# Math

Three years are required for graduation. Four years of Math are recommended for college admissions. Most colleges require Algebra 2.

Initial math is based on placement tests. All honors and math courses beyond Geometry will have pre-requisites.

- ALGEBRA 1A - GRADE 9
- ALGEBRA 1B - GRADE 10
- ALGEBRA 1 - GRADE 9
- ALGEBRA 1 HONORS - GRADE 9
- GEOMETRY - GRADES 9-11
- GEOMETRY HONORS - GRADES 9, 10
- Algebra 2/Trigonometry - GRADES 9-12
- Algebra 2 Lab - GRADES 11, 12
- ALGEBRA 2 - GRADES 11, 12
- ALGEBRA 2/TRIGONOMETRY HONORS - GRADES 9-11
- PRE-CALCULUS - GRADES 10-12
- AP PRECALCULUS - GRADES 10-12
- CALCULUS - GRADES 11, 12
- AP CALCULUS AB - GRADES 11, 12
- AP CALCULUS BC - GRADE 12
- STATISTICS - GRADES 11, 12
- AP STATISTICS - GRADES 11, 12
- Financial Algebra - GRADE 11, 12
- INTRODUCTION TO COLLEGE MATH - GRADES 11, 12

## ALGEBRA 1A - GRADE 9

This is the first of a two-year Algebra 1 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. Together with Algebra 1B the following year, a full-year, comprehensive program in Algebra 1 will be completed.

- Homework Expectation: 25 minutes per day
- Year
- 10 Credits
- UC Approved
- NCAA Approved: 5 credits of Math

## ALGEBRA 1B - GRADE 10

*Prerequisite: Minimum C- in the 1st semester of Algebra 1A. Placement pending based on 2nd semester grades matching prior requirements.*

This is the second year of a two-year Algebra 1 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, simplify and factor polynomials, graph linear, quadratic, and exponential equations. Simplifying algebraic fractions and fractional equations will also be studied. Together with Algebra 1A, a full-year, comprehensive program in Algebra 1 is completed. This course may not be taken over the summer.

- Homework Expectation: 25 minutes per day
- Year
- 10 Credits
- UC Approved
- NCAA Approved: 5 credits of Math

## ALGEBRA 1 - GRADE 9

Algebra 1 is a first-year high school Algebra course that begins with solving and graphing linear equations and inequalities. Students must understand the language of Algebra and have strong basic skills in operations with the real number system to continue their studies of polynomials and their factors, quadratic equations, rational expressions, radicals, and rational functions.

- Homework Expectation: 35 minutes per day
- Year
- 10 Credits
- UC Approved
- NCAA Approved

## ALGEBRA 1 HONORS - GRADE 9

*Prerequisite: Minimum HSPT score of 565 or qualify with the Math Challenge Exam.*

Algebra 1 Honors is a fast-paced first-year high school Algebra course which includes simplifying integers, combining like terms, graphing, factoring, exponents, multiplying binomials, systems of equations and solving linear and quadratic equations. Students will develop the ability to solve various types of equations, factor and solve polynomials and graph equations. This honors course will focus on higher level critical thinking and questions regularly involving fractions, decimals, and word problems.

- Homework Expectation: 35 minutes per day
- Year
- 10 Credits
- UC Approved
- NCAA Approved

## GEOMETRY - GRADES 9-11

*Prerequisites: Continuing students must have a minimum C- in the 1st semester of Algebra 1, or one full year of Algebra 1A and one full year of Algebra 1B with a minimum C- in each course. Incoming freshmen students can be placed into this course with a qualifying Math Challenge Exam score. Placement pending based on 2nd semester grades matching prior requirements.*

This course is designed for students with a solid foundation in Algebra I where students will be required to exhibit Algebra 1 skills. Students learn deductive proof writing, properties of angles, perpendicular and parallel lines, congruent triangles, similar polygons, circles, right triangles, area and volumes of solids, coordinate geometry and constructions.

- Homework Expectation: 25 minutes per day
- Year
- 10 Credits
- UC Approved
- NCAA Approved

## GEOMETRY HONORS - GRADES 9, 10

*Prerequisites: Continuing students must have a minimum A in the 1st semester of Algebra 1 and their current teacher recommendation or minimum B- in the 1st semester of Algebra 1 Honors. Incoming freshmen can be placed into this course with a qualifying Math Challenge Exam score. Placement pending based on 2nd semester grades matching prior requirements.*

This course is an advanced college prep course which replicates the content from geometry. In this course, concepts are studied in greater depth at an accelerated pace with a greater emphasis on geometric proofs and trigonometry. The purpose of this course is to enable students to think logically and express complex ideas precisely through problem solving. Mastery of Algebra 1 skills is a requirement.

- Homework Expectation: 50 minutes per day
- Year
- 10 Credits
- UC Approved
- NCAA Approved

## Algebra 2/Trigonometry - GRADES 9-12

*Prerequisites: All students must meet the state of California graduation requirement for a full year of Geometry course credit before moving into this course. Continuing students who do not meet a C- average on the weekly Algebra quizzes taken throughout the year in Geometry will be strongly encouraged to take Algebra 2 Lab. Incoming freshman students who have met the Geometry course credit requirement can be placed into this course with a qualifying Math Challenge Exam score. *

This course will prepare the students for college and deepen their understanding of Algebra as well as introduce students to functional trigonometry. The course embeds mathematical practices and modeling into standards which includes structure, properties, and operations of the complex number systems, quadratic equations in one variable (including rational, irrational, and imaginary roots), rational logarithms, exponential functions, systems of equations and inequalities, matrices, graphs, higher degree polynomials, factoring, binomial theorem, review right trigonometry and introduce basic trigonometric functions, and application of content to problem-solving. Graphing calculators are used to enhance the understanding of algebraic and trigonometric concepts. This course is designed to prepare students for Pre-Calculus and fulfills the Algebra requirement for admission to many colleges.

- Homework Expectation: 1 hour per day
- Summer Assignment Required: Due on 1st day of class
- Year
- 10 Credits
- UC Approved
- NCAA Approved

## Algebra 2 Lab - GRADES 11, 12

*Prerequisites: Placement for continuing students, in conjunction with their Algebra 2/Trigonometry course, is based on Algebra quiz scores from their Geometry course, teacher recommendation, counselor recommendation, and parent consent.*

The Algebra 2 Lab is a yearlong course designed to support Algebra 2/Trigonometry students by providing daily pre-teaching experience focusing on the same essential math content they will encounter in their Algebra 2 class. This Lab is not a remedial program. The course is offered during zero (0) period, four (4) morning a week for 30-minutes. Students acquire transferable knowledge in Algebra content allowing them to draw on these experiences with confidence and persistence when they are in their Algebra 2 classroom. This course does not replace the mathematical requirements for graduation.

- Homework Expectation: none
- Year
- 10 Credits

## ALGEBRA 2 - GRADES 11, 12

*Prerequisites: Algebra 1A & 1B and Geometry or Algebra 1 and Geometry with minimum grades of C- for the 1st semester. Placement pending based on 2nd semester grades matching prior requirements.*

Algebra 2 is a year-long course focusing only on Algebra 2 concepts without Trigonometry. Students will extend and deepen their understanding of numerical systems including complex numbers. The emphasis will be on linear, quadratic, polynomials, rational, exponential, and logarithmic functions, with graphs along with modeling practices. Students will also study discrete mathematics of series, probability, and data exploration. This course does not meet the trigonometry prerequisite needed to move into Precalculus or Introduction to College Math.

- Homework Expectation: 50 minutes per day
- Summer assignment required and due on the first day of class
- Year
- 10 Credits
- UC Approved
- NCAA Approved

## ALGEBRA 2/TRIGONOMETRY HONORS - GRADES 9-11

*Prerequisites: All students must meet the state of California graduation requirement for a full year of Geometry course credit before moving into this course. Continuing students must have a minimum B- in the 1st semester of Geometry Honors and a minimum B- on the Algebra quizzes taken throughout the course. Continuing students from Geometry or Accelerated Geometry must have a minimum A- in the 1st semester and a minimum A- on the Algebra quizzes taken throughout the course. Incoming freshman or new students can be placed into this course with a qualifying Math Challenge Exam score after meeting the state of California Geometry graduation requirement at their previous school. Placement pending based on 2nd semester grades matching prior requirements.*

Algebra 2/Trigonometry Honors is an accelerated course that is designed to delve into advanced algebra and trigonometry topics. Students further explore linear and quadratic functions. Students are introduced to polynomial rational, exponential, logarithmic functions, trigonometric functions, identities, and graphs. Very strong first-level algebraic skills are required to further study additional algebraic methods using critical thinking and introductory analysis. This course is designed to cover topics beyond the college prep standards for Algebra 2 and Trigonometry and prepares students for Pre-Calculus Honors.

- Homework Expectation: 1 hour per day
- Summer assignment required and due on the first day of class
- Year
- 10 Credits
- UC Approved
- NCAA Approved

## PRE-CALCULUS - GRADES 10-12

*Prerequisites: Minimum B- in the 1st semester of Algebra 2/Trigonometry or minimum C- in the 1st semester of Algebra 2/Trigonometry Honors or minimum C- in the 1st semester of Intro to College Math. Algebra 2 CP students do not meet the prerequisites for this course. Placement pending based on 2nd semester grades matching prior requirements.*

This course is designed to prepare students to begin their college studies in introductory calculus. This course of study includes functional algebra; linear, quadratic, polynomial, rational, exponential, and logarithmic functions as well as all trigonometric functions including reciprocal and inverse functions. Transformations, analysis, solving equations and inequalities, and modeling functions are also included. Polar, matrices, vectors, sequences, series, and probability, and the concept of limits are also included as topics of study.

- Homework Expectation: 50 minutes per day
- Year
- 10 Credits
- UC Approved
- NCAA Approved

## AP PRECALCULUS - GRADES 10-12

*Prerequisites: Minimum B- in the 1st semester of Algebra 2/Trigonometry Honors or minimum C- in the 1st semester Precalculus. Any student who is not coming from Algebra 2/Trig Honors taken in person at JSerra will be required to take and pass an AP Math Placement Test. Current teacher recommendation required. Placement pending based on 2nd semester grades matching prior requirements.*

This advanced course prepares students to take the College Board AP exam in May. AP Precalculus is a high school level course necessary to prepare for college level mathematics, students must have very strong algebraic skills to further study functional applications and analysis. Functional and geometrical trigonometry topics are extended beyond introductory levels. Students build deep mastery of modeling and functions, and they examine scenarios through multiple representations.

- Homework Expectation: 50 minutes to 1 hour and 15 minutes per day
- Summer assignment required and due on the first day of class
- AP Exam Required: $105 Fee
- Year
- 10 Credits
- UC Approved for Honors
- NCAA Approved

## CALCULUS - GRADES 11, 12

*Prerequisites: Minimum B- in the 1st semester of Pre-Calculus or minimum C- in the 1st semester AP Precalculus. Current teacher recommendation required. Placement pending based on 2nd semester grades matching prior requirements. *

This challenging course covers the elements of beginning college calculus. Topics to be studied include limits, differentiation and integration of polynomial, trigonometric, logarithmic, exponential, and other functions. This course is ideal for students who would like an introduction to calculus for college preparation but without taking a college-level course.

- Homework Expectation: 20 to 35 minutes per day
- Summer assignment required and due on the first day of class.
- Year
- 10 Credits
- UC Approved
- NCAA Approved

## AP CALCULUS AB - GRADES 11, 12

*Prerequisites: Minimum B- in the 1st semester of AP Precalculus or minimum B- in the 1st semester of Calculus. Any student not meeting the requirements from AP Precalculus taken in person at JSerra will be required to take and pass the AP Math Placement Test. Current teacher recommendation required. Placement pending based on 2nd semester grades matching prior requirements.*

AP Calculus AB is designed to be the equivalent of a first semester college calculus course devoted to topics in differential and integral calculus. Students cultivate their understanding of differential and integral calculus through engaging with real-world problems represented graphically, numerically, analytically, and verbally and using definitions and theorems to build arguments and justify conclusions as they explore concepts like change, limits, and the analysis of functions. Before studying calculus, all students should complete the equivalent of four years of secondary mathematics designed for college-bound students: courses that should prepare them with a strong foundation in reasoning with algebraic symbols and working with algebraic structures. Prospective calculus students should take courses in which they study algebra, geometry, trigonometry, analytic geometry, and elementary functions. These functions include linear, polynomial, rational, exponential, logarithmic, trigonometric, inverse trigonometric, and piecewise-defined functions. In particular, before studying calculus, students must be familiar with the properties of functions, the composition of functions, the algebra of functions, and the graphs of functions and understand the language associated with properties of functions and modeling functions.

- Homework Expectation: 50 minutes to 1 hour and 15 minutes per day
- Summer assignment required and due on the first day of class
- AP Exam Required: $105 Fee
- Year
- 10 Credits
- UC Approved for Honors
- NCAA Approved

## AP CALCULUS BC - GRADE 12

*Prerequisites: Minimum B- in the 1st semester of AP Calculus AB with a minimum passing score of 3 on the AP Calculus AB exam. Current teacher recommendation required. Placement pending based on 2nd semester grades matching prior requirements.*

AP Calculus BC is the equivalent of a semester of college Calculus that continues the field of study in Calculus. Topics covered in AP Calculus AB are quickly reviewed before delving into additional Calculus topics. Students study limits, derivatives, definite and indefinite integrals, polynomial approximations and (infinite) series. Though this is considered a study of single-variable calculus, parametric, polar, and vector functions will be studied. This course is designed to qualify the student for placement and credit in a course that is one course beyond that granted for AP Calculus AB.

- Homework Expectation: 50 minutes to 1 hour and 15 minutes per day
- Summer assignment required and due on the first day of class
- AP Exam Required: $105 Fee
- Year
- 10 Credits
- UC Approved for Honors
- NCAA Approved

## STATISTICS - GRADES 11, 12

*Prerequisite: Minimum B- in the 1st semester of Algebra 2/Trigonometry or Algebra 2 CP, (or) minimum C- in the 1st semester of Algebra 2/Trig Honors (or) minimum C- in the 1st semester of Precalculus (or) minimum C- in the 1st semester of Intro to College Math. Placement pending based on 2nd semester grades matching prior requirements.*

This course covers four major topics throughout the school year: producing data, organizing data, probability, and statistical inference. This course will utilize a TI 84 graphing calculator and technology to further explore and develop critical thinking, reasoning, and analytical skills. This course requires frequent written and oral analyses of data. Successful completion of this course prepares students for college-level statistics.

- Homework Expectation: 25 to 50 minutes per day
- Year
- 10 Credits
- UC Approved
- NCAA Approved

## AP STATISTICS - GRADES 11, 12

*Prerequisite: Minimum A- in the 1st semester of Algebra 2/Trigonometry or minimum B- in the 1st semester of Algebra 2/Trig Honors or minimum C- in the 1st semester of Statistics. Placement pending based on 2nd semester grades matching prior requirements.*

AP Statistics is an introductory college-level statistics course that introduces students to the major concepts and tools for collecting, analyzing, and drawing conclusions from data. Students cultivate their understanding of statistics using technology, investigations, problem solving, and writing as they explore concepts like variation and distribution; patterns and uncertainty; and data-based predictions, decisions, and conclusions.

- Homework Expectation: 50 minutes to 1 hour per day
- AP Exam Required: $105 Fee
- Year
- 10 Credits
- UC Approved for Honors
- NCAA Approved

## Financial Algebra - GRADE 11, 12

*Prerequisite: Algebra 1A & 1B and Geometry or Algebra 1 and Geometry with minimum grades of C- for the first semester in each course. Placement pending based on second semester grades matching prior requirements.*

This course prepares students to think logically and critically about finances, both for the home and in their professional life. Students will learn to analyze real-world business problems and apply appropriate mathematical principles. Course content includes accounting principles, personal finance, marketing, purchasing, loan applications, financial and corporate planning, and financial accounting practice.

- Homework Expectation: 25 minutes per day
- 2 Semesters (single semester can be taken)
- 5 Credits each semester
- UC Approved
- NCAA Approved

## INTRODUCTION TO COLLEGE MATH - GRADES 11, 12

*Prerequisite: Minimum C- in the 1st semester of Algebra 2/Trigonometry. Algebra 2 CP students do not meet the prerequisites for this course. Placement pending based on 2nd semester grades matching prior requirements.*

This course is designed for students who have taken three years of mathematics (Algebra 1, Geometry, Algebra 2) and provides another year of mathematics. Introduction to College Math will prepare students for college mathematics and college placement exams. Students will develop the ability to transform functions, describe the behavior of functions, solve polynomial equations, graph a variety of functions, and develop a thorough understanding of rational and irrational numbers. The course not only provides students with application in mathematics but also provides a solid foundation for trigonometry and pre-calculus. Graphing calculators are required to enhance the understanding of algebraic concepts.

- Homework Expectation: 25 minutes per day
- Year
- 10 Credits
- UC Approved
- NCAA Approved