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# Using real world data in math - PowerPoint PPT Presentation

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

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### Using real world data in math

Sara Turnbull

Andy Albee

• 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

Pictures of 2nd St. at 6:30

• Wewill 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.

Each group should have:

• 6 sheets of 4x11 inch paper

• 50 pennies

• 1 dixie cup

• 2 video tapes

• 1 record sheet

• 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.

• 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.

• 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.

• 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.

• 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.

• 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.

• 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)

• 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.

• 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?