Percent Increase and Decrease Quiz
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Real-Life Piecewise Functions: Water Bill Step-by-Step Precalc Investigation
Bring piecewise functions to life with this engaging real-world Precalculus task that connects math concepts to a relatable, authentic scenario — calculating water bills using real data from Palm Bay, Florida and other U.S. counties! Students explore tiered water rates and build mathematical models that help them understand how piecewise functions, slopes, and continuity apply to real-world pricing systems. Perfect for Precalculus, Algebra 2, or Functions and Modeling units. Students are intro
9th - 12th
Algebra 2, Applied Math, PreCalculus
Elliptical Orbits Project (PBL) - Precalculus Conic Sections & Eccentricity
This engaging Project-Based Learning (PBL) activity brings conic sections to life by having students explore how ellipses model real-world orbits. Students select a planet, moon, comet, or satellite and use research to gather key data such as eccentricity and orbital measurements, then create a mathematical model using the equation of an ellipse. They will construct and label a diagram, analyze how eccentricity affects the shape of the orbit, and present their findings through a visual project.
7th - 12th
Algebra, Geometry, PreCalculus
CCSS
HSF-IF.B.4
, HSF-BF.A.1
, HSG-GPE.A.3
+1
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