MECHANICAL MONSTERS Teacher’s Guide Notes Junkyard Wars In a 45-minute class period, you will not have enough time to show an entire episode and have students work on their reproducibles. You may show the first segments and allow students to make hypotheses, answer questions, and evaluate some program events. Show the final segment featuring the outcome of the program challenge during the next class period. This popular television show is anything but trashy entertainment. Each episode takes place in a huge, specially constructed junkyard, where two teams of engineers and mechanics get 10 hours to build machines scrounged from junk. Later the teams put their contraptions to the test in a competition. Viewers watch as the teams work to meet the same challenge in different ways. In 60-minute class periods, you can show an entire episode and take sufficient time for students to complete their reproducibles. In 90- to 120-minute blocks, you can also conduct one of the four Classroom Challenges (laboratory experiments, projects, and demonstrations) included herein. First comes a challenge: Build an object to perform a specific task. Then the teams swing into action, struggling to beat the clock. They revise their plans as necessary. Throughout the show, an expert gives opinions and evaluations of projects. The hosts make diagrams to describe engineering principles behind each team’s efforts. You may start some Classroom Challenges before or after you show the videos in class. You will want to assign the more substantial challenges after watching the videos. Using the Videos Each of the enclosed two videos (about 45 minutes each) features an episode of Junkyard Wars. On the following page are onscreen discussion questions for students to discuss and answer. These and additional questions for students are on the reproducible pages at the end of this teacher’s guide. It is helpful to keep some classroom lights on while watching a video so students can answer the onscreen discussion questions and make drawings on the reproducible pages. Pause the video when these questions appear. 1 Teacher’s Guide Notes (cont.) Episodes in This Kit Episode I: Jumbo Trucks Episode II: Climbing Car After Segment 1 (5:32) Compare the designs developed by the experts. Sketch and describe each team’s basic design. Look for evidence of teamwork during the video. Are conflicts resolved successfully? Episode challenge: Build a monster truck. Program overview: Big-wheeled trucks race an obstacle-filled course before driving over a row of vehicles. Episode II: Climbing Car Episode challenge: Build a machine that quickly ascends a steep incline. Program overview: A sand rail gets new power and a rebuilt mail truck transforms into an amazing machine. After Segment 2 (19:28) With five hours remaining, which team is further ahead in their construction? How have the teams’ plans changed because of materials or time limitations? Target Grades: 6--12 Curriculum Focus: physics, physical science, auto mechanics, drafting and design Scientific Principles: kinematics, dynamics, power, momentum, gradient After Segment 3 (31:59) In your opinion, which team has the best-built climbing car? Which team has the best overall design? Give evidence to support your answers. Predict which team you think will have the fastest car. Which team do you think will make it farther up the hill? Give reasons for your choice. Onscreen Discussion Questions (Note: Pause the video so students can answer questions on the reproducibles found on pages 14 and 15 in this teacher’s guide. To match the time codes below, set your VCR counter to zero at the beginning of the tape.) Safety Considerations Episode I: Jumbo Trucks After Segment 1 (4:48) A jumbo truck must ride over large bumps, including crushed cars. What materials will the teams search for in the junkyard? Sketch a general design that shows where those parts will be used. Look for evidence of teamwork during the video. Are conflicts resolved successfully? Please do not send your students into junkyards for these or any other projects! Designing and building objects is a great way for students to learn engineering skills and apply science and design principles, but you must give them ways to do this safely. Some options: Provide materials and building time in class (especially for younger students). Allow students to purchase their supplies or use supplies from around the house (with permission, of course) within strict guidelines set up in advance, including types of materials and cost. Encourage parents to teach their children correct use of tools, forbidding all power tool use except while an adult is present. Never use welding torches or chain saws! After Segment 2 (21:54) With three hours remaining, how have the teams’ plans changed because of materials or time limitations? What are the problems you see with each team’s construction so far? After Segment 3 (33:07) In your opinion, which team has the best-built jumbo truck? Which team has the best overall design? Give evidence to support your answers. Predict which team you think will have the fastest truck. Give reasons for your choice. 2 The general rubric titled “Indicators of Student Involvement” is designed to be used for Classroom Challenges #1-3. Realistically, you can evaluate two to four students per lab period. During the course of a quarter, make sure every student is evaluated at least once. But here’s the key: Don’t let the students know who is being observed in any particular lab period. Do not assign projects that use explosives, very large forces, extremely high air pressures, or unprotected sharp objects. Consider all the worst-case scenarios and set your guidelines accordingly. As a general principle, design projects that are based on finesse or accuracy instead of raw power. Assessments For the climbing-car project, feel free to weight the different criteria shown along the left column as you see fit. You may wish to emphasize or de-emphasize the importance of the journals, or replace the journals with formal lab reports or technical drawings. You may also wish to replace the numerical goals for the students (the “surviving” angles) with a more general ranking among the projects in your class that year. Included in this guide are two assessment rubrics: one for the general evaluation of students in laboratory situations and one for the Calculating Gradient project. Make a transparency or copy of the rubrics to share with students ahead of time; they must know the criteria on which they will be evaluated. National Science Education Standards National Council of Teachers of Mathematics The National Council of Teachers of Mathematics (NCTM) has developed national standards to provide guidelines for teaching mathematics. To become a mem ber of the NCTM, or to view the Standards online, go to http://www.nctm.org. This lesson plan addresses the following math standards for grades 9–12: Algebra Standard: Understand patterns, relations, and functions; represent and analyze mathematical situations and structures using algebraic symbols; use mathematical models to represent and understand quantitative relationships; analyze change in various contexts. Measurement Standard: Understand measurable attributes of objects and the units, systems and processes of measurement; apply appropriate techniques, tools, and formulas to determine measurements. The National Science Education Standards, published by the National Academy of Science, provide guidelines for teaching science in grades K–12, as well as a coherent vision of what it means to be scientifically literate. To order the Standards, contact the National Academy Press, 2101 Constitution Ave. NW, Lockbox 285, Washington, DC 20005; http://books.nap.edu. The activities in this teacher’s guide address the following national content standards: Science as Inquiry (grades 5–12) Abilities necessary to do scientific inquiry Understandings about scientific inquiry Physical Science (grades 5–8) Properties and changes of properties in matter Motions and forces Transfer of energy Physical Science (grades 9–12) Structure of atoms Structure and properties of matter Chemical reactions Motions and forces Conservation of energy and increase in disorder Interactions of energy and matter Science and Technology (grades 5–12) Abilities of technological design Understandings about science and technology 3 CLASSROOM CHALLENGES #1: CENTER OF MASS: A BALANCING ACT Background Information Demonstrations: The center of mass of a human varies with body type and position. But when standing, a person’s center of mass typically runs along the center of the body a bit above the navel. On average, men have a higher center of mass than do women. Use the following fun stunts to demonstrate the center of mass. The center of mass of an object is the location of the average of all the mass that makes up the object. Two examples: The center of mass of a billiard ball is at the center of the ball, and the center of mass of a doughnut is in the middle of the hole. Practice with your students estimating the center of mass of a variety of everyday objects in your classroom. 1. Touch your toes. This sounds easy enough: Just touch your toes without bending your knees. Now try to touch your toes while standing with your heels pressed up against a wall. Most people can’t do it. The reason? To keep the center of mass over your feet, you must shift your hips backward as you lean forward. The wall prevents you from shifting your hips back far enough to keep your balance. One way to determine the center of mass definitively is to balance an object. It balances when its center of mass is in line with its supports. So, if you balance a hammer by laying it horizontally on your outstretched finger, you’ll find that its center of mass is closer to the head of the hammer than halfway along its handle. A person can balance on one foot if his or her center of mass is somewhere in a line directly over any point on that foot. It’s easier to balance on two feet because your center of mass can be lined up anywhere in the area between or on your feet, which is a much larger area. 2. Pick up a chair. Another easy thing to do? Try it this way: Stand with your toes against a wall. Step back, toe to heel, so that you’re two foot-lengths from the wall. Have someone put a folding chair between you and the wall. Now bend at the hips so that your head is against the wall and your back is nearly horizontal. Pick up the chair and try to stand up. Many women can easily do this task, while most men cannot for two reasons. First, women tend to have a lower center of mass, so they can shift their hips back far enough that their center of mass plus the chair remains over their feet. They can keep their balance. Having a higher center of mass, most men can’t shift back far enough to keep their balance. Secondly, men usually have bigger feet than women, but that’s not nearly as much fun a reason. 3. Stand on your toes. Again, it sounds easy, but try it when you are standing with your toes against a wall. Most of us can’t shift our weight forward far enough to balance on the smaller toe area. 4 Applications How does center of mass relate to vehicles? One of the dangers of driving is the possibility of a rollover. A dangerous event, a rollover occurs when the center of mass of a car or truck is no longer over the wheelbase. This may happen on an incline or if a vehicle shifts as it turns a corner too fast. In the Climbing Car episode, the distinct danger was that the cars could tip backwards as they travel up a steeper and steeper hill. If the front wheels leave the ground, the center of mass must balance over the very narrow rectangle bounded by the back wheels. Otherwise, the car can tumble down the hill. To keep a car or truck from tipping, a vehicle’s center of mass must always line up over the rectangle formed by the four wheels. The risk of a rollover decreases if that rectangle is very large (larger wheelbase) or if the vehicle’s center of mass is built as low as possible. Do not try these demonstrations at home! Drive safely, and always keep your center of mass over your supports, where it belongs. In the videos, the danger of a vehicle tipping over was very real. In the Jumbo Trucks episode, adding huge tires to the trucks dramatically raised their centers of mass. If a truck started to tilt, because it missed one side of the crushed cars and two wheels were higher than the others, the truck would easily tip over. In the diagrams below, the dots represent the centers of mass. Note that the angle of incline does not have to be very big for the second truck to tip over because its center of mass is so high. Stable Truck Tipping Truck 5 #2: CALCULATING GRADIENT: A MATH MOMENT Background Information In the Climbing Car episode, the hosts talk about calculating the grade of the hill. Mountain roads often have signs warning drivers to use caution because the road has a 6% or 8% grade. Let’s explore this concept in a bit more detail. 4. If a hill has an angle of 28°, how far will you climb if you hike a horizontal distance of 400 feet? Answers: 1. 50 feet 2. 14° 3. 0.077 or 7.7% gradient; 4.4° 4. 213 feet The gradient of a hill is the height increase, or rise, in a given horizontal distance, or run, as shown below. One important use of this concept is in interpreting topographic maps. A “topo” map shows contour lines as irregular rings (see map on following page). Contour lines show areas of identical height or altitude. Reproduce this map and the questions that follow it for your students. If you walk along a contour line, the altitude doesn’t change at all, so the gradient of your path is zero. If you walk along a path perpendicular to the contour lines, you’re traveling along the steepest route, or the one with the highest gradient. height or rise horizontal distance or run So a hill with a 6% (or 0.06) grade has a height change of 6 feet for every 100 feet of horizontal distance traveled. If they’ve had some trigonometry, students should recognize that this is related to the tangent function for right angles. The tangent of the angle in the lower left corner of the triangle above is given by the following: tan = rise run The map’s contour lines indicate altitude differences of 10 meters on a hill. A hiker who wants to travel from the bottom of the hill to the top could take an infinite number of paths, but we’ve marked two on the map. Traveling along line A, the hiker would take the shortest possible path, while Path B is considerably longer. For a hill with a 6% grade, the tangent is 0.06. To find the actual angle of the hill in degrees, use the tan-1 key on a scientific calculator. The angle is about 3.4°. If you know the angle, you can use the tan key to find the gradient. Give these examples to students to try. 1. A mountain biker struggles up a hill with a 25% grade. How much does his elevation increase for every 200 feet he travels horizontally? 2. What is the angle of the hill in the diagram above? 3. An engineer designs a ramp that rises 3 feet along a horizontal distance of 39 feet. Find the gradient and angle of the ramp. 6 6. So, Path B is longer than Path A, especially if you include the curved walk around the base of the hill. But which path would be easier to climb? Briefly explain which path you would choose. Answer: Path B is much easier to climb, so those who prefer a more leisurely stroll would choose B. Those looking for a strenuous hike would choose Path A. Using the topo map, answer the following questions: 1. Measure the length of Path A with a ruler and write its length. (Answer: Assuming length is 1 3/8 inches, or 138 m) 2. Measure the length of the straight part of Path B with a ruler and write its length. (Answer: Assuming length is 3 1/16 inches, or 306 m) 3. Now count how many contour lines are crossed by Path A. (5 contour lines) Write the corresponding height increase. (50 m) 4. How does that compare to Path B? How many contour lines are crossed by this path? (5 contour lines) Write the height increase of Path B. (50 m) 5. To find the gradient of each path, divide the height increase by the length of the path (the straight part, for B). Show your calculation, then calculate the angle for each path. 50 m =of0.362 Gradient Path A Angle of Path -1 (0.362) tan =A 19.9° 50 m =of0.163 Gradient Path B -1 (0.163) Angle of Path tan =B 9.3° 138 m 306 m 7 #3: ENERGY LAB WORK: AN UPHILL BATTLE Background Information Procedure 1. Place a clamp on a ring stand about 2/3 of the distance from the bottom. Hold the board in place, resting against the clamp, at an angle of 20° as shown in the diagram below. Pull the cart up the inclined plane with a spring scale (which must be kept parallel to the plane of the board) at a constant velocity. Record the force required. Measure the distance along the incline from the bottom to the clamp. In this work-energy lab, make sure that students understand that they will keep the height of the top of the hill constant, so that they measure the length (d) of the ramp from tabletop level only up to the clamp, not to the end of the ramp. Students should find an inverse relationship between force and distance (the graph is a hyperbola), and the correct answer to number 3 is therefore that all paths take the same amount of work (within experimental error, of course). Friction increases the amount of force needed for each trial, but not by quite the same amount each time; it is one of the sources of error in this lab. 20° 30° 40° 50° 60° Force (N) Distance It is often surprising to students that all the paths up the hill require the same amount of work and energy. The difference is really in the force, which most people equate with effort, and the path length. (cm) Purpose Investigate the force and distance required to move a car up a ramp. Materials board for inclined plane spring scale meter stick ring stand clamp cart protractor 2. Vary the angle while keeping the final height the same by sliding the board down along the clamp to make angles of 30°, 40°, 50°, and 60°. Record your data in the table above. Analysis 1. Make a graph with distance on the horizontal axis and force on the vertical axis. Sketch a graph, including axis labels, title, and large and small numbers. 2. What relationship do you find between force and distance? 3. Returning to the pre-lab question, which path requires the most work and why? Hint: Calculate the work necessary for each trial in your experiment. Use this equation: Pre-lab question: A hill has three paths up its sides to a flat summit area (D), as seen above. The three path lengths AD, BD, and CD are different, but the vertical height is the same. Not including the energy used to overcome the internal friction of the car, which path requires the most energy (gasoline) for a car driving up it? Explain. work = force x displacement. 4. What role does friction play in this experiment? 8 RUBRIC Classroom Challenges #1-3 Indicators of Student Involvement Categories 0-1 point 2-3 points 4-5 points Intellectual Curiosity and Spirit of Investigation Fills in lab sheet only Asks no questions or irrelevant questions; answers no questions Not involved with lab Does not complete experiment Makes effort to understand the lab Asks and answers clarifying questions about the lab Mostly involved Completes lab as directed Passive participation Strives for complete understanding Asks and answers probing questions that extend understanding Full, active participation Goes beyond intended activity Personal Responsibility Tardy or significant time wasted Careless with equipment or does not handle equipment at all Does not follow safety procedures Cleans up insufficiently Unprepared for lab activity Time wasted or does not complete lab Some carelessness or risky procedures Cleans up partially Makes good or excellent use of time Uses lab equipment and facilities responsibly Cleans up completely Prepared for class, has needed materials for activity Group Dynamics and Interaction Does not contribute to group Minimal or negative interactions Creates or encourages unrelated activities or discussions Some contribution to group understanding Mostly receptive to ideas and opinions of others Creates some distractions Contributes to group understanding through questions or explanations Makes sure everyone in group understands Receptive to ideas and opinions of others Makes effort to reduce group distractions 9 #4: THE CLIMBING CAR Background Information Objective Design and build a Lego car that can ascend the steepest slope possible. For this engineering-design project, ask students for donations of Lego parts (for extra credit, if you’d like). It’s amazing how much they have of their childhood toys. Or you can try to collect materials from garage sales, ask toy-store managers for donations, or write a small grant to purchase the materials initially. Fortunately, they can be reused many times. Rules The board your car must ascend starts out at a shallow slope and gradually increases the slope. This continues until your vehicle fails in some way (stops moving or tips over). In making a board with an incrementally increasing angle, you can use wood or cardboard with flexible pieces like poster board between the different angle sections. Or you could make the whole thing out of a curved piece of flexible plastic for a constantly increasing angle. You may not do anything that changes or damages the board, including using anything on your wheels that would mar or leave residue on the board, such as nails, glue, sticky notes, or tape. Different types of Lego motors are available. You may use up to two motors in your vehicle. Because the motors are a shared resource, make them easy to attach and remove from your vehicle. You may not interact with the top of the board (grappling hook or similar tool) or the outside world (walls or sprinkler pipes). Your vehicle may interact with the edge of the board. Your teacher will make exceptions on a case-bycase basis. 10 Design Issues Here are some items you should consider, design, and calculate: What are the different ways your vehicle could fail— that is, stop climbing the slope? (Tip over, stall the motor—not enough torque—or slide back down the hill.) How can you prevent each of these? Be specific. What does this tell you about how you design the car? (Where the mass is, whether you want big or small wheels, how many gears to use, etc.) Do you want to use the plain motors or the gear motors (the funny-shaped ones)? Why? Which wheels do you want to use? Why? Are there other ways to increase and decrease quantities you care about (friction, normal force, mass, wheel radius, gear ratio, etc.)? Which of these actually makes a difference? Presentation Keep a log of your design ideas, your physics research and testing, and the results of the modifications to your vehicle. You’ll present your vehicle and demonstrate it in class, and explain briefly how you optimized it. (Adapted from Eric Smith, Ben Davis, and Alexis Cavic of the Massachusetts Institute of Technology, who originally developed this project) 11 EVALUAT I O N RUBRIC Calculating Gradient: A Math Moment Categories 0-1 point 2-3 points 4-5 points 0 to 20° 20 to 35° More than 35° Does not move or moves backward or sideways Moves forward, but slowly or with significant curvature Moves forward swiftly and climbs with relative ease Plan provides clear measurements and labeling for most components. Drawing is clear, though scale may be slightly inaccurate. Plan is neat, with clear measurements; labeling and scale are correct for all components. Construction appears careless or haphazard. Many details need refinement for an efficient or attractive car. Fairly careful construction and accurately followed plans, but 2-3 details need refinement for an attractive and efficient product. Great care taken in construction; the car is neat, attractive, and follows plans accurately. Scientific Knowledge Explanations by the majority of group members do not illustrate much understanding of the scientific principles applied in the car’s design and construction. Explanations by the majority of group members illustrate mostly accurate understanding of the scientific principles applied in the car’s design and construction. Explanations by all the group members illustrate clear and complete understanding of the scientific principles applied in the car’s design and construction. Individual Journal Journal provides very little detail about the process of planning, constructing, and testing the car. Does not reflect group dynamics and division of labor. Journal provides much detail about the process of planning, constructing, and testing the car, and provides some reflection on group dynamics and division of labor. Journal provides a complete record about the process of planning, constructing, and testing the car, including reflection on strategies and reasons for modifications and innovations. Clearly discusses group dynamics and division of labor. Few entries made; they are not dated or are too messy to read. Several entries made; most are dated and legible. Several entries made; all are dated and legible. Function (Quantitative) Function (Motion) Plan and Technical Plan shows inaccurate measurements, is not Drawing to scale, or is drawn or labeled inaccurately. Construction (Content) Individual Journal (Appearance) 12 WEB SITES http://www.nrel.gov/education/student/natjss.html (This site has information about making model solar cars, including rules for participation in the National Junior Solar Sprint competition. Budget permitting for solar cells, this activity is highly recommended for your middle or high school classes.) Teach e rs and students may find the following Web sites i n fo rm ative while wo rking on the Classroom Challenge s . http://www.howstuffworks.com (This Web site has hundreds of articles about how things work, including all car parts. Look under the “transportation” category, then “automotive.”) http://www.tnris.state.tx.us/K-12/topolesson.html (A great source for free topographic maps to use in the activity on calculating gradient.) http://www.pitsco.com (This company sells dragster and other car kits at reasonable prices.) http://www.nas.nasa.gov/About/Education/Racecar/ (A great site to learn about aerodynamics in race car design) To see Junkyard Wars on DiscoverySchool.com, visit the Web site below. http://school.discovery.com/networks/junkyardwars (Interactive games and puzzles; ideas for challenges, projects, and activities; and other teacher resources support the Junkyard Wars Classroom Video Kits.) http://www.highwaysafety.org/ (In the interest of getting students to drive safely—unlike some of the drivers in the Junkyard Wars episodes—this site shows the results of crash tests, including pictures and ratings.) 13 Episode I: Jumbo Trucks Name___________________ After Segment 1 A jumbo truck must be able to go over large bumps, including crushed cars. What materials will the teams search for in the junkyard? Sketch a general design that shows where those materials will be used. Look for evidence of teamwork during the video. Are conflicts resolved successfully? The teams choose special tires for their trucks. What are the pros and cons for each type of tire? There is concern about the skinny tires used by the Ghost Mountain Riders; how do the dual tires help to correct the situation? Law Dawgs Ghost Mountain Riders What is the purpose of the truck’s suspension? How do the teams differ in designing their suspension? After Segment 2 With three hours remaining, how have the teams’ plans changed because of materials or time limitations? What are the problems you see with each team’s construction so far? Continue to record instances where you see team members resolving conflicts or supporting each other’s work. The hosts analyze the teams and their interactions, as well as their construction. Do you agree with their descriptions? Give examples. After Segment 3 In your opinion, which team has the best-built jumbo truck? Which team has the best overall design? Give evidence to support your answers. Predict which team will have the fastest truck. Give reasons for your choice. Pay attention to the trucks as they move over the crushed cars; watch for the importance of the professional driver’s pointers. Record the times for each race, and circle the winning time below. Race Law Dawgs Ghost Mountain Riders 1 2 3 Average Calculate the average time for each team. If average times had been used, would the winner be the same? 14 Episode II: Climbing Car Name___________________ After Segment 1 Compare the designs the experts developed. Sketch and describe each team’s basic design. Look for evidence of teamwork during the video. Are conflicts resolved successfully? How does each team try to manage the power-to-weight ratio for their climbing car? After Segment 2 With five hours remaining, which team is further ahead in their construction? How have the teams’ plans changed because of materials or time limitations? Continue to record instances where you see team members resolving conflicts or exhibiting good communication among themselves. Why does the Pit Crew choose twin tires? What are the advantages of using them? How do the teams make sure the driver is safe? Describe or sketch the designs chosen. After Segment 3 In your opinion, which team has the best-built climbing car? Which team has the best overall design? Give evidence to support your answers. Predict which team you think will have the fastest car. Which team do you think will make it farther up the hill? Give reasons for your choice. The judge expresses concerns about each team’s vehicle. List some of his comments in the table below, then see if his predictions become reality during the testing phase. Pit Crew Jet Jocks Concerns and Predictions Testing Results Describe in sentences the results for each team. What changes or repairs did each team have to make? 15
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