Return-path: <williams@whale.simmons.edu> Received: from whale.simmons.edu by VMSVAX.SIMMONS.EDU (PMDF V5.0-4 #8767) id <01HU7PKK8H8090NAY2@VMSVAX.SIMMONS.EDU> for whalenet@VMSVAX.SIMMONS.EDU; Fri, 18 Aug 1995 09:35:09 -0400 (EDT) Received: by whale.simmons.edu (4.1/SMI-4.1) id AA02700; Fri, 18 Aug 1995 08:35:35 -0500 (EST) Date: Fri, 18 Aug 1995 08:35:35 -0500 (EST) From: Michael Williamson <williams@WHALE.SIMMONS.EDU> Subject: Curr: Math Problems (Middle/High Sch) To: whalenet@VMSVAX.SIMMONS.EDU Cc: caro1ocean@aol.com, Michael Williamson <williams@WHALE.SIMMONS.EDU> Message-id: <Pine.SUN.3.91.950818081741.2696A-100000@WHALE.SIMMONS.EDU> MIME-version: 1.0 Content-type: TEXT/PLAIN; charset=US-ASCII Content-transfer-encoding: 7BIT SERC Written Component - Whales (Metric) Williamson SERC Mathematics Exercises Math Component SERC Program J. Michael Williamson Associate Professor - Wheelock College Associate Director - Mingan Island Cetacean Study Director-WhaleNet 20 Moynihan Rd. Wheelock College S. Hamilton, MA 01982 200 Riverway Boston, MA 02215 508/468-4699 617/734-5200, x256 fax: 508/468-0073 617/566-7369 email: williams@whale.simmons.edu ------------------------------------------------------------ Math Problems {Download a data entry from the WhaleNet bulletin board for some of the problems} 1.1 Use the chart to plot the fixes of the cruise. Draw a line on the charrt to show the course. Use an effective wide of the transect of two miles to either side of the research vessel. Draw, with dotted lines, lines parallel to the research cruise and at a distance of two miles. Calculate the study area of the research cruise. % How many miles did the cruise travel? % Estimate how many square miles was studied. % How many sightings of each species of whale did we observe? % How many whales per square mile did we see? 1.2 Use the data table to estime the amount of time that was effectively spent on the research cruise. % How many sightings per hour of each species did we observe? 1.3 Using the data that you calculated in 1.1 and 1.2, how might these ratios be useful in data analysis? 1.4 Create two different displays using the data in 1.1 and 1.2, showing the differences in sighitng frequency for each of the species of whales. % Which is easiest to understand? % What are the advantages of each disply? Disadvantages? 2.1 Growth of a Blue Whale. At the moment of birth a blue whale calf averages 7 meters long and weighs 3 metric tons. For the first six months of its life its average weight gain per day is 100 kilograms. (assume that every month has 30 days) What is the estimated weight at the end of: 1 month (30 days)? 2 months (60 days)? 3 months (90 days)? 4 months (120 days)? 5 months (150 days)? 6 months (180 days)? 2.2 Create a display using the data in 2.1 to show the growth (in weight) of a blue whale calf over time from birth to six months of age. 2.3 At 100 kilogramss per day, what is the percent weight gain in a day of the whale's total weight at the age of: 1 day ? 1 month ? 2 months ? 3 months ? 4 months ? 5 months ? 6 months ? 2.4 Create a display using the data in 2.2 to show the growth (in weight) of a blue whale calf in relation to the time it grows. 2.5 How does the growth rate change as the calf grows? Why does the growth rate change if the weight gain remains the same? 2.5b Create a display using the data in 2.3 to show the growth (in weight) of a blue whale calf in relation to the time it grows. 3.1 If a blue whale eats food equivalent to 4% of its body weight each day how much would a whale eat if it weighed: 20 metric tons? 45 metric tons? 50 metric tons? 70 metric tons? 80 metric tons? 100 metric tons? 3.2 How much would a group of three whales eat in a day if one weighted 70 tons, the second weighed 47 tons, and the third weighed 67 tons? How much would they eat in a: week? month? year? 3.3 If a herring weighs an average of _____ grams each, how many herring would the three whales eat in a: day? week? month? year?