Topics taught in this course will emphasize functions, polynomials & factoring, quadratic equations and statistics, with a brief review of graphing linear equations and solving systems.
This course is designed to teach the fundamentals of both plane and solid geometry, with a strong emphasis on transformation and constructions.. Geometry is the study of the measurements, properties and relationships of points, lines, angles, triangles, quadrilaterals, circles, and the nature of deductive and inductive proofs.
This course is designed to teach higher level Algebra topics including rational exponents, quadratic inequalities, binomial theorem, functions, exponential and logarithmic equations, complex numbers, and probability. This course meets the UC/CSU math requirement.
Algebra 2 Plus
This course is intended to give students additional content needed to succeed in upper level math courses. It includes all standards from Algebra 2, plus Law of
Sines/Cosines, and precalculus preparation topics.
This course covers typical second year Algebra topics such as solving absolute value inequalities and radical equations along with systems of equations involving three variables. Application problems are an essential part of the course. The graphing of conic sections and several types of functions including exponential functions will also be covered. Function notation, domain, range, and determining if a relation is a function will be explored. Students must complete Algebra I and Geometry with a grade of C or better before enrolling in this course. This course meets the UC/CSU math requirement for Algebra 2 equivalency.
Mathematical Reasoning with Connections (MRWC) is designed as a fourth-year, advanced mathematics course following Algebra 1, Geometry, Algebra 2, sequence of courses. The MRWC course is designed to prepare students for college-level mathematics including pre-calculus, calculus, and other quantitative reasoning courses; the course satisfies the “c” Advanced Mathematics requirement for UC “a-g” criteria. Based on the Common Core State Standards, MRWC is structured to highlight conceptual connections in the more advanced study of topics leading to calculus. Emphasis is given to conceptual understanding and making connections between numerical, symbolic, verbal, and graphical representations, discussion and analysis of alternative representations and multiple perspectives for approaching and understanding. The distinctiveness of MRWC lies in its unique design and topic sequencing, and in the emphasis on instructional delivery that promotes exploratory and collaborative student engagement. MRWC seamlessly interweaves the CCSS Mathematical Practices throughout the curriculum and develops key Habits of Mind and a mathematical disposition required for mastering advanced, challenging college-level content knowledge.
Statistics is the science (and art) of learning from data. Data are numbers, but not “just numbers”, they are numbers with context. We will explore four general themes throughout this course: Exploring Data, Sampling and Experimentation, Anticipating patterns and Statistical Inference. AP Statistics is a math class not calculation intensive, but will challenge the intellect. A graphing calculator is heavily relied upon, so it important to feel at ease with technology.
Students will be reintroduced to conic sections, factoring, polynomials, functions, and inequalities. Trigonometry will be studied as curricular functions and as ratios of sides of a triangle. Related topics include radian and degree measure, graphs of trigonometric functions. Methods for solving trigonometric equations will be explored. Exponential and logarithmic functions will be reintroduced.
Advanced Algebra with Financial Applications
Advanced Algebra with Financial Applications (AAFA) is a mathematical modeling course that is algebra-based, applications-oriented, and technology-dependent. The course addresses college preparatory mathematics topics from Advanced Algebra, Statistics, Probability, Precalculus, and Calculus under eleven financial umbrellas: Discretionary Expenses, Banking Services, Consumer Credit, Automobile Ownership, Employment Basics, Income Taxes, Independent Living, The Stock Market, Modeling a Business, Planning for Retirement, and Preparing a Budget. The course allows students to experience the interrelation of mathematical topics, find patterns, make conjectures, and extrapolate from known situations to unknown situations. Students are encouraged to use a variety of problem-solving skills and strategies in real-world contexts, and to question outcomes using mathematical analysis and data to support their findings. The course offers students multiple opportunities to use, construct, question, model, and interpret financial situations through symbolic, algebraic, graphical, geometric, and verbal representations. It provides students a motivating, young-adult centered financial context for understanding and applying the mathematics they are guaranteed to use in the future.
Calculus AB is a college level course in beginning Calculus. Topics include limits, derivatives, and integration concepts; techniques and application of derivatives, techniques and applications of integration and an introduction to differential equations. Students will work with functions graphically, analytically, numerically, and through writing. AP requires the use of a graphing calculator for part of the course.
Calculus BC is a college level course continuing the study of Calculus beyond Calculus AB. Topics include limits, derivatives and integration concepts; techniques and applications of derivatives, techniques and applications of integration, including the study of Calculus with Polar, Parametric, and Vector functions. Also included will be a study of the Calculus in Series and Taylor polynomials and an introduction to differential equations. Students will work with functions graphically, analytically, numerically, and through writing. AP requires a graphing calculator for part of the course.
CSUSM: MATH 260 (4 units): Calculus with Applications III Differential and integral calculus of functions of several variables: three dimensional analytic geometry, vector calculus, partial derivatives, multiple integrals, line integrals, applications, and historical perspectives.
Mathematics SL is designed for the individual that does not have a strong interest in going into a field having a heavy concentration in mathematics (such as engineering), but rather into fields requiring knowledge of mathematics but not a theoretical basis of knowledge. Such fields are chemistry, psychology, economics, and business administration . Topics include statistics & probability, circular functions, trigonometry, vectors, matrices and calculus. Students going into the SL program still should have a proficient background in basic mathematical concepts, and should possess skills needed to apply simple mathematical techniques correctly. They should also be more independent and responsible than the typical student so that success will be more probable when confronted with the portfolio problems (Type 1 and 2).
HL (Higher Level)
Mathematical HL is designed for the student that plans on pursuing a career in mathematics or a field that requires a heavy concentration of mathematics. The emphasis of the course is on developing a deep understanding of mathematical concepts enabling the student to use the skills proficiently, develop links between various concepts, and justify their mathematics in proofs. A student leaving this course should be equipped to pursue further work in many areas of mathematics. The various topics that are covered in Mathematics HL are: algebra, functions and equations, circular functions and trigonometry, matrices, vectors, statistics and probability, calculus, sets, relations, and groups, series and differential equations, and discrete mathematics. The topics listed by the IBO for Mathematics HL are actually covered over a 4 year span in the courses of Pre IB Algebra 2, Pre IB Pre Calculus, Calculus BC, and Mathematics HL.The goal is to allow students to develop a strong background in mathematics so that they are prepared to pursue a degree in mathematics or start work in a field that relies heavily on mathematics.