**MATHEMATICS COURSES**

__* A graduation, Core 40, and Academic Honors Course__

**2520 ALGEBRA I ***

*Algebra I *formalizes and extends the mathematics that students learned in the middle grades. Five critical areas comprise Algebra I: Relations and Functions; Linear Equations and Inequalities; Quadratic and Nonlinear Equations; Systems of Equations and Inequalities; and Polynomial Expressions. The critical areas deepen and extend understanding of linear and exponential relationships by contrasting them with each other and by applying linear models to data that exhibit a linear trend, and students engage in methods for analyzing, solving, and using quadratic functions. The Mathematical Practice Standards apply throughout each course and, together with the content standards and CCSS, prescribe that students experience mathematics as a coherent, useful, and logical subject that makes use of their ability to make sense of problem situations.

**Grade: ** 9-12** Prerequisite: **None** Full Year: **2 credits

**2522 ALGEBRA II ***

*Algebra II* builds on work with linear, quadratic, and exponential functions and allows for students to extend their repertoire of functions to include polynomial, rational, and radical functions. Students work closely with the expressions that define the functions, and continue to expand and hone their abilities to model situations and to solve equations, including solving quadratic equations over the set of complex numbers and solving exponential equations using the properties of logarithms. The Mathematical Practice Standards apply throughout each course and, together with the content standards and CCSS, prescribe that students experience mathematics as a coherent, useful, and logical subject that makes use of their ability to make sense of problem situations.

**Grade: **10-12** Prerequisite: **Algebra I, Geometry** Full Year: **2 credits

**2522 ADAVANCED ALGEBRA II*** **** **** **

***

*Advanced Algebra II* provides students with the skills and understandings that are necessary for advanced manipulation of linear, quadratic, exponential, polynomial, rational, and radical functions. Students work closely with the expressions that define the functions, and continue to expand and hone their abilities to model situations and to solve equations, including solving quadratic equations over the set of complex numbers and solving exponential equations using the properties of logarithms. The Mathematical Practice Standards apply throughout each course and, together with the content standards and CCSS, prescribe that students experience mathematics as a coherent, useful, and logical subject that makes use of their ability to make sense of problem situations.

**Grade: **10-12 ** Prerequisite: **Algebra I, Geometry** Full Year: **2 credits

**2532 GEOMETRY*** **** **

***

*Geometry* formalizes and extends students’ geometric experiences from the middle grades. Students explore more complex geometric situations and deepen their explanations of geometric relationships, moving towards formal mathematical arguments. Six critical areas comprise the *Geometry* course: Congruency and Similarity; Measurement; Analytic Geometry; Circles; and Polyhedra. The Mathematical Practice Standards apply throughout each course and, together with the content standards and CCSS, prescribe that students experience mathematics as a coherent, useful, and logical subject that makes use of their ability to make sense of problem situations.

**Grade: ** 9-12 ** Prerequisite: ** Algebra** Full Year: **2 credits

** **

**2564*** *PRE-CALCULUS/TRIGONOMETRY (Dual Credit opportunity)*

*PRE-CALCULUS/TRIGONOMETRY (Dual Credit opportunity)**

*Pre-Calculus/Trigonometry *is a two-credit course that combines the material from *Trigonometry* and *Pre-Calculus* into one course. The foundations of algebra and functions developed in previous courses will be extended to new functions, including exponential and logarithmic functions, and to higher-level sequences and series.* *The course provides students with the skills and understandings that are necessary for advanced manipulation of angles and measurement. Students will also advance their understanding of*imaginary* numbers through an investigation of complex numbers and polar coordinates. The course is designed for students who expect math to be a major component of their future college and career experiences, and as such it is designed to provide students with strong foundations for calculus and other higher-level math courses.

**Grade: **11-12 ** Prerequisite: ** Algebra I, II, Geometry** Full Year: ** 2 credits

**2562*** *CALCULUS AB, (Advanced Placement and/or DualCredit Opportunity) *** **

*CALCULUS AB, (Advanced Placement and/or DualCredit Opportunity) **

*Calculus AB* is a college-level course in differential and integral calculus, equivalent to one semester of calculus at most universities. Topics include: a review of functions, an introduction to limits and continuity, derivatives and their applications, integrals and their applications, anti-derivatives and the Fundamental Theorem of Calculus, and an introduction to differential equations using slope fields. There is an emphasis on conceptual understanding and working with functions represented graphically, numerically, analytically, and verbally. A graphing calculator is used extensively. The Advanced Placement Calculus AB exam is expected of all students in this course.

**Grade:** 12** Prerequisite:** Algebra I, II, Geometry, Pre-Calculus** Full Year: **2 credits