Mathematics
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 Oakmont High School
 Mathematics Department
The Oakmont HS Mathematics Department seeks to provide an excellent mathematics education for all students. We work together with our mathematics standards to develop units of study and lessons that are challenging and meaningful. The area of mathematics has so many connections to everyday life and other subjects. Math is often mistaken as just a subject with various formulas and procedures. Mathematics also is a subject built on patterns. Many areas of mathematics were developed due to its connections to areas of the sciences. We provide an environment for students to develop their problem solving, communication, and reasoning skills. The mathematics department is committed to developing critical thinkers and problem solvers.

Common Core Integrated Math 1
This course includes the standards from the Common Core State Standards. Included are the conceptual categories of Number and Quantity, Algebra, Functions, Geometry, and Statistics and Probability. Topics of study include: writing expressions and equations to describe numbers and relationships; solve and graph linear and exponential functions; model linear functions; solve, graph and model systems of equations; summarize, represent and interpret data; use transformations to understand congruence; use geometric constructions to understand geometric properties; and use coordinate geometry to prove geometric theorems. This course is pending board approval.

Common Core Integrated Math 2
This course includes the standards from the Common Core State Standards. Included are the conceptual categories of Number and Quantity, Algebra, Functions, Geometry, and Statistics and Probability. Topics of study include: laws of exponents; key characteristics of quadratic functions compared with those of linear and exponential functions; creating and solving equations and inequalities involving linear, exponential, and quadratic expressions; probability; and similarity of triangles based on dilation's and proportional reasoning.

Common Core Integrated Math 3
This course includes the standards from the Common Core State Standards. Included are the conceptual categories of Number and Quantity, Algebra, Functions, Geometry, and Statistics and Probability. Topics of study include: statistics involving data distributions, connecting characteristics and behaviors of polynomial functions; analyze, graph, and transform rational functions, radical functions, and trigonometry functions with and without technology; build an understanding and fluency with exponential and logarithmic functions; and composition of functions.

ESM Senior Math Experience
This course is for college preparatory seniors. 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. For students entering California State University at Sacramento (CSUS) who score “conditional” on the EAP test, successful completion of this course eliminates the ELM testing requirement.

PreCalculus
PreCalculus is a oneterm 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 collegelevel 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 more indepth work on limits.

AP Calculus AB
An advanced placement course designed for university preparatory students. This course provides instruction in the concepts of limits, continuity, derivatives, and antiderivatives of algebraic functions. The basic concepts in algebra set theory and trigonometry are reviewed briefly before they are used to study limits. As a condition of your enrollment in an Advanced Placement course at OHS students are expected to take the AP Exam offered in May.

AP Calculus BC
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. As a condition of your enrollment in an Advanced Placement course at OHS students are expected to take the AP Exam offered in May.

AP 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 onesemester introductory college statistics course. As a condition of your enrollment in an Advanced Placement course at OHS students are expected to take the AP Exam offered in May.

IB Mathematics SL 1
Students will study the properties of graphs of polynomials, rational, exponential, logarithmic and trigonometric functions, properties of elementary functions, including trigonometry and logarithms, statistical analysis, and collegelevel differential and integral calculus. Students will learn how to explain and write mathematically and explore realworld application problems of mathematics.

IB Mathematics SL 2
This course is a continuation of IB Mathematics SL 1. Students will study the properties of graphs of polynomials, rational, exponential, logarithmic and trigonometric functions, properties of elementary functions, including trigonometry and logarithms, statistical analysis, and collegelevel differential and integral calculus. Students will learn how to explain and write mathematically and explore realworld application problems of mathematics.

IB Mathematics HL 1
This course is for students with a good background in mathematics and who are competent in a range of analytical and technical skills. Most students will be expecting to include mathematics as a major component of their university studies, either as a subject in its own right or within courses such as physics, engineering and technology. Others may take this subject because they have a strong interest in mathematics and enjoy meeting its challenges and engaging with its problems. Students will study algebra, functions, trigonometry, matrices, vectors, statistics and probability, calculus, and series and differential equations.

IB Mathematics HL 2
This course is a continuation of IB Math HL 1. Please refer to the Math HL 1 course description.