Mathematics

Course Title: Integrated Math 1 (P)

Course Number: 3267-3268

Grade Level: 9-12

Elective/Required: Required

Length/Credits: Year/10 credits

Prerequisites: None

Meets UC/CSU A-G category: “C” Mathematics

Course Description: Integrated Mathematics Course I is the first of three mathematics courses required for college entrance. The course content includes: functions; algebra; geometry; statistics; probability; discrete mathematics; measurement; number; logic; and language. The course emphasizes mathematical reasoning, problem solving, and communication through the integration of the various mathematics strands, connections with other subject areas and real-life applications, use of technology, and exploratory and group activities. The course emphasizes algebra and builds a geometry foundation. The topics are spiraled throughout the course, so that students continually build on what they have previously learned. Integrated Mathematics develops a clear understanding of mathematical content and develops strong problem solving skills, active involvement in learning, the study of meaningful mathematics, to see connections among different branches of mathematics, and by trying a wide variety of types of problems, including real-world applications and long-term project.

Course Title: Integrated Math 2 (P)/Integrated Math 2 Honors (P)

Course Number: 3270-3271, 3272-3273 (Honors)

Grade Level: 9-12

Elective/Required: Required

Length/Credits: Year/10 credits

Prerequisites: C or higher in Integrated Math 1

Meets UC/CSU A-G category: “C” Mathematics

Course Description:  The focus of the Integrated Mathematics 2 course is quadratic expressions, equations, and functions; comparing their characteristics and behavior to those of linear and exponential relationships from Mathematics 1, as well as geometry and probability. This course includes standards from the conceptual categories of Number and Quantity, Algebra, Functions, Geometry, and Statistics and Probability. Some standards are repeated in multiple higher mathematics courses. The Mathematics 2 course focuses instructional time on five critical areas: (1) extend the laws of exponents to rational exponents and explore relationships between number systems; (2) compare key characteristics of quadratic functions with those of linear and exponential functions and select appropriate functions to model phenomena; (3) create and solve equations and inequalities involving linear, exponential, and quadratic expressions; (4) use similarity to solve problems, and apply similarity in right triangles to understand right triangle trigonometry, and special right triangles; develop facility with geometric proof, circles, and volume; and (5) extend work with probability to compute and interpret theoretical and experimental probabilities for compound events, and use probability to make informed decisions.

Course Title: Integrated Math 3 (P)/Integrated Math 3 Honors (P)

Course Number: 3274-3275, 3290-3291 (Honors)

Grade Level: 10-12

Elective/Required: Required

Length/Credits: Year/10 credits

Prerequisites: C or higher in Integrated Math 2

Meets UC/CSU A-G category: “C” Mathematics

Course Description:  Integrated Math 3 completes the three-course sequence of Integrated Mathematics and is designed to further explore the principles introduced in Math 1 and Math 2 in preparation for enrolling in advanced mathematics courses.  This course brings together knowledge acquired in the previous two courses and uses it as a bridge to expand into more complex territory. Students will expand their knowledge of linear, exponential, and quadratic functions to polynomials, rationals, and trigonometric functions.  Students will also extend their previous work with circles to other conic sections, their understanding of trigonometry to all triangles, and experiences with data as they solve sophisticated problems.  Students will experience mathematics as a coherent, useful, and logical subject that draws their ability to make sense of problem situations, and will develop the ability to explore and solve mathematical problems, think critically, and work cooperatively with other students and communicate mathematical ideas clearly. 

Course Title:  Statistical Reasoning in Sports (P)

Course Number: 3294 -3295

Grade Level:  11–12

Elective/Required: Elective

Length/Credits: Year/10 credits

Prerequisites: D or higher in Integrated Math 2

Meets UC/CSU A-G category: “C” Mathematics

Course Description:  This course teaches students how to use the four-steps statistical process in the context of sports: ask questions, collect data, analyze data and draw conclusions. Each chapter will begin with a sports-related statistical question (e.g., Is there a home field advantage in the NFL?). Students will then learn how to collect appropriate data, how to analyze it and draw reasonable conclusions. Although the context of the examples and exercises are sports related, the primary focus of the class is to teach students the basic principles of statistical reasoning. 

Course Title: Data Science

Course Number: Pending

Grade Level(s): 11-12

Length/Credits: Two semesters/10 credits

Prerequisite(s): Integrated Math 2

Meets UC/CSU A-G category: "C" Mathematics

Course Description: In this course students will learn to understand, ask questions of, and represent data through project-based units. The units will give students opportunities to be data explorers through active engagement, developing their understanding of data analysis, sampling, correlation/causation, bias and uncertainty, modeling with data, making and evaluating data-based arguments, and the importance of data in society. At the end of the course, students will have a portfolio of their data science work to showcase their newly developed knowledge and understanding. The curriculum will be adaptable so that teachers can either use the data sets provided or bring in data sets most relevant to their own students. This data science course will provide students with opportunities to understand the data science process of asking questions, gathering and organizing data, modeling, analyzing and synthesizing, and communicating. Students will work through this process in a variety of contexts. Students learn through making sense of complex problems, then through an iterative process of formulation and reformulation coming to a reasoned argument for the choices they will make. All of the Standards of Mathematical Practice (SMP) will be addressed in this course. This course is dependent upon the use and application of a variety of technologies. The appropriate and strategic use of these tools will be demonstrated and required throughout the course. This course has several opportunities for students to develop their explanatory writing skills across multiple platforms. Communication at every stage of the data science process is key in making sense of a context, its data, interpretation, and story. Students will revise and refine their writing using self, peer, and teacher feedback. 

Course Title: AP Pre-Calculus (P)

Course Number: 

Grade Level: 11-12

Elective/Required: Elective

Length/Credits: Year/10 credits

Prerequisites: C or higher in Integrated Math 3

Meets UC/CSU A-G category: “C” Mathematics

Course Description:  The fundamental purpose of the Pre-Calculus course is to build on the trigonometric, geometric, and algebraic foundations needed to prepare for the study of Calculus.  This course includes standards from the conceptual categories of Number and Quantity, Algebra, Functions, Geometry, Statistics and Probability, and Calculus.  Facility with these concepts is especially important for students intending to prepare for a STEM-related career (Science, Technology, Engineering and Mathematics).   The four critical focus areas are: (1) develop further understanding of polynomial, logarithmic and exponential functions; (2) develop an understanding of trigonometric functions and the use of trigonometric properties to solve problems; (3) understand the use of vector properties to solve vector-related problems; and (4) develop the concept of limit.   

Course Title: AP Statistics (P)

Course Number: 3310-3311 

Grade Level: 11–12 

Elective/Required: Elective 

Length/Credits: Year/10 credits 

Prerequisites: B or higher in Integrated Math 3 with a grade of "B" or better 

Meets UC/CSU A-G category: “C” Mathematics Course 

Description: This course provides college-level work in statistics and will also include the topics of data, probability and interdisciplinary application. Technology will be an integral part of this course. The course will focus on four broad conceptual themes: 1. Exploring Data: Observing patterns and departures from patterns. 2. Planning a Study: Deciding what and how to measure. 3. Anticipating Patterns in Advance: Introducing probability & simulation. 4. Inferential Reasoning: Confirming models. A summer project may be required for this class. 

Course Title: AP Calculus AB (P)

Course Number: 3306-3307

Grade Level: 11-12

Elective/Required: Elective

Length/Credits: Year/10 credits

Prerequisites: C or higher in Precalculus

Meets UC/CSU A-G category: “C” Mathematics

Course Description:  Advanced Placement Calculus AB is primarily concerned with developing student understanding of the essential concepts of calculus and providing experience with its methods and applications. The course emphasizes a multi-representational approach to calculus, with concepts, results, and problems being expressed geometrically, numerically, analytically, and verbally.

Course Title: Mathematics for Personal Finance (P)

Course Number: 3296-3297

Grade Level: 10-12

Elective/Required: Required

Length/Credits: Year/10 credits

Prerequisites: D or higher in Integrated Math 2

Meets UC/CSU A-G category: “G” Elective

Course Description: Mathematics for Personal Finance 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 and Probability, under four financial umbrellas: “Saving and Budgeting”, “Credit and Debt”, “Financial Planning and Insurance”, and “Income, Taxes and Giving”. The course allows students to experience the interrelatedness of mathematical topics, find patterns, make conjectures, and extrapolate from known situations to unknown situations. The mathematics topics contained in this course are introduced, developed, and applied in an as-needed format in the financial settings covered. 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, and verbal representations