This course includes Common Core State Standards and presents math as a coherent subject, mixing standards from the conceptual categories of Number and Quantity, Algebra, Functions, Geometry, and Statistics and Probability. Integrated Mathematics I course will focus on six critical areas: (1) extend understanding of numerical manipulation to algebraic manipulation; (2) synthesize understanding of function; (3) deepen and extend understanding of linear relationships; (4) apply linear models to data that exhibit a linear trend; (5) establish criteria for congruence based on rigid motions; and (6) apply the Pythagorean Theorem to the coordinate plane.
In Common Core Integrated Mathematics 2, students will solve problems that have real-world context that involve an introduction to proofs, congruency, line and angle properties, transformations, trigonometry, quadratics, real and imaginary number systems, inverse functions and probability. The adopted textbook is very context and real-world problem driven; nearly all sections are motivated and taught through a real-life situation or simulation and mathematics is used to model, investigate and solve the problem presented.
In Common Core Integrated Mathematics 3, students will solve problems that have real-world context that involve quadratic functions, polynomial functions, expressions and equations, rational functions and equations, radical functions, exponential and logarithmic functions and equations and trigonometric functions. The adopted textbook is very context and real-world problem driven; nearly all sections are motivated and taught through a real-life situation or simulation and mathematics is used to model, investigate and solve the problem presented.
Designed for the college bound student who may need to take a college calculus course. Students will work on becoming proficient in the following areas: fundamentals of college level algebra, geometric and algebraic interpretations of functions, linear and quadratic inequalities, rational functions, exponential and logarithmic functions and their applications, and trigonometric functions and their properties.
Pre-Calculus is a one-term course designed for college-prep students who will learn the knowledge and skills necessary to perform successfully in Calculus. Students will work on becoming proficient in the following areas: the fundamentals of college-level algebra, geometric and algebraic interpretations of functions, linear and quadratic inequalities, rational functions, exponential and logarithmic functions and their applications, discreet mathematics, and trigonometric functions and their properties. Students will do in-depth work on limits as well.
An advanced placement, college-level 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.
The second course of Calculus includes the study of definite integrals, differentiation and integration of trigonometric, logarithmic, and inverse functions. A score of 3, 4, or 5 on the AP Exam enables students to receive college credit in calculus at selected colleges or universities. This is a year long course with Calculus AB.
AP Statistics is a one-term course in statistics. The course is designed to introduce students to the major concepts and tools for collecting, analyzing, and drawing conclusions from data. Students are exposed to four broad conceptual themes: exploring data, planning a study, probability and statistical inference. Students who successfully complete the course and examination may receive credit and/or advanced placement for a one-semester introductory college statistics course. This course is available for students who want to expand their mathematical knowledge past Algebra 2, but do not necessarily plan on taking the Calculus courses.
Designed for college preparatory seniors who scored “not-ready” or “conditional” on the Early Assessment Program (EAP). Course topics include problem solving, linear, quadratic, exponential, logarithmic, absolute value, and piecewise functions, finance, and systems of equations and inequalities. This course provides a path for students to strengthen understanding of mathematical content defined by Common Core Standards. In addition, completion of this course allows students to enroll in college level math course at Sierra College without a placement test.