# Math

**Course Descriptions**

**Foundations 2 (9 ^{th} grade)**

Foundations 2 is designed to prepare students with fundamental math concepts needed for success in future mathematics courses. Topics in this course include operations with integers and fractions, simplifying variable and algebraic expressions, and solving and graphing linear equations and inequalities. Additional topics include applications with percents and proportions, statistics and probability, and geometry. Upon successful completion of Foundations 2, students advance to Algebra I.

Prerequisite classes: none

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**Applied Algebra**

Mathematics is a combination of mathematical science and the ability to work on practical problems by formulating and studying mathematical models. This introductory course covers topics including: operations with integers, solving equations, make sense of linear patterns, linear equations, exponentials, polynomials, quadratics, statistics and probability. Students will also attain important mathematical skills such as problem solving, logic, patterns, reasoning, and mathematical modeling. This mathematics course meets the Algebra 1 credit for graduation requirement but is not A-G qualified. Upon successful completion of Applied Algebra, students advance Applied Geometry (or Consumer Math if they are seniors).

Prerequisite classes: Foundations II

**Algebra**

This course covers topics including patterns, linear functions, exponential functions, transformations, and quadratic functions. Students will use such skills as equations solving, logical thinking, graphing, number sense, and real-world applications. This course is A-G qualified and is required for graduation. Upon successful completion of Algebra I, students advance to Geometry.

Prerequisite classes: Recommended placement from junior high or Foundations II C or better

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**Applied Geometry**

This course introduces basic geometric topics including angles, segments, parallel and perpendicular lines, polygons, right triangles, area, perimeter, similarity, circles, surface area, volume, transformations, constructions, and basic right triangle trigonometry. Emphasis is placed on geometric vocabulary and problem solving.

Prerequisite classes: Applied Algebra, Algebra 10-12, or Algebra

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**CP Geometry**

The purpose of Geometry is to describe geometric shapes and patterns while discovering various relationships that exist among them. Emphasis is placed on investigations, discovering conjectures, constructions, and geometric applications to the physical world. Some of the main topics included are transformations, triangle congruence, polygon properties, similarity, circle properties, area, volume, Pythagorean Theorem, and trigonometry. This course is A-G qualified. Upon successful completion of Geometry, students advance to Algebra II.

Prerequisite classes: Algebra C or better.

**GATE Geometry **

The purpose of GATE Geometry is to describe geometric shapes and patterns while discovering various relationships that exist among them in a rigorous environment. Emphasis is placed on investigations, discovering conjectures, constructions, critical thinking through proof writing and geometric applications to the physical world. Some of the main topics included are transformations, triangle congruence, polygon properties, similarity, circle properties, area, volume, Pythagorean Theorem, and trigonometry. This course is A-G qualified. Upon successful completion of Geometry, students advance to Algebra II.

Prerequisite classes: Algebra and GATE qualifications.

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**Finite Math**

Finite math is an applied math course touching on a variety of disciplines. Algebraic concepts are used to solve real world problems in business, economics, life sciences, and the social sciences. The course consists of units in the study of functions, linear systems, financial math, matrices, logic, game theory, probability, Markov chains, and statistics. This course is A-G qualified.

Prerequisites: Successful completion of Algebra I and Geometry. Algebra II is recommended but not necessary.

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**Advanced Algebra**

This course is designed to build on algebraic and geometric concepts while making connections to the physical world. Topics include solving systems of equations, solving and graphing quadratic, polynomial, radical, exponential, logarithmic, and inverse functions, including complex and imaginary numbers. The content of this course will prepare students for success on both the SAT and ACT. This course is A-G qualified. Upon successful completion of Adv. Algebra students advance to Math Analysis, Pre-Calculus, or Statistics.

Prerequisite classes: Algebra I and Geometry with a C or better.

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**GATE Advanced Algebra**

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 expressions that define the functions and continue to expand and hone their abilities to model situations and to solve equations over the set of complex numbers and solving exponential equations using the properties of logarithms. This course is A-G qualified. Upon successful completion of GATE Adv. Algebra students advance to Honors Math Analysis, Pre-Calculus, or Statistics.

Prerequisite classes: Algebra and Geometry with a C or better, and GATE qualifications.

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**CP Math Analysis**

This course covers a variety of advanced math topics. These topics include polynomial functions, rational functions, exponential functions, logarithmic functions, trigonometric functions, analytic trigonometry, analytic geometry, conic sections, vectors, sequences, and series. This course is A-G qualified. Upon successful completion of Math Analysis CP, students will be prepared to advance to Calculus AB.

Prerequisite classes: Advanced Algebra and Geometry with a C or better.

**Honors Math Analysis**

This course covers a variety of advanced math topics. These topics include polynomial functions, rational functions, exponential functions, logarithmic functions, trigonometric functions, analytic trigonometry, analytic geometry, conic sections, vectors, sequences, series, limits, and an introduction to Calculus. This course is A-G qualified. Upon successful completion of Math Analysis Honors, students will be prepared to advance to Calculus AB.

Prerequisite classes: GATE Advanced Algebra and GATE Geometry with a C or better OR CP Advanced Algebra and CP Geometry with an A.

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**Precalculus Honors (12 ^{th }grade)**

This course is a combined version of College Algebra and Trigonometry. Topics include polynomial, rational,

exponential, and logarithmic functions, the fundamental theorem of algebra, trigonometric functions,

analytic trigonometry, vectors, polar equations, parametric equations, conic sections, and

applications. Students may earn 3 college math credits through CSUB upon the completion of this course with a C or better in the second semester. This course is A-G qualified. Upon successful completion of Precalculus Honors, students will be prepared to advance to college Calculus I. __This course is for 12 ^{th} grade students only.__

Prerequisite classes: Algebra 2 with a grade of A or B, or Math Analysis with a D or better

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**CP Statistics (12 ^{th} grade)**

To explore the four branches of statistics: Exploratory data analysis, experimental design, probability, and inferential statistics. The course relates the formal mathematical content to the real world, through the study of applications and the use of authentic data sets. We will explore probability primarily through a series of experiments and simulations. You will understand how math and real world are connected using statistics from a variety of genres. This course is A-G qualified. It is recommended that this course be taken in the senior year of high school. __This course is for 12 ^{th} grade students only.__

Prerequisite classes: Algebra 2 or Finite Math with a C or better.

**AP Statistics**

Advanced Placement Statistics is a course designed for students who are interested in having an introduction to college level Statistics. This is a two semester course that will introduce the students to the major themes of Statistics: __Exploring Data__ (Observing patterns and departures from patterns through the use of graphical displays), __Planning a Study__ (Designing Surveys, Experiments and Observational Studies using appropriate statistical techniques), __Anticipating Patterns__ (Exploring probability theory and producing models using probability and simulation), and __Statistical Inference__ (Formalized decision making based on accepted statistical tests and formulas). Ultimately, students will be applying what they have learned through major projects aimed at demonstrating competency in the major themes. Students will also be using technology daily through the use of graphing calculators and computers. This course is A-G qualified.

Prerequisite classes: Since AP Statistics is a rigorous course, it is expected that students who sign up for the class should have successfully completed all courses in the Mathematics sequence at least through Advanced Algebra. It is recommended that students have at least a B average in their Math and English courses.

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**AP Calculus AB/BC**

The overall goal of this course is to help students understand and apply the big ideas of Calculus: Limits, Derivatives, Integrals and the Fundamental Theorem of Calculus, and Series. Throughout the course, we will work on developing solid reasoning with definitions and theorems, connecting concepts through multiple representations, building notational fluency, and communicating mathematical concepts orally and in written format, with expressed computational accuracy.

AP Calculus is to prepare students to take and pass the College Board’s Advanced Placement exam for Calculus AB/BC. By definition, this course is college/university level; and will be taught commensurate with demands of a rigorous collegiate course of study. Successful passing of the AP exam will give students the necessary foundation to proceed in their chosen fields of study. A secondary goal is to develop an appreciation for the remarkable human achievement that the subject of calculus represents.

Pre-requisite courses: Successful completion of Honors or College Prep Level Math Analysis (Pre-Calculus).

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