Mathematics
Math Department
Algebra Fundamentals
Grades: 9-12
Graduation Requirement: Math
A-G: No
In Algebra Fundamentals, we will review the skills necessary to be successful in Algebra and the aspects of life that are best approached by those with a quick mathematical wit. More importantly, this class is intended to invigorate your interest in mathematics by instilling confidence and exploring useful techniques applicable to the bustle of daily life.
Algebra 1
Algebra is an introduction to the power of mathematical abstractions and symbolisms. In this course, students develop an understanding of variables, variable expressions, equations, and inequalities. A variety of methods are used to solve linear equations, nonlinear equations, quadratics, and inequalities. A balanced approach of formal and informal investigations will help students to present solutions to traditional and real-world problems. Students are taught graphing which presents a pictorial representation of problems and tools to interpret expressions, equations and inequalities.
Grades: 9-12
Graduation Requirement: Algebra 1/Math
A-G: C
Geometry
Grades: 9-12
Graduation Requirement: Math
A-G: C
Students will be able to: 1. recognize and solve problems with the different geometric figures and their related formulas 2. write conditional statements and work with formal logic 3. write formal proofs in standard form 4. demonstrate knowledge of the properties of triangles, parallelograms, rectangles, squares, and trapezoids 5. use the properties of similarity to solve problems 6. replicate basic geometric constructions. This course in the basic preparatory sequence teaches relationships between points, lines and planes, in addition logic, plane geometry, and solid geometry. A scientific calculator is required.
Advanced GeometryGrades: 9-12
Graduation Requirement: Math
A-G: C
The fundamental purpose of the California State Standards Geometry Advanced course is to formalize and extend the mathematics that students learned in the middle grades. This is an accelerated, rigorous mathematics course which includes content standards from the conceptual categories of Congruence, Similarity, Right Triangles and Trigonometry, Circles, Expressing Geometric Properties with Equations, Geometric Measurement and Dimension, Conditional Probability, Rules of Probability and Using Probability and Statistics. Through the application of the Standards for Mathematical Practice, students will increasingly engage with the subject matter and grow in mathematical maturity and expertise.
Financial Analysis
Grades: 9-12
Graduation Requirement: Math
A-G: No
Learn the basics of money management in order to graduate high school on the right foot financially. We will discuss the many expenses of ‘adult life’, such as taxes and insurance, how to manage them, and how to achieve a more fulfilling life. Some other topics covered are investing, financing, building credit, budgeting and retirement.
Algebra 2
Grades: 9-12
Graduation Requirement: Math
A-G: C
An objective of the course is to have the student feel comfortable using algebra and Mathematics to represent and solve problems, and to see the importance of mathematics in today's world. Students will understand their potential to continue in mathematics and related fields. Students will also learn how to work together with others with a goal in mind, how to learn from peers, and how to help instruct peers.
This third course in the college preparatory sequence (Intermediate Algebra) teaches advance algebraic concepts including irrational and complex numbers, quadratic relations, conic sections, exponential and logarithmic functions, sequences and series, triangle trigonometry, trigonometric graphs, identities, and applications, and statistics and probability. A scientific calculator is required.
Precalculus (H)
Grades: 9-12
Graduation Requirement: Math
A-G: C
This course is a prerequisite for AP Calculus and is designed for college-bound students interested in math and science. Students will engage in an in-depth study of Common Core Standards for Mathematics. Topics will include: equations, functions, families and their graphs, rational, polynomial, exponential, logarithmic, and trigonometric functions, trigonometric identities and applications, vectors, polar and parametric equations, and the study of limits.
AP Calculus AB and BC (H)
Grades: 10-12
Graduation Requirement: Math
A-G: C
AP Calculus AB and AP Calculus BC focus on students’ understanding of calculus concepts and provide experience with methods and applications. Through the use of big ideas of calculus (e.g., modeling change, approximation and limits, and analysis of functions), each course becomes a cohesive whole, rather than a collection of unrelated topics. Both courses require students to use definitions and theorems to build arguments and justify conclusions. The courses feature a multi representational approach to calculus, with concepts, results, and problems expressed graphically, numerically, analytically, and verbally. Exploring connections among these representations builds understanding of how calculus applies limits to develop important ideas, definitions, formulas, and theorems. A sustained emphasis on clear communication of methods, reasoning, justifications, and conclusions is essential. Teachers and students should regularly use technology to reinforce relationships among functions, to confirm written work, to implement experimentation, and to assist in interpreting results.