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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;
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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.
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 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)?
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. • Areacircle = r2
Which volume to use? Total Added Volume Added
Which height to use? Total Added Volume Added
Which height to use? Total Added Volume Added
Just how do you get h? height
Development Sequence Get your operational parameters Objectives Assessment Develop Instructional sequence
Decide on the type of Lesson Group Work Inquiry Inductive Direct Instruction Jigsaw
Choose your weapons Spreadsheets Modeling Software Simulations Digital Imaging Electronic Data Collection Presentation Software Information Systems Communication Tools
Then You… • Tinker • Tinker • Tinker