# Mathematics Course Descriptions

**Mathematics & Computer Science Chairperson: Mrs. Xiomara Velasquez**

**Algebra 1A**

Prerequisite: This course is required for all freshmen not enrolled in Algebra 1 or a higher math course.

(9) This course is equivalent to the 1st semester of Algebra 1. A student enrolled in Algebra 1A must take Algebra 1B in 10th grade. Students must complete Algebra 1B to earn the Algebra credit for the CSU and UC systems.

(Meets CSU/UC “c” requirement)

**Algebra 1B**

Prerequisite: Passing grade in Algebra 1A. A student receiving an A in Algebra 1A may take this course in Summer School.

(10) This course is equivalent to the 2nd semester of Algebra 1. A student enrolled in Algebra 1A must take Algebra 1B in 10th grade. Students must complete Algebra 1B to earn the Algebra credit for the CSU and UC systems.

(Meets CSU/UC “c” requirement)

**Algebra 1**

Prerequisite: Average of 60th percentile or higher on the Quantitative and Mathematics sections on the Placement Examination OR a minimum grade of 50 on both parts of Damien’s Algebra I Challenge Exam OR satisfactory completion of Math Review during summer school with a recommendation for placement in Algebra 1 (based on outcome of summer school benchmark assessments).

(9) A comprehensive course in the fundamentals of Algebra. Topics include equations, factoring, fractions, word problems, square roots, and quadratic equations.

(Meets CSU/UC “c” requirement)

**Honors Geometry**

Prerequisite: Minimum grade of 70 on Parts I and II on Damien’s Algebra I Challenge Exam, a minimum grade of “B” in Algebra 1 taken during Damien’s Summer School, or an “A” in both semesters of Algebra 1. Those who earn a “C” in Summer School may retake the Algebra 1 Placement Exam and earn at least a 70 on both parts in order to qualify for Honors Geometry.

(9) This course requires students to master a number of proofs as well as the concepts listed in the Geometry course description. This course requires a scientific calculator.

(Meets CSU/UC “c” requirement)

**Geometry**

Prerequisite: “C” OR higher in Algebra 1 or “C” or higher in Alegbra 1B.

(10-11) This course entails a consideration of angles, triangles, quadrilaterals, and other polygons, and circles, parallel lines in both planes and in space, areas and volumes. This course requires a scientific calculator.

(Meets CSU/UC “c” requirement)

**Algebra 2A**

Prerequisite: “C” or higher in Geometry. Required of sophomores or juniors students who do not qualify for Algebra 2.

(10-11) This course is equivalent to the 1st semester of Algebra 2. A student enrolled in Algebra 2A must take Algebra 2B in the 12th grade to earn credit for the CSU and UC Systems.

(CSU/UC Approval Pending)

**Algebra 2B**

Prerequisite: Passing grade in Algebra 2A. A student receiving an “A” in Algebra 2A may take this course during summer school.

(11-12) This course is equivalent to the 2nd semester of Algebra 2. A student enrolled in Algebra 2A must take Algebra 2B in the 12th grade or complete summer school to earn credit for the CSU and UC Systems.

(CSU/UC Approval Pending)

**Algebra 2**

Prerequisite: “C” or higher in 2nd semester of Geometry and “B” or higher in either semester of Algebra 1, with neither semester grade being a “D” or “F.”

(9-12) This course is to build upon the mathematical foundation established during first year Algebra and Geometry. Topics will include: a comprehensive knowledge of problem solving, relations and functions, irrational numbers, quadratic relations and systems of equations. This course requires a scientific calculator.

(Meets CSU/UC “c” requirement)

**Intermediate Algebra**

Prerequisite: “C” or higher in Geometry. Required of seniors who do not qualify for Algebra 2 or 2B.

(12) Intermediate Algebra is a college prep course designed to increase the Algebra I skills for students. Additionally, we will take the Algebra I skills and build upon Algebra II skill and content. Students will have enough knowledge to continue on in higher level mathematics as well as do well on college entrance exams. Concepts that receive focus are: linear equations and inequalities, graphs of lines, absolute values, radicals, parabolas, systems; polynomials and factoring, radicals, rational expressions and quadratics.

(CSU/UC Approval Pending)

**Honors Algebra 2 w/Trigonometry**

Prerequisite: Minimum score of 70 on Parts I and II on Damien’s Algebra I Challenge Exam and Damien’s Geometry Challenge Exam OR “B” or better in Honors Geometry OR an “A” in both Algebra 1 & Geometry.

(9-11) A rigorous combination of intermediate algebra and trigonometry topics which include equations and inequalities, functions and graphs, polynomial and rational functions, exponential and logarithmic functions, systems of equations, trigonometric functions and their applications, and sequences and series. This course requires a programmable graphing calculator.

(Meets CSU/UC “c” requirement)

**Precalculus**

Prerequisite: “B” or higher in both semesters of Algebra 2 or a “C” in Honors Algebra 2.

(10-12) This class will expand on the topics covered in Algebra 2 with the addition of exponential functions, logarithms, trigonometric functions. This course requires a programmable graphing calculator.

(Meets CSU/UC “c” requirement)

**Honors Pre-Calculus**

Prerequisite: Math Teacher Recommendation and either “C” or higher in in Honors Algebra 2 or “A” or higher in both semesters of Algebra 2.

(11-12) This course represents year 1 of the IB Mathematics SL or HL sequence. The course covers all non-calculus contents of the IB mathematics curriculum including: algebra of real and complex number systems, sequences and series, properties and applications of polynomial, exponential, logarithmic, and trigonometric functions, vectors in two- and three- dimensions, statistics and probability. Juniors who successful complete this course can complete year 2 of their IB math sequence through AP Calculus AB (for Mathematics SL) or AP Calculus ABC (for Mathematics HL).

(Meets CSU/UC “c” requirement)

**Introduction to College Mathematics**

Prerequisite: Completion of math sequence through Algebra 2.

(12) This class will review and reinforce topics from Algebra I, Geometry, Algebra II, and Statistics that are essential for success in future mathematics study, including general education college mathematics courses, college mathematics placement examinations, and standardized college admissions tests. This course requires a pro¬grammable graphing calculator.

(Meets CSU/UC “c” requirement)

**Advanced Placement Calculus AB (IB Math SL)**

Prerequisite: “B” or better in Honors Pre-Calculus, OR a “B” or better in both semesters of Pre-Calculus, OR an “A” in both semesters of Honors Algebra 2.

(10-12) This course covers the AB syllabus as prescribed by the College Board. Topics will include limits, derivatives and their rules, applications of differentiation, integrals and their applications, differential equations.

(Meets CSU/UC “c” requirement)

**Advanced Placement Calculus BC**

Prerequisite: “B” or better in Calculus AB OR a score of “3” or higher on the Advanced Placement Calculus AB exam.

(11-12) This course covers BC syllabus as prescribed by the College Board. Topics will include limits, derivatives and their rules, applications of differentiation, integrals and their applications, differential equations, parametric equations and polar coordinates, infinite series, vector applications.

(Meets CSU/UC “c” requirement)

**Calculus ABC (IB Math HL)**

Prerequisite: An “A” or better in both semeseters of Honors Pre-Calculus with teacher recommendation.

(12) This course covers the Advanced Placement Calculus AB & BC curriculum as prescribed by the College Board as well as the IB HL calculus content prescribed by the International Baccalaureate. Topics covered will include limits, derivatives and their rules, applications of differentiation, integrals and their applications, differen¬tial equations, parametric equations and polar coordinates, infinite series, and vector applications. The Calculus ABC curriculum is intended to prepare students for the AP Calculus BC exam and/or the IB Higher Level Math assessments.

(CSU/UC Approval Pending)

**Advanced Placement Statistics**

Prerequisite: “C” or higher in Pre-Calculus or Honors Algebra 2 with Trigonometry. 11th Grade students must be concurrently enrolled in AP Calculus.

(11-12) This is an introductory course on the modern methods of analyzing numerical data as dictated by the Advanced Placement syllabus. Topics include frequency distribution, measures of central tendency, measures of dispersion, probability theory, binomial and normal distribution, hypothesis testing, and linear regression.

(Meets CSU/UC “c” requirement)

**Differential Equations**

Prerequisite: An “A” in Advanced Placement Calculus BC and a score of “4” or higher on the Advanced Placement Calculus BC exam.

(12) Differential Equations as mathematical models, analytical, qualitative, and numerical approaches to differential equations & Laplace transform techniques.

(Meets CSU/UC “c” requirement)