The Mystery Bottle II

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The Mystery Bottle II

• This Time Is Personal

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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

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The Basic Idea

• Add a certain volume of water to a container
  measure how much the height increases.

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Ive collected data for 3 bottles
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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

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What would be the graph for a beaker?
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What would be the graph for a flask?
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What would be the graph for a funnel?
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What is the shape of this container?
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How about this one?
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And this guy?
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Is this container possible?
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What Does The Slope Mean
The slope is the reciprocal of the area of the
bottle
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What would the slope of a graph that had Force
and acceleration on the axis (remember Newtons
Second Law)?
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What is the cross sectional area of this
container?
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What is the cross sectional area of this
container?
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What is the cross sectional area of this
container?
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Assessment
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See if you can estimate the shape of the mystery
bottle
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Task 2 See if you can sketch the shape of the
bottle
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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

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Given To Us

• Some Collected Data
• We can assume that the bottle has a circular
  circumference.
• Areacircle ?r2

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Possible Solutions
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Task 2 See if you can sketch the shape of the
bottle
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Which volume to use?
Volume Added
Total Added
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Which height to use?
Volume Added
Total Added
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Which height to use?
Volume Added
Total Added
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Just how do you get h?
height
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Activity Development
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Development Sequence
Get your operational parameters
Objectives
Assessment
Develop Instructional sequence
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Decide on the type of Lesson
Group Work
Inquiry
Inductive
Direct Instruction
Jigsaw
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Choose your weapons
Spreadsheets
Modeling Software
Simulations
Digital Imaging
Electronic Data Collection
Presentation Software
Information Systems
Communication Tools
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Then You

• Tinker
• Tinker
• Tinker