Enrichments (6-10) Grade(s) Grades Goal(s) Practice mathematical problem solving skills

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1 Enrichments (6-10) At a glance These materials are a sampling of quick equations that your students can complete as they tour the Zoo (Elephant Reserve, Lords of the Arctic, Children s Zoo Sea Lions, Swan Lake, Manatee Springs, and Wings of Wonder Theater ). Grade(s) Grades 6-10 Materials For each student: Clipboard (or hard writing surface) Pencil 1 copy of student pages Graph paper Measuring tape Goal(s) Practice mathematical problem solving skills Objective(s) Student will be able to: Collect data, Calculate rate of growth, volume, filtration rate, percentages, weights, and Solve problems using multiplication and division. Academic standards Ohio Mathematics Number, Number Sense and Operations (6:4,6-9,13,14) (7:4,6,7) (8:6) (9:4) Academic Content Measurement (6:1,3b.) (7:1,4,5) (8:,3,6,10) (9:1,5) Standards Geometry and Spatial Sense (8:3) (Grade: Indicators) Patterns, Functions and Algebra (6:4,6) (7:8) (10:3) Data Analysis and Probability (8-10: E) Kentucky Core Content Mathematics Indiana Mathematics Standards Mathematical Processes (8-10: A, B, E, F & H) Numbers/Computation 9-11: MA-H 1.1., 1..1, 1..4, Probability/Statistics 9-11: MA-H..6,.3.1,.3.4 Geometry/Measurement 9-11: MA-H Algebra I A1.1.5, A1.3., A1.8.7, A Geometry G.7.1, G.7.7 Probability & Statistics PS.1.1 Eighth Grade Standards 8..1, 8..4, 8.3.8, , 8.7.1, , 009 Page 1 of 8

2 Activity Students will complete activities on the student pages as they tour the Zoo. Assessment Have the students turn in their completed student pages. Unsatisfactory Student did not complete all required elements and/or achieved less than 60% accuracy. Satisfactory Student completed all required elements and achieved between 60 and 85% accuracy. Excellent Student completed all required elements and achieved greater than 85% accuracy. 6-10, 009 Page of 8

3 Student Page Grades 6-10 Polar Bear Growth Location: Lords of the Arctic, Math Skills: Rate of Growth The information needed to answer this question can be found at the polar bear den in the Lords of the Arctic exhibit. 1) How much does a polar bear grow everyday, on average, before it leaves the den? ) A male polar bear weighs twice that of a female ( kg). Their rate of growth is approximately 60 kg per year. At what age would a male polar bear be if a respective female weighed 50 kg? Water for Sea Lions Location: Sea Lions in Children s Zoo, Math Skill: Algebra 1) Given that the depth of the sea lion pool is 9 feet, there are 7.5 gallons per cubic foot, and that a gallon of water weighs 8.3 pounds: How many gallons of water does it take to fill the pool? How many skids are needed? How many bags are needed? How much does each bag weigh? How many pounds of water are there in the pool? ) Each year the seal pool is drained. Skids of,500 lbs of salt are added to the pool, making a total of 40,000 lbs. Each skid holds 6 bags. 3) The filter on the sea lion tank is changed every month, which requires 6 skids of salt. How many skids and pounds of salt are required each year to maintain the sea lion tank? 6-10, 009 Page 3 of 8

4 Student Page Grades 6-10 (cont.) Hurray for Swan Lake! Location: Swan Lake, Math Skill: Volume The largest lake on Zoo grounds is named Swan Lake. In order to conduct a habitat restoration project, the lake was recently drained and refilled. ) If there are approximately 7.5 gallons of water per cubic foot, how many gallons of water are there in Swan Lake? 1) Given that the lake is approximately 00 feet in diameter and has an average depth of 5 feet, what is the volume of Swan Lake in cubic feet? Filtering Manatee Springs Location: Manatee Springs, Math Skill: Calculating Filtration Rates To clean the large tank that houses our two manatees there are two filter systems capable of filtering at a combined rate of,500 gallons per minute. ) Based on this information, how many times a day is the tank filtered? 1) If the manatee tank holds 10,000 gallons of water, how long before the full volume of water is filtered? 6-10, 009 Page 4 of 8

5 Student Page Grades 6-10 (cont.) Theater Attendance Location: Great American Wings of Wonder Theater, Math Skill: Percentages At the Education Department, we would like to spread the conservation message to as many people as possible. One way to do this is through our Wings of Wonder bird program. 1) Visit the Great American Wings of Wonder Theater. (The theater will be open from 10am-1pm) If each person that attends a show requires.5 feet on a bleacher, then what is the maximum amount of people that can attend a program? ) On an average summer weekday, the theater is approximately 47% full for each of the three daily shows. Monday is the only day on which no shows are presented. On the weekends, the theater is at approximately 54% of its capacity for the four shows offered daily. Since we only offer these programs from Memorial Day to Labor Day, how many people are we able to reach during one summer season? 1) The newborn ocelot needs a vaccination shot that is given in two doses two weeks apart. The dose for the drug is 1.6 ml/kg body weight. Each week the ocelot grows by 60%. Today the kitten weighs.3 kg. If the first dose is given today, what is the required dosage? CREW Calculations Math Skills: Weights and Percentages What will the required dose be in two weeks? ) CREW commonly uses a 0.9% saline solution (a dilute salt solution) for collecting tissues. If a scientist wants to make 0 liters of this solution, how many grams of NaCl would she need to weigh out in order to create a solution that is 0.9% saline in 0 liters? 6-10, 009 Page 5 of 8

6 Student Page Grades 6-10 (cont.) Factoring Feed Location: Elephant Reserve, Math Skills: Weights and Volume A truck that is 7 wide by 8' long is used to deliver bales of hay and straw twice a week. Summer Deliveries: Mondays/one truckload Fridays/two truck loads Winter Deliveries: Mondays/two truck loads Fridays/three truck loads They can stack 4 bales across by 4 bales deep and 4 bales high, except for the row at the rear of the truck; only 3 bales high are stacked here. 1) How many bales total can be taken at any one time? ) How many bales are needed each week during the winter? 3) Given the following information, what is the total weight of a truck load? Timothy bale = 35 lbs; 3/4 of the load is timothy Alfalfa = 45 lbs; 1/8 of the load is alfalfa Straw bale = 30 lbs; 1/8 of the load is straw 4) Measure the volume of a sample bale of Timothy hay found at the Elephant Reserve exhibit. Using this information, what is the average volume of a truck load of hay/straw? 5) If the storage room for hay/straw at Elephant Reserve is 9 high, 16 long and 4 wide, what is the total volume of hay/straw that the storage room can hold? 6) In order to meet requirements from the Department of Agriculture, bales cannot be within 6" of the ceiling, and must be kept 6" off the floor. What is the actual volume of useab1e storage space? 6-10, 009 Page 6 of 8

7 Hints and Solutions Page Grades 6-10 Polar Bear Growth 1) The signage at Lords of the Arctic tells you that a cub leaves the den at approximately 10 days after birth and weighs 5 lbs. (5 - l) lbs = 0. lbs/day 10 days ) First, find out how old the female would be at 50 kg if she grows 60kg/yr. Let's say this value equals "A." Use the following formula to figure out the problem. 50/60 = 4 1/6 x = 8 1/3 yrs or 8 yr. 4 months Water for Sea Lions Children s Zoo The formula to find the cubic feet of the seal pool is ½ of the formula used to find the volume of a cylinder, so: ½ πr h. The radius (r) is ½ of the diameter. To convert the solution to cubic feet, multiply it by 7.5 gal/ft 3. 1) 14,708. gal., 1,78,078.3 lbs. ) 16 skids needed, 99 bags needed, each bag weighs 40.3 lbs Filtering Manatee Springs 1) 48 min. ) 30 times per day Wings of Wonder Theater Attendance 1) Use multiplication to solve the problem. ) First, determine how many program days there are within the given range. Next, figure out how many people, on average, attend a weekday and weekend show. Third, use multiplication to find the average number of people we reach each year. CREW Calculations 1) First does: (1.6)(.3) = 3.68 ml In two weeks: (.6)(.3) = = 3.68kg at one week (.6)(3.68) = = 5.88kg is ocelot s week after weeks Dose in two weeks: (1.6)(5.88) = ml ) 1,000 grams = one liter. 0 liters = (1000)(0) = 0,000 gm (.009)(0000) = 180 g. saline Factoring Feed 1) 60 bales per truckload ) Multiply #1 answer by given number of loads = 300 bales 3) Multiply #1 answer by fractions to determine number of bales of each type of hay/straw and then multiply by weights and add together. 45 bales of timothy = 6.5 lbs 7.5 bales of Alfalfa = 05 lbs 7.5 bales of straw = 5 lbs =,51.5 lbs per truckload 4) Volume = Length x Width x Height = 576 cubic feet 5) Recalculate the volume with the new height (one foot lower) = 51 cubic feet 6-10, 009 Page 7 of 8

8 Hints and Solutions Page Grades 6-10 (additional for teachers only) Polar Bear Growth = 4 x = 8 yrs or 8 yrs, 4 months Water for Sea lions 1. V = πr h 1 1 V = πr h 1 = π 945) (9) = ft 3 X 7.5 = 14,708,3gal x8.3 = 1,78,078.5lb.. 40,000 = 16skids,500 16x6 = 99bags 40,000 = 40.3lbs x 1 = 7 skids 7 x 6 x 40.3 = lbs Hurray for Swan Lake 1. V= π r h = π (100) (5) = ft x7.5 = gal Filtering Manatee Springs 10, = 48 mi, x4 = 1440 min. in one day 1440 = 30 times/day 48 Wings of Wonder Theater Attendance (see Hints and Solutions p.7) CREW Calculations 1. First dose: (1.6)(.3) = 3.68 ml In two weeks: (.6)(.3) = = 3.68 kg (one week) (.6)(3.68) = = 5.88 kg (ocelot weight after wks) Dose in two weeks: (1.6)(5.88) = ml grams = 1 liter 0 liters = (1000)(0) = 0,000 grams (.009)(0000) = 180 grams of saline Factoring Feed 1. (4)(4)(4) (1)(4) = 60 bales. (5)(60) = 300 bales 3 3. alfalfa: ( )(60) = 45 bales 4 (45)(45) = 05 lbs Timothy: 1 ( )(60) = 7.5 bales 8 (7.5) (35) = Straw: ( )(60) = 7.5 bales 8 (7.5)(30) = 5 lbs Total: 51.5 lbs 4. (9)(16)(4) = 576 cubic ft 5. (8)(16)(4) = 51 cubic ft 6-10, 009 Page 8 of 8