# Math

Three years are required for graduation. Most colleges recommend four years of math and at least the completion of Algebra 2. Download the Math Pathways here.

#### Algebra IA - Grade 9

Year - 10 Credits

UC Approved

This is the first year of a two year Algebra I course. Content includes using variables, translating words into symbols, and working with the real number system and its properties. Students will solve equations and word problems as well as proportions to real world problems. Graphing algebraic equations and solving systems of equations will also be studied. Coupled with Algebra IB the following year, a comprehensive program in Algebra I will be completed.

#### Algebra IB - Grade 9, 10

Year - 10 Credits

UC Approved

**Prerequisite**: Successful completion of Algebra IA.

This is the second year of a two year Algebra course. Content includes using variables, translating words into symbols, and working with the real number system and its properties. Students will solve linear and quadratic equations and word problems, as well as simplify and factor polynomials. Students will graph linear, quadratic, and exponential equations. Simplifying algebraic fractions and fractional equations will also be studied. Coupled with Algebra IA, a comprehensive program in first-year algebra is completed.

#### Algebra I - Grade 9

Year - 10 Credits

UC Approved

This course provides a general introduction to the essentials of Algebra. Content includes variables, expressions, properties, working with rational and irrational numbers, and solving equations and inequalities. Polynomials and graphing and factoring are presented, with focus on application where appropriate. This course strengthens the student’s logical thought process.

#### Algebra I Honors - Grade 9

Year - 10 Credits

UC Approved

**Prerequisite: **Freshmen can place into this class based on their HSPT score.

This course replicates the course content of Algebra I but the concepts are studied more in-depth. There is an emphasis on word problems, quadratic equations, and other polynomial functions. In addition, conics, rational exponents, and imaginary numbers are introduced. This class moves at a significantly faster pace than Algebra I.

#### Algebra II - Grades 10, 11, 12

Year - 10 Credits

UC Approved

**Prerequisite:** Students currently in Geometry at JSerra take a weekly Algebra review quiz and are required to have an average of 75% over the course of the year to be placed into Algebra 2. Students who earn less than a 75% will be placed into Intermediate Algebra. If currently enrolled in Intermediate Algebra, students must have a B in both semesters of the course. Summer assignment is required.

This course will prepare the students for college and deepen their understanding and increase their skills in working with algebraic concepts learned in Algebra I. Topics of study include linear and quadratic equations, functions, conic sections and properties of rational and irrational numbers. Graphing calculators are used to enhance understanding of algebraic concepts.

#### Algebra II/Trigonometry Honors - Grades 10, 11

Year - 10 Credits

UC Approved

**Prerequisite**: A B+ or better in both semesters of Geometry H and a score of 85% or above on weekly Algebra 1 quizzes given in prior Geometry course. Summer assignment is required.

This class is an advanced course in Algebra II and Trigonometry that delves into the math concepts in greater depth. Student must be able to compute work with speed and accuracy. Subjects covered include polynomial functions, sequences, series, exponential and logarithmic functions, right triangle trigonometry, and some analytical geometry. Graphing calculators are used in the understanding of algebraic concepts.

#### AP Calculus AB - Grades 11, 12

Year - 10 Credits

UC Approved

**Prerequisite:** A grade of A in both semesters of Pre-Calculus or an 85% or higher in both semesters of Pre-Calculus Honors; teacher approval. A grade of B or better in both semesters of Calculus with teacher recommendation.* *

This course prepares the students for the AP College Board exam in May. Subjects covered include functions, graphs, limits and continuity, differentiation, and applications of the derivative, definite integrals and their application. The Fundamental Theorem of Calculus is presented. Students are required to take the AP exam at the end of the year for college credit. There is a fee of $100 for AP exam.

#### AP Calculus BC - Grade 12

Year - 10 Credits

UC Approved

**Prerequisite: **** **A grade of at least 85% in both semesters of AP Calculus AB; teacher approval. Summer assignment required.

This course prepares the students for the AP College Board exam in May. Coursework includes all of the material from Calculus AB. Additional topics include: planar equations in parametric, polar, and vector forms; series including power series; convergence and divergence; and differential equations. Students are required take the AP exam at the end of the year for college credit. There is a fee of $100 for AP exam.

#### AP Statistics - Grade 12

Year - 10 Credits

UC Approved

**Prerequisites: **A grade of A or better in both semesters of Statistics or a grade of B or better in both semesters of Pre-Calculus Honors or concurrent enrollment in Pre-Calculus Honors, or a grade of A or better in both semesters of Pre-Calculus. Additionally, students will have to take a placement exam to be approved for this course.

This is a one year course designed to prepare the students to take and pass the AP Statistics exam in May. The students will be introduced to the major concepts and tools for collecting, analyzing and drawing conclusions from data. Students will be exposed to four broad conceptual themes: Exploring Data, Sampling and Experimentation, Anticipating Patterns and Statistical Inference. This course is similar to the statistics courses that are typically required in college for social science, health sciences, business, science, engineering, and math majors. Students are required to take the AP exam in May. There is a fee of $100 for AP exam.

#### Business Mathematics - Grades 11, 12

Year - 10 Credits

This course teaches students how to use math in their daily and business lives. Course content includes accounting principles, personal finance, and business math such as marketing, purchasing, loan applications, financial and corporate planning, and financial accounting practice.

#### Calculus - Grades 11, 12

Year - 10 Credits

UC Approved

**Prerequisite: **A grade of 85% or better in both semesters of Pre-Calculus or 75% or better in both semesters of Pre-Calculus Honors and teacher recommendation.

This is a one year course designed to give students maximum preparation for college Calculus. In addition, to a quick review of Pre-Calculus topics, this course will provide a comprehensive study of limits, continuity, derivatives, related rates, optimization, and other applications of derivatives, as well as an introduction to indefinite, definite and numerical integration. While the topics of the course are similar to the AP Calculus class, the level of depth and the pace of the course differ. Upon completion of this course, students will be prepared to succeed in a Calculus I college class.

#### Geometry - Grades 9, 10, 11

Year - 10 Credits

UC Approved

**Prerequisite: **Successful completion of Algebra I or completion of one full year of Algebra 1a and one full year of Algebra 1b. Algebra 1b cannot be taken over the summer. Freshmen can place into course by passing the JSerra math placement exam.

This course leads to an understanding of the relationship among points, lines, and planes. Plane figures such as triangles, parallelograms, circles and general polygons will also be explored. Students will develop an understanding of the nature proofs and will gain experience in writing two column proofs.

#### Geometry Honors - Grades 9, 10, 11

Year - 10 Credits

UC Approved

**Prerequisite: ***Freshmen can place into course by passing the JSerra math placement exam. For sophomores, a grade of at least B+ in both semesters of Algebra I Honors.*

This course replicates the content of Geometry, but concepts are studied in greater depth at an accelerated pace, with a greater emphasis on geometric proof and trigonometry. The purpose of this course is to enable students to think logically, and to express complex ideas precisely through problem solving.

#### Intermediate Algebra II - Grades 10, 11, 12

Year - 10 Credits

UC Approved

**Prerequisite:** Successful completion of Algebra I and Geometry.

Intermediate Algebra II is a college prep course designed to increase the Algebra I skills for students. Additionally we will take the Algebra I skills and build upon Algebra II skill and content. Students will have enough knowledge to continue on in higher level mathematics as well as do well on college entrance exams. Concepts that receive focus are: linear equations and inequalities, graphs of lines, absolute values, radicals, parabolas, systems; polynomials and factoring, radicals, rational expressions and quadratics.

#### Introduction to College Math - Grades 11, 12

Year - 10 Credits

UC Approved

**Prerequisite:** Successful completion of Algebra II with a grade of C or better.

This course is specifically designed for students who have taken three years of mathematics (Algebra I, Geometry, Algebra II) and provides them with another year of mathematics. Students will study advanced Algebra concepts such as linear systems (with matrices), linear programming and function theorems and procedures for polynomial, quadratic, rational, exponential and logarithmic functions (including mathematics of finance, exponential growth and decay). Second semester focus will shift to trigonometry, analytical geometry, probability along with an introduction to statistics. The course content not only provides them with application in mathematics but also provides a solid foundation for trigonometry and pre-calculus. Lectures, projects and homework will be a regular part of the course work.

Introduction to College Math is a pre-calculus course which emphasizes a better understanding of functions and their applications and strengthens students’ mathematical reasoning and problem-solving skills. Some of the topics covered include trigonometry, parametric equations, vectors, polar coordinates, complex numbers, matrices, polynomial functions, rational functions, exponential functions, logarithmic functions, sequences, series, and limits.

#### Pre-Calculus - Grades 11, 12

Year - 10 Credits

UC Approved

**Prerequisite**: A grade of 85% or better in both semesters of Algebra II or 75% in both semesters of Algebra II Honors, a grade of 85% of better in Introduction to College Algebra; and teacher approval.

This course gives students a solid foundation for the study of calculus. This course is designed to follow Geometry in preparing the student for Calculus. The math subjects covered include algebraic, exponential, logarithmic, and trigonometric functions, and selected functions from analytical Geometry. This course will prepare the student for college level Calculus.

#### Pre-Calculus Honors - Grades 11, 12

Year - 10 Credits

UC Approved

**Prerequisite**:

*A grade of B or better in both semesters of Algebra II Honors or a grade of an A (95.0%) in both semesters of Algebra II and the completion of a Trigonometry enrichment course during the summer. Students must have approval from Honors Pre-Calculus Teacher. A completed Chapter P Summer Assignment is due on 1st class meeting followed with a quiz on the assignment topics.*

This course replicates the course content of Pre-Calculus, but the concepts are studied in greater depth and at a faster pace. This course gives college bound students a good foundation for Calculus, and in seeing math as a logical science and to apply this problem solving in many different disciplines.

#### Statistics - Grades 11, 12

Year - 10 Credits

UC Approved

**Prerequisite: **A grade of B- or better in both semesters of Algebra II or a grade of C or better in both semesters of Pre-Calculus, or a grade of 85% or better in Introduction to College Algebra; teacher approval.

Students learn the major concepts and tools for collecting, analyzing and drawing conclusion from data. The students will observe patterns and departure of patterns, decide what and how to measure, produce models using probability and simulation, and confirm models. They will complete projects involving hands on gathering and analysis of real world data. Appropriate technology, including manipulatives, calculators and computers will be used.