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AP CALCULUS AB
An advanced placement course designed for university preparatory students. This course provides instruction in the concepts of limits, continuity, derivatives, and anti-derivatives of algebraic functions. The basic concepts in algebra set theory and trigonometry are reviewed briefly before they are used to study limits. Students taking Calculus AB are expected to take Calculus BC.
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AP CALCULUS BC
Calculus BC is a full-year course in the calculus of functions of a single variable. It includes all topics covered in Calculus AB plus additional topics. Both courses (AP Calculus AB and BC) represent college-level mathematics for which most colleges grant advanced placement and credit. The content of Calculus BC is designed to qualify the student for placement and credit in a course that is one course beyond that granted for Calculus AB. The curriculum is based on the College Board guidelines. Topics included are: functions and graphs, techniques and applications of derivatives and integration, polynomial approximations, and Taylor and Maclaurin series.
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AP STATISTICS
This course is equivalent to a non-Calculus Introduction to Statistics course in college. The main concepts include: data analysis (10%), experimental design (10%), linear regression (10%), probability (30%), and inference (40%). There are also projects each quarter that will require time outside of class where the students will need to work in groups to complete presentations and displays. All students will take the final exam in the beginning of May (a released AP test) and are encouraged to take the AP Statistics Exam to earn college credits.
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*AP PRE-CALCULUS
An advanced placement course designed for university preparatory students. Students will learn the skills and proficiencies necessary to be successful in Advanced Placement Calculus. The areas of study include: the fundamentals of college-level algebra, geometric and algebraic interpretations of functions and inverse functions, linear and quadratic inequalities, rational functions, exponential and logarithmic functions and their applications, conic sections, matrices, an introduction to limits, polar and trigonometric functions and their properties. *Pending approval.
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DATA SCIENCE
Data Science will teach students how to understand and represent data through project-based units. Students will become data explorers through active engagement in projects that grow their understanding of data sampling, analysis, correlation, causation, bias and uncertainty in data, and in making data-based arguments. In a world that is increasingly data-driven, this course will also show how data affects real-world challenges and situations. Students will develop a portfolio of their data science work so that they can showcase their knowledge and skills to both colleges and to prospective employers. Students need to have passed Integrated Math 2 in order to take this course, but students can also take this class after passing Integrated Math 3 if they choose. The University of California has approved Data Science courses to satisfy both 3rd and 4th-year math requirements.
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COMMON CORE INTEGRATED MATHEMATICS 1
Integrated Mathematics 1 is the first of an integrated mathematics program designed to use patterns, modeling, and conjectures to build understanding and competency in mathematics. Students will be engaged with the subject matter using the Common Core State Standards for Mathematical Practice. This course addresses each of the conceptual categories outlined by the California Common Core State Standards: Number and Quantity, Algebra, Functions, Geometry, and Statistics and Probability. Topics of study include: patterns and sequences, linear and exponential functions, features of functions, equations and inequalities, systems of equations, rigid motion and congruence, coordinate geometry, and statistics.
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COMMON CORE INTEGRATED MATHEMATICS 2
Integrated Mathematics 2 is the second of an integrated mathematics program designed to use patterns, modeling, and conjectures to build understanding and competency in mathematics. Students will be engaged with the subject matter using the Common Core State Standards for Mathematical Practice. This course addresses each of the conceptual categories outlined by the California Common Core State Standards: Number and Quantity, Algebra, Functions, Geometry, and Statistics and Probability. Topics of study include: quadratic functions, structures of quadratic functions, solving quadratic equations, geometric figures, similarity and right triangle trigonometry, triangle congruence, and probability.
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COMMON CORE INTEGRATED MATHEMATICS 3
Integrated Mathematics 3 is the third of an integrated mathematics program designed to use patterns, modeling, and conjectures to build understanding and competency in mathematics. Students will be engaged with the subject matter using the Common Core State Standards for Mathematical Practice. This course addresses each of the conceptual categories outlined by the California Common Core State Standards: Number and Quantity, Algebra, Functions, Geometry, and Statistics and Probability. Topics of study include: functions and their inverses: polynomial, logarithmic and exponential functions; trigonometric equations; modeling with geometry: and statistics.
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ACCESS TO INTEGRATED MATH 1
This course includes standards from both 8th Grade Common Core Math Standards and Common Core Integrated Math 1 to provide the support needed for student success in the Common Core Integrated Math Pathway. Included are the conceptual categories of Number and Quantity, Algebra, Functions, Geometry, and Statistics and Probability. More specifically, units will develop functions and systems, data and modeling, as well as congruence, proof, constructions, and coordinates.
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COLLEGE ALGEBRA
College Algebra is a one-term course designed for students to learn the knowledge and skills necessary to perform successfully in Pre-Calculus or AP Statistics. Students will work on becoming proficient in the following areas: Equations and Inequalities, Functions and Graphs, Conics, Polynomials, Exponentials and Logarithms, Trigonometric Functions, Analytic Trigonometry, Systems of Equations and Inequalities, and Intro to Statistics. This course is designed to lead to higher levels of math, such as AP Statistics.
