Rolling Marbles When given different marbles, your challenge is to predict and test your hypothesis for which marble will roll the farthest or fastest. First, you’ll need to identify the variables and decide how to control them. Your tech team will use materials found in the room to build a ramp for the marbles to run on. You will also have measuring devices for time, weight and distance. In your write-up, you will state your hypothesis, describe your process, collect and display data for trials you conduct and describe the results of your tests. Rolling Marbles Copyright 2007, Exemplars, Inc. All rights reserved. 1 of 15 Rolling Marbles Suggested Grade Span 6–8 Task When given different marbles, your challenge is to predict and test your hypothesis for which marble will roll the farthest or fastest. First, you’ll need to identify the variables and decide how to control them. Your tech team will use materials found in the room to build a ramp for the marbles to run on. You will also have measuring devices for time, weight and distance. In your write-up, you will state your hypothesis, describe your process, collect and display data for trials you conduct and describe the results of your tests. Big Ideas and Unifying Concepts Cause and effect Design Physical Science Concepts Motion and forces Properties of matter Transfer and transformation of energy Design Technology Concept Design constraints and advantages Mathematics Concepts Data representation Measurement Time Required for the Task One 60-minute class session. Context Throughout the year, I have put students into tech teams to work on design challenges. Before completing this challenge, students have had experiences making predictions and controlling Rolling Marbles Copyright 2007, Exemplars, Inc. All rights reserved. 2 of 15 variables for fair tests. In this series of design technology tasks, students are assessed on their ability to design a process that tests their prediction, to collect and display data, to understand science and design concepts and work together as a team. What the Task Accomplishes This design challenge enables students to apply prior knowledge in designing investigations, conducting fair tests and controlling simple variables. They also practice a number of science skills, such as predicting, testing ideas, using materials, collecting precise data and drawing conclusions based on their observations and test results. Students communicate their ideas to the class and continue to build on learnings as they expand their conceptual understanding of gravity, friction, kinetic and potential energy, inertia, the effects of weight and mass on motion, and Newton’s Laws. How the Student Will Investigate Students formed teams and were given the design challenge, along with any materials they needed. They began by measuring the weight of each ball (marbles) and making their predictions. Ramps were built in the gym so that we would have plenty of room for the marbles to roll once they left the ramps. As trials were conducted, one student released the marbles and the other timed and/or measured distances. Data were recorded for each of the trials. Students were expected to conduct more than one trial to verify results. Students used stopwatches to time trials, measuring tapes for distances, scales for weighing marbles, and calculators to average distances. Each individual student completed a graph with data and a write-up. Interdisciplinary Links and Extensions Science/Mathematics/Design Technology There are numerous design challenges, which students can engage in throughout the school year, that integrate science, mathematics and design technology. While rolling marbles may seem like a simple task, it leads to a variety of related fair tests that use other sizes and kinds of marbles and objects that roll. Students can use their data to calculate distance using the formula d = r x t. Students can record times at different distances along the way (every five feet, for example) and plot results to see acceleration and deceleration patterns or to calculate speeds. Teaching Tips and Guiding Questions Students may need some help planning how to control variables, conduct a fair test or collect data. To get them started, have them plan what tasks need to be done and who will do them. (e.g. who will release the ball). Consider asking these questions to guide thinking: • What do you think will happen? • What have you observed or tested before that helped you make this prediction? Rolling Marbles Copyright 2007, Exemplars, Inc. All rights reserved. 3 of 15 • • • • • • • • • • • What needs to be controlled (release of ball, height of ramp, procedure for timing, etc.)? What will you need to measure (weight of balls, distance traveled, time traveled)? What tools will you need? As you test, are you timing AND observing the motion of the marbles? Do they move in the same way? Do you notice any patterns in your results? Can you support your conclusion using evidence from your results? What new ideas do you now have about motion? Mass? Did anything surprise you? Do you have a new question to test? Did you conduct enough trials to verify results? Could others repeat what you did and get the same results? Have you used any science or mathematics terms to describe what was observed or learned (gravity, friction, kinetic and potential energy, inertia, motion)? How did you work as an individual? How did your team work? Concepts to be Assessed (Unifying concepts/big ideas and science concepts to be assessed using the Science Exemplars Rubric under the criterion: Science Concepts and Related Content) Physical Science – Properties of Matter: Students observe and compare physical properties of matter; an unbalanced force acting on an object changes its speed or path of motion or both. Design Technology – Constraints and Advantages: Students observe that some materials are better than others, depending on the task and characteristics of the materials. Physical Science – Motion and Forces; Transfer and Transformation of Energy: Students demonstrate understanding of the concepts of kinetic energy, gravity, friction, potential energy, motion, inertia, etc., and describe cause-effect relationships with some justification, using data and prior knowledge. Scientific Method: Students observe and explain reactions when variables are controlled (cause and effect). Mathematics: Students use data representation and analysis. Students identify trends and patterns, graph numerical data and use (precise) measurements. Skills To Be Developed (Science process skills to be assessed using the Science Exemplars Rubric under the criteria: Scientific Procedures and Reasoning Strategies, and Scientific Communication Using Data) Scientific Method: Predicting, observing, controlling variables, testing ideas, measuring, using tools, collecting and representing data, drawing conclusions based upon results and communicating what was learned. Rolling Marbles Copyright 2007, Exemplars, Inc. All rights reserved. 4 of 15 Other Science Standards and Concepts Addressed Scientific Method: Students describe, predict, investigate and explain phenomena. Students control variables. Scientific Theory: Students look for evidence that explains why things happen and modify explanations when new observations are made. Physical Science – Properties of Matter: Students describe and sort objects and materials according to observations of similarities and differences of physical properties. Physical Science – Motion and Forces; Transfer and Transformation of Energy: Students observe and record the effect of materials and combinations of materials at rest and in motion. Students observe that forces (such as gravity) can act “at a distance” and can cause objects to be pushed or pulled. Students understand that energy is a property of many substances, including mechanical motion, and can be transferred in many ways. The Designed World: Students observe that tools extend the ability of people (to make things, to move things, to shape materials) and that manufacturing requires a series of steps and, depending on the task, careful choice of materials (based on their characteristics). Mathematics: Students use data representation and data analysis; identify trends and patterns; use tables and graphs to show how values of one variable are related (increase, decrease, etc.) to values of another; and use numerical data and (precise) measurements in describing events, answering questions, providing evidence for scientific explanations, and challenging misconceptions. Suggested Materials For this challenge, students were provided with materials such as: tape, oaktag, cardboard, clay, books, small boards, stopwatches, scales, measuring tapes and calculators. Students used graph paper for their data. Possible Solutions Each solution should show some evidence of identifying variables and controlling them. Ramp height, as well as the release for each ball, should remain constant. Measuring devices should be used for time, weight and distance. The write-up should include the following: hypothesis, process, graphic display of data, and results of the tests. Data should be presented in an organized, labeled graph. Conclusions should be supported by data. The heaviest marble should travel the farthest in most cases. Related science terms (friction, inertia, gravity, kinetic and potential energy, etc.) may be used. Rolling Marbles Copyright 2007, Exemplars, Inc. All rights reserved. 5 of 15 Task-Specific Assessment Notes Novice This student’s solution is incomplete and lacking in detail. No explanation is included, therefore there is no evidence of identifying variables and controlling them, no hypothesis, and no measurement of time or weight. There is a graphic display of data, and three trials are conducted. Data are organized, but the y-axis is not labeled. There are no conclusions and no mention of the discrepancies in the trials (especially for the “big one”). Apprentice This student’s solution is lacking in detail, although the task is completed. The steps followed to test the hypothesis are vague and and confusing (e.g., on page one the student says that they will see how far the marble went, but on the second page and graph they show speed). It is not clear how speed was calculated. Three trails are conducted and recorded, but data for only one trial are presented, in a partially labeled graph. There is an attempt to use science terms (inertia, mass), but there is minimal evidence of understanding what they mean. Conclusions are stated and refer to, but do not explain the data. Note: With more explicit explanations, this would score at a higher level. Practitioner This student’s solution is complete. The hypothesis is stated and steps are listed. There is evidence about how the student considered variables. Data are presented in an organized, labeled graph. Conclusions are supported by data. Expert This student’s solution is complete and detailed. The hypothesis and procedures are clearly stated. There is clear evidence about how the student collected data, used tools and made calculations. Conclusions are supported by data and a question is raised through analysis of data, showing evidence of conceptual understanding. Rolling Marbles Copyright 2007, Exemplars, Inc. All rights reserved. 6 of 15 Novice Rolling Marbles Copyright 2007, Exemplars, Inc. All rights reserved. 7 of 15 Apprentice Rolling Marbles Copyright 2007, Exemplars, Inc. All rights reserved. 8 of 15 Apprentice Rolling Marbles Copyright 2007, Exemplars, Inc. All rights reserved. 9 of 15 Apprentice Rolling Marbles Copyright 2007, Exemplars, Inc. All rights reserved. 10 of 15 Practitioner Rolling Marbles Copyright 2007, Exemplars, Inc. All rights reserved. 11 of 15 Practitioner Rolling Marbles Copyright 2007, Exemplars, Inc. All rights reserved. 12 of 15 Expert Rolling Marbles Copyright 2007, Exemplars, Inc. All rights reserved. 13 of 15 Expert Rolling Marbles Copyright 2007, Exemplars, Inc. All rights reserved. 14 of 15 Expert Rolling Marbles Copyright 2007, Exemplars, Inc. All rights reserved. 15 of 15
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