Mathematics

Math Pathways

Integrated Math 1 (M651)

(Abbr. Transcript Title: Int Math1)

Prerequisite: None

Meets the UC/CSU "C" requirement (Mathematics I)

This is the 1st course, in a three-course sequence, that combines basic principles of Algebra 1, Geometry, and Statistics. Topics include sequences, linear and exponential functions, constructions, congruence, rigid transformations, systems of equations, function features, interpreting and analyzing data, and inequalities.

This course is required for graduation.

                                                                                                                                                                                                                                                   

Integrated Math 2 (M655)

(Abbr. Transcript Title: Int Math3)

Prerequisite: Successful completion of Integrated Math 1

Meets the UC/CSU "C" requirement (Mathematics II)

This is the 2nd course in the Integrated Math sequence. Topics include geometric proofs, quadratic functions, similarity and congruence, circles, basic trigonometric functions and probability. The structure of the course integrates technology, collaboration with peers, and real-world applications to support content mastery.

                                                                                                                                                                                                                                                   


Integrated Math 3 (M800)

(Abbr. Transcript Title: Int Math 3)

Prerequisite: Successful completion of Integrated Math 2

Meets the UC/CSU "C" requirement (Mathematics III)

Highly recommended for college-bound students (2-year and 4-year). This course completes the Integrated Math sequence as students will continue to expand their understanding of quadratics, inverses, and trigonometry. Students will expand their learning into logarithms, polynomials, and sequences. The content and pace is challenging and rigorous as it develops critical thinking skills in preparation for a fourth year of math.

                                                                                                                                                                                  

Integrated Math 3.mp4

Introduction to Data Science (M402)

(Abbr. Transcript Title: Intro Data Sci)

Prerequisite: Successful completion of Integrated Math 2

Meets the UC/CSU "C" requirement (Statistics)

What factors make some people live longer than others? Are more expensive restaurants really better? Is voter fraud a problem? What data would you need to gather to answer these questions, and how would you measure that data to get your answer? Answering real questions in the world involves analyzing data. This course will teach students to think critically about and with data, developing the tools, techniques, and principles for reasoning. Students form their own questions about the world around them, analyze data using multiple methods, and present their findings. Students will be introduced to basic computer programming skills using the language, Pyret, during the research.

                                                                                                                                                                                  

Intro to data science.mp4
DS Student Promo Video.MOV

Financial Algebra with Applications (M680)

(Abbr. Transcript Title: Financial Algeb)

Prerequisite: Completion of Integrated Math 1 and Integrated Math 2 or equivalent

Recommended for 11th - 12th Grade Students Only

Meets the UC/CSU "C" requirement (Math III)

Are you prepared to handle your financial future? This project-based course explores banking, investing, credit, employment, income taxes, automobile ownership, housing, retirement planning and household budgeting, as it relates to students interests. This course is algebra-based, applications-oriented, and technology-dependent. Upon completion of this course, students will be more knowledgeable of the finances involved in "adulting."

Financial Algebra.mp4

                                                                                                                                                                                                                                                  

Discrete Mathematics (M695)

(Abbr. Transcript Title: Discrete Math)

Prerequisite: Successful completion of Integrated Math 3 or Financial Algebra or Introduction to Data Science

Meets the UC/CSU "C" requirement (Advanced Mathematics )

How can mathematics be applied to your life in interesting, enjoyable, and meaningful ways? This course will show students how! Students will advance deductive reasoning through explorations, conjecturing, generalizing, justifying, and repeated reasoning using games, graphs, fractals, counting and cryptography. Students will see how mathematics can solve authentic problems that apply to their lives.

                                                                                                                                                                                                                                                 

AP Precalculus (M429) 

(Abbr. Transcript Title: AP AP Precalc)

Prerequisite: Successful completion of Integrated Math 3, Algebra 2 or Algebra 2 Honors

Meets the UC/CSU "C" requirement (Advanced Mathematics )

★ Honors Grade bump applied for grades of 'A', 'B' or 'C'

AP Precalculus is a challenging and enriching course designed for high school students seeking to strengthen their mathematical foundation and prepare for advanced studies in calculus. AP Precalculus covers a wide range of topics essential for success in calculus and other advanced mathematics courses including: Polynomial and Rational Functions, Exponential and Logarithmic Functions, Trigonometric and Polar Functions, and may include Parametric Functions, Vectors and Matrices. Throughout the course, students will develop strong problem-solving skills and critical thinking abilities. This course is aligned with the College Board's AP Precalculus curriculum, and students will be prepared to take the AP Precalculus exam at the end of the academic year. Successful completion of the exam may lead to college credit. 

                                                                                                                                                                                  


AP Statistics (M405)

(Abbr. Transcript Title: AP Statistics)

Prerequisite: Successful completion of Math Analysis Honors, Pre-Calculus or Intro to Data Science

Meets the UC/CSU "C" requirement (Statistics)

★ Honors Grade bump applied for grades of 'A', 'B' or 'C'

Colleges are emphasizing the value of entering students having a background in Statistics. Statistics students will learn how to analyze and interpret data from sports, business, science, health, education and other fields. Topics of study include surveys, experiments, correlation, probability and inference. Course requires more reading, analysis, and writing than previous math courses; pacing is fast and the course requires a strong math background.

                                                                                                                                                                                  

AP Statistics.mp4

AP Calculus A/B (M440)

(Abbr. Transcript Title: AP Calculus AB)

Prerequisite: Successful completion of Math Analysis Honors or Pre-Calculus

Meets the UC/CSU "C" requirement (Calculus)

★ Honors Grade bump applied for grades of 'A', 'B' or 'C'

Referred to as the study of change, students will investigate three big ideas: limits, derivatives and integrals, and the Fundamental Theorem of Calculus. Students will be asked to think critically and collaborate with others in order to innovatively solve problems. They will be asked to explain their results using precise mathematical justifications.

Students who pass the AP Calculus AB exam may be able to earn college credit for Calculus 1, which is required at most universities for many physics, engineering, science, and business classes.


AP Calculus AB:BC.mp4

AP Calculus B/C (M445)

(Abbr. Transcript Title: AP Calculus BC)

Prerequisite: Successful completion of AP Calculus A/B (It is Strongly Suggested to take both classes in the same academic year)

Meets the UC/CSU "C" requirement (Calculus)

★ Honors Grade bump applied for grades of 'A', 'B' or 'C'

This course is excellent for future engineers, not to mention anyone who plans on studying any type of STEM subject. Business majors will also benefit. This course picks up where Calc AB leaves off, and goes even deeper on derivatives and integrals. Series, maclaurin and taylor, are a significant part of the course. Other interesting topics include the calculus of vectors, parametric equations and polar functions. An opportunity to take the AP exam and possibly earn college credit.

                                                                                                                                                                        

Palomar Dual Enrollment Course

MVHS: Calculus 3 (DEM205) Palomar: MATH 205 Calculus With Analytic Geometry, Third Course 

(Abbr. Transcript Title: DE Calculus w/ Analytic Geo3rd)

Prerequisite: Successful completion of AP Calculus B/C (It is Strongly Suggested to pass AP Calc test with 3 or higher) or Palomar Math 141 

Transfer acceptability: CSU; UC

Students will need to enroll in Palomar College as this course is offered through Dual Enrollment and you will be earning college credits.

Vectors in the plane and space, three-dimensional coordinate system and graphing, vector-valued functions and differential geometry, partial differentiation, multiple integration, and vector calculus. 

                                                                                                                                                                                                                                                   

Math Department Support Elective

                                                                                                                                                                                                                                                   

The course below is Math Department Support Elective. It does count toward Math graduation requirements but does not count toward Math UC/CSU admission requirements.

Quantitative Reasoning (M690)

(Abbr. Transcript Title: Qnt Res)

Prerequisite: Students will be placed into this class by site administrators

This course does not meet UC/CSU requirements

Students will be empowered to be confident problem solvers through the development of the habits of mind and the mathematical practice standards. Students will be taught base level knowledge of logic, modeling with and of mathematics, arithmetic properties, geometric properties and statistical and probability reasoning. This course is designed as a support class for students to master skills prior to Integrated Math 1.

                                                                                                                                                                                                                                                   

Math Department Electives

                                                                                                                                                                                                                                                   

AP Computer Science A (C273)

(Abbr. Transcript Title: Computer Sci 2)

Grade Level: 10 - 12

Prerequisite: Successful completion of Computer Science 1

Meets the UC/CSU "C" requirement (Computer Science)

★ Honors Grade bump applied for grades of 'A", 'B' or 'C'

Continue the amazing journey of computer science and take a trip to object-oriented programming. Collaborate as a team to create a computer version of a classic board game or get creative and design an original. Learn how to add images and sound to enhance the finished project.

                                                                                                                                                                                                                                                   

Machine Learning (C274)

Grade Level: 10 - 12

Prerequisite: Successful completion of AP Computer Science A

Meets the UC/CSU "C" requirement (Computer Science)

★ Honors Grade bump applied for grades of 'A", 'B' or 'C'

Interested in learning about one of the most exciting and leading edge fields in computer science.  In Machine Learning you will use the Python programming language to learn and create programs related to regression, neural networks, reinforcement learning, and other machine learning algorithms.

Last Update 1.23.24 CP