Six semesters are required and must be completed in regular session.  Successful completion of Algebra II is a minimum requirement.

[Unless otherwise noted, all academic courses in this department meet both CSU and UC entrance requirements]

Sequence of Courses

The customary sequence is Algebra I, Geometry, and Algebra II.  Exceptions may be made with the prior approval of the department chairperson.

DOUBLING UP:  A student may petition to enroll in Geometry/Geometry Honors and Algebra II/Algebra II Honors concurrently.  A student may elect to take one or none of these courses at the honors level.  It is highly recommended that Algebra II Honors be taken.  Petitions are available from the department chairperson or current Algebra I teacher. To be eligible, the student must have at least a 98% in her Algebra I class.  A student must maintain a B average in both courses or the Algebra II/Algebra II Honors will be dropped at the semester.

Summer School

No credit towards graduation requirements is given for courses taken in summer school. Summer school courses are taken for the following purposes:

  • To make up credit lost because of an “F” grade.
  • To improve skills (and grade) of a prior course.
  • For enrichment.

Courses taken in summer school will be recorded on the individual student’s official transcript but will receive no credit towards the graduation requirement of three years of mathematics taken on the Notre Dame campus.

Note: Geometry may be taken over the summer to advance to Algebra 2 Honors by Notre Dame students currently enrolled in Algebra 1 as freshman if they meet the following criteria:

  • Completion of one full year of Algebra 1 at Notre Dame, with a grade of at least an A both semesters.
  • Maintain an overall freshman year GPA of 3.7.
  • Submit an application for pre-approval of the summer school class to the Math Department chairperson.
  • Enroll in an accredited summer school program.  Enrollment at tutoring centers does not qualify.
  • Earn at least a B+ in the summer school Geometry class.

After the summer school course is completed, send summer school transcripts (not copies of report cards) to the Notre Dame registrar AND the Mathematics department chairperson for grade verification.  The student will be required to take a department exam and score at least an 85% before enrolling in the next course in the sequence.

The current requirement for Mathematics study at Notre Dame is three years. The Mathematics Department strongly recommends that all students enroll in a fourth year of math, choosing from Trigonometry/PreCalculus, Calculus AB, Calculus BC, Statistics, or Finite Math.

As they prepare for college, most students are required to take some form of standardized math test—SAT, SAT II, ACT, ELM during their senior year.  In a recent communication from the Office of the Chancellor of the California State University, “All students are encouraged to take Mathematics in their senior year of high school since students whose last math course was completed in the junior year or earlier often have difficulties with the required college-level mathematics courses and with the Entry Level Mathematics (ELM) requirement.” (Focus on Mathematics booklet, CSU)

Calculators

Students may use calculators in all courses most of the time.  The Texas Instruments TI-84 (any edition) is required for all courses.  It is not the intent of this policy to imply that calculators may be used at all times.  In order to teach and reinforce critical thinking skills, it may be necessary to disallow calculators for particular topics and/or tests.

College Prep Classes

Honors & AP Classes

#2010 ALGEBRA I             
10 credits - Grade 9
Prerequisite: None

Algebra I is an introductory course in the symbolic language of mathematics.  In Algebra I, the traditional mathematical concepts of addition, subtraction, multiplication, division, raising to a power, and taking a root are extended to expressions that contain unknown quantities.  This course works with data from science, emphasizes techniques for data analysis, and use technology tools such as the graphing calculator to help visualize important concepts.  Other topics such as statistics, probability, and discrete math may be added as time permits.
   
#2030 GEOMETRY           
10 credits - Grade(s) 9, 10, 11
Prerequisite: C- or better in Algebra I

Geometry is a course in inductive reasoning and logical thinking, consisting of taking given information and using it along with acquired knowledge to arrive at a logical conclusion. Investigations into postulates, theorems, and definitions are the key tools used in this process. Transformations and symmetry are introduced to acquire specific knowledge of their properties and to help illustrate the logical processes.  The geometric figures (triangle, parallel lines, parallelograms and other selected polygons and circles) and their properties are also cornerstone concepts developed in this course.  Students will incorporate geometric concepts and work collaboratively on an architecturally based project at the end of the year.

#2040 ALGEBRA II           
10 credits - Grade(s) 10, 11, 12
Prerequisite: C- or better in Algebra I

Algebra II expands upon the topics of Algebra I and takes a graphical approach to the study of functions and equations, linear, quadratic, cubic and some higher order functions.  The course includes complex numbers, exponential functions, and logarithms, as well as other related topics.

#2050 TRIGONOMETRY/PRE-CALCULUS       
10 credits - Grade(s) 10, 11, 12
Prerequisite: C or better in Algebra II or Algebra II Honors

This yearlong course takes a graphical approach to the in-depth study of trigonometry and PreCalculus topics.  The course focuses on the equations and graphs of various types of functions as well as the operations and applications of vectors, polar coordinates, logarithms, conic sections, sequences and series, counting techniques and probability.  If time permits, an introduction to limits is also included.

#2068 FINITE MATH
5 credits - Grade(s) 11, 12
Prerequisite: Completion of Algebra II with a grade of at least C-
UC approval pending

This course will introduce students to Finite Math concepts that are taught at the college level.  The class will cover topics in Problem Solving techniques, Set Theory, Logic, Linear Programming, Counting Techniques, Statistics, Finance and other topics as time allows.  This course is designed for those students who would like to complete a 4th year of math when combined with the semester Statistics course.  In college, this class is usually taken by those who are pursuing a degree that does not include Calculus as a prerequisite.  Priority is given to those students who do not qualify for either Trigonometry/PreCalculus or Calculus  AB/BC.

#2070SEM STATISTICS           
5 credits - Grade(s) 11, 12
Prerequisite: Completion of Algebra II

In this one semester course the student will study some of the basic concepts of statistics and probability as encountered every day in the newspapers, sports, business and government.  Through this course students will be able to determine what the statistics are illustrating and to distinguish between valid statistical use and statistical abuse. Topics covered include an introduction to statistics, descriptive statistics, probability and discrete probability distributions.  This course is designed for those students who would like to complete a 4th year of math when combined with the semester Finite Math course. Priority is given to those students who do not qualify for either Trigonometry/PreCalculus or Calculus AB/BC.

#2070YR STATISTICS
10 credits - Grade(s) 11, 12
Prerequisites: Completion of Algebra II with a grade of at least C-

The student will study some of the concepts as encountered every day in the newspapers, sports, business and government. Through this course students will be able to determine what the statistics are illustrating and to distinguish between valid statistical use and statistical abuse. Topics covered in this course include those covered in the semester course as well as normal probability distributions, confidence intervals hypothesis testing with one sample and hypothesis testing with two samples. Priority is given to those students who do not qualify for either Trigonometry/Precalculus or Calculus AB/BC.

#2065 Math Teaching Internship
5 credits - Grade(s) 11, 12
Prerequisite: Recommendation from the Math department chair 

The student will assist in the Algebra I or Geometry classroom.  Specific duties include but not limited to helping students learn new concepts, working one-on-one with students for extra support, reteaching concepts and assisting with classroom activities.

Honors Program
Prerequisites for Honors Courses in Mathematics

Course being applied for: Grades must be maintained throughout the year
Geometry Honors

9th grade – based on the Math Placement test and HSPT scores

10th grade – Algebra I grade of A or better

Algebra II Honors

Algebra I grade of A or better for both semesters
                                 AND
Geometry grade of A- or better OR Geometry Honors grade of B+ or better  OR
Geometry or Geometry Honors taken concurrently with petition

Honors Trig/PreCalculus

Completion of Algebra II with a grade of A- or better  -  - or - -

Completion of Algebra II Honors with a grade of B or better

Calculus AB-AP

Submission of an application
Minimum requirements:

Completion of Trig/PreCalculus with a grade of B or better - or – Trig/PreCalculus Honors with a grade of B- or better

Academic cumulative GPA of at least 3.7

Calculus BC-AP Completion of Calculus AB with a grade of C or better

#2035 GEOMETRY HONORS                                                                                 
10 credits - Grade(s) 9, 10
Prerequisite: see Prerequisites for Honors Courses in Mathematics

In addition to the topics of Geometry, this accelerated course focuses on problem solving, logic, formal proof, advanced constructions and additional topics as time permits. Students will incorporate geometric concepts and work collaboratively on a year-long, cross-curricular City Project culminating in a capstone presentation.
 
#2045 ALGEBRA II HONORS        
10 credits - Grade(s) All
Prerequisite: see Prerequisites for Honors Courses in Mathematics

In addition to the topics of Algebra II, this accelerated second year course in Algebra will focus on problem solving and accuracy.  This course includes an in-depth study of matrices, sequences and series, and other topics as time permits.  

#2055 HONORS TRIGONOMETRY/PRE-CALCULUS       
10 credits - Grade(s) All
Prerequisite: see Prerequisites for Honors Courses in Mathematics

In addition to the topics of Trigonometry/Pre-Calculus, this accelerated course focuses on problem solving, extensive graphing techniques, extensive use of trigonometric identities, further applications in conic sections, parametric equations, an in-depth look at vectors and its applications and other topics as time permits.

#2060 CALCULUS AB –AP
10 credits - Grade(s) 10,11, 12
Prerequisite: see Prerequisites for Honors Courses in Mathematics
Fee: Advanced Placement Exam

Calculus is the mathematics of motion and change.  This course reviews the coordinate plane, then relates the rates of change of a function to that coordinate plane.  Topics studied are derivatives and their applications, integration and applications of the definite integral, transcendental functions, methods of integration and application to plane curves.
This course will prepare the student to take the AB level Advanced Placement Calculus Examination in May.  

#2063 CALCULUS BC – AP         
10 credits - Grade(s) 11, 12
Prerequisite: see Prerequisites for Honors Courses in Mathematics
Fee: Advanced Placement Exam

This yearlong elective course will include techniques and application of integration that are not included in Calculus AB, the Calculus of conics, parametric equations, polar coordinates and applications; infinite series, and vector equations.  Also included is an extensive review for the AP Calculus BC test.
This course will prepare the student to take the BC level Advanced Placement Calculus Examination in May.