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Video Analysis in the Math Classroom
Monkey and the Hunter Problem
n A zookeeper is trying to coax an escaped monkey to climb down from a tree. After several unsuccessful attempts to entice the monkey down, the zookeeper points her tranquilizer gun directly at the monkey and shoots. The monkey, who is a very astute observer, sees this, and, in an effort to escape certain slumber, immediately lets go of the branch from which it hung.
n Question to consider: Will the dart hit the monkey?
212g t⋅ ⋅
212g t⋅ ⋅
212g t⋅ ⋅
Introductions
Why use video analysis in the math classroom?
n Provides a change of pace n Uses cross-curricular concepts (Science,
Technology, Math) n Great way to integrate STEM activities n Excellent way to study “real world” examples of
phenomena that are described by linear, quadratic, hyperbolic, square root, and sinusoidal relationships and graphs.
Pendulum Activity
n Part I: Devise a method for accurately measuring the period of a pendulum.
n Part II: Video Analysis of Pendulum Motion n Before analyzing the video, sketch graphs predicting
the y-position vs. time and the x-position vs. time for a swinging pendulum.
Investigation 2: Motion on a Ramp
n Materials: n Inclined plane (w/ scale drawn on it) n toy car n video capturing device
n Record a video of the car going up and down the ramp. n Use video to gather position and time data (camera
shoots at 30 fpsà0.033 s/frame) n Make a plot of position vs. time n Analyze graph
Contact Info:
n Raphael Carlson n raphaelc@chof.net
n Mike Reiners n mreiners@chof.net
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