Main Topics
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Integrating concepts from previous units to model real-world situations
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Building and analyzing mathematical models
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Using technology (graphing calculators, Desmos, GeoGebra)
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Communicating reasoning and reflecting on connections
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Review and final exam preparation
Key Skills
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Translate real-life scenarios into mathematical form
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Select and apply appropriate methods (algebraic, graphical, numeric)
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Interpret solutions and justify results
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Synthesize multiple mathematical concepts in one problem
Suggested Activities
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Capstone modeling project (apply 3+ units)
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Technology-based investigation (graph analysis / parameter changes)
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Final review and reflection assignments
Mathematical Modeling and Integration
This unit explores parabolas and the quadratic relationships that define them. Students learn to factor quadratic expressions, complete the square, and apply the quadratic formula. They study how the graph of a quadratic function changes with transformations (shifts, reflections, stretches). The unit also emphasizes real-life applications such as projectile motion and optimization problems. By the end, students understand how to analyze and model real situations using quadratic functions both algebraically and graphically.
Summary
