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COURSE: Algebra I

GRADE: 9-12

PREREQUISITES: Pre-Algebra, successful completion of eighth grade mathematics, or consent of instructor. Successful completion of first semester is a prerequisite to second semester.

*Give careful consideration to your Algebra Prognostic Test score. Consult the instructor or the guidance counselor if you have any questions.

CREDIT: 1

COURSE DESCRIPTION: The fundamental purpose of this course is to formalize and extend the mathematics that students learned in the middle grades. Because it is built on the middle grades standards, this is a more ambitious version of Algebra I than has generally been offered. The critical areas, called units, 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, prescribe that students experience mathematics as a coherent, useful, and logical subject that makes use of their ability to make sense of problem situations.

** course description courtesy of Common Core State Standards

COURSE: Algebra II & Trigonometry

GRADE: 10-12

PREREQUISITES: Algebra I & Geometry, or as a co-requisite with Geometry with consent of the instructor. Successful completion of first semester is a prerequisite to second semester.

CREDIT: 1

COURSE DESCRIPTION: Building on their work with linear, quadratic, and exponential functions, students 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, prescribe that students experience mathematics as a coherent, useful, and logical subject that makes use of their ability to make sense of problem situations.

** course description courtesy of Common Core State Standards

COURSE: Advanced Placement Calculus AB

GRADE: 12

PREREQUISITES: Precalculus or equivalent course work with consent of instructor. Successful completion of first semester is a prerequisite to second semester.

CREDIT: 1

COURSE DESCRIPTION: Calculus AB is primarily concerned with developing the studentsâ€™ understanding of the concepts of calculus and providing experience with its methods and applications. The courses emphasize a multi-representational approach to calculus, with concepts, results, and problems being expressed graphically, numerically, analytically, and verbally. The connections among these representations also are important.

AP Calculus intended to be challenging and demanding. Broad concepts and widely applicable methods are emphasized. The focus of the courses is neither manipulation nor memorization of an extensive taxonomy of functions, curves, theorems, or problem types. Thus, although facility with manipulation and computational competence are important outcomes, they are not the core of these courses. Technology should be used regularly by students and teachers to reinforce the relationships among the multiple representations of functions, to confirm written work, to implement experimentation, and to assist in interpreting results. Through the use of the unifying themes of derivatives, integrals, limits, approximation, and applications and modeling, the course becomes a cohesive whole rather than a collection of unrelated topics.

These themes are developed using all the functions listed in the prerequisites.

**course description courtesy of AP Central

COURSE: Advanced Placement Statistics

GRADE: 11-12

PREREQUISITES: Algebra II/Trig. Successful completion of first semester is a prerequisite to second semester.

CREDIT: 1

COURSE DESCRIPTION: APÂ® is a rigorous academic program built on the commitment, passion and hard work of students and educators from both secondary schools and higher education. With more than 30 courses in a wide variety of subject areas, AP provides willing and academically prepared high school students with the opportunity to study and learn at the college level. The purpose of the AP course in statistics is to introduce students to the major concepts and tools for collecting, analyzing and drawing conclusions from data.

Students are exposed to four broad conceptual themes:

1. Exploring Data: Describing patterns and departures from patterns

2. Sampling and Experimentation: Planning and conducting a study

3. Anticipating Patterns: Exploring random phenomena using probability and simulation

4. Statistical Inference: Estimating population parameters and testing hypotheses

**course description courtesy of AP Central

COURSE: Geometry

GRADE: 9-12

PREREQUISITES: Algebra I (1 year) or equivalent course work with consent of the instructor. Successful completion of first semester is a prerequisite to second semester.

CREDIT: 1

COURSE DESCRIPTION: In this course, students explore geometry using Geometer's Sketchpad, TI-92, and real world situations. Using inductive reasoning, students make conjectures based on their explorations, which they later prove deductively. Topics covered include: basic geometric terminology, area, volume, trigonometry, properties of circles, triangles, polygons, geometric solids, deductive proofs (very little emphasis ), and transformational geometry. An attempt is made to relate the geometric principles to real world contexts.

First semester credit in Geometry must be earned before continuing second semester.

Prerequisite: Integrated I

The focus of Mathematics II is on geometry and linear expressions, equations, and functions; comparing their characteristics and behavior to those of linear and exponential relationships from Mathematics I as organized into 6 critical areas, or units. The link between probability and data is explored through conditional probability and counting methods, including their use in making and evaluating decisions. The study of similarity leads to an understanding of right triangle trigonometry and connects to quadratics through Pythagorean relationships. Circles, with their quadratic algebraic representations, round out the course. The Mathematical Practice Standards apply throughout each course and, together with the content standards, prescribe that student experience mathematics as a coherent, useful, and logical subject that makes use of their ability to make sense of problem situations.

**Course description courtesy of the Common Core State Standards

Course: Integrated Math I

Prerequisite: 8th Grade Math

Integrated I is intended for students that may have struggled with mathematics in the past that need additional attention and a smaller class setting for more individualized teacher instruction. The fundamental purpose of Mathematics I is to formalize and extend the mathematics that students learned in the middle grades. The critical areas, organized into units, deepen and extend understanding of linear relationships, in part by contrasting them with exponential phenomena, and in part by applying linear models to data that exhibit a linear trend. Mathematics I uses properties and theorems involving congruent figures to deepen and extend understanding of geometric knowledge from prior grades. The final unit in the course ties together the algebraic and geometric ideas studied. The mathematical Practice Standards apply throughout each course and, together with the content standards, prescribe that students experience mathematics as a coherent, useful, and logical subject that makes use of their ability to make sense of problem situations.

**Course description courtesy of the Common Core State Standards

Integrated II

Prerequisite: Integrated I

The focus of Mathematics II is on geometry and linear expressions, equations, and functions; comparing their characteristics and behavior to those of linear and exponential relationships from Mathematics I as organized into 6 critical areas, or units. The link between probability and data is explored through conditional probability and counting methods, including their use in making and evaluating decisions. The study of similarity leads to an understanding of right triangle trigonometry and connects to quadratics through Pythagorean relationships. Circles, with their quadratic algebraic representations, round out the course. The Mathematical Practice Standards apply throughout each course and, together with the content standards, prescribe that student experience mathematics as a coherent, useful, and logical subject that makes use of their ability to make sense of problem situations.

**Course description courtesy of the Common Core State Standards

Integrated III

Prerequisite: Integrated II

The focus of Mathematics III is on quadratic expressions, equations, and functions; comparing their characteristics and behavior to those of linear and exponential relationships from Mathematics I & II as organized into 6 critical areas, or units. The need for extending the set of rational numbers arises and real and complex numbers are introduced so that all quadratic equations can be solved. The study of similarity leads to an understanding of right triangle trigonometry and connects to quadratics through Pythagorean relationships. Mathematical Practice Standards apply throughout each course and, together with the content standards, prescribe that student experience mathematics as a coherent, useful, and logical subject that makes use of their ability to make sense of problem situations.

**Course description courtesy of the Common Core State Standards

COURSE: Precalculus

GRADE: 11-12

PREREQUISITES: Algebra II & Trigonometry or equivalent course work with consent of instructor. Successful completion of first semester is a prerequisite to second semester.

CREDIT: 1

COURSE DESCRIPTION: During the first semester, advanced math concepts and precalculus content is presented. Students explore concepts from graphical, numerical, and technological perspectives. The application and extension of Algebra, Trigonometry, and Geometry comprise the first semester. The second semester concentrates on beginning Calculus topics and concepts. This course is intended to prepare students for college course work.

First semester Precalculus is a prerequisite to second semester.