Precalculus Projects in High School
Precalculus is a challenging course that is designed to prepare students for the complexities of calculus. If you need to express your understanding of precalculus through a school project or presentation, there are a number of options available. Precaculus projects can be difficult, but can also prove to be fun with the right approach.
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License Plates
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In every state, vehicles are required to have license plates. These plates are used to identify vehicles and their owners for legal purposes. Every state has its own set of rules regarding license plate numbers, but most plates feature six digits and can include both numbers and letters. Develop formulas that can solve license plate problems like determining how many possible combinations exist based on your state's rules, how many cars share the same first three digits, how many can exist with only letters or numbers in the plate, and how many plates exist with the same last three digits.
Sleep Study
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It is widely accepted that the amount of sleep you get can have a serious impact on your health, productivity and general mood. Sleep studies have been done by numerous researchers to identify common sleeping problems and find the "perfect" amount of sleep for individuals. If you are working on a group project, you can use sleep studies to your advantage. Ask each person in your group how much sleep he had in the last 24 hours. Compare this information with a control survey that most high school students got seven hours of sleep with a 1.25 deviation. Determine what percentage of high schoolers got more sleep and less sleep than each person in your group.
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Math and Nature
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Nature showcases a wide array of mathematical principles. From the Fibonacci series being present in shells, pine cones and sunflowers to the mathematical precision of a bee's honeycomb, there are plenty of opportunities to apply mathematical theories to the world around you. Choose a topic in nature that demonstrates a theme of precaculus like fractals, the golden mean or 3D geometry. Attempt to draw parallels between that topic and the mathematical theory behind it.
Cryptograms
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Cryptograms are coded messages that require mathematical code breaking in order to be interpreted. In each cryptogram, letters are replaced with numbers or different letters. Build your own cryptogram system that can be used to easily encode and decode messages. This system can be as complex as you like, as you have all real numbers and the alphabet to play with when creating your code. As a group presentation, you may try giving classmates a crack at your code before revealing the key.
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