Cotton Ball Catapult Dawn Buchan 1. Title of the Lesson: Cotton Ball Catapult 2. NJ Core Curriculum Content Standards addressed in the lesson. 5.1.12.B.2 (Mathematical tools and technology are used to gather, analyze, and communicate results): Build, refine, and represent evidence-based models using mathematical, physical, and computational tools. 5.1.12.C.1 (Refinement of understandings, explanations, and models occurs as new evidence is incorporated): Reflect on and revise understandings as new evidence emerges. 5.1.12.D.1 (Science involves practicing productive social interactions with peers, such as partner talk, whole-group discussions, and small-group work): Engage in multiple forms of discussion in order to process, make sense of, and learn from others' ideas, observations, and experiences. 5.1.12.D.2 (Science involves using language, both oral and written, as a tool for making thinking public): Represent ideas using literal representations, such as graphs, tables, journals, concept maps, and diagrams. 5.2.C (Forms of Energy): Knowing the characteristics of familiar forms of energy, including potential and kinetic energy, is useful in coming to the understanding that, for the most part, the natural world can be explained and is predictable. 5.2.D (Energy Transfer and Conservation): The conservation of energy can be demonstrated by keeping track of familiar forms of energy as they are transferred from one object to another. 5.2.12.D.1 (The potential energy of an object on Earth's surface is increased when the object's position is changed from one closer to Earth's surface to one farther from Earth's surface.): Model the relationship between the height of an object and its potential energy. 5.2.E (Forces and Motion): It takes energy to change the motion of objects. The energy change is understood in terms of forces. 5.2.12.E.1 (The motion of an object can be described by its position and velocity as functions of time and by its average speed and average acceleration during intervals of time.): Compare the calculated and measured speed, average speed, and acceleration of an object in motion, and account for differences that may exist between calculated and measured values. 5.2.12.E.3 (The motion of an object changes only when a net force is applied.): Create simple models to demonstrate the benefits of seat belts using Newton's first law of motion. 5.2.12.E.4 (The magnitude of acceleration of an object depends directly on the strength of the net force, and inversely on the mass of the object. This relationship (a=Fnet/m) is independent of the nature of the force.): Measure and describe the relationship between the force acting on an object and the resulting acceleration. 3. Identify Resources needed. a. Teacher Use: Meter stick/ tape measure, cotton balls Page 1 of 6 b. Student Use: Popsicle sticks, rubber bands, plastic spoons, cardboard cereal boxes, tape, scissors 4. Describe what students should know before they start the lesson. Students should be able to work cooperatively in small groups. They should listen to and have respect for others' ideas. Students should understand the steps involved in the engineering design process. This lesson would be part of the unit on work and energy. Students should understand how energy is transformed between various forms (potential, kinetic). 5. State the objectives of the lesson. Students will increase their ability to work cooperatively to solve a problem. Students will learn how to use a systematic approach to solving a problem. Students will learn about elastic potential energy and how it relates to catapult design. Students will learn about air resistance and how it relates to the flight of the cotton ball. Students will learn how to use the engineering design process to solve a problem. Students will learn that engineering involves using their ideas and knowledge to solve real-world problems. Students will learn about how to balance the cost of materials with the benefits they provide. Students will learn about civil engineering (building structures such as catapults, theoretically), but also that other engineers are responsible for developing stronger, cheaper, or more environmentally friendly construction materials. Students will learn how the work done by engineers affects society for the better. While modern day engineers don't usually make catapults, they do make toys or other military equipment that functions similarly. Students will apply their knowledge of physics to solve a real world problem. 6. Identify important ideas in terms the subject area - describe in detail. Real life connections (make a list). The engineering problem-solving strategy (which mimics the ISLE cycle for experimentation) involves devising a series of possibilities that are tested and revised. The eight steps of the engineering design process are: identify the need or problem, research the need or problem, develop possible solutions, select the best possible solution, draw a prototype, test & evaluate, communicate the solution, and redesign. The engineering design process includes constructing a physical prototype: starting with plans and ideas, using materials to build the physical model. This prototype can then be tested, and the results applied to redesign and improve. This lesson will involve numerous iterations of the engineering design process. Elastic potential energy: Hooke's Law applies to ideal springs, Elastic potential energy U= ½ kx2. The plastic spoon or rubber band probably doesn't follow Hooke's Law, but the concept is still true that more elastic potential energy is stored in the spoon-cotton ball system when the spoon is bent further from its equilibrium position. Page 2 of 6 Projectile motion: With the assumption that air resistance is negligible, the ideal launch angle for a projectile is 45 degrees from horizontal in order to have the projectile travel the maximum distance. Air resistance: When a projectile is small and has a hard, aerodynamic surface, air resistance can often be assumed to be negligible. However the cotton ball is very large and fluffy relative to its mass, so it has relatively large air resistance. Thus students' predictions of ideal launch angle from concepts of projectile motion (see above) are not valid. Torque: When the cotton ball is being launched (spoon or rubber band pulled back), a backward-directed force is exerted on the catapult which results in an applied torque. If the catapult doesn't have a rear brace, there will be no object exerting a force that provides an opposite-direction torque and the catapult will fall over. In order for the catapult to be stable, both the sum of the forces exerted on it and the sum of the torques exerted on it must be equal to zero. 7. Describe potential difficulties students may experience with the content. Describe all formative assessments that you plan to use and how you will provide feedback. Students may have difficulty working cooperatively. One group member may dominate, especially boys in mixed gender groups. Students may have difficulty applying the engineering design process, rather than just employing a trial and error strategy. I will remind the students to plan ahead. Also, I can present the problem but not make the materials available for the first five minutes, which will force students to plan (steps 2-5) before building their prototype. I will monitor the groups, and make sure to engage group members whose opinions don't appear to be being listened to. This will demonstrate to the dominating group members that the others' ideas are to be valued. This also will ensure that all group members are contributing equally, and that all group members understand the successes and failures of their prototypes. I will ask groups what problems they are having, or what is standing in the way of their meeting their goals, to engage them in a discussion about the possible strategies they could employ to solve their problems, rather than just using trial and error. Students may need to be prompted to systematically change one aspect of their design at a time to solve the problem. I will ask students what assumptions they made in their initial plan that turned out to not be valid, and how they have revised their assumptions. In this lesson, many assumptions (air resistance being negligible is one) are definitely NOT valid. I would ask students how the performance of the catapult might be different if they had a ping pong ball instead of a cotton ball. If a group adopts a new approach, I will ask them to explain what they changed and the reason for the change. In addition, I will try to get them thinking about the physics explanation for the failure of their prior prototype. 8. Provide a description of the lesson including an agenda for the lesson. See handout attached at end of lesson plan Page 3 of 6 9. Time Table – who is going to be doing what and when during the lesson to make sure that students are actively engaged. Clock reading “Title of the Students doing Me doing during the lesson activity” 0 – 3 minutes Introduction Listening Talking 3 – 10 minutes Planning Planning, brainstorming, Listening, monitoring discussing ideas student group work 10 - 40 minutes Construction, Constructing the prototype Monitoring student work Testing, catapult, testing, Redesign redesigning 40 – 50 minutes Testing Final testing of catapults Supervising testing procedure 50 – 60 minutes Reflection Talking Listening, summarizing 10. Describe the homework you will assign. What guidance will you provide the students? The homework will be for students to assess the strengths and weaknesses of their own design, and also that of at least one other group, and make at least one suggestion for a modification they could make that would meet a different need/ solve a different problem. This engages the students in the engineering design process. Discuss the homework the next day so students can learn from the ideas of others. Students will be instructed to think about how real world engineers apply the engineering design process to the construction of equipment (not necessarily just catapults), and which types of engineers might work together on the project. 11. Teacher's Guide Make sure students are divided into effective groups. Group together students with differing strengths. Make sure all group members are actively participating. Make sure students follow the engineering design process and plan before building. Ensure that you are familiar with the materials and their benefits/ pitfalls. With the homework, make sure students think about how many different types of engineers might try to improve the catapult. Materials cost? More environmentally friendly materials? Performance (distance) enhancement? And so on. Make sure a whole class discussion of the homework assignment is included in a subsequent class period. Page 4 of 6 Cotton Ball Catapult Goal: Design and build a catapult that meets the design criteria below. Design Criteria: The catapult must be free-standing. The catapult must be able to launch a cotton ball at least 30”. Only materials listed below may be used. Testing Criteria: You will use your catapult to launch a cotton ball three times and measure the distance each cotton ball travels. The cotton ball must travel at least 30” on at least one of the trials. Challenges: Maximize the average distance that the cotton ball travels. Maximize the distance-to-cost ratio (the average distance that the cotton ball travels in inches divided by the cost of your catapult in $). Available materials and cost: Material Quantity Used Cost per piece Popsicle stick $0.10 Plastic spoon $1.00 Rubber band $0.25 Cardboard cereal box $1.00 Tape $0.25 per foot TOTAL COST: Cotton Ball launch distance (inches): Trial 1: __________ Trial 2: __________ Trial 3: __________ Average distance: __________ Random uncertainty of cotton ball launch distance: __________ Calculation of Distance-to-Cost Ratio: Average Distance Traveled : ____________ Total cost: Page 5 of 6 = _________________ Total (Quantity * Amount) Be sure to follow the Engineering Design Process and document your work. Notice that there is plenty of space in the table for you to redesign after testing the prototype! Step Number Comments and Observations 1: Identify the need or problem 2: Research the need or problem Initial Design 3: Develop possible solutions 4: Select the best possible solution 5: Draw a prototype 6: Test and evaluate 7: Communicate the solution 8: Redesign Page 6 of 6 Version 2 Version 3 Version 4 Version 5