Math Department - Courses

Integrated Math I - P
Grade Level: 9-12
UC/CSU: Mathematics (“C”) requirement
Credits: 10.0
Graduation Requirement: Math
Pre-requisites: None
Grading Scale: 4.0
Description: During the Integrated Math I course instructional time will focus 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

Integrated Math IA - P
Grade Level: 9-12
UC/CSU: Mathematics (“C”) requirement
Credits: 10.0
Graduation Requirement: Math Pre-requisites: None
Grading Scale: 4.0
Description: This course satisfies the California Common Core Standards for Integrated 1. Integrated 1A is part 1 of a 2 year course sequence to meet Integrated 1 standards and is open to all ninth graders. Integrated Math 1A builds and strengthens students’ conceptual knowledge of equations, inequalities and functions, systems of equations, exponential and radical functions, data analysis and tools of geometry.

Integrated Math IB - P
Grade Level: 9-12
UC/CSU: Mathematics (“C”) requirement
Credits: 10.0
Graduation Requirement: Math
Pre-requisites: Successfully completed Integrated Math 1A with a “C” or better.
Grading Scale: 4.0
Description: During the Integrated Math I course instructional time will focus 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.

Integrated Math II - P
Grade Level: 9-12
UC/CSU: Mathematics (“C”) requirement
Credits: 10.0
Graduation Requirement: Math Pre-requisites: Pass each semester of Integrated Math I with a grade of “D” or higher.
Grading Scale: 4.0
Description: Integrated Math II is the second course of a three-course sequence including Integrated Math I, Integrated Math II, and Integrated Math III. This course satisfies the California Common Core Standards for Integrated Math II and is intended for all 10th graders. Integrated Math II builds and strengthens students’ conceptual knowledge and comparing of quadratic expressions, equations, and functions to the characteristics and behaviors of linear and exponential relationships from Integrated Math I.

Integrated Math III - P
Grade Level: 10-12
UC/CSU: Mathematics (“C”) requirement
Credits: 10.0
Graduation Requirement: Math
Pre-requisites: Pass each semester of Integrated Math II with a grade of “D” or higher.
Grading Scale: 4.0
Description: Integrated Math III is the third course in the three-course sequence of Integrated Math I, II and III. In Integrated Math III students pull together the concepts they learned in Integrated Math I and II. Integrated III will focus 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.

AP Calculus AB - P
Grade Level: 10-12
UC/CSU: Mathematics (“C”) requirement
Credits: 10.0
Graduation Requirement: Math
Pre-requisites: Student must successfully pass Pre-Calculus with a grade of “B” or better (or a “C” with Pre-Calculus teacher recommendation) and teacher recommendation. Student also needs to complete the summer homework packet which is due the first day of class.
Grading Scale: 5.0

NOTE: The class will consist of highly motivated students that have the time, as well as the desire, needed to excel. Students signing up for this class should have excellent writing and math skills. Students need to provide their own graphing calculator. In the event of a financial hardship, the teacher has a limited number of calculators available to loan. Students are encouraged to take the AP exam in the Spring. AP Calculus is primarily concerned with developing the students’ understanding of the concepts of calculus and providing experience with its methods and applications. The course emphasizes a multi-representational approach to calculus with concepts, results and problems being expressed geometrically, numerically, analytically and verbally. The connections among these representations also are important. Students will use a graphing calculator to determine the value of a derivative at a point, to find the value of a definite integral, to graph a function in any window and to solve an equation. They will also use a graphing calculator to check their answers and create models of best fit from data. The student will then be able to present their solutions both verbally and precisely written. The college system recognizes the degree of difficulty, so this course is graded on a 5-point scale instead of the usual 4-point scale of GPA.

AP Calculus BC - P
Grade Level: 10-12
UC/CSU: Mathematics (“C”) requirement
Credits: 10.0
Graduation Requirement: Math Pre-requisites: Student must successfully pass Pre-Calculus with a grade of “B” or better (or a “C” with Pre-Calculus teacher recommendation) and teacher recommendation. Student also needs to complete the summer homework packet which is due the first day of class.
Grading Scale: 5.0

NOTE: The class will consist of highly motivated students that have the time, as well as the desire, needed to excel. Students signing up for this class should have excellent writing and math skills. Students need to provide their own graphing calculator. In the event of a financial hardship, the teacher has a limited number of calculators available to loan. Students are encouraged to take the AP exam in the Spring. AP Calculus is primarily concerned with developing the students’ understanding of the concepts of calculus and providing experience with its methods and applications. The course emphasizes a multi-representational approach to calculus with concepts, results and problems being expressed geometrically, numerically, analytically and verbally. AP Calculus BC is an extension of AP Calculus AB rather than an enhancement. Students will review topics covered in Calculus AB in addition to analyzing parametric, polar, and vector functions. Additional topics that are covered are polynomial approximations, Taylor and Maclaurin series, and integrating by parts, partial fractions, and improper integrals. The college system recognizes the degree of difficulty, so this course is graded on a 5-point scale instead of the usual 4-point scale of GPA.

Trig/Pre-Calculus - P
Grade Level: 11-12
UC/CSU: Mathematics (“C”) requirement
Credits: 10.0
Graduation Requirement: Math
Pre-requisites: Student must successfully pass Integrated Math II with a grade of “B” or better or recommendation from Integrated II teacher.
Grading Scale: 4.0
Description: Pre-Calculus is a one-year course designed for college prep students who will learn the knowledge and skills necessary for a first-year college calculus course. Students will work on being proficient in the following areas: the fundamentals of college-level algebra, geometric and algebraic interpretations of functions, inverse functions, linear and quadratic inequalities, rational functions, exponential and logarithmic functions/applications, and trigonometric functions and their properties. They will also be introduced to limits.

DE Stat 1 - Introduction to Statistical Methods
Grades: 11, 12
Prerequisites:
Graduation Requirement: Will meet the 3rd Year Math Requirement
10 Units: 5.0 for Graduation; 4 units for Yuba Community College
UC/CSU: Transferable units from Yuba Community College
Dual Enrollment/Articulation: Dual Enrollment
Board Approved: Pending
Grading Scale: 5.0
Description: (as per Yuba College Catalog) The use of probability techniques, hypothesis testing, and predictive 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-tests; and application of technology for statistical analysis including the interpretation of the relevance of the statistical findings. Applications using data from disciplines including business, social sciences, psychology, life science, health science, and education.

NOTE: This course is being negotiated with Yuba College for what is called a “Point-to-Point” course. We would host a classroom of students who are supervised by an Academic Technician. The Academic Technician would work as a tutor and academic coach for the students, and manage the technology and Zoom a live instructor from Yuba College into the class 5 days a week.