Mathematics Courses

Recommended Prerequisite:  Math 8

Integrated Mathematics 1 uses properties and theorems involving congruent figures to deepen and extend understanding of geometric knowledge from prior grades. The critical areas organized into units deepen and extend understanding of linear relationships. The Mathematical Practice Standards together with the content standards prescribe that students experience mathematics as a coherent, useful, and logical subject that makes use of their ability to 

make sense of problem situations. This course meets the UC/CSU “c” Mathematics requirement.

Recommended Prerequisite:  Integrated Mathematics 1a-1b

The focus of Integrated Mathematics II is on quadratic expressions, equations, and functions. The link between probability and data is explored through conditional probability and counting methods, including their use in making and evaluating decisions. The study of similarity leads to an understanding of right triangle trigonometry and connects to quadratics through Pythagorean relationships. Circles with their quadratic algebraic representations round out the course. The Mathematical Practice Standards together with the content standards prescribe that students experience mathematics as a coherent, useful, and logical subject that makes use of their ability to make sense of problem situations. This course meets the UC/CSU “c” Mathematics requirement.

Recommended Prerequisite:  Integrated Mathematics 2a-2b

In Integrated Mathematics III students apply the accumulation of learning from previous courses, with content grouped into four critical areas. They apply methods from probability and statistics to draw inferences and conclusions from data. Students expand their repertoire of functions to include polynomial, rational, and radical functions. They expand their study of right triangle trigonometry to include general triangles. Students bring together all of their experience with functions and geometry to create models and solve contextual problems. The Mathematical Practice Standards together with the content standards prescribe that students experience mathematics as a coherent, useful, and logical subject that makes use of their ability to make sense of problem situations. This course meets the UC/CSU “c” Mathematics requirement.

Integrated Math 3 completed

In this advanced mathematics 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. This course meets the UC requirement “c”  for Mathematics.

Recommended Prerequisites:  “C” or higher in Integrated Math 3.

Pre-Calculus 1-2 is designed for the advanced college-preparatory student and will provide the foundation for students to proceed into Calculus.  The major content will focus on:  functional and graphical analysis, exponential, polynomial, rational and logarithmic functions, and circular and trigonometric functions.  This course meets the UC/CSU “c” Mathematics requirement.

Recommended Prerequisite:  "C" or higher in AP Pre-Calculus and teacher recommendation

Advanced Placement Calculus AB 1-2 is designed for students who have completed the equivalent of four years of college preparatory mathematics.  Students apply skills and information acquired in previous math courses.  Topics introduced include development of limits and derivative, differentials, integration, and applications of the derivative and integral.  This course specifically prepares the student to take the College Board Advanced Placement Exam for Calculus AB.  Students are required to have daily access to a graphing calculator.  NOTE: Some students may qualify for Calculus BC, but only at the discretion of the calculus instructor.  This course meets the UC/CSU “c” Mathematics requirement.

Recommended Prerequisite: "C" or higher in Calculus AB and teacher recommendation

Advanced Placement Calculus BC 1-2 is designed for students who have completed four years of college preparatory mathematics including Calculus AB.  Topics include: definition of limits, parametric equations, vector functions, Euler’s Method, logistic growth, slope fields, indeterminate forms, polar curves, advanced techniques of integration, infinite series, and differential equations.  This course specifically prepares the student to take the College Board's Advanced Placement Exam for Calculus BC.  Students are required to have daily access to a graphing calculator.  This course meets the UC/CSU “c” Mathematics requirement.

Recommended Prerequisite:  "C" or higher in Integrated Math 3

This course is designed to introduce students to the major concepts and tools for collecting, analyzing, and drawing conclusions from data.  Topics introduced include the exploratory analysis of data and numerical techniques to study patterns, methods of valid data collection, probability, and confirming models through statistical inference.  Students are required to have daily access to a graphing calculator, preferably a TI-84 Plus or TI Nspire.  This course specifically prepares students for the Advanced Placement Exam in Statistics.  This course meets the UC/CSU “c” Mathematics requirement.

Recommended Prerequisite:  “C” or higher in Integrated Math 3

This is a college prep course which will focus on topics such as advanced algebra, advanced geometry, trigonometry, and mathematical modeling.  This will strengthen conceptual understanding needed for successful transition and completion of a 4-year college/university mathematics program.  One of the assessment measures for enrollment in a college level math course will be a passing score on the ELM.  Graphing calculators will be used frequently.  This course meets the UC/CSU “c” Mathematics requirement.

Consumer Math is a class designed to teach students the skills needed for math problems in everyday living.  It includes a review of arithmetic skills and practical problems encountered by the consumer, wage earner, and taxpayer. This course receives elective credit, not math credit, and can be taken as a single quarter or two quarter class. 

AP Precalculus prepares students for other college-level mathematics and science courses. Through regular practice, students build deep mastery of modeling and functions, and they examine scenarios through multiple representations. The course framework delineates content and skills common to college precalculus courses that are foundational for careers in mathematics, physics, biology, health science, social science, and data science.