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Driving SCIENCE STEM Activity Race Flag Design Ratios and Proportional Reasoning

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Why do motorsport events use flags? What do you think the displayed flags mean? What other organizations use flags? Engage

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Steps 1 2 3 4 5 6 Investigate Represent a 6 cm by 6 cm checkered flag on grid paper. Number the steps. Think, Pair, Share What patterns can be seen in the flag design?

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Represent the flag data in a table on the grid paper. Think, Pair, Share What patterns can be seen in the table? Step123456789 Perimeter (cm) 48 12 16 20 24 28 32 36

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Make a prediction. Will the line be straight? Will the line go through the origin? 1 2 3 4 5 6 7 8 9 36 32 28 24 20 16 12 8 4 0 Draw the grid on your centimeter paper and represent the table data on the coordinate grid.

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Tests to determine whether two quantities are in a proportional relationship: 1.Test for equivalent ratios in a table. 2.Test whether the graph is a straight line through the origin. Are perimeters of the squares in the checkered flag in a proportional relationship? Are areas of the squares in the checkered flag in a proportional relationship? 1.Represent the area data in a table. 2.Represent the area data in a graph. (Use intervals of 10 on the y- axis. 3.In writing, use mathematical reasoning to explain whether the data are in a proportional relationship.

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What did you write about whether the area data have a proportional relationship? What mathematical reasoning did you hear from others? Reflect

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Working in a group, test the following data for proportional reasoning using a table and a graph: (1, 3) (2, 6) (3, 9). Working independently, test the following data for proportional reasoning using a table and a graph: (1, 3) (2, 6) (3, 9). Explain in writing whether the quantities have a proportional relationship. Working independently, Test the following data for proportional reasoning using a table and a graph (y-axis = intervals of 2): (1, 1) (2, 3) (3, 5). Explain in writing whether the quantities have a proportional relationship. Working in a group, design a flag with a proportional relationship. Show the relationship in a table and graph. Working in pairs, design a flag with a proportional relationship. Show the relationship in a table and graph. Working in pairs, design a flag with two proportional relationships. Show the relationships in tables and graphs. Apply

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For more information about racing flags visit: Flags Used in Auto Racing NASCAR Flags Thanks to our partners who sponsored the development of this activity: DuPont CU-ICAR EcoPower Safety-Kleen Daytona International Speedway United States Conference of Mayors Copyright © 2013 Clemson University, Clemson, South Carolina (SC).

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