Course Description (Main Areas)
INTRODUCTION TO HIGH SCHOOL ALGEBRA 1-2 –
1010, 1011 Grade 9
Introduction to High School Algebra is a course designed to develop skills
required to be successful in Algebra 1. Mathematical content includes number
sense, patterns and functions, and problem solving. This course will meet
High School graduation requirements.
ALGEBRA 1-2 – 1030, 1031 Grades 9-12
Recommended Prerequisite: C or higher in Pre-Algebra 2. Algebra 1 – 2 is a
logical and systematic extension of generalized arithmetic. Algebra 1 – 2
covers the four basic operations on the real numbers, solutions of first and
second degree equations in one variable, factoring, rational expressions,
solutions of inequalities, functions and relations, graphing linear
equations and inequalities, irrational numbers, and the quadratic formula.
Fundamental operations with algebraic representations and related
applications are studied. The average student spends from one-half to one
hour on homework daily.
GEOMETRY 1-2 – 1042, 1043 Grades 10-12
Recommended Prerequisite: C or better in Algebra 1 – 2. Geometry 1 – 2 is a
course designed to develop deductive reasoning and organized logical
thinking patterns. Through the development of definitions, theorems, and
corollaries dealing with points, lines, planes, angles, triangles, circles,
polygons, and other figures, the student is taught to follow a path of
logical reasoning in developing a formal geometric proof. The second
semester emphasizes the utilization of algebraic skills in solving geometric
problems. A course in geometry is required for the CSU math requirement.
HONORS GEOMETRY 1-2 – 1044, 1045 Grade 9
Recommended Prerequisite: Teacher recommendation. Honors Geometry is a
rigorous and accelerated course in which students focus on the development
of deductive reasoning and the organization of logical thinking patterns.
Specific areas of study include definitions, theorems, corollaries, and
geometric proof. Extended topics will include coordinate geometry,
non-Euclidean geometry, and introduction to conic sections.
ALGEBRA 3-4 – 1035, 1036 Grades 10-12
Recommended Prerequisite: "C" or higher in Algebra 1-2 and Geometry
This course is a review of first-year algebra. New topics include conic
sections, logarithms, and functions. It is intended for college bound
students who may or may not be math or science majors.
HONORS ALGEBRA 3-4 – 1032, 1033 Grades
9-12
Recommended Prerequisite: "A" or "B" in Algebra 1-2 and Geometry.1-2 This
course is a continuation of Algebra 1-2, starting with a comprehensive
review. New topics include functions, logarithms, solving inequalities, high
degree equations, conics, matrices, trigonometry, complex numbers,
probability, and statistics. Students will be introduced to the graphic
calculator.
TRIGONOMETRY – 1037 Grades 11-12
Recommended Prerequisite: "C" in Algebra 3-4 or passing grade in Honors
Algebra 3-4
This is a one-semester course in trigonometry. Topics covered include
special triangles, the unit circle, using the calculator, graphing functions
and inverses, solving trigonometric identities and equations, solving
triangles, and vectors.
STATISTICS – 1039 Grades 11-12
Recommended Prerequisite: "C" or higher in Algebra 3-4 Statistics is a
college preparatory course that will introduce students to the major
concepts and tools for collecting, analyzing, and drawing conclusions from
data. Probability and counting methods are included. Students will apply
descriptive and inferential statistics to a wide range of disciplines.
College Algebra 1-2 – 1054, 1055 Grade 12
Recommended Prerequisite: Algebra 3-4 or Trigonometry/Statistics College
Algebra is a college-preparatory course which will focus on the study of a
variety of mathematical functions. Upon satisfactory completion of this
course the student will be ready to enroll in an accredited college Algebra
course. That is, this course provides an opportunity for a student to enter
college without having to take remedial mathematics. At the end of the year
the Entry Level Mathematics (ELM) will be administered and students will be
able to opt out of any remedial math college courses. This course may be
used to meet the UC/CSU “C” or “G” requirement.
AP STATISTICS 1-2 – 1064, 1065 Grades
11-12
Recommended prerequisite: Completion or concurrent enrollment in Honors
Pre-Calculus This course is designed to introduce students to the major
concepts and tools for collecting, analyzing, and drawing conclusions from
data. Topics introduced include the exploratory analysis of data and
numerical techniques to study patterns, methods of valid data collection,
probability, and confirming models through statistical inference. This
course specifically prepares students for the Advanced Placement Exam in
Statistics.
HONORS PRE-CALCULUS – 1050, 1051 Grades
10-12
Recommended Prerequisite: “B” or higher in Honors Algebra 3-4 This course is
for advanced college prep students. It provides the foundation for students
to proceed onto Calculus. Reviews are done of trigonometry, geometry, and
algebra. It introduces the study of polynomials including synthetic
division, graphing, limits, and derivatives. Students will expand their
proficiency with a graphing calculator.
ADVANCED PLACEMENT CALCULUS AB 1-2 – 1060,
1061 Grades 11-12
Recommended Prerequisite: “B” or higher in Honors Pre-Calculus and teacher
recommendation This course is a college-level class for students who have
completed the equivalent of 4 years of college preparatory mathematics.
Students will receive little or no review. Topics include derivatives,
differentials, integrations, and applications. Many problems are atypical
and require students to synthesize new solutions. A graphing calculator is
required. The course is designed to prepare students to take the College
Board’s Advanced Placement Exam for Calculus AB. Meets the UC “C” or “G”
requirement. For a more detailed description, see PUSD Academic Standards or
The Calculus AB syllabus, published by ETIS.
ADVANCED PLACEMENT CALCULUS BC 1-2 – 1062,
1063 Grade 12
Recommended Prerequisite: Approval of instructor, “A” in Honors
Pre-Calculus, or “B” grade or better in Calculus AB 1-2 This course is for
students who have completed four years of college preparatory math including
Calculus AB. There is a review and extension of Calculus AB. New topics
covered include parametric equations, vector functions, more indeterminate
forms of limits, polar curves, advanced integration technique, infinite
series, and Taylor polynomials. This course specifically prepares the
students to take the College Board’s Advanced Placement Exam for Calculus BC