The Mystery Bottle II This Time Is Personal

Objectives  Physics 2 The student will investigate and understand how to analyze and interpret data. Key concepts include  a description of a physical problem is translated into a mathematical statement in order to find a solution;  relationships between physical quantities are determined using the shape of a curve passing through experimentally obtained data;  the slope of a linear relationship is calculated and includes appropriate units  interpolated, extrapolated, and analyzed trends are used to make predictions;

The Basic Idea  Add a certain volume of water to a container measure how much the height increases.

I’ve collected data for 3 bottles

Task 1  Graph Total Volume vs. Height for each of the bottles  Figure out what the slope of a Total Volume vs. Height graph means

What would be the graph for a beaker?

What would be the graph for a flask?

What would be the graph for a funnel?

What is the shape of this container?

How about this one?

And this guy?

Is this container possible?

What Does The Slope Mean The slope is the reciprocal of the area of the bottle

What would the slope of a graph that had Force and acceleration on the axis (remember Newton’s Second Law)?

What is the cross sectional area of this container?

Assessment

See if you can estimate the shape of the mystery bottle

Task 2: See if you can sketch the shape of the bottle

Task 2: Graph the shape of the mystery bottle  Given the data and the formula for area come up with a way to calculate the radius for each data point.  Come up with a graph of the Bottle Radius vs. Height

Given To Us  Some Collected Data  We can assume that the bottle has a circular circumference.  Area circle =  r 2

Possible Solutions

Task 2: See if you can sketch the shape of the bottle

Which volume to use? Volume Added Total Added

Which height to use? Volume Added Total Added

Which height to use? Volume Added Total Added

Just how do you get h? height

Activity Development

Objectives Assessment Develop Instructional sequence Development Sequence Get your operational parameters

Decide on the type of Lesson Inquiry Inductive Jigsaw Direct Instruction Group Work

Choose your weapons Spreadsheets Simulations Modeling Software Digital Imaging Electronic Data Collection Presentation Software Information Systems Communication Tools

Then You…  Tinker