# Mathematics

Graduation Requirements: 30 Credits

(UC requires 3 years; 4 years recommended)

**Please note: The abbreviations P, H and AP are all UC/CSU approved courses
P = College Prep; H = Honors; AP = Advanced Placement*

**COURSE NUMBER: MA289**

UC/CSU CREDIT: (c) Mathematics

Math I focuses on six critical areas: (1) extend understanding of numerical manipulation to algebraic manipulation; (2) synthesize understanding of function; (3) deepen and extend understanding of linear relationships; (4) apply linear models to data that exhibit a linear trend; (5) establish criteria for congruence based on rigid motions; and (6) apply the Pythagorean Theorem to the coordinate plane.

*Placement Criteria: Multiple Measures *

*Most recent IEP recommendations*

**COURSE NUMBER: MA294 **(course video) AP/Honors Commitment Pledge (Español)

UC/CSU CREDIT: (c) Mathematics

Honors Math 2 is the second course of a four-year sequence of mathematics classes which satisfy college entrance requirements. This course expands on the content of Math 1 while introducing concepts and techniques that will be essential for more advanced mathematics and science courses. Honors Math 2 extends students’ understanding of quadratic expressions, equations and functions, focusing on five critical areas: (1) extend the laws of exponents to rational exponents; (2) compare key characteristics of quadratic functions with those of linear and exponential functions; (3) create and solve equations and inequalities involving linear, exponential, and quadratic expressions; (4) extend work with probability; and (5) establish criteria for similarity of triangles based on dilations and proportional reasoning. The course is based on the Common Core Mathematics Content Standards adopted by the State Board of Education in August 2010 with real world application of higher level math.

Honors Mathematics II represents extension, acceleration and enrichment of the Common Core State Standards for Math II. Curriculum indicates depth, rigor, accelerated pacing, complexity, challenges, and creativity beyond the standard level course.

*Placement Criteria: Multiple Measures *

*Grade of A or B in P Math 1**Proficient or Advanced on Most Recent MI**Teacher Recommendation*

**COURSE NUMBER: MA290**

UC/CSU CREDIT: (c) Mathematics

Math 2 extends students’ understanding of quadratic expressions, equations and functions, focusing on five critical areas: (1) extend the laws of exponents to rational exponents; (2) compare key characteristics of quadratic functions with those of linear and exponential functions; (3) create and solve equations and inequalities involving linear, exponential, and quadratic expressions; (4) extend work with probability; and (5) establish criteria for similarity of triangles based on dilations and proportional reasoning.

*Placement Criteria: Multiple Measures *

*Most recent IEP recommendations*

**COURSE NUMBER: *1066**

UC/CSU CREDIT: (c) Mathematics

This class will introduce students to the main ideas in data science through free tools such as Google Sheets, Python, Data Commons and Tableau. Students will learn to be data explorers in project-based units, through which they will develop their understanding of data analysis, sampling, correlation/causation, bias and uncertainty, probability, modeling with data, making and evaluating data-based arguments, the power of data in society, and more! At the end of the course students will have a portfolio of their data science work to showcase their newly developed abilities.

*Placement Criteria: Multiple Measures *

*Most recent IEP recommendations*

**COURSE NUMBER: MA295 **(course video) AP/Honors Commitment Pledge (Español)

UC/CSU CREDIT: (c) Mathematics

Honors Math 3 is the third course of a four-year sequence of mathematics classes which satisfy college entrance requirements. This course expands on the content of Honors Math 2 while introducing concepts and techniques that will be essential for more advanced mathematics and science courses. Honors Math 3 focuses on four critical areas: (1) apply methods from probability and statistics to draw inferences and conclusions from data; (2) expand understanding of functions to include polynomial, rational, and radical functions; (3) expand right triangle trigonometry to include general triangles; and (4) consolidate functions and geometry to create models and solve contextual problems. The course is based on the Common Core Mathematics Content Standards adopted by the State Board of Education in August 2010 with real world application of higher level math.

Honors Math 3 represents extension, acceleration and enrichment of the Common Core State Standards for Math 3. Curriculum indicates depth, rigor, accelerated pacing, complexity, challenges, and creativity beyond the standard level course.

*Placement Criteria: Multiple Measures *

*Grade of A or B in H Math 2**Grade of A in P Math 2**Proficient or Advanced on Most Recent MI**Teacher Recommendation*

**COURSE NUMBER: MA291**

UC/CSU CREDIT: (c) Mathematics

Math 3 focuses on four critical areas: (1) apply methods from probability and statistics to draw inferences and conclusions from data; (2) expand understanding of functions to include polynomial, rational, and radical functions; (3) expand right triangle trigonometry to include general triangles; and (4) consolidate functions and geometry to create models and solve contextual problems.

*Placement Criteria: Multiple Measures *

*Most recent IEP recommendations*

**COURSE NUMBER: MA292**

UC/CSU CREDIT: (c) Mathematics

Advanced Algebra with Financial Applications is a college preparatory course that uses sophisticated mathematics to become financially responsible. The course employs advanced algebra, probability and statistics to solve financial problems occurring in everyday life. Inquiry-based problem units involving investing, credit, banking, auto insurance, mortgages, employment, income taxes, budgeting and planning for retirement are solved by applying the relevant mathematics. Field projects, computer spreadsheets and graphing calculators are key components of the course. Students will apply the Common Core Mathematical Practice Standards when solving problems and completing performance tasks.

*Placement Criteria: Multiple Measures *

*Most recent IEP recommendations*

**COURSE NUMBER: MA234 **AP/Honors Commitment Pledge (Español)

UC/CSU CREDIT: (c) Mathematics

This course covers the mathematics of angles and triangles, the use of various functions, the proving of trigonometric identities, and the solution of conditional trigonometric equations. Topics include plane analytical geometry including: functions, loci, graphs, conics, distance, vectors, transcendental functions, polar coordinates, and parametric equations. A graphing calculator is recommended. Only grades of “C” or better will be weighted.

*Placement Criteria: Multiple Measures *

*Grade of A or B in H Math 3**Grade of A in P Math 3**Proficient or Advanced on Most Recent MI**Teacher Recommendation*

**COURSE NUMBER: MA230**

UC/CSU CREDIT: (c) Mathematics

This course extends the study of Algebra 2 and provides preparation for calculus. Topics included are polynomial functions, theory of equations, trigonometric functions, sequences and series, exponential and logarithmic functions, parametric equations, vectors, and polar coordinates. A graphing calculator is recommended.

*Placement Criteria: Multiple Measures *

*Most recent IEP recommendations*

**COURSE NUMBER: MA205**

UC/CSU CREDIT: (c) Mathematics

The Statistics and Probability course offers an alternative fourth course to Pre-calculus. In this class students continue to develop a more formal and precise understanding of statistical inference. Students learn that formal inference procedures are designed for studies in which the sampling or assignments of treatments was random, and these procedures may be less applicable to nonrandomized observational studies. Probability is still viewed as long-run relative frequency but the emphasis now shifts to conditional probability and independence.

*Placement Criteria: Multiple Measures *

*Most recent IEP recommendations*

**COURSE NUMBER: CC401 **(course video)

UC/CSU CREDIT: (c) Mathematics

*(This is a dual enrollment course with Napa Valley College which requires a Permit to Attend Form)*

**Math 120 **- the first semester of a three course sequence in differential and integral calculus. Topics include functions, limits and continuity, techniques and applications of differentiation and integration, and the Fundamental Theorem of Calculus. Primarily for students majoring in mathematics, engineering or sciences. A Graphing Calculator is required. ** **

**Math 121 **- The second semester of a three-course sequence in differential and integral calculus. Topics include integration, techniques of integration, infinite sequences and series, polar and parametric equations, and applications of integration. Primarily for majors of mathematics, engineering, and sciences. Graphing calculator is required.

*Placement Criteria: Multiple Measures *

*Grade of A or B in H Pre Calculus**Grade of A in P Pre Calculus**Proficient or Advanced on Most Recent MI**Teacher Recommendation*

**COURSE NUMBER: CC109 **

UC/CSU CREDIT: (c) Mathematics

*(This is a dual enrollment course with Napa Valley College which requires a Permit to Attend Form)*

The Napa Valley College Statistics course offers an alternative fourth course to Pre-calculus. The use of probability techniques, hypothesis testing, and deductive techniques to facilitate decision-making. Topics include descriptive statistics, probability and sampling distributions, statistical inference, correlation and linear regression, analysis of variance, chi-square, and t-test, and application of technology for statistical analysis including interpretation of the relevance of the statistical findings. Applications using data from disciplines such as business, social sciences, psychology, life sciences, health science, and education.

*Prerequisite: *

*B or better in Math III**C or better in Honors Math III**C or better in Honors or Prep Pre Calculus*

**COURSE NUMBER: MA214 **(course video) AP/Honors Commitment Pledge (Español)

GRADUATION CREDIT: (g) Elective

**UC/CSU CREDIT: (d) Science *****Note the change this year*

AP Computer Science Principles is a one-year, college level, non- calculus based introduction to the central ideas of Computer Science. The course introduces students to the foundational concepts of computer science and challenges them to explore how computing and technology can impact the world. The AP Program designed AP Computer Science Principles with the goal of creating leaders in computer science fields and attracting and engaging those who are traditionally underrepresented with essential computing tools and multidisciplinary opportunities.

*Placement Criteria: Multiple Measures *

*Grade of A or B in P Math 1**Knowledge of basic algebra and experience in problem solving**Overall comfort and competence with written communication**Proficient or Advanced on Most Recent MI**Teacher Recommendation*

**COURSE NUMBER: MA189**

UC/CSU CREDIT: None

Course Description: Basic Math is a one-year course that may be repeated for credit in grades 9-12.

Course Goals: Students will continue to develop their arithmetic and pre-algebra skills within the context of reaching a level of proficiency that enables a successful transition into Pre-General Algebra.

Course Objectives: During the course, students will master the following skills:

- Represent a ratio as a fraction.
- Add, subtract, and multiply positive numbers and place positive and negative integers on a number line.
- Draw pictures to represent fractions.
- Begin plotting ordered pairs.
- Find the perimeter and area of rectangles and triangles.
- Interpret a simple bar graph, tell time, and make change.

**COURSE NUMBER: MA208**

UC/CSU CREDIT: None

Consumer Math is a year long course that uses Common Core High School based math standards. Consumer math focuses on Algebra 1, Modeling, Geometry, Probability and Statistics to solve consumer and financial problems occurring in daily life. Inquiry based problem solving units involving purchasing, credit, banking, employment, taxes, budgeting and other fields of real life situations are solved by applying relevant mathematical concepts.

**COURSE NUMBER: MA264**

UC/CSU CREDIT: None

Algebra 1 is a standards-based course where students study the state content standards that meet the graduation requirement. Algebra I Sheltered is a year-long non-college preparatory course designed for English Language Learners (placement criteria will include overall CELDT score, redesignation status as well as teacher recommendation). Instruction will be presented in a sheltered manner providing students access to the curriculum.