Gum Drop Bridge Spero Gum Drop Bridge (1 period, Honors) NJ Core Curriculum Standards CCS Number 5.1.12.A.2 Topic 5.1 – Science Practices A – Understand Scientific Explanations 5.1.12.B.2 5.1 – Science Practices B – Generate Scientific Evidence Through Active Investigations 5.1.12.B.3 5.1 – Science Practices B – Generate Scientific Evidence Through Active Investigations Empirical evidence is used to construct and defend arguments. 5.1.12.D.1 5.1 – Science Practices D – Participate Productively in Science 5.1.12.D.2 5.1 – Science Practices D – Participate Productively in Science Science involves practicing productive social interactions with peers, such as partner talk, whole-group discussions, and small-group work. Science involves using language, both oral and written, as a tool for making thinking public. 8.2.12.B.1 8.2 – Technology Engineering, Education, and Design B - Design: Critical Thinking, Problem Solving, and Decision-Making 8.2.12.C.3 8.2 – Technology Engineering, Education, and Design C – Technological Citizenship, Ethics, and Society Page 1 Description Interpretation and manipulation of evidencebased models are used to build and critique arguments/explanations. Mathematical tools and technology are used to gather, analyze, and communicate results. Design and create a product that maximizes conservation and sustainability of a scarce resource, using the design process and entrepreneurial skills throughout the design process. Evaluate the positive and negative impacts in a design by providing a digital overview of a chosen product and suggest potential modifications to address the negative impacts. 8.2.12.E.1 8.2 – Technology Engineering, Education, and Design E – Communication ad Collaboration What Students Should Know Kinematics Dynamics Energy Momentum Rotational Dynamics o Center of mass o Torque o Static Equilibrium ISLE The Engineering Design Process Use the design process to devise a technological product or system that addresses a global issue, and provide documentation through drawings, data, and materials, taking the relevant cultural perspectives into account throughout the design and development process. Gum Drop Bridge Spero Goals of the Lesson Conceptual What kinds of physics that you know of are involved in making a bridge? Quantitative Be able to approximate the center of mass of your bridge. How do you evaluate resource needs of a device? Be able to evaluate tensile strength of bridge based on break-weight. How must bridge pieces be arranged to gain maximum strength for least material? What kinds of engineering disciplines are involved in making a real bridge? Be able to calculate efficiency based on mass of bridge versus mass of hanging objects. Be able to use static equilibrium situations to calculate for the mass of an object. What kind of functionality must a real bridge have that we are neglecting? Procedural Be able to use the Engineering Design Process to direct assembly, testing, and revising design. Be able to work with materials given (be able to measure physical quantities using a meter stick or other tools). Be able to work effectively with others. Implementing ISLE for application experiments. Implementing the Engineering Design Process for cyclic design-redesign. Be able to plan ahead before construction. Epistemological How do you know that the center of mass of your bridge is measurable? How can I improve my design and make my device functional and economical in materials and/or energy use? How can I figure out what types of physics are needed to make quantitative predictions? In what ways does the Engineering Design Process contribute to learning? Important Details/Connections Physics Content Rotational Dynamics Newton’s Laws Torque (rotational Newton’s Laws) Center of Mass Static equilibrium Young’s Modulus Real Life Connections Designing and redesigning something based on feedback Bridges you drive/walk across Page 3 Defining material needs and uses Potential Student Difficulties Calculating anything based on torque Being able to come up with a method of finding the center of mass Making sure gum drops do not crack open for too many toothpicks Coming up with one plan in a large group (~5-6) Resources Environment Large work tables for groups of 5-6 students Movable tables for a 12 inch gap for bridges to span Equipment Bags of gum drops, boxes of toothpicks Paper clips Styrofoam cups (or other small equivalent) Pennies Rulers Lesson Description Today, as you can see from the bags up here, we are going to be working with gum drops. I made sure to buy the extra disgusting ones so you won’t be tempted to eat your work. I also have toothpicks for you to use in making your own gum drop bridge. The goal is to make a bridge approximately 18 inches long that will span a 12-inch gap. You want your bridge to be as strong as possible. How well you do will depend on your “strength index”. This will be an index of the mass of your bridge and the mass of the amount of pennies it can hold before starting to break. You want to use the least material to support the most weight. You will have most of the class to work on the bridge, but expect to be finished with at least 10 minutes left to test the strength of the bridge as well as measure the center of mass of the bridge (which you will need to figure out how to do yourselves). For homework check the website. Make sure you fill out the sheet with your pennies held, mass of your bridge, and center of mass. (Make sure you keep the center of mass value for yourself for homework.) Gum Drop Bridge Spero Time Table Clock Reading During Lesson Period 1 0-5 minutes Title of Activity – Connection to Goals Goals and viewing materials 5-30 minutes Gum Drop Bridge 30-40 minutes CM measurement & Strength Testing 40-45 minutes Cleaning Up Students Doing Teacher Doing Listening to teacher, going up to see materials available. Planning and building bridge. Filling in Engineering Design Process. Coming up with a way to measure center of mass. Measuring center of mass and testing strength of bridge. Giving goals for the day, handing around materials. Helping students building the bridges. Making sure students come up with a way to measure center of mass of their bridge. Helping students set up bridge on tables and giving them pennies and cups. Cleaning Up Cleaning Up Formative Assessments Do students know how to measure the center of mass of an object using rotational dynamics understating? Can students work cooperatively in order to come up with a design and then build it such that the bridge is completed within the time limit? Strength index of bridge. Homework Homework With center of mass value, mass of your bridge, and knowing how much mass it takes to break your bridge. Come up with a problem that a student in class could solve (quantitative) that uses this information. Then solve it. Be sure to include any diagrams or pictures needed to understanding the problem. Read the section in the book on stress (Young’s Modulus) and estimate it’s value for your bridge (what assumptions do you need to make?). In the future we will be working with bridges like this again. If you could revise how you made the bridge, what would you change? Why? How would this improve your strength index? In your new design, list some features that a real bridge has that yours did not. It is possible to add some of these features? Page 5