# MATHEMATICS

Integrated Math I A-B - Grades 9

Integrated Math I is the first of three high school–level courses that integrate the content of algebra, geometry, and intermediate algebra, as defined by the Mathematics Framework for California Public Schools, under the Common Core State Standards. This course formalizes and extends the mathematics that students learned in middle school.

Integrated Math I A-B Advanced - Grades 9

Integrated Math I Advanced is the first course in the accelerated pathway to calculus. The course is designed for advanced grade 8 students. It includes the content of the standard Integrated Math I course (Integrated Math I A-B (P)) plus an additional two units that will provide opportunities for students to begin working with the advanced + Common Core State Standards.

Integrated Math II A-B - Grades 9 - 10

Integrated Math II is the second of three high school–level courses that integrate the content of algebra, geometry, and intermediate algebra, as defined by the Mathematics Framework for California Public Schools, under the Common Core State Standards. This course focuses on quadratic expressions, equations, and functions while comparing their characteristics and behavior to those of linear and exponential relationships as encountered in Integrated Math I A-B.

Integrated Math II A-B Advanced - Grades 9 - 10

Integrated Math II Advanced is the second course in the accelerated pathway to calculus. The course integrates the Common Core State Standards as outlined in the Mathematics Framework for California Public Schools with additional higher-level standards. The intent of the course is to prepare students for Integrated Math III A-B Advanced (P).

Students will be exposed to the content of the standard Integrated Math II A-B (P) course with the expectation that they will explore that content more deeply, including studying and analyzing conic sections and vectors and their relationships to complex numbers.

Integrated Math III A-B - Grades 10-12

Integrated Math III is the third of three high school–level courses that integrate algebra, geometry, trigonometry, and statistics under the Common Core State Standards. The course extends the mathematics students learned in Integrated Math II A-B (P). Students expand their repertoire of functions to include polynomial, rational, and radical functions. They expand study of right-triangle trigonometry to include general triangles. They bring together data, functions, and geometry to create models and solve contextual problems.

Integrated Math III A-B Advanced - Grades 10-12

Integrated Math III Advanced is the third course in the accelerated pathway to calculus. The course integrates the Common Core State Standards as outlined in the mathematics framework with additional higher-level standards. The intent of the course is to prepare students for an AP calculus course.

Students will be exposed to the content of the standard Integrated Math III A-B (P) course with the expectation that they will explore that content more deeply. They will bring together all their experiences with data, functions, and geometry to create models and solve contextual problems. They relate combinations and permutations to the binomial theorem. They expand their knowledge of complex numbers using trigonometry.

Data Science and Statistics - Grades 10-12

*Can be used to meet mathematics graduation requirement in lieu of IM3, OR as a 4th year course.

This course will develop skills in Data Science and statistics by emphasizing a modeling approach. The General Linear Model (GLM) is used as a major connecting principle among the many concepts covered in this course. Students will learn to use data and modeling to answer questions and to critically evaluate information. This is achieved, in part, by embedding opportunities for students to engage in productive struggle, deliberate practice, and practicing explicit connections between concepts into the structure of the course and its online textbook.

The goals of the course are for students to develop the habits of mind of a data scientist, such that they can problem solve flexibly with data in a variety of situations. The course also aims to develop the practical skills needed across the stages of the Data Science cycle, including data collection, analyses, and communication of results. Furthermore, a significant goal of the course is to provide students with skills that are future-oriented, not outdated, and tied to the real-world so that they are better equipped for their future careers.

Math 96 **Intermediate Algebra & Geometry -**Grades 11, 12

*MESA College Course

Intermediate algebra and geometry is the second of a two-course integrated sequence in algebra and geometry. This course covers systems of equations and inequalities, radical and quadratic equations, quadratic functions and their graphs, complex numbers, nonlinear inequalities, exponential and logarithmic functions, conic sections, sequences and series, and solid geometry. The course also includes application problems involving these topics. This course is intended for students preparing for transfer-level mathematics courses.

Math 119 **Elementary Statistics -****Grades 11, 12 **

*MESA College Course

This course covers descriptive and inferential statistics. The descriptive portion analyzes data through graphs, measures of central tendency and dispersion. The inferential statistics portion covers statistical rules to compute basic probability, including binomial, normal, Chi-squares, and T-distributions. This course also covers estimation of population parameters, hypothesis testing, linear regression, correlation and ANOVA. Emphasis is placed on applications of technology, using software packages, for statistical analysis and interpretation of statistical values based on data from disciplines including business, social sciences, psychology, life science, health science and education. This course is intended for transfer students interested in statistical analysis.

Precalculus 1-2 - Grades 11, 12

Prerequisites: “C” or better in all semesters of Integrated Math 1 A & B, Integrated Math 2 A & B and Integrated Math 3 A & B.

This course is normally offered only to grade 12 students and well-prepared grade 11 students. The course includes two semesters of integrated concepts of trigonometry and advanced algebra in such a form as to make them most useful for later study of analytic geometry and calculus. This course also includes an introduction to topics in discrete mathematics.

Precalculus 1-2 Honors - Grades 11, 12

Prerequisites: “B” or better in both semesters of Advanced Integrated Math 3 A & B and recommendation of teacher/counselor.

This course is offered to grade 11 students who have demonstrated superior achievement and motivation in mathematics. The course is designed to be a third-year course in algebra. It includes a strong treatment of trigonometry, limits, and algebraic functions. After successful completion of this course, the student will be prepared for the first course of calculus.

Topics in Discrete Mathematics 1,2 - Grade 12

Prerequisites: “C” or better in both semesters of Precalculus 1-2 or Honors Precalculus.

Topics in Discrete Mathematics covers aspects of functions, matrices, statistics, and introductory calculus. This course is designed for students who have completed Precalculus 1-2 Honors (HP) or Precalculus 1-2 (P) and choose not to take a calculus course in their senior years.

Statistics 1-2 AP - Grades 11, 12 (HP)

Prerequisites: “C” or better in both semesters of Precalculus or Honors Precalculus.

AP Statistics is equivalent to an introductory, non-calculus-based college course in statistics. The course introduces students to the major concepts and tools for collecting, analyzing, and drawing conclusions from data. It is built around four themes: exploring data, sampling and experimentation, anticipating patterns, and statistical inference. Students use technology, investigations, problem solving, and writing as they build conceptual understanding.

Math 150 **Calculus with Analytical Geometry I** Grades 11, 12

*MESA College Course

This course is an introduction to university-level calculus requiring a strong background in algebra and trigonometry. The topics of study include analytic geometry, limits, differentiation and integration of algebraic and transcendental functions, and applications of derivatives and integrals. Emphasis is placed on calculus applications involving motion, optimization, graphing, and applications in the physical and life sciences. This course incorporates the use of technology. Analytical reading and problem solving are strongly emphasized in this course. This course is intended for students majoring in mathematics, computer science, physics, chemistry, engineering, or economics.

**Prerequisite:** Placement Exam

Math 151 **Calculus with Analytical Geometry II** Grades 11, 12

*MESA College Course

This is the second course in the calculus and analytic geometry sequence. This course covers more advanced topics in analytic geometry, differentiation and integration of algebraic and transcendental functions, infinite series, Taylor series, and parametric equations. This course also covers a general introduction to the theory and applications of power series, techniques of integration, and functions in polar coordinates, as it serves as a basis for multivariable calculus and differential equations, as well as most upper division courses in mathematics and engineering. This course is intended for the transfer student planning to major in mathematics, computer science, physics, chemistry, engineering or economics.

Math 254 **Introduction to Linear Algebra** Grade 12

*MESA College Course

This course serves as an introduction to the theory and applications of elementary linear algebra and is the basis for most upper division courses in mathematics. The topics covered in this course include matrix algebra, Gaussian Elimination, systems of equations, determinants, Euclidean and general vector spaces, linear transformations, orthogonality and inner product spaces, bases of vector spaces, the Change of Basis Theorem, eigenvalues, eigenvectors, the rank and nullity of matrices and introduction to linear transformations. This course is intended for the transfer student planning to major in mathematics, physics, engineering, computer science, operational research, economics, or other sciences.

**Prerequisite:** MATH 151

Math 245 **Discrete Mathematics**** Grade 12 **

*MESA College Course

This course is an introduction to the theory of discrete mathematics and introduces elementary concepts in logic, set theory, and number theory. The topics covered include propositional and predicate logic, methods of proof, set theory, Boolean algebra, number theory, equivalence and order relations, and functions. This forms a basis for upper division courses in mathematics and computer science and is intended for the transfer student planning to major in these disciplines.