Of Corvettes National Council of Teachers of Mathematics Regional - - PowerPoint PPT Presentation

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Of Corvettes National Council of Teachers of Mathematics Regional - - PowerPoint PPT Presentation

May 31, 2023 444 likes •644 views

The Calculus Of Corvettes National Council of Teachers of Mathematics Regional Conference Minneapolis, MN November 12, 2015 Jackie Murawska Keith Nabb Saint Xavier University Moraine Valley Community College Chicago, Illinois Palos Hills,

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Jackie Murawska Saint Xavier University Chicago, Illinois murawska@sxu.edu

The Calculus Of Corvettes

Keith Nabb Moraine Valley Community College Palos Hills, Illinois nabb@morainevalley.edu

National Council of Teachers of Mathematics Regional Conference Minneapolis, MN November 12, 2015

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The Corvette Problem

1998 Corvette

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Race Day

In June 2013, Al Lewis raced his Corvette on the quarter mile drag strip in Joliet

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Time Slip

“How many seconds did it take me to reach a speed

  • f 60 mph?”
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Time Slip

Corvette

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Student Worksheet

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Let’s solve it!

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Sample Student Work: Kenneth

Kenneth’s table showing the Corvette’s acceleration is not constant.

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Sample Student Work: Kenneth

Kenneth’s regression curve, both graphically and algebraically.

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Sample Student Work: Jeremy

Jeremy’s graphical explanation when asked about his specific strategy.

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Sample Student Work: Jeremy

Snapshots of Jeremy’s calculations.

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Sample Student Work: Dan

Dan’s graph showing local linearity.

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Sample Student Work: Dan

Dan’s work on a computer algebra system.

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What do we see in these solutions?

  • More than D = RT
  • Local Linearity
  • Limits
  • Connections to other areas of Calculus
  • Physics
  • Geometry
  • Iterative Schemes
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Hallmarks of a Good Task

  • The problem solver must decide what

mathematics to bring in

  • The task uses real-life (often messy!) data
  • The task requires mathematical modeling
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Learning Trajectories

  • The problem is authentic, has a low entry

point for engagement, yet challenges the problem solver in a multitude of ways.

  • Natural components of this problem are

average and instantaneous rates of change, data analysis and statistics, technology use, and mathematical modeling.

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Corvettes, Curve Fitting, and Calculus

Article is published in September 2015 issue of NCTM journal Mathematics Teacher!

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Jackie Murawska Saint Xavier University Chicago, Illinois murawska@sxu.edu twitter: @murawskamath Keith Nabb Moraine Valley Community College Palos Hills, Illinois nabb@morainevalley.edu