MATH
PREALGEBRA
GRADE 912
10 CREDITS YEAR
PREREQUISITE: Case Carrier/IEP
A course designed to strengthen the fundamental arithmetic skills of the student and to help the student understand how to apply them as a consumer in the world today. Successful completion of the course should provide the student with the background necessary to continue on in the mathematics college preparatory curriculum.
APPLIED ALGEBRA  ROP
GRADES 11 – 12
10 CREDITS YEAR
PREREQUISITE: Placement based upon recommendation.
Applied Algebra is an ROP course that provides a basic approach to the fundamentals of Algebra I. The text used reviews content standards for Grade 6 through Algebra I.
ALGEBRA A
GRADES 912
10 CREDITS YEAR
PREREQUISITE: “C” or better in PreAlgebra or placement based on exit criteria in middle school.
This course is designed for those students requiring some strengthening of their fundamental arithmetic skills and a slower pace in acquiring a solid foundation in Algebra. Together, Algebra A and Algebra B will be accepted by Diamond Bar High School and colleges for one year of Algebra. (UC/CSU/NCAA)
ALGEBRA B
GRADES 912
10 CREDITS YEAR
PREREQUISITE: “C” or better in Algebra A
This course is the second year of the two year Algebra I sequence as described in Algebra A, above. The student who has successfully completed one semester of Algebra I and needs a slower pace for the second semester will find this class fills that need. Together, Algebra A and Algebra B will be accepted by Diamond Bar High School and colleges for one year of Algebra. (UC/CSU/NCAA)
BUSINESS MATH
GRADES 1012
10 CREDITS YEAR
This course introduces students to the world of finance using practical math skills and personal applications. Utilizing technology and a variety of projects, students learn about managing money, spending wisely, making money grow, and the basics of business management in a global economy. (Applied Arts/Math)
ALGEBRA I
GRADES 912
10 CREDITS YEAR
PREREQUISITE: Placement based on exit criteria in middle school
In this class the student will receive a foundation in fundamental operations with real numbers. The student will study topics including solutions of equations and inequalities, graphing linear functions, working with functional notation, operations with polynomials, discrete math, and verbal problem solving. (UC/CSU/NCAA)
GEOMETRY
GRADES 912
10 CREDITS YEAR
PREREQUISITE: “C” or better in Algebra I or Algebra B, or placement based on exit criteria in middle school
This course provides an extension of the concept of a formal proof, develops logical thinking, covers the foundations of Euclidean Geometry, and will develop coordinate geometry including the indepth study of lines, discrete math, and work with conic sections. (UC/CSU/NCAA)
ALGEBRA II
GRADES 912
10 CREDITS YEAR
PREREQUISITE: “C” or better in Geometry
This course represents a deeper investigation and extension of the topics of Algebra I and Geometry. Topics that will be covered include operations with rational polynomial expressions, threedimensional linear systems, determinants, quadratic theory, study of the complex number system, discrete math, and basic trigonometry. (UC/CSU/NCAA)
ALGEBRA II/TRIGONOMETRY HONORS
GRADES 910
10 CREDITS YEAR
PREREQUISITE: Grade of “B” or better in second semester of Algebra I and “B” or better in second semester of Geometry. Because this class is so much more difficult than a regularlypaced math class, students without “A’s” in Algebra or Geometry are encouraged to take Algebra II.
This course will provide a rigorous foundation in operations with rational polynomial functions, function analysis, 3dimensional linear systems, determinants, quadratic theory, operations in the complex number system, discrete math, and an intensive study of trigonometry. This is a fastpaced course that covers three semesters of high school mathematics in one year. (UC/CSU/NCAA)
TRIGONOMETRY/SUMMATIVE MATH
GRADES 912
10 CREDITS YEAR
PREREQUISITE: “C” or better in Algebra II
This course is designed to address the standards from the Trigonometry and Mathematical Analysis portions of the California State standards at a more moderate pace than the TRIGONOMETRY/MATH ANALYSIS course. A student who successfully completes this course with a “B” or higher will be prepared to enter a college calculus class. The first semester will begin with a review of major concepts from Algebra 2, followed by the study of trigonometry and its applications, including the foundations of polar coordinates and discrete math. The second semester included the study of vectors and complex numbers, functional analysis, logarithms, conic sections, and limit problems like the definition of a derivative. This course is not a prerequisite for any further mathematics courses at DBHS. (UC/CSU/NCAA)
TRIGONOMETRY/MATH ANALYSIS
GRADES 912
10 CREDITS YEAR
PREREQUISITE: “C” or better in Algebra II
A course designed for the student who will pursue studies in the field of mathematics, engineering, economics, accounting, or the sciences. The student who successfully completes this course will be fully prepared to enter a college calculus class. The first semester will rigorously cover trigonometry and its applications, as well as the foundations of polar coordinates, discrete math, vectors and complex numbers. The second semester includes introductions to functional analysis, logarithms, conic sections, derivatives and integrals and their physical applications, higher degree equations, and the limit. (UC/CSU/NCAA)
MATHEMATICAL ANALYSIS/CALCULUS HONORS
GRADES 1012
10 CREDITS YEAR
PREREQUISITE: Grade of “B” or better in both semesters of Algebra II/Trigonometry Honors
This course will begin by covering trigonometry extensively. All topics of Calculus A and Calculus B will then be covered. Students will be fully prepared to take the Advanced Placement Calculus AB examination in early May. Students will then learn polar form of rectangular and complex numbers, vector applications, DeMoivre’s Theorem, and Mathematical Induction. (UC/CSU*/NCAA) Revised as of March 19, 2015
CALCULUS I (AB) AP
GRADES 1012
10 CREDITS YEAR
PREREQUISITE: “C” or better in Trigonometry/Math Analysis, or grade of “C” or better in Mathematical Analysis Honors or teacher recommendation.
An interesting and rigorous course of the calculus and analytic geometry equivalent to the first two college courses. The course is designed to prepare the student to pass the Advanced Placement Calculus AP examination. A satisfactory score on the test may result in university or college credit towards graduation
in mathematics. (UC/CSU*/NCAA)
CALCULUS II (BC) AP (MATH IB HL1)
GRADE 1112
10 CREDITS YEAR
PREREQUISITE: “C” or better in Calculus AP I, or grade of “C” or better in Mathematical Analysis Honors or teacher recommendation.
An interesting, rigorous course of calculus to follow the first year of Advanced Placement Calculus. This course is designed to prepare the student to pass the Advanced Placement Calculus BC examination. A satisfactory score on this test may result in the university or college credit towards graduation in mathematics. It will cover a small review and the topics of infinite sequences and series, advanced integration techniques and applications, differential equations, and vector analysis. (UC/CSU*/NCAA)
STATISTICS AP (Advanced Placement)
GRADES 11  12
10 CREDITS YEAR
PREREQUISITE: “B” or better in Algebra II or “C” or better in Algebra II/Trigonometry Honors 2nd semester or a grade of “B” or better in Trigonometry/Summative Math.
This course is equivalent to an introductory noncalculus based, collegelevel course typically taught in one semester. The course will introduce students to the major concepts and tools for collecting, analyzing, and drawing conclusions from data. Students are exposed to four broad conceptual themes: exploratory analysis of data, planning a study, anticipating patterns, and statistical inference. The course is designed to prepare the student to pass the AP Statistics Exam given by the College Board. A satisfactory score may result in university credit. A graphing calculator with statistics capabilities is required. (UC/CSU*/NCAA)
MATHEMATICS HL/2ND YEAR
GRADE 12
10 CREDITS YEAR
PREREQUISITE: “B” or better in IB Higher Level Math 1 or AP Calculus 2 (BC)
This is an honors course for students who have taken IB Higher Level Math 1 or AP Calculus 2 (BC) with a good background in mathematics who are competent in a range of analytical and technical skills. It is the second year of a twoyear course to prepare students for the optional IB Math HL exam. In this course, as in all mathematics courses, there are clear differences in notation and emphasis that appear across various cultures, and the placement of discoveries in mathematics within certain cultures or periods of history is nontrivial. The content of the course includes higher levels of algebra, functions, trigonometry, matrices, 3D vectors, statistics and probability, calculus, infinite series, and differential equations. Mathematics is a unifying subject that places students within a global society. This course is designed with this idea in mind. (UC/CSU*/NCAA)
THEORY OF KNOWLEDGE
GRADE 12
10 CREDITS YEAR
PREREQUISITES: Students must be seniors in good standing in the International Baccalaureate Diploma Program.
The Theory of Knowledge course is offered to senior students in the International Baccalaureate Diploma Program. With an interdisciplinary approach, the Theory of Knowledge will challenge the students to address the question, "How do I, or how do we, know that a given assertion is true or a given judgment is wellgrounded." Throughout the course the students will focus on the way in which cultural paradigms hinder and/or assist in the quest for the truth. The format of the course is based on inquiry and discussion. Participation of students in all classroom activities is vital for their success in this course. Students will be required to contribute as individuals and as part of cooperative groups. (UC/CSU* “G” Elective/NCAA)
