The mathematics department has written up the standards of the various disciplines in math and they can be downloaded below:
Introduction: High school graduation requires a minimum of 20 units of Math, and must include passing Algebra 1 or its equivalent. The paths below are models to be used as guidelines only in creating your own unique program. Consult your SHS Course Catalog for ideas and ask your parents, teachers and counselor for suggestions in developing a meaningful fouryear plan which will best prepare you for your particular postgraduation plans. The future is yours; plan for it!
Path 
8 
9 
10 
11 
12 
Intensive College Prep 
Algebra 1 
Intensive Geometry 
Intensive Algebra 2 
Precalculus or Honors Precalculus 
AP Calculus or AP Statistics 
College Prep 
Algebra Readiness 
Algebra 1 
Geometry or Intensive Geometry 
Algebra 2/Algebra 2 Honors 
PreCalculus/PreCalculus Honors 
High School Graduation 
PreAlgebra 
Algebra Readiness 
Algebra 1 
Geometry or Intensive Geometry (optional, but recommended) 
Algebra 2 or Algebra 2 Honors (optional, but recommended) 
High School Graduation 
Algebra Readiness 
Algebra 1 
Geometry or Intensive Geometry 
Algebra 2/Algebra 2 Honors (optional, but recommended) 
PreCalculus/PreCalculus Honors (optional, but recommended) 
Course Descriptions
ALGEBRA 1*
Grade 
Duration 
Credits 
Repeat Status 
912 
Year 
5/5 
No 
Fulfills Requirements: Math for SHS, for UC/CSU, c Prerequisite: Algebra Readiness or teacher recommendation Course Description: This course is designed to meet the California state requirement for Algebra 1. Its topics include operations of real numbers, equations and their applications, graphing, systems of equations, exponents and radicals, polynomials and factoring, quadratic functions and equations, rational expressions. Students must pass Algebra 1 (or its equivalent in Algebra 2) to graduate. * Also Sheltered Algebra 1
GEOMETRY
Grade 
Duration 
Credits 
Repeat Status 
1012 
Year 
5/5 
No 
Fulfills Requirements: Math for SHS, for UC/CSU, c Prerequisite: "C" or better Algebra 1 Course Description: Geometry is designed for students who have completed Algebra I. The content includes undefined and defined terms, deductive reasoning versus inductive reasoning, perpendicular lines, parallel lines, parallel planes, component triangles, similar polygons, circles, arcs, angles, constructions, loci, coordinate geometry, areas and volumes of geometric figures, graphing, and basic right triangle trigonometry. Both proofs and practical applications will be studied with respect to the above topics.
INTENSIVE GEOMETRY
Grade 
Duration 
Credits 
Repeat Status 
912 
Year 
5/5 
No 
Fulfills Requirements: Math for SHS, for UC/CSU, c Prerequisite: "B" or better in Algebra I. Freshmen must have an excellent score on the SHS placement test as well as a teacher recommendation and a satisfactory GPA. Course Description: This course will study proofs and applications of angle relationships, perpendicular lines, parallel lines and planes, component triangles, similar polygons, constructions, loci, coordinate geometry, areas and volumes. Trigonometry and symbolic logic may also be introduced. Recommended for math and physical science majors.
ALGEBRA 2
Grade 
Duration 
Credits 
Repeat Status 
1012 
Year 
5/5 
No 
Fulfills Requirements: Math for SHS, for UC/CSU, c Prerequisite: A "C" or better in Algebra and Geometry Course Description: This course is designed for collegeprep students who would like to continue their study in algebra but who do not intend to pursue a math or physical science major. Topics of study include systems of numbers, polynomials and rational expressions, linear equations and inequalities, coordinate geometry, relations and functions, quadratic functions, conic sections and trigonometry. Sequences and series may be included if time permits.
INTENSIVE ALGEBRA 2
Grade 
Duration 
Credits 
Repeat Status 
912 
Year 
5/5 
No 
Fulfills Requirements: Math for SHS, for UC/CSU, c Prerequisite: Previous teacher recommendation. Freshmen must have an excellent score on the SHS Placement Test, a satisfactory GPA and a teacher recommendation. Course Description: This course is open to freshman students with an exceptionally strong history of high math achievement who are also motivated to accelerate their math education. Topics will include systems of numbers, polynomials, rational expressions, linear equations and inequalities, coordinate geometry, relations and functions, quadratic functions, systems of sentences, real exponents, logarithmic functions, conic sections, sequences and series. May also include probability, statistics, trigonometry, matrices, determinants and vectors. Recommended for math and science majors. Much selfdiscipline is required in this course.
PRECALCULUS/ANALYTICAL GEOMETRY
Grade 
Duration 
Credits 
Repeat Status 
1012 
Year 
5/5 
No 
Fulfills Requirements: Math for SHS, for UC/CSU, c, g Prerequisite: "C" in Alg 2 or Intensive Alg 2 or previous teacher recommendation Course Description: This course studies the advanced algebra topics necessary for calculus. The topics will include real and complex numbers, functions, graphs, polynomials, and rational functions, exponential and logarithmic functions, trigonometric functions, conics, systems of equations, sequences and series, and an introduction to calculus.
PRECALCULUS/ANALYTICAL GEOMETRY (Honors)
Grade 
Duration 
Credits 
Repeat Status 
1012 
Year 
5 
No 
Fulfills Requirements: Math for SHS, for UC/CSU, c, g Prerequisite: Previous teacher recommendation Course Description: This is a very challenging, fastpaced course with major emphasis on an introduction to calculus.
AP CALCULUS (B/C)
Grade 
Duration 
Credits 
Repeat Status 
1012 
Year 
5/5 
No 
Fulfills Requirements: Math for SHS, for UC/CSU, c, g Prerequisite:Pass both semesters of PreCalculus or Honor's PreCalculus Course Description: AP Calculus is a universitylevel calculus course intended for those who may wish to continue to advanced work in mathematics, the sciences, engineering or business at the college level. The course content and expectations will conform to the Advanced Placement Calculus BC curriculum as described in the current College Board "acorn" book. These topics include: functions and graphs; derivatives (concept of derivative, techniques for finding derivatives, and application of derivative); integrals (interpretations applications of integrals, applications of integral, techniques of antidifferentiation); polynomial approximations and aeries. Students are expected to take the AP Calculus BC Exam in May
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AP Statistics
Grade 
Duration 
Credits 
Repeat Status 
1012 
Year 
5/5 
No 
Fulfills Requirements: Math for SHS, for UC/CSU, c, g Prerequisite: Algebra 2 with a grade of A or B both terms or consent of instructor Course Description: The purpose of this course is to introduce students to the major concepts and tools for collecting, analyzing, and drawing conclusions from data. Students are exposed to four broad conceptual themes:
 Exploring Data: Describing patterns and departures from patterns
 Sampling and Experimentation: Planning and conducting a study
 Anticipating Patterns: Exploring random phenomena using probability and simulation
 Statistical Inference: Estimating population parameters and testing hypotheses
The advanced placement statistics course curriculum will be covered in two high school semesters. Students who successfully complete the course and examination may receive credit and/or advanced placement for a onesemester introductory college statistics course.
ALGEBRA READINESS (also SHELTERED ALGEBRA READINESS)
Grade 
Duration 
Credits 
Repeat Status 
911 
Year 
5/5 
No 
Fulfills Requirements: Math for SHS Prerequisite: None Course Description: This course is designed to prepare students for Algebra 1. Its topics include preliminary mathematical and arithmetic concepts and skills. Additionally, it introduces students to 3 Algebraic concepts that students will then build upon in Algebra 1.
TUTORING If your student is struggling with his/her homework, check out hotmath.com. It is a free resource for our students which shows the stepbystep process for solving math problems that have been assigned as homework. Contact your student’s math teacher for the password.
Contact your teacher for lists of private tutors in the Santa Cruz area.
