WELCOME TO FRONTIER CITY’S OUTDOOR CLASSROOM! Many new and exciting activities await each student. We are so proud to have you as a guest in our park. The following pages include educational activities for many of our most popular attractions such as the Pirate ship, Silver Bullet and Bumper Cars. There are also questions that bring the whole outdoor classroom experience together. Although you are given many activities for all three grade levels, these are but guides for students learning. You may find that you can mix and match from all grades. Please feel free to build upon these activities and be secure in the knowledge that Frontier City is your unique classroom experience. We welcome any questions, comments, and/or suggestions for improving these instructions and ensuring a successful learning experience for all students. Jennifer Savage: jsavage@frontiercity.com Acknowledgements: Mr. Tim Allen, Science Teacher at Stillwater High School Dr. Mark Winslow, Physics Department at SNU REPRODUCIBLE BOOK TABLE OF CONTENTS BUS RIDE ACTIVITIES ................................................................................................................................ 3 BUS PHYSICS ......................................................................................................... 4 OTHER BUS GAMES .............................................................................................. 6 BUS RIDE PUZZLES ................................................................................................ 7 ELEMENTARY ........................................................................................................................................... 8 FIRST UP ............................................................................................................... 9 INVENTING THE IDEAL RIDE ............................................................................... 10 IN ONE TURN ...................................................................................................... 11 PULSE RATE ........................................................................................................ 12 HEALTH AND SAFETY .......................................................................................... 14 HEAR YE! HEAR YE! ............................................................................................ 16 SIGNS, SIGNS, EVERYWHERE ARE SIGNS! ........................................................... 18 PICTURE THIS ...................................................................................................... 20 WHERE DID THE TIME GO? ................................................................................ 21 GIVE ME DIRECTIONS ......................................................................................... 23 COLORS, COLORS, EVERYWHERE! ...................................................................... 24 FIND THAT SHAPE! ............................................................................................. 25 ARBORETUM AT FRONTIER CITY ........................................................................ 26 QUESTIONS ......................................................................................................... 28 MIDDLE SCHOOL .................................................................................................................................... 29 WHAT’S IN A NAME? .......................................................................................... 30 WHAT’S YOUR FAV? ........................................................................................... 31 ENERGIZED! ........................................................................................................ 33 LOOP THE LOOP ................................................................................................. 35 SPINNING WHEELS ............................................................................................. 36 PACING THE PATH .............................................................................................. 38 INANIMATE ANIMATION .................................................................................... 39 MAY I HELP YOU? ............................................................................................... 40 AT THE POLLS ..................................................................................................... 41 YOU SEE WHAT YOU EAT.................................................................................... 42 YOUR POINT OF REFERENCE .............................................................................. 43 CLOUDS IN THE SKY ............................................................................................ 44 HIGH SCHOOL ......................................................................................................................................... 45 BUS RIDE ............................................................................................................ 46 WANNA BE POPULAR? ....................................................................................... 47 PARALLEL, PERPENDICULAR, OR INTERSECTING? .............................................. 50 WHAT ARE THE COSTS? ...................................................................................... 52 RIDES ..................................................................................................................................................... 54 PRAIRIE SCHOONER ............................................................................................ 55 THE SILVER BULLET............................................................................................. 56 DODGE-UM BUMPER CARS ................................................................................ 57 GRAND CENTENIAL FERRIS WHEEL .................................................................... 58 MYSTERY RIVER LOG FLUME .............................................................................. 59 THE DIAMONDBACK ........................................................................................... 61 USEFUL DEFINITIONS .........................................................................................................................................62 USEFUL FORMULAS ............................................................................................................................................63 RIDE DATA ..........................................................................................................................................................64 Page 2 of 65 BUS RIDE ACTIVITIES Page 3 of 65 BUS PHYSICS STARTING UP Things to measure: As the bus speeds up from a start, find the time it takes to go from 0 to 25 miles per hour. You will need to get someone up front to help. THINGS TO CALCULATE: Always show equations used and substitutions 1. Convert 25 miles per hour to meters per second. (1.0 mi/hr = 44 m/s) 2. Find the acceleration of the bus. 3. Using your mass in kg, find the average force on you as the bus starts up. CONSCIOUS COMMUTING: 1. Close your eyes. What can you tell about the motion of the bus by listening? 2. Will the bus be easier to stop when it is full or when it is empty? 3. Why do you think the steering wheel in a bus is bigger than the steering wheel in a car? 4. Roller coasters exhibit many forms of energy, like potential, kinetic or mechanical. All of these forms can be found on the bus too. Try to identify these forms when they occur. 5. Banked curves support the coaster so that riders are not flung outward. Look for banked curves on the highways and for signs that give you a speed limit for the curve. What would happen if you drove too fast through a banked curve? 6. Why is speeding through a curve dangerous on a rainy day? GOING AT A CONSTANT SPEED 1. Describe the sensation of going at a constant speed. Do you feel as if you are moving? 2. Are there any forces acting on you in the direction you are moving? Explain what is happening in terms of the principle of inertia. Page 4 of 65 ROUNDING CURVES 1. If your eyes are closed, how can you tell when the bus is going around a curve? Try it and report what you notice. (Do not fall asleep!) 2. As the bus rounds a curve, concentrate on a tree or a building that would have been straight ahead. See if you can sense that you are trying to go straight but are being pulled into the curve by centripetal force. What is supplying the force, the friction of the seat, your seat mate, the wall, the arm of the seat, or a combination? How does this change when the curve is tighter or the bus is going faster? Write a few sentences about this experience. How does it connect to what happens on the rides at Frontier City? Page 5 of 65 OTHER BUS GAMES GRANDMOTHERS ATTIC One person starts, "In Grandmother's attic, there is an (word beginning with A)." So he might say "acorn." The next person in the car, in clockwise order, says, "In Grandmother's attic there is an acorn and a bumblebee." In other words, he adds another object, this one beginning with B. The next person adds an object beginning with C, after repeating the first two. Not only is it funny to hear what people find in Grandmother's attic, it can also get a bit tricky remembering the list as the alphabet progresses. Some people play that if you forget, you are out of the game, but we find it is more fun to give a person hints if he forgets a word. Then you can play it backwards, using the list you just created! "From Grandmother's attic I removed the zebra." "From Grandmother's attic I removed the zebra and the yak." MAP IT OUT Give your kids an opportunity to have their own copy of a map of where you are going. Show them how far you have come, how much further there is to go and let them mark it with a pen. Every time they ask "How much further?” have them take out their map and see for themselves. You might also like to get a compass and show them how it works along with the map. If your group is older, have them make their own map. Add roads, major cities, landmarks, and don’t forget to mark Frontier City! COUNTING COWS Count the cows you see on your side of the bus. If you pass a field full of lots of cows, you'd better count fast! If you pass a cemetery on your side of the bus, you lose all your cows, but only if the opposing team calls "your cows are buried!" This game gets interesting when distraction tactics are used to either cause your opponent to miss cows on their side of the road or to miss a cemetery on your side of the road. A white horse can count as a bonus. The team with the most cows wins. ROAD TRIP MATH Help your children figure out the gas mileage you've been getting. Have them read a map and figure the distance to your destination. Have them calculate how long it will take to get to your destination given your average speed. Have them predict how much it will cost to fill up the tank at the next gas station based on the price per gallon. Page 6 of 65 BUS RIDE PUZZLES ANIMALS BONES BUS RIDE COASTERS COLORS FIELD TRIP FIRE FIGHTER FRONTIER CITY GRAPHS MATH PHYSICS PLANTS RIVER RAPIDS ROBOTS SCIENCE SHAPES ZOO Try to fill in the missing numbers. *Missing numbers are between 1 and 9. *Numbers can be used more than once. *Numbers in each row add up to totals to the right. *Numbers in each column add up to totals along the bottom. *Diagonal lines also add up to the right. Puzzles made via www.puzzlemaker.com Page 7 of 65 ELEMENTARY Page 8 of 65 FIRST UP OVERVIEW What does everyone want to do first when they get to Frontier City? DIRECTIONS/ACTIVITY 1. Before going to Frontier City, choose what you would do first when arriving at the park. 2. Poll the class. ATTRACTION # OF STUDENTS Eat Play a game Ride a roller coaster Ride a water ride Buy a souvenir See an exhibit EXTENSIONS/ENRICHMENT 1. When the park first opens, what is the most popular attraction? 2. What would you do first if you did not want to wait in line? Page 9 of 65 INVENTING THE IDEAL RIDE OVERVIEW What do you think would be the ideal ride at Frontier City? Do you want it to be the biggest, the wettest, the maddest, the baddest, the most frightening, or just a lot of fun? MATERIALS Pencil Drawing Paper Various Art Supplies DIRECTIONS/ACTIVITY 1. Observe rides at Frontier City. 2. Make a list of the features of each ride that appeal to you. 3. Design what you think would be the ideal (ultimate) ride. Include safety factors that would ensure a safe ride. 4. Using the art materials, illustrate your ride. 5. Write a description of the ride and its special features. 6. Describe how you would feel riding this ride. EXTENSIONS/ENRICHMENT 1. What type of music would you play with your ride? 2. Can you select a song that would enhance the enjoyment of the ride? 3. Create a 3-D model of your ride. 4. Use personification to let the ride tell its “life” story. Page 10 of 65 IN ONE TURN OVERVIEW The capacity of a ride is the number of guests that can ride a ride at one time. Using repeated addition or multiplication, determine the ride capacity DIRECTIONS/ACTIVITY Use the data table to collect information about these rides Ride Name # of Cars Max guests per car Casino Bumper Cars Old 89er Train Tin Lizzys Sidewinder Diamondback Quick Draw Steel Lasso Ferris Wheel EXTENSIONS/ENRICHMENT 1. What ride/rides can hold the most guests in one turn? 2. Why do you think Frontier City limits the number of guests? 3. Graph your information Page 11 of 65 Total guests per ride PULSE RATE AND PURE RIDING ENJOYMENT OVERVIEW Your pulse is the regular throbbing in your arteries caused by contractions of the heart. To calculate your pulse rate, place your fingertips on your neck just under your chin and count the number of pulses in 60 seconds (or the number of pulses in 6 seconds and add a 0 to the end.) MATERIALS Worksheet Pencil Stopwatch DIRECTIONS/ACTIVITY Choose as many rides as you are tall enough and brave enough to ride; record on worksheet. For each ride you choose, take your pulse before you board the ride; record on the worksheet. Time the length of the ride in minutes and seconds; record on the worksheet. Take your pulse after you disembark from the ride; record on the worksheet. Rate how much fun you thought the ride was on a scale of 1 (no fun) to 10 (great fun). EXTENSIONS/ENRICHMENT 1. Describe the correlation between the length of the ride and your enjoyment of the ride. 2. Describe the correlation between your pulse rate and your enjoyment of the ride. 3. Why do you think people often close their eyes on a thrill ride? Why do you think people often scream on a thrill ride? Page 12 of 65 PULSE RATE WORKSHEET RIDE NAME RIDE LENGTH MINS:SEC PULSE RATE BEFORE AFTER Page 13 of 65 FUN SCALE 1 TO 10 HEALTH AND SAFETY OVERVIEW Health is being sound in mind, body or spirit. Safety is protection from undergoing or causing hurt, injury or loss. MATERIALS Large Drawing Paper Pencil DIRECTIONS/ACTIVITY 1. Fold the paper into three sections, or use worksheet on next page. 2. Label the sections: Home, School, and Frontier City 3. List the health and safety rules devised for each place. Explain the reasons for developing the rules specific to each place. 4. Do some rules overlap all three areas? Which ones? 5. Do some rules overlap two areas only? Which ones? 6. Are some rules specific to only one area? Explain Can be completed as a group activity using a bulletin board or butcher paper so everyone can have better access to the paper. Page 14 of 65 HEALTH AND SAFETY WORKSHEET HOME SCHOOL Page 15 of 65 FRONTIER CITY HEAR YE! HEAR YE! OVERVIEW There are noises all around us. They can be silly, quiet or even scary, but they are everywhere if you pay attention and listen for them. MATERIALS Paper Pencil DIRECTIONS/ACTIVITY 1. Fold the paper into three sections, or use worksheet on next page. 2. Label the sections: Home, School, and Frontier City. 3. Keep a list of all the sounds you hear during: one school day, the field trip to Frontier City, and an evening at home. Indicate their sources. Analyze your lists. What similarities and differences do you see among the three sections? Explain. 4. Categorize these sounds by their characteristics, (i.e. loud, soft, quick, slow, harsh, gentle, etc.) 5. Imitate some of the sounds by using your voice and/or body. Can be completed as a group activity using a bulletin board or butcher paper so everyone can have better access to the paper. Page 16 of 65 HEAR YE! HEAR YE! WORKSHEET HOME SCHOOL Page 17 of 65 FRONTIER CITY SIGNS, SIGNS, EVERYWHERE ARE SIGNS! OVERVIEW A sign is something visual that serves to indicate the presence or existence of something. MATERIALS Drawing Paper Pencil Crayons, Colored Pencils, or Markers DIRECTIONS/ACTIVITY 1. 2. 3. 4. 5. 6. Fold the drawing paper into three sections, or use worksheet on next page. Label the sections: Home, School, and Frontier City. Draw the different signs you see in each place. Under each sign, write one sentence describing the purpose of each. Are there any similarities in your three sections? Explain. Are there any differences in your three sections? Explain. Can be completed as a group activity using a bulletin board or butcher paper so everyone can have better access to the paper. Page 18 of 65 SIGNS WORKSHEET HOME SCHOOL Page 19 of 65 FRONTIER CITY PICTURE THIS OVERVIEW A picture is worth a thousand words. A picture can also be used as a creative approach to problemsolving. MATERIALS Paper Pencil DIRECTIONS/ACTIVITY 1. Divide into groups of five to seven people. 2. Pretend one of your friends has a camera and wants the teacher to take a picture of the group as a memento of the trip to Frontier City. 3. How many ways can those people be posed in a line for a picture? 4. Use the creative problem-solving steps listed below. 5. Show your work. EXTENSIONS/ENRICHMENT 1. Tell where in Frontier City you would choose to pose and why. 2. Take a camera and take snapshots of your options. How does this compare with the problemsolving you did? Was it easier? Explain. 3. Change the number of students in the group. Page 20 of 65 WHERE DID THE TIME GO? OVERVIEW A schedule is a written timetable. MATERIALS Schedule Pencil DIRECTIONS/ACTIVITY 1. On the included worksheet, complete the schedule of your day at Frontier City. Write the names of the activities in which you participate. 2. For each activity, write down the time you begin it, the time it ends, and the total time you spent at that activity. 3. Analyze the data. 4. In what type of activities did you spend the most time? Why? Can be completed as a small group activity. Page 21 of 65 WHERE DID THE TIME GO? WORKSHEET ACTIVITY TIME BEGAN Page 22 of 65 TIME ENDED TOTAL TIME GIVE ME DIRECTIONS OVERVIEW A route is a prearranged way or course of travel. MATERIALS Drawing Paper Pencil Crayons DIRECTIONS/ACTIVITY Choose one of the following activities to complete: 1. Draw (map) the shortest route from the entrance of Frontier City to your favorite ride. Include symbols and a key. Were there other routes to your favorite ride? Why do you consider the route you mapped the best? 2. Draw (map) the shortest route from the entrance of Frontier City to the Grand Centennial Ferris Wheel. Include symbols and a key. Were there other routes from the entrance to the Grand Centennial Ferris Wheel? Why did you consider the route you mapped the best? EXTENSIONS/ENRICHMENT With a recording device such as a cell phone, verbally record directions from the entrance to your favorite ride. Be detailed enough in your description that a sight impaired person could find the ride. What variables were you concerned with when completing this verbal activity? Page 23 of 65 COLORS, COLORS, EVERYWHERE! OVERVIEW Colors are all around us, on the rides, the plants, buildings, everywhere. During your visit to the park, write down what colors you see and where. MATERIALS Paper Crayons or pencil DIRECTIONS/ACTIVITY 1. Write down the location of where you found each color listed below. 2. If all the rides were the same color, do you think they would still look fun? Why or Why not? Red Orange Yellow Green Blue Purple Page 24 of 65 FIND THAT SHAPE! OVERVIEW To find basic shapes throughout the park. MATERIALS Paper Pencil DIRECTIONS/ACTIVITY 1. Draw a picture of the shapes below. 2. Find the shapes in the park. 3. Write down the location of where you found each shape. Circle Square Triangle Rectangle Pentagon Oval Page 25 of 65 ARBORETUM AT FRONTIER CITY OVERVIEW As you enjoy your visit at the park, you will notice all the plants, flowers and trees. MATERIALS Pencil DIRECTIONS/ACTIVITY Next to each picture, write where each of the following plants can be found. Golden Bamboo (Phyllostachys aurea) Purple Heart (Setcreasea pallida) Geranium (Pelargonium hortorum) Angel Wings (Caladium hortulanum) Monkey grass (Ophiopogon japonicas) Mother-in-law’s tongue (Sanseveria trifasciata) Page 26 of 65 Redbud (Cercis canadensis) Bradford Pear (Pyrus calleryana) Sycamore (Plantanus occidentalis) Eastern Cottonwood (Populus deltoids) Page 27 of 65 QUESTIONS OVERVIEW A schedule is a written timetable. MATERIALS Schedule Pencil DIRECTIONS/ACTIVITY As you walk through the park, take this list of questions and jot down notes for each of the questions below. 1. Do the operators of the rides load people in a special way? Note specifics. 2. Does the weather affect the operation of the rides? Why? How? 3. Count the number of different rides you have seen and determine what fraction of the rides are adult rides and what fraction of the rides are for small children. Use tally marks to keep track of your count. Adult Rides Adult Rides Fraction __________ Kids Rides Total Rides Kids Rides Fraction __________ 4. How is color used in Frontier City? 5. A pendulum is an object suspended from one point which can swing freely to and from (affected by gravity). The Prairie Schooner ride in Frontier City works on this principle. What examples of a pendulum have you seen around your home or school? Explain your answers. 6. What sponsors have you seen represented in Frontier City? Where were the advertisements for these sponsors located? 7. A regular priced season pass to Frontier City costs $65.99 for the 2012 season. A single day’s admission costs $34.99. How many times would you have to go to the park in one season to get your money’s worth for a season pass? Page 28 of 65 MIDDLE SCHOOL Page 29 of 65 WHAT’S IN A NAME? OVERVIEW Find out the average length of the names of rides at Frontier City. MATERIALS Pencil Calculator DIRECTIONS/ACTIVITY 1. Pick 10 rides at Frontier City. 2. List the rides in order from fewest letters to most letters. 3. Find the mode. 4. Find the median. 5. Find the mean. 6. Find the range. 7. Are there any rides that have more than one name? Which ones? 8. Do you think the park considers the length when they name rides? Why or why not? 1._____________________________________ 1._____________________________________ 2._____________________________________ 2._____________________________________ 3._____________________________________ 3._____________________________________ 4._____________________________________ 4._____________________________________ 5._____________________________________ 5._____________________________________ 6._____________________________________ 6._____________________________________ 7._____________________________________ 7._____________________________________ 8._____________________________________ 8._____________________________________ 9._____________________________________ 9._____________________________________ 10.____________________________________ 10.____________________________________ Page 30 of 65 WHAT’S YOUR FAV? OVERVIEW By asking yourself and other students, find out what is the favorite type of ride. MATERIALS Pencil Graph DIRECTIONS/ACTIVITY 1. In the questionnaire below, circle the responses that best describe you. 2. Collect data from the entire class and put it into the bar graph on the next page. A I like all roller coasters B I like some roller coasters C I don’t like roller coasters 2 I like to get drenched on water rides I like to get a little wet on water rides I don’t like water rides 3 I like rides that spin around in circles I like to spin a little on rides I don’t like to go in circles on rides 4 I like rides that lift you off the ground I like to be a little off the ground I don’t like rides that leave the ground 1 EXTENSIONS/ENRICHMENT 1. Which rides to students like the most? 2. Use a calculator to determine the percentages of what rides students like. FAVORITE RIDE BAR GRAPH 30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 A B 1 C A B 2 C A Page 32 of 65 B 3 C A B 4 C ENERGIZED! OVERVIEW The Law of Conservation of Energy states that the total amount of energy in a system remains constant, although energy transforms from one form to another (often as potential to kinetic energy and visa versa). Potential energy is stored energy, or energy of position, because the energy stored depends on the position of the object. Many times, this is in the form of Gravitational Potential energy because of an object’s position above the ground. Kinetic energy is the energy of motion. A skier at the top of a slope has stored energy, or gravitational potential energy. When the skier leaves the top, the potential energy is transformed into kinetic energy. Mechanical work is the process of using of fuel-powered machines to add energy to a system (often to give something gravitational potential energy in raising it to a new height). All of these types of energy combine to create the thrill rides at Frontier City. MATERIALS Paper Pencil DIRECTIONS/ACTIVITY 1. Compare the rides on the worksheet that use energy transformation to complete the ride. These include the Silver Bullet, Wildcat, Diamondback, Steel Lasso, Eruption and Hangman rides. Record your data on the worksheet. 2. What effect does the transformation of energy have on the sensation of the ride? For example, what is the feeling you have as gravitational potential energy is transformed to kinetic energy on a roller coaster ride? 3. When in a roller coaster ride do you feel the greatest effects of this transformation? 4. Using the table on the next page, label the energy transfers (mechanical work, kinetic, and gravitational potential energy). Use the picture below if it helps! Page 33 of 65 ENERGIZED WORKSHEET RIDE MAX POTENTIAL ENERGY MAX KINETIC ENERGY Page 34 of 65 USE OF MECHANICAL ENERGY OVERVIEW LOOP THE LOOP A loop is any roughly circular or oval pattern or path that closes or nearly closes on itself. Several rides at Frontier City use a loop to create a thrill ride. Several principles of physics make such rides possible. Inertia is a physical property that keeps moving things moving or keeps motionless things still, unless an outside force acts on them. (When a bus driver slams on the brakes, the bus slows rapidly but your body keeps moving until the seat in front of you stops you – that’s inertia!) A centripetal force is the label we give to real forces that cause an object to turn in a circular path. (When you speed around a corner, inertia sends you and the car in a straight line but a centripetal force such as friction on the car tires pushes the car towards the center of the curve. Your body’s inertia forward while the car stays in the curve gives the impression of your body being “pushed” against the door but no force is present to do that – it’s inertia!) The loops and curves on roller coasters and other looping rides put these factors to use. At the top of a loop when you are upside down and inside the circle, your weight, which always acts downward, will try to pull you out of the seat. But because you are moving so fast around the circle and your body wants to go in a straight line, you will feel the sensation of being “pushed” away from the center of the circle. That sensation is not a true force but is simply inertia. That sensation outwards at the top of the loop works opposite of your weight down and so you feel “weightless” even though you still have weight. At the bottom of the circle, you again feel “pushed away” from the center of the circle but this time, it’s in the same direction as your weight. MATERIALS Paper Pencil DIRECTIONS/ACTIVITY 1. 2. 3. 4. 5. 6. 7. 8. Select one of the following rides: Silver Bullet or Diamondback. Observe the ride Predict where you will: a.) feel “weightless”; b.) feel the heaviest. Ride the ride. Were your predictions correct? ______ Answer the following questions. Where in the ride did you feel “weightless”? Explain why. Where in the ride did you feel the heaviest? Explain why. A centripetal force is any real force that acts towards the center of a circle or curve. What two real forces are pushing on your body at the top of the loop to keep you from flying outwards? Hint: one has to do with gravity and the other has to do with something pushing your “bottom”. 9. At the bottom of the loop, only one of those two forces in the previous question is acting towards the center of the circle. Which is it? 10. Identify at least one place where you see a transformation of energy. Identify the types of energy in the transformation. EXTENSIONS/ENRICHMENT Diagram the path of the ride. Label where you see energy transfers and centripetal force and where you feel “weightless”. Page 35 of 65 SPINNING WHEELS OVERVIEW Some of the rides at Frontier City have one or more circular routes. The diameter of the circle, the number of circles, and the speed of the ride all contribute to unique ride experiences. Real forces such as the seat pushing on you act as a centripetal force to keep you from flying outwards which is what inertia is trying to do. MATERIALS Paper Pencil DIRECTIONS/ACTIVITY 1. 2. 3. 4. 5. 6. 7. 8. 9. Select three rides that travel in a circle. Compare and contrast the rides by filling in the data table. Count how many circles are involved in the ride. Identify where centripetal force (if any) is used and how. Using the numbers 1 through 3 and with the number 1 being the fastest circle, rate the three rides from fastest to slowest. Diagram the path you take as you ride the ride. What would happen if the car you were riding in came loose? Diagram the path that car would take. Remember that inertia wants to keep you going in a straight line. Does the location where you sit in the rides have an effect on what you feel during your ride? Explain for each ride. Which ride would you least like to ride in a car with a 350 pound gorilla? EXTENSIONS/ENRICHMENT 1. How could the rides be applied to everyday uses? Does the idea of a Ferris wheel relate to anything you know? Find other rides that correspond to something in your daily life? 2. Calculate the actual speed of each circular ride. Page 36 of 65 SPINNING WHEELS DATA TABLE RIDE # OF CIRCLES USE OF CENTRIPETAL FORCE TO KEEP YOU FROM FLYING OUT Page 37 of 65 RANK THE SPEED 1-3 PACING THE PATH OVERVIEW One definition of a circle is a cycle, a period, or a complete or recurring series usually ending as it begins. The paths throughout Frontier City all circle back to the entrance to the park. You can estimate the length of the paths by using your pace. MATERIALS Paper Pencil Chalk to Mark on Pavement Map of Frontier City Meter Stick DIRECTIONS/ACTIVITY 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. Mark a starting point. Measure ten meters. Mark an ending point. Using a natural stride, pace off the ten meters three separate times. Total the number of steps. Find the average of the three times. (average = total number of steps divided by 3). This is “your pace” for every 10 meters. Use your pace to measure distances and complete the following formula: “your pace” = number of steps 10m number of meters Start at the entrance to Frontier City. As you enter, turn right and proceed to the Carousel ride. Keep count of your normal paced steps. Using the ratio above, determine the distance in meters to the carousel. This is an estimated figure. How can you check your answer? Retrace your steps and figure again. Keep a log for the day of how far you travel while visiting Frontier City. Page 38 of 65 INANIMATE ANIMATION OVERVIEW Personification means to instill inanimate objects with human qualities. This literary device allows a person to view objects from a different perspective. Personifying the rides at Frontier City is a way to see the theme park and its activities from a different point of view. MATERIALS Paper Pencil Art Supplies (optional) DIRECTIONS/ACTIVITY 1. 2. 3. 4. Select a ride that travels in a circle or makes a loop. Observe the ride. Go on the ride if you can. Pretend you are the ride. Take on the characteristics of the ride. Observe what goes on around and during the ride. Note the noises of the people and the actions that are occurring. 5. Write the story about “One Day in My Life as a Ride.” 6. Look for patterns in the way passengers on the ride react, how the ride operates etc. Include these in your story. 7. Be sure to write in the first person (I, we, etc.). EXTENSIONS/ENRICHMENT 1. Draw a picture of your ride. Give it some personality. (Where are the rides “eyes,” etc.). 2. Select a ride you think is most like you. Explain the traits you share. 3. Have the class read your story and guess what ride you have described. Page 39 of 65 MAY I HELP YOU? OVERVIEW Whether working directly with the public or behind the scenes, the employees play an important part in making every guest’s visit to Frontier City memorable. The staff is offered the best training, communication, and support. Spend some time observing the staff in action. This could be you someday. MATERIALS Paper Pencil Employee Interview Questions (optional) DIRECTIONS/ACTIVITY 1. Observe an employee performing his or her duties. 2. Make a list of skills the employee needs to do the task successfully. 3. What skills taught in school would assist this employee? 4. Does the employee repeat any tasks? Do you see a pattern? 5. Write a job description for this particular job. Include your observations. EXTENSIONS/ENRICHMENT 1. Compare and contrast this task with other jobs performed at Frontier City. 2. Design a flyer to be given out at high schools for prospective employees at Frontier City. Include the attributes you observed. Page 40 of 65 AT THE POLLS OVERVIEW An opinion poll is a count of the opinions of people (i.e., how people think or feel about something). Collecting opinions through a poll is an effective way to see patterns in the way people think or feel about the rides or events at Frontier City. Businesses use these types of polls periodically to assess the effectiveness of their operations. MATERIALS Poll Prepared Before Arrival DIRECTIONS/ACTIVITY 1. Before taking a field trip to Frontier City, decide upon a topic you would like to use for data collection (examples include: favorite ride, number of times one ride ridden during a trip to Frontier City, favorite food at Frontier City, number of visits to Frontier City during the season, etc.). 2. Create a simple poll collection sheet. 3. Keep your survey to one or two questions. 4. At Frontier City, find an appropriate place to collect your data. 5. Sample at least 20 people. 6. Write a conclusion to your findings. How can information be of help to Frontier City? Would your survey results differ if you were polling elementary students? Adults? EXTENSIONS/ENRICHMENT 1. Do the same survey at school. How do your results differ? 2. Graph your data with a bar graph. Page 41 of 65 YOU SEE WHAT YOU EAT OVERVIEW Notice the signs hanging in front of the various eating establishments. They all clearly indicate what kind of food is served there with words and pictures. MATERIALS 9” by 12” Manila Paper Colored Pencil Notebook Paper DIRECTIONS/ACTIVITY 1. Write a description and draw sketches of at least three signs in the park. What is the sign advertising? Is there a constant theme among all the signs? 2. A new restaurant is coming to the park. It is going to serve hot dogs. Working in groups of two or three, develop a name for the new restaurant. Next, develop a drawing of the design to be used for the new sign. 3. Present your ideas to the other groups and then decide which one would best represent the new restaurant. EXTENSIONS/ENRICHMENT 1. Do some research on careers in advertising. Find out what kind of jobs are available in this field. Do these people work independently or as part of a team? 2. Break students into groups and have them develop an advertising campaign for Frontier City. This should include television and radio ads to be aired the following summer, as well as brochures. Page 42 of 65 YOUR POINT OF REFERENCE OVERVIEW The Angle from which you see something is your point of reference. The shapes and forms you see change as your pint of reference changes. MATERIALS Notebook Paper Pencil Sketch Paper DIRECTIONS/ACTIVITY 1. While riding the Grand Centennial Wheel, make three different sketches from your different points of reference: one from the top of the wheel, one from the middle area, and one from the bottom of the ride. 2. Identify all of the geometric shapes that you can find on the Grand Centennial Wheel. Describe how these shapes change as your point of reference changes. 3. Look at the colors on objects as your point of reference changes. Do the colors change in intensity as your position changes? If so, describe the changes. EXTENSIONS/ENRICHMENT 1. Back in the classroom, have students discuss how their point of reference changed and how the park looked to them as they rode the ride. 2. Have them identify when things appeared to get smaller and when things appeared to get larger. 3. Students should then select one of their sketches to enlarge on 18” by 24” paper and develop as a painting Page 43 of 65 CLOUDS IN THE SKY OVERVIEW Clouds in the sky can tell you many things, like which way the wind is blowing, and if there is a storm brewing. Answer the questions below based on the clouds in the sky. MATERIALS Pencil and paper DIRECTIONS/ACTIVITY 1. 2. 3. 4. Look up in the sky. Are there any clouds? What kind are they? Are the clouds moving? Which direction? Is the wind blowing the same way? Based on the information below and the clouds in the sky, what kind of weather will we have? How do clouds play a role in the temperature of the earth? A) Cirrus – They are ice clouds that look like feathers or streamers. They are always up high where the temperature is below freezing. Wind currents twist the ice crystals into wispy strands. A lot of these can signal stormy weather in the future. B) Cumulus – Look like several big puffs or cotton balls. Usually occur in fair weather, but could turn into a cumulonimbus, which is a serious storm cloud. C) Cumulonimbus – Also known as a wall cloud, it is a very tall, dense cloud. It has a flat bottom that can be several miles wide. When this cloud is present, take cover as it produces heavy rain, lightning and sometimes hail. D) Altocumulus – Look like sheets of fluff. Made up of liquid water, but hardly make rain. They show unstable weather conditions, and can sometimes lead to storm clouds. MATCH THE PICTURES WITH THE DESCRIPTIONS ABOVE. Photos Courtesy of spaceplace.nasa.gov Page 44 of 65 HIGH SCHOOL Page 45 of 65 BUS RIDE OVERVIEW Calculate average acceleration and speed from observation of the speedometer. MATERIALS Pencil and Paper Calculator Stopwatch DIRECTIONS/ACTIVITY Using a stopwatch, find the amount of time necessary for the bus to accelerate from 35 mph to 55 mph. You may need to have the bus driver call out these events – follow bus safety rules at all times. From this data, you should be able to calculate the average acceleration in that time interval. Observe the mileage on the odometer when the trip starts and when the bus stops at Frontier City. Time the trip from the school to Frontier City. From observed data, calculate the average speed for your bus during the entire trip. EXTENSIONS/ENRICHMENT 1. How do your average acceleration and speed compare with those of other buses? 2. Why would your results be different? 3. Convert all measurements to metric units. Page 46 of 65 WANNA BE POPULAR? OVERVIEW In this activity, students will use their communication skills to express their view of the rides in Frontier City. The student’s opinions will be used to determine which of the rides is the most popular and the percentage of students who like each ride. Each student should have some prior knowledge of the methods for calculating percentages and graphing. MATERIALS Scientific Calculator Two Sheets of Graph Paper Student Worksheets DIRECTIONS/ACTIVITY 1. Ride ten rides, recording each ride and your likes and dislikes. 2. After completing the worksheet, indicate which ride you felt was the most popular ride. 3. As a class, list all of the available rides, count how many chose each ride as the most popular, and complete the chart on the student worksheet titled Ride Results. 4. Using the count for each ride and the total number of people who completed the survey, calculate each ride’s percentage and complete the chart on the student worksheet. Designate which ride was the most popular at Frontier City. 5. Using the graph paper, graph the results (a graph for the count and a graph for the percentage). Page 47 of 65 LIKES AND DISLIKES RIDE LIKES Page 48 of 65 DISLIKES RIDE RESULTS Rides Most Popular (No.) Most Popular (%) Number in Class 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. Which ride did the class find to be the most popular? __________________________________ Page 49 of 65 PARALLEL, PERPENDICULAR, OR INTERSECTING? OVERVIEW After drawing a rough sketch of each ride chosen, students will identify where they find a representation of parallel, perpendicular, or intersecting lines and/or planes and also write a brief description of where they see this representation on the ride. MATERIALS Pencil Student Worksheets DIRECTIONS/ACTIVITY 1. After riding at least four rides, draw a rough sketch of each ride on the student worksheet. 2. On the rough sketch, indicate where there is a representation of the following: parallel, perpendicular or intersecting lines, planes or both. 3. After indicating the representations on the rough sketches, write a brief description on the back of the student worksheet. EXTENSIONS/ENRICHMENT 1. As a class, examine the different things that each student saw from observing and riding each ride. 2. As a class, count the number of different representations found for parallel, perpendicular, or intersecting lines and/or planes. Page 50 of 65 RIDE: ROUGH SKETCH: RIDE: ROUGH SKETCH Page 51 of 65 WHAT ARE THE COSTS? OVERVIEW Students will use their descriptions of their day at the park to calculate the total cost of a day at Frontier City for one person, the least amount of money spent by one person, and the most amount of money spent by one person. MATERIALS Scientific Calculator Small Notebook Student Worksheets DIRECTIONS/ACTIVITY 1. In a notebook, write down what you did for the day, what was purchased throughout the day (include the particular item purchased and how much it cost), and your general feelings about the day. The information in the notebook will be used to write a full description of your day at Frontier City. 2. On the student worksheet titled Cost of One Day, use the information from the notebook about money spent to complete the chart. 3. Using the information on this chart and a calculator, complete the chart by calculating the cost for buying each item and the total cost for the day. 4. Examine what each student spent on their day at Frontier City. On the student worksheet titled Class Cost at Frontier City, each student should answer the questions based on the class discussion. Here are the common Outdoor Classroom prices: Parking: $8 Admission: $14.50 +tax Meal Deal from Catering: $7.50 +tax Tax rate: 8.375% Page 52 of 65 WHAT ARE THE COSTS WORKSHEET Item Purchased Price Quantity Total Cost Total cost for one day: ____________________ 1. How did your cost for one day compare with the costs for other students in your class? 2. What was the smallest cost for one person in one day? 3. What was the largest cost for one person in one day? 4. When you made purchases did you shop around for the best price or did you just buy at the first place you came to? 5. Are there differences in pricing or will you pay the same throughout the park? Page 53 of 65 RIDES Page 54 of 65 PRAIRIE SCHOONER OVERVIEW What does it feel like to ride a pendulum? On Frontier City’s Prairie Schooner, you have a chance to find out! MATERIALS Paper Pencil Stopwatch DIRECTIONS/ACTIVITY The length of the Prairie Schooner pendulum is 12.4 meters. Once the ride gets going and you are no longer angling further out (the middle of the ride), count the number of oscillations and measure the time for those oscillations. 1. From your data, calculate the frequency of the pendulum. 2. Calculate the period of the pendulum. 3. Calculate the value of gravity based upon the period of the pendulum. 4. Using percent error, compare your results from step 3 above to the accepted value of gravity (9.8 m/sec2). EXTENSIONS/ENRICHMENT 1. How would you change the shape, color, size etc. of the Prairie Schooner to draw more guests to the ride? Explain why your ideas would work? 2. Is the ship a true example of a pendulum? Why or why not? 3. Explain how conservation of energy applies to the Prairie Schooner ride. Page 55 of 65 THE SILVER BULLET The Silver Bullet was the first looping roller coaster at Frontier City. The ride was originally designed to be a movable for use in carnivals. If you take the time to look at the entire ride before you go on it, you will notice several large pits of water. These pits provide the ballast for this ride – in other words, the weight of the water is what keeps the ride on the ground when there is a lot of vertical force applied to the track. OBSERVATIONS AND MEASUREMENTS 1. While riding the Silver Bullet, where did you feel the heaviest? 2. While riding the Silver Bullet, where did you feel the lightest? 3. Where is the highest point on the ride? 4. How do the cars get to the highest point on the track? QUESTIONS AND CALCULATIONS 1. Why would the initial hill have to be the highest point on the ride? 2. What does that tell you about how roller coasters in work general? 3. Since we know the total length of the track and we can measure the time that it takes the cars to complete one circuit, what is the average speed of the cars on this ride? 4. If the brakes are not applied to the cars as they come back through the loading area and the cars are allowed to go right on through and exit this area at the speed they have when they entered it, would the cars have enough energy to get back up to the top of the first hill? Explain your answer. 5. If this was a perfect closed system and there was no loss of energy from friction and air resistance, how would you have answered question 4? Explain your answer. 6. Why do you think Frontier City uses a clothoid loop instead of a circular loop with a constant radius on its roller coasters? Clothoid Loop Page 56 of 65 DODGE-UM BUMPER CARS Bumper cars are one of the few rides where the riders are in control of the vehicle. Because of this, bumper cars are a favorite among those of us who may not be comfortable with looping roller coasters or giant Ferris Wheels. Watch or ride the bumper cars for a little while and then answer the following questions. 1. What type of safety equipment is provided with the bumper cars? 2. How is electrical energy supplied to the bumper cars? Since electrical energy flows in a circuit, what would a drawing of the complete circuit for the bumper cars look like? 3. What types of collisions did you observe? Describe them using the front, rear, and sides of the bumper cars as reference points. 4. Pick two different types of collisions and draw diagrams showing what happened to the cars involved in these collisions. Use vectors in you diagrams. 5. Using the same two collisions that you drew above, draw diagrams showing what happened to the passengers of the bumper cars. How did they move in relation to the car they were riding in? 6. If an unloaded bumper car has a mass of 170.54 kg and is moving at a velocity of 1.79 m/s, how much kinetic energy does it have? 7. State the Law of Conservation of Momentum. 8. Is momentum always conserved in a collision? Explain your answer. Page 57 of 65 GRAND CENTENIAL FERRIS WHEEL 1. Select a person to time the ride for 1 or 2 CONTINUOUS revolutions. Record the time. 2. Obtain the diameter of the Ferris Wheel from the information page. Determine the circumference. 3. Multiply the circumference by the number of revolutions you timed. Record the distance. 4. Calculate the average speed of the Ferris Wheel. EXPERIMENT #1 Close your eyes and keep them closed for what you feel are two rotations. Notice your position from the ground just before closing and right after opening your eyes. 1. After opening your eyes, how close were you to your original position? Why is this? 2. How did you know when you were moving up or down since you could not see? EXPERIMENT #2 Next, with your eyes closed, sit on your hands palms down for two rotations. Note your position before closing and after opening your eyes. 1. At what point did you sense the most weight on your hands? The least weight? Why? 2. At what point, if any, did you get stomach butterflies? How does this relate to the effect of gravity on the food/drink in your stomach? 3. What is acrophobia? Page 58 of 65 MYSTERY RIVER LOG FLUME BEFORE THE RIDE… 1. Notice the shape of the very front of a log, not very aerodynamic. Why? 2. Four people may ride in each log. If the most weight it can carry is 950 lbs, what is the average weight per person at this maximum? 3. If there is a lot of mass up front, is the splash larger or smaller? Why? 4. Does the distribution of mass influence the duration of the splash? How? 5. Where on the ride do the riders lunge forward? Why? DURING THE RIDE… 1. Does the log move through the water or does the water move with the log? 2. Where do you feel you are moving the fastest? Why? 3. Where do you feel you are moving the slowest? Why? 4. In some areas your log slows down rapidly. What happens to the water here? 5. Does the water move uphill when the log goes uphill? Is there water at the high areas of the ride? Page 59 of 65 VELOCITY 1. Select someone to time the ride from the moment the boat leaves the loading station until you stop completely at the unloading station. Record the time. 2. Obtain the length of the log flume. Record the distance. 3. Calculate the average speed. 4. Obtain the maximum height of the hill. Record the height. 5. Obtain the value for gravity. Calculate the maximum velocity in meters. POWER 1. Select someone to time the ride from the bottom to the top of the highest hill. Record the time. 2. Obtain the maximum height of the hill. Record the height. 3. Obtain the mass of the boat. Record the mass. 4. Obtain the value for gravity. Calculate the power it takes to lift the boat to the top of the hill. Page 60 of 65 THE DIAMONDBACK One of the most unique roller coasters at Frontier City is the Diamondback. Unlike most coasters, it starts high up in the air. The riders get “shot out” from the starting point, go down a steep drop, through a four story loop, up an incline and finally, are slowed down to a complete stop, only to go through the whole thing backwards! Since the loop on the Diamondback is very similar to the one found on the Silver Bullet, the data regarding G forces should be similar. While the Silver Bullet is a one-way ride, the Diamondback is a two-way experience. Keep these facts in mind as you answer the following questions. You will probably need to ride the Diamondback several times to answer these questions. The other option would be to compare experiences with other students who have ridden this ride. You will need to compare the experiences of those who rode in the front, the approximate middle, and at the end of the train. 1. What type of loop is used on this ride? 2. Describe the physical feelings you experienced on that ride – where did you sit, what you felt on the first drop, what your speed was as you went through the loop, and what it was like to go through the ride backwards. 3. How is this the same or different from other roller coasters you have ridden? 4. Did your rides forward and backward feel the same or different? Explain. 5. Where do you need to sit to feel the most lift, or the least amount of gravity, on the first drop? Explain. 6. Does the initial height affect the way that the cars are accelerated? How? 7. Calculate the mass of a rider who has an initial mass of 100 kg as he/she encounters the G-forces entering the loop. Page 61 of 65 USEFUL DEFINITIONS ACCELERATION – The rate at which velocity changes. Usually we try to explain how fast this change has occurred. The units of acceleration are meters per second squared (m/s2). AIR RESISTANCE – The force of air pushing against an object, also known as drag. CENTRIPETAL FORCE – An apparent push or pull which keeps an object moving in a curved path. The centripetal force is not a real force – it is simply a label we apply to real forces such as friction, weight (at the top of the loop), the push of a seat, etc. The direction of the force is always toward the center of the circle formed by the object’s path. FORCE – In its simplest terms a force is a push or a pull. FRICTION – A resistance to motion due to two surfaces in contact with each other. Two objects in contact will push or pull on each other when any type of movement takes place. Air resistance is one type of friction. GRAVITATIONAL POTENTIAL ENERGY – The energy an object possesses by virtue of being above some other level. As an object falls, it picks up kinetic energy as gravitational potential energy is transformed into kinetic energy. The farther the object falls, the more energy it picks up. The only way for the object to get gravitational potential energy in the first place is to be raised, or lifted, to some height above the surface of the Earth. This height gives the object a potential energy. GRAVITY – The attraction between two bodies of matter. The strength of this attraction is based on the masses of the two bodies and their proximity to one another. An object’s weight is an expression of gravity acting between that object and the Earth. Gravity on the Earth is a value equal to 9.8 m/s2. INERTIA – The tendency of an object, if it is at rest, to remain at rest or; if it is in motion, to remain in motion at a constant velocity. KINETIC ENERGY – The energy an object has because of its motion. The faster you go, the more kinetic energy you have. Some rides, like roller coasters, convert gravitational potential energy into kinetic energy. The total of gravitational potential energy and kinetic energy for these rides remains equal, except for the energy lost to friction and air resistance. MASS – The amount of matter an object has. According to Newton’s Second Law of Motion, the more mass an object has the more force is required to accelerate that object. VELOCITY – How fast an object is moving in a specific direction. Page 62 of 65 USEFUL FORMULAS Circular Movement: C = πd = 2πr v = C/t = 2πr/t C = circumference d = diameter r = radius Linear Movement: v = Δd/Δt a = Δv/Δt v = velocity d = distance t = time v = velocity t = time a = acceleration Gravity: At the surface of the earth: g = 9.75 m/s2 If acceleration is constant: vf = vo + at d = vot + at2/2 vf = final velocity vo = original velocity (32 ft/s2) a = acceleration If starting velocity is 0: d = at2/2 a = acceleration Force (newtons - n): F=m*a m = mass Work (joules – j): W=F*d f = force d = distance Power (watts – w): Pw = mgh / t t = time m = mass (kg) t = time t = time d = distance d = distance a = acceleration g = gravity (m/s2) h = height (meters) Power (Hp): Php = Pw / 746 Kinetic Energy: KE = ½ mv2 m = mass Maximum Velocity v = √2gh g = acceleration due to gravity v = velocity Page 63 of 65 h = vertical distance fallen RIDE DATA Vertical Drop (A) SILVER BULLET 70 ft. WILDCAT DIAMONDBACK 65 ft. 65 ft. Metric Weight of cars 21.34 m 4000 lb. 19.81 m 3500 lb. 19.81 m 3500 lb. Mass of cars 1818.18 kg 1590.91 kg 1590.91 kg Length of train 35 ft. 40 ft. 500 ft. Metric Length of ride 10.67 m 1875 ft. 12.19 m 2475 ft. 10.67 m 500 ft. 571.50 m 3 mph (speed at point 1) 754.38 5 mph 152.40 m 20 mph Metric Speed entering initial drop 4.8 km/h Metric 8.05 km/h 32.2 km/h The vertical drop (A) is the distance from the highest point of the coaster straight down to the ground. The speed at point 1 (the speed entering the initial drop) is the speed provided by the chain drive on the Silver Bullet and the Wildcat. On the Diamondback, it is the speed provided by the catapult system. See figures 1 and 2 for clarification. Silver Bullet Height of loop G forces Entering the loop 64 ft. 47.7 G’s, front car 31 G’s, rear car Top of the loop .6 G’s Exiting the loop 2.9 G’s, front car G’s, rear car Diamondback G forces Entering the loop Exiting the loop 4.2 G’s, front car 4.2 G’s, rear car Dodge-Ums Bumper Cars Weight of car Maximum Speed 375 lb. (170.54 kg) 4 mph Page 64 of 65 Prairie Schooner Length of center support Length of boat Maximum swing angle Maximum g forces Minimum g forces 25 ft. (7.62 m) 46 ft. (14.02 m) 175 degrees 1.4 .4 Carousel Inside radius Outside radius 7.5 ft. (2.29 m) 15 ft. (4.57 m) Ferris Wheel Revolutions per minute Diameter Number people per car Number of cars Weight of cars 2.5 90 ft. (27.43 m) 6 20 250 lb. (113.64 kg) Log Ride Weight of logs Length of logs Distance up on pulley Length of drop 300 lb. (136 kg) 9 ft. (2.74 m) 45 ft. (13.72 m) 55 ft. (16.76 m) Renegade Rapids Rate of water flow (pumps) Length of ride Weight of boats Size of boat 60,000 gallons/hr. 1,200 ft. (365.76 m) 500 lb. (227.27 kg) 8 ft. diameter (2.44 m) Sidewinder Maximum speed Length of center arm Revolutions per minute Length of gondola arm Revolutions per minute 25 mph 14.37 ft. 11.4 11.16 ft. 27 Page 65 of 65