Courses

Integrated Math 1

Course Description:  Core Connections Integrated l is the curriculum used in this course.  Integrated l is the first year of a three-year course progression in which students will discover the concepts of algebra, geometry and statistics with an overall theme of problem solving. Students will be expected to work in small groups and partnerships. In order to be successful learners, there will be a strong emphasis on community and team building skills. Students need a grade of C or better to be promoted to the next math course. If a student falls below this grade at the end of each semester, he/she will have to repeat this course the following school year, doubling up on their math courses, in order to ensure all credits are met for high school graduation. 


Course Objectives:  The students will work in teams completing problems and activities that will help each student discover mathematical ideas, concepts and essentials skills. Students will be supported as they work, but their opportunity to think and investigate as a team will not be taken from them. Each topic will be revisited many times and will connect to other topics. If something is not clear the first time it is worked on, there will be more chances to build one's understanding as the course continues. The essential skills and concepts that will be developed in this course include exponents, linear functions, transformations, regression, sequences, systems of equations, congruence, coordinate geometry, exponential functions, and inequalities. 

Integrated Math ll

Course Description:  Core Connections Integrated ll is the curriculum used in this course.  Integrated ll is the second year of a three-year course progression in which students will discover the concepts of algebra, geometry and statistics with an overall theme of problem solving. Students will be expected to work in small groups and partnerships. In order to be successful learners, there will be a strong emphasis on community and team building skills. Students need a grade of C or better to be promoted to the next math course. If a student falls below this grade at the end of each semester, they will have to repeat this course the following school year, doubling up on their math courses, in order to ensure all credits are met for high school graduation and all foundational skills are in place for success in future math and science courses


Course Objectives:  The students will work in teams completing problems and activities that will help each student discover mathematical ideas, concepts and essentials skills. Students will be supported as they work, but their opportunity to think and investigate as a team will not be taken from them. Each topic will be revisited many times and will connect to other topics. If something is not clear the first time it is worked on, there will be more chances to build one's understanding as the course continues. The essential skills and concepts that will be developed in this course include geometric transformations and symmetry, congruence and similarity, properties of plane figures, mathematical proof, measurement of plane figures, analyzing and measuring right triangles, analyzing and building quadratic functions, the study of circles, and mathematical modeling.






Integrated Math lll

Course Description:  Core Connections Integrated lll is the curriculum used in this course.  Integrated lll is the third year of a three-year course progression in which students will discover more of the concepts of algebra and geometry with an overall theme of problem solving. Students will be expected to work in small groups and partnerships. In order to be successful learners, there will be a strong emphasis on community and team building skills. Students need a grade of C or better to be promoted to the next math course. If a student falls below this grade at the end of each semester, they will have to repeat this course the following school year, doubling up on their math courses, in order to ensure all credits are met for high school graduation and all foundational skills are in place for success in future math and science courses


Course Objectives:  The essential skills and concepts that will be developed in this course include graphs of a function, the unit circle, properties of logarithms, complex numbers, the Law of Sines and Cosines, the inverse of a function, polynomials and their degrees and rational expressions. In addition to these specific topics, an important goal of the course is to acquire more familiarity with complex mathematical reasoning and algebraic methods in general.  

Math Liberal Studies

Course Description: This is a dual enrollment semester course offered through Gavilin College. Students will earn 3 credit hours after one semester from Gavilin that will transfer to most California Universities. Second-semester students will be offered dual enrollment Finite Mathematics upon successful completion of Math/Liberals Arts.


Course Objectives: Students will survey selected topics from contemporary mathematics to introduce the liberal arts student to a variety of mathematical ideas, methods, and historical trends. Topics include systems of numeration, logic, set theory, mathematical modeling, geometry, trigonometry, mathematics of finance, probability and statistics. 

Finite Mathematics

Course Description: This is a dual enrollment semester course offered through Gavilin College. Students will earn 3 credit hours after one semester from Gavilin that will transfer to most California Universities. 


Course Objectives: Systems of linear equations and matrices, introduction to linear programming, finance, counting techniques and probability, properties of probability and applications of probability. 

Precalculus

Course Description:  Pre-Calculus with Trigonometry is designed as the fourth course in a five-year sequence of college preparatory mathematics for high school students. In addition to covering all of the key concepts found in traditional trigonometry, pre-calculus, or math analysis courses, it emphasizes several big ideas that form a foundation for calculus and other college mathematics curricula. 


Course Objectives: Student teams will complete problems and activities that will help them discover mathematical ideas, concepts and essential skills. Students will be supported as they work, but will not have their opportunity to think and investigate as a team taken away from them. The key concepts students will explore in this course are transformations of functions, periodic functions and their graphs, area under a curve as a foundation for integration, inverses, exponentials, and logarithmic equations and applications, limits to infinity and at a point, properties of functions including continuity, increasing vs. decreasing, and concavity, average rates of change and instantaneous rates of change as a foundation for derivatives, other graphical systems including polar and parametric, applications of vectors and trigonometric functions, algebraic fluency and simplification techniques. 

AP Calculus AB

Course Description: This course is designed as an introductory college-level calculus course. The course work is rigorous. As such, the prerequisite for this course is completion of Precalculus with a grade of B or better. Students who have earned a C in Precalculus may take the course but may need additional support. The course will cover everything in the AP Calculus AB guideline as it appears in the AP Calculus AB Course Description on College Board


Course Objectives:  Students cultivate their understanding of differential and integral calculus through engaging with real-world problems represented graphically, numerically, analytically, and verbally and using definitions and theorems to build arguments and justify conclusions as they explore concepts like change, limits, and the analysis of functions. The key concepts students will explore are limits and continuity, contextual and analytical differentiation, integration and accumulation of change, differential equations and applications of integration. 

AP Calculus BC

Course Description: AP Calculus BC is a college-level calculus course. Students cultivate their understanding of differential and integral calculus through engaging with real-world problems represented graphically, numerically, analytically, and verbally and using definitions and theorems to build arguments and justify conclusions as they explore concepts like change, limits, and the analysis of functions. 


Course Objectives:  Students will continue to cultivate their understanding of differential and integral calculus through engaging with real-world problems represented graphically, numerically, analytically, and verbally and using definitions and theorems to build arguments and justify conclusions as they explore concepts like change, limits, and the analysis of functions. Students will further explore limits and continuity, contextual and analytical differentiation, integration and accumulation of change, differential equations and applications of integration, as well as, parametric equations, polar coordinates, vector valued functions and infinite sequences and series.




Statistics

Course Description: This course is designed to be a project-based introduction to applied statistics and probability.   Understanding statistics is essential to being an informed citizen and consumer. By the end of this course, students shall have rudimentary knowledge of statistical reasoning and skills that support an informed populace. 


Course ObjectivesStatistics will focuses on the gathering, analysis, organization, and interpretation of data. Topics covered include sampling, surveying, correlation, causation, qualitative and quantitative data, basic probability, random variables, distributions, measures of central tendency, confidence intervals, standard deviations, and significant variation. 



AP Statistics

Course Description: AP Statistics is an introductory college-level statistics course that introduces students to the major concepts and tools for collecting, analyzing, and drawing conclusions from data. Students cultivate their understanding of statistics using technology, investigations, problem solving, and writing as they explore concepts like variation and distribution; patterns and uncertainty; and data-based predictions, decisions, and conclusions. 


Course ObjectivesIn AP Statistics, students are exposed to four broad conceptual themes: exploring data, sampling and experimentation, anticipating patterns and statistical inference. Students will use exploratory analysis of graphical and numerical techniques to study patterns and departures from patterns.  Well developed plans will be used to make sure valid data is collected in order to provide an answer to a question of interest. In addition, models will be used by students to draw conclusions from data to criticize and even falsify the model through inferential and diagnostic methods.