using real world data in math
DESCRIPTION
Using real world data in math. Sara Turnbull Andy Albee. A little story. August 1, 2007 – Twins Vs. Kansas City Royals I picked up my wife Laura at 5:20 35W is packed due to construction on the bridge. HW 65 over the river and 2 nd St. to Dinkytown Eat at the Quarry - PowerPoint PPT PresentationTRANSCRIPT
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Using real world data in math
Sara TurnbullAndy Albee
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A little story
• August 1, 2007 – Twins Vs. Kansas City Royals• I picked up my wife Laura at 5:20• 35W is packed due to construction on the
bridge.• HW 65 over the river and 2nd St. to Dinkytown• Eat at the Quarry • 35W still packed at 6:20 pm• Back to the game via HW65
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Pictures of 2nd St. at 6:30
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I drove here at 5:30
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Today we will build and test bridges
• We will set up with materials and instructions• Each group will make two bridges and test
them (three if we have time).• In a regular class, we would do more bridges• We will analyze the data • Introduce averages and graphing• Introduce interpolation and extrapolation.
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Materials
Each group should have:• 6 sheets of 4x11 inch paper• 50 pennies• 1 dixie cup• 2 video tapes• 1 record sheet
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Plan for our experiment
• When engineers are planning to build something, they need to test the materials they will use to know the abilities of the material.
• Today we will test the strength of different thicknesses of paper bridges.
• We could also test span length, different materials, shapes, or other properties.
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Set up for bridge 1
• Set the video tapes on edge to form a span approximately 9 inches apart.
• Fold the right and left edges of the paper to the middle, forming a U shape two inches wide, one inch tall and 11 inches long.
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Imagine the cup is inside!
• Place the bridge so that the 11 inch bridge spans the video tapes and aligns with their edges.
• Place dixie cup gently in the middle of the bridge.
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Method for experiment
• SLOWLY and GENTLY add one penny at a time to the cup.
• Record in the data sheet the number of pennies that it took for the bridge to collapse.
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Bridge 2 & 3
• Fold two pieces of paper into the U shape and suspend them, one on top of the other for double thickness, between the tapes.
• Again test the collapse weight of the bridge and record the data on the sheet.
• Fold three pieces of paper and test a three thickness bridge.
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Class record
• We will record the data for the class and calculate the average value for each thickness of bridge.
• Since data can be varied the averages over many trials should give us a reasonable value.
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Graphs
• A quick way to look at data and analyze results is to graph the data.
• Plot the points on the graph paper on your sheet with the thickness on the horizontal axis (independent variable) and collapse weight on the vertical axis (dependent variable).
• Draw a line through what seems to be the middle of the points. This is called the line of best fit and it is approximate. (Excel is great at this)
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Interpolation and Extrapolation
• These are fancy words that mean looking between your data and outside of your data (assuming that the data would continue)
• Choose what value of pennies you believe a bridge 1.5 or 2.5 sheets thick would hold.
• Determine what value of pennies you believe that a bridge 4 or 5 sheets thick would hold.
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Questions and feedback
• Was the activity fun?• Would it be easy to do with students?• Is the math understandable?• Is the activity valuable?• Is there anything that we could have done
differently?
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Conclusion : 2nd st now