 Activity Measure the length of your humerous in centimeters. To do this measure from your elbow to the edge of your shoulder. 2. Use the given equation to estimate your height in inches. 3. How accurate is this estimate? Why might your estimate be off? 2 4/17/2014 8:48 PM
3 Activity 2: Pretend that you are an archaeologist. You have received the data below from a dig in Casas Grandes, northern Mexico. Casas Grandes (or Paquimé) was a large, influential capital city in the state of Chihuahua, northern Mexico, considered the third great regional state (the others are Aztec and Toltec) of the American southwest, from about AD You have been given the following chart: Skeleton Length of Humerus (cm) Male 1 32 Female Male Female 2? Use the given equation for questions 1-4.? Find the estimated height of Male 1 in inches. 3 4/17/2014 8:48 PM
4 2. Find the height in inches of Female 1 and Male Suppose the height of Female 2 is 142 cm. How long is the length of her humerous bone? 4. The person listed in the bottom row of the chart was 134 cm tall. Is it more likely that this person was a male or a female? Support your answer with data and calculations. 4 4/17/2014 8:48 PM
5 Archaelogists are detectives who solve mysteries. The items they unearth provide clues about the people that once lived in a region. For example, archaeologists can measure the length of bones to determine approximate heights of people. Over the years, archaeologist have come up with a way to determine the height of a human being using the length of the humerous bone. For males, where h trepresents the lengh of the humerous in centimeters: m = 2.9h For females, where h represents the length of the humerous in centimeters: f = 2.8h How could you convert these measurements in inches? Divide by 2.54 because there is 2.54 cm in 1 inch. Activity 1. Measure the length of your humerous in centimeters. To do this measure from your elbow to o the edge of your shoulder. Use the given equation to estimate your height in inches. How accurate is this estimate? Why might your estimate be off? Measurement errors, error in the formula, keep in mind that he multiplying factor and the addition are averages. 5 4/17/2014 8:48 PM
6 Activity 2: Pretend that you are an archaeologist. You have received the data below from a dig in Casas Grandes, northern Mexico. Casas Grandes (or Paquimé) was a large, influential capital city in the state of Chihuahua, northern Mexico, considered the third great regional state (the others are Aztec and Toltec) of the American southwest, from about AD You have been given the following chart: Skeleton Length of Humerus (cm) Use the given equation for questions 1-4. Male 1 32 Female Male Female 2?? 24.5 Complete the following problems. Round your answers to the nearest tenth. 1. Find the estimated height of Male 1 in inches. 2.9(32) = cm in 6 4/17/2014 8:48 PM
7 2. Find the height in inches of Female 1 and Male 2. Female 1-2.8(29.5) = cm Male 2 2.9(28.5) = in in 3. Suppose the height of Female 2 is 142 cm. How long is the length of her humerous bone? 2.8(x) = (x) = = 24cm 4. The person listed in the bottom row of the chart was 134 cm tall. Is it more likely that this person was a male or a female? Support your answer with data and calculations. Female 2.8(x) = Male - 2.9(x) = cm 63.4/ cm Accept any reasonable answer that usesthe data/calulations accurately. 7 4/17/2014 8:48 PM
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