Dover High School - Course Info

Dover High School

Dual Enrollment Pre-Calculus:

Dual Enrollment Pre-Calculus is a rigorous, full-year course offered in partnership with County College of Morris (CCM) through the Early College program. Students earn both high school and college credit by completing MAT 123 – Pre-Calculus, a transferable 4-credit college-level math course. This course bridges the gap between Algebra II and Calculus by developing fluency in algebraic manipulation, function analysis, and mathematical modeling.
Topics include linear, polynomial, rational, exponential, logarithmic, and trigonometric functions, with a strong emphasis on graphing, transformations, inverse functions, and problem-solving in real-world contexts. Students also explore analytic geometry, systems of equations, trigonometric identities, and applications of trigonometry.
As a college-level course, students are expected to demonstrate independence, persistence, and academic responsibility. Successful completion prepares students for higher-level college math courses, including Calculus I, and strengthens their readiness for STEM-related majors and careers.

Algebra I:

This comprehensive course aims to provide students with a strong foundation in Algebra, empowering them to understand and apply mathematical principles to real-world scenarios. Throughout this course, students will explore various units, each focusing on essential algebraic concepts and problem-solving techniques.
Students dive into the world of functions and graphs, discovering how to model and interpret real-world situations using algebraic expressions. They will explore how functions represent relationships between variables and learn to construct graphs to visualize these relationships.
The emphasis will be on practical applications to demonstrate the relevance of Algebra in everyday life.
- Building on their understanding of functions, students delve into linear functions and explore their properties. They learn how to write equations for linear models that represent linear relationships between variables.
- Students then focus on linear equations and inequalities, fundamental tools for solving real-world problems. Students learn various techniques to solve linear equations and inequalities, applying them to diverse scenarios. Emphasis will be placed on understanding the solutions in the context of the real-world context.
- This evolves into systems of linear equations and inequalities. Students learn different methods to solve these systems and interpret solutions in terms of the real-world context.
- Students then explore quadratic functions and delve into their unique features and characteristics. They will analyze quadratic graphs and explore the behavior of quadratic functions with and without transformations.
- Various forms of quadratic equations will also be covered. Students learn multiple methods to solve quadratic equations, including factoring, completing the square, and using the Quadratic Formula. Real-world applications will reinforce the importance of these problem-solving skills.
- Students also explore absolute value functions, piecewise-defined and step functions, and exponential growth and decay functions. Students previously used statistics to describe and draw inferences about one or two populations of data and students will approximate data by using a normal distribution.
By the end of Algebra I, students will have developed a robust understanding of algebraic concepts and the ability to apply them in diverse real-world situations. They will be well-prepared to continue their mathematical journey with confidence and valuable problem-solving skills that extend beyond the realm of mathematics.

Los Objetivos de Precálculo Inscripción Doble & Álgebra 1:

Los estudiantes tendrán las herramientas necesarias para resolver con confianza diversas situaciones matemáticas y se espera que puedan resolver problemas de la vida diaria que vayan mucho mas allá de las matemáticas.
Para el curso de Precálculo Inscripción Doble en particular, tendré altas expectativas académicas porque es un curso universitario con County College of Morris (CCM).

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