Integrated Math 1 - Prerequisite: Math 8.  The standards in the Integrated Mathematics I course come from the following conceptual categories: Modeling, Functions, Number and Quantity, Algebra, Geometry, and Statistics and Probability. The fundamental purpose of the Mathematics I course is to formalize and extend students’ understanding of linear and exponential functions and their applications. The critical topics of study deepen and extend understanding of linear relationships—partly by contrasting them with exponential phenomena and, in part, by applying linear models to data that exhibit a linear trend. Mathematics I uses properties and theorems involving congruent figures to deepen and extend geometric knowledge gained in prior grade levels.

ELD Integrated Math 1 -

Course Description: The course uses Specially Designed Academic Instruction to continue the development of the English Language through the Math content standards. The standards in the Integrated Mathematics 1 (ELD) course come from the following conceptual categories: Modeling, Functions, Number and Quantity, Algebra, Geometry, and Statistics and Probability. The fundamental purpose of the Mathematics I course is to formalize and extend students’ understanding of linear and exponential functions and their applications. The critical topics of study deepen and extend understanding of linear relationships—partly by contrasting them with exponential phenomena and, in part, by applying linear models to data that exhibit a linear trend. Mathematics I uses properties and theorems involving congruent figures to deepen and extend geometric knowledge gained in prior grade levels.

Prerequisite(s): Successful completion of Math 8 or scoring at the appropriate level based on district and teacher assessments.

Syllabus: https://drive.google.com/file/d/1LOG2fdJF-ykQkSo7mSzJzTpbhYR33STE/view?usp=sharing 

Integrated Math 2 -  Prerequisite: Math 1 or 8/1. Integrated Math 2 is comprised of standards selected from the high school conceptual categories (Number and Quantity, Algebra, Functions, Geometry, and Statistics and Probability.) The focus of Math 2 is on quadratic expressions, equations, and functions and comparing their characteristics and behavior to those of linear and exponential relationships from Math 1. In addition, students will be introduced to complex numbers, explore the link between probability and data, understand right triangle trigonometry through Pythagorean relationships (including writing proofs in various formats), and prove basic theorems about circles.

ELD Integrated Math 2 - 

Course Description: The course uses Specially Designed Academic Instruction to continue the development of the English Language through the Math content standards. Integrated Math 2 (ELD) is composed of standards selected from the high school conceptual categories (Number and Quantity, Algebra, Functions, Geometry, and Statistics and Probability.) The focus of Math 2 is on quadratic expressions, equations, and functions and comparing their characteristics and behavior to those of linear and exponential relationships from Math 1. In addition, students will be introduced to complex numbers, explore the link between probability and data, understand right triangle trigonometry through Pythagorean relationships (including writing proofs in various formats), and prove basic theorems about circles.

Prerequisite(s): Successful completion of Math 1 or Math 8/1.

Syllabus: https://drive.google.com/file/d/18BGD_tV2IbcWoD8IuN3zl9M-kOg0rNn9/view?usp=sharing 

Integrated Math 2+ - Prerequisite: Math 8/1 or examination/appeal, or internal teacher recommendation.  The course focuses on quadratic expressions, equations, and functions and comparing their characteristics and behavior to those of linear and exponential relationships from Math 1. In addition, students will be introduced to complex numbers, they will explore the link between probability and data, will understand right triangle trigonometry through Pythagorean relationships (including writing proofs in a variety of formats), will be introduced to vectors, and will focus on representing and modeling with vector quantities, they will prove basic theorems about circles, and they will derive equations for parabolas, ellipses, and hyperbolas.

Integrated Math 2 Plus is recommended for students who are interested in taking 4 years of math in high school, who have shown success in previous math courses, who are interested in a STEM career and/or college education, and who are prepared to learn higher-level math concepts from Pre-Calculus that will begin preparing them for Calculus.

The course is comprised of standards selected from the high school conceptual categories (Number and Quantity, Algebra, Functions, Geometry, and Statistics and Probability), including 14 additional “plus” (+) standards from Pre-Calculus. Students who are successful in Integrated Math 2 Plus will progress to Integrated Math 3 Plus the following year, during which they will learn the remaining Pre-Calculus standards. Students who successfully complete both “plus” courses will be prepared for AP Calculus AB.

Integrated Math 3 - Prerequisite: Math 2.  Integrated Math 3 is comprised of standards selected from the high school conceptual categories (Number and Quantity, Algebra, Functions, Geometry, and Statistics and Probability.) The focus of Math 3 is on expanding students' repertoire of functions to include polynomial, rational, and radical functions. They also expand their study of right-triangle trigonometry to include general triangles. In Math 3, students combine their experience with functions and geometry (from Math 1, 2, and 3) to create models and solve contextual problems.

Integrated Math 3+ - Prerequisite: Math 2+, or Math 2 with internal teacher recommendation.  Integrated Math 3 Plus comprises standards from high school conceptual categories (Number and Quantity, Algebra, Functions, Geometry, and Statistics and Probability.) The focus of Math 3 Plus is on expanding students' repertoire of functions to include polynomial, rational, and radical functions. They also expand their study of right-triangle trigonometry to include general triangles. Students will combine their experiences with functions and geometry (from Math 1, 2, and 3) to create models and solve contextual problems. Additionally, students in Math 3 Plus will work with vector and matrix quantities, graph rational functions, graph polar coordinates, and curves, prove trigonometric identities, and understand the inverse relationship between exponents and logarithms and use it to solve problems.

Integrated Math 3 Plus includes all of the standards and lessons from Math 3, with additional Pre-Calculus "plus" standards embedded throughout the course. Students who successfully complete Math 2 Plus and Math 3 Plus will have learned all of the Pre-Calculus standards and would be prepared to take AP Calculus AB the following year.

Courses for Seniors only

Quantitative Reasoning with Advanced Mathematical Topics, QRAT.  Prerequisite: Recommended Math 3, 12th grade.  The Quantitative Reasoning with Advanced Mathematical Topics (QRAT) course was developed to better prepare college and career-bound high school seniors with the 21st Century skills necessary to meet the mathematical thinking and problem-solving expectations of higher education courses and workplace requirements.  This course is intended for students who want to continue developing their mathematical knowledge and challenge their math skills while preparing for attendance at a CSU or UC. These students may be interested in math-intensive majors such as science, technology, engineering, and/or math (STEM), but this is not a requirement to participate in this course. The course has proven to help students succeed in STEM classes in college.

To view a video about QRAT copy and paste this URL to YouTube https://youtu.be/ioYGcO1bnUA?si=xDTIDKbJ43A-Wy2p 

Transition to Quantitative Reasoning, TQR.  Prerequisite: Math 2, 12th grade.  This course provides a pathway for students who may not be interested in pursuing a STEM and/or math-intensive major and would typically not take math their senior year, however, they plan to go to college and want to be prepared for their first year of college. The purpose of the G-Approved course (Non-STEM or math-intensive pathway) is to provide-STEM or math-intensive college-bound students with a pathway that prepares them for General Education college-level quantitative reasoning (QR). Students who want to look at Math in a fun and collaborative way, or want to grow in their Math confidence and ability, would benefit from taking this course.

Advanced Placement Courses

What majors require calculus?  The following college majors require calculus: all engineering majors, all business majors, biology, chemistry, biochemistry, computer science, economics, environmental science, mathematics, neuroscience, physics, and public health. (From Santa Clara University)

AP Pre-Calculus.  Prerequisite: Math 3.  Pre-Calculus builds on previous work in algebra, geometry, trigonometry, and mathematical functions.  The purpose of the course is to prepare students for calculus. From the College Board: 

“During the course, you’ll explore everyday situations using mathematical tools and lenses.  You’ll also develop an understanding of modeling and functions, and examine scenarios through multiple representations.  The course framework outlines content and skills needed for careers in mathematics, physics, biology, health science, social science, and data science.” (apstudents.collegeboard.org/courses/ap-precalculus)

Pre-Calculus weaves together the previous study of algebra, geometry, and mathematical functions into a preparatory course for calculus. The course focuses on mastery of critical skills and exposure to new skills necessary for success in subsequent math courses. The curriculum for this course is intended to prepare the student for the Advanced Placement Pre-Calculus exam, given in May.

AP Calculus AB.  Prerequisite: Math 3+ or Pre-Calculus.  Calculus is the study of change.  Since (as far as we know) time does not stand still, everything around us is changing.  Calculus provides a framework for modeling changing phenomena and allows us to try and predict future behavior.  The calculus study involves three stages: the limit process, differentiation, and integration. The curriculum for this course is intended to prepare the student for the advanced placement Calculus AB Exam, administered in May.

AP Calculus BC.  Prerequisite: Calculus AB.  AP Calculus BC is a college-level course equivalent to a full year of calculus at most universities, both Calculus I and Calculus II. The course is based on the College Board’s Advanced Placement Calculus BC curriculum, whose purpose is “developing an understanding of the concepts of calculus and providing experience with its methods and applications.” The calculus study involves three stages: the limit process, differentiation, and integration, Infinite Series, Parametric Equations, and Polar Graphs. The course will emphasize that most calculus concepts and problems can be viewed or represented in several ways: graphically, numerically, algebraically, and verbally. The primary purpose of this course is to prepare students for the AP Exam and future college math courses.

AP Statistics.  Prerequisite: Math 3, Math 3+.  AP Statistics is a year-long introductory course to statistics which aims to introduce students to the major concepts and tools for collecting, analyzing, and drawing conclusions from data. There are four themes evident in the content, skills, and assessment in the AP Statistics course: exploring data, sampling and experimentation, probability and simulation, and statistical inference. Students use technology, investigations, problem solving, and writing as they build conceptual understanding. Students will explore and analyze data using graphical and numerical techniques. Students will also use probability and statistical inference to develop an appropriate model for the data collected.