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Category:
Academic Services
Grade Levels:
(Grades 9-12)
Final Projects or Artifacts:
Students will create a Calculus Mastery Portfolio, which includes: A derivative and integral application project, such as modeling population growth, physics-based motion analysis, or optimization in business or engineering. A graphical and analytical exploration, where students analyze a function’s behavior using limits, derivatives, and integrals, supported by a visual representation of the function’s critical points, concavity, and asymptotes. A written or video explanation of a key calculus concept (e.g., explaining the meaning of a derivative in a real-world context or demonstrating an integration technique step-by-step).
Program Requirements:
Program Description:
This course introduces students to the fundamental concepts of calculus, focusing on limits, derivatives, integrals, and their real-world applications. Students will learn differentiation techniques, applications of the derivative (such as optimization and motion problems), integration methods, and the Fundamental Theorem of Calculus. The course emphasizes problem-solving, conceptual understanding, and preparation for standardized exams such as the AP Calculus AB/BC exams or college-level coursework. Through guided instruction, practice problems, and interactive discussions, students will develop the skills necessary for advanced mathematical reasoning and applications in fields such as physics, engineering, and economics.
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