An Investigation into
Reflections
This
exercise will enable students to build through guided explorations a working
definition of the geometric transformation known as a reflection. They will take this knowledge and use it to
make a written proposal accompanied by a class presentation targeted to a
fictitious department store recommending the optimal angle settings for
three-paneled mirrors.
The
goal of this activity is to help students understand geometrically what is
taking place when we see our reflection in a mirror and help them to realize
mathematics can be used to simulate real world situations and ultimately help
make the best recommendation for the situation being presented. The report part of the exercise will provide
experience in writing and presentations.
The primary focus is to provide students with opportunities to practice
skills that are required to be a part of today’s workforce. In addition, an exciting part of this
practice is it will be done within a mathematical context!
This
activity will be broken up into five parts.
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Composition
of Reflections-Reflection across Two Different Mirror Lines |
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Making
Recommendations Based on Mathematical Investigation |
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On-site
Measurements to Confirm Findings |
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