MATHEMATICS Course Catalog

6 Semester/30 Credits and successful completion of Algebra II or Explorations In Data Science are minimum requirements.  A fourth year of math is strongly recommended for all students.

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

Mathematics courses are thoughtfully designed to promote a depth of understanding in content while fostering the skills needed for strategic problem solving, adaptive reasoning and critical thinking.  The progression of courses offered by the department provides the student with the opportunity to discover, strengthen and build confidence in their mathematical skills, while continually connecting content to relevant issues in the real-world. These goals are achieved by:

  • Hands-on and investigative learning activities using manipulatives and technology
  • Developing critical thinking through teaching overarching concepts
  • Fostering intellectual curiosity through integrated learning programs across the curriculum
  • Promoting a continual reflection processes and opportunity to show growth
  • Incorporating cooperative learning and leadership growth through class activities and projects
  • Integrating the Hallmarks of a Notre Dame Learning Community and the Education for Justice and Leadership (EJL) curriculum into all classes

Mathematics is an integral part of the STEM education strand and works with the science department to foster connections that extend beyond the classroom.  The department actively seeks connections to social justice issues through cross-curricular coordination with the social studies, English and religious studies departments.

College Prep Courses

Honors & Advanced Placement Courses

#MA1000 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 uses 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.
   
#MA2000 GEOMETRY           
10 credits - Grade(s) All
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.

#2000H GEOMETRY HONORS
10 credits - Grade(s) All
Prerequisite: Grade of B or better in Algebra I or Algebra I Honors or a teacher recommendation

In addition to 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 an architecturally based project at the end of the year.

#MA3000 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.

#MA3000H ALGEBRA II HONORS
10 credits - Grade(s) All
Prerequisite: Grade of B or better in Geometry or Geometry Honors or a teacher recommendation

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

#MA5000 TRIGONOMETRY/PRE-CALCULUS       
10 credits - Grade(s) All
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 pre-calculus 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 and sequences and series.

#MA5000H TRIGONOMETRY/PRE-CALCULUS HONORS
10 credits - Grade(s) All
Prerequisite: Grade of B or better in previous class or teacher recommendation 

In addition to the topics of trigonometry and precalculus, this accelerated course focuses on problem solving, extensive graphing techniques, extensive use of trigonometric identities, further applications in conic sections, parametric equations,counting techniques, probability and other topics as time permits.

#MA8000 CALCULUS
10 credits - Grade(s) 10, 11, 12
Prerequisite: C or better in Trigonometry/Precalculus or Trigonometry/Precalculus Honors

Calculus is the mathematics used to model motion and change.  This course will explore topics in Calculus, which includes limits, slopes of tangent lines, derivatives, and finding the area under and between curves.  This course will encourage students to represent these ideas numerically, analytically, and graphically, while providing the basis to be successful in calculus in college. This course does not follow the curriculum or pacing needed to take the Advanced Placement exam in May nor prepares students to take AP Calculus BC.

#MA8001AP CALCULUS AB – AP
10 credits - Grade(s) 10,11, 12
Prerequisite: Grade of B or better in Trigonometry/Precalculus or Trigonometry/Precalculus Honors or teacher recommendation

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.

#MA8002AP CALCULUS BC – AP
10 credits - Grade(s) 11, 12
Prerequisite: Grade of B or better in Calculus AB - AP or teacher recommendation

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.

#MA4000 EXPLORATIONS IN DATA SCIENCE (YouCubed Adaptable Curriculum)
10 credits - Grade(s) All
Prerequisites: Completion of Geometry with a grade of at least C

In this course, students will learn to understand, ask questions of, and represent data through project-based units.  The units will give students opportunities to be data explorers through active engagement, developing their understanding of data analysis, sampling, correlation/ causation, bias and uncertainty, modeling with data, making and evaluation data-based arguments, and the importance of data in society.  At the end of the course, students will have a portfolio of their data science work to showcase their newly developed knowledge and understanding.

#MA4500AP COMPUTER SCIENCE A - AP
10 credits - Grade(s) 10, 11, 12
Prerequisite: Grade of B or better in Computer Science Principles or teacher recommendation

This yearlong elective course is an introduction to programming using the JAVA programming language. Students use logic as the foundation to understand the basics of programming. Students build applications and games with specific scenarios. In the process, students learn a brief history of computers and the development of the higher-level languages, the fundamentals of programming, basic problem solving techniques, professional ethics, and the software development process. The programming focuses on the primitive data types, control structures, classes, objects, loops, arrays, inheritance, exceptions, GUIs, applets and algorithm analysis. Priority is given to seniors.

This course meets the A-G UC requirement for Mathematics.

10 credits - Grade(s) All

In this course, students will study statistical concepts encountered every day in newspapers, sports, business, psychology and government. Through this course, students will be able to determine how statistics are used to illustrate data and to distinguish between valid statistical use and statistical abuse. Topics covered in this course include an introduction to statistics, descriptive statistics, probability, discrete probability distributions, normal probability distributions, linear regression, confidence intervals hypothesis testing with one sample and hypothesis testing with two samples.

#MA6000S STATISTICS - SEMESTER
10 credits - Grade(s) All

In this course, students will study statistical concepts encountered every day in newspapers, sports, business, psychology and government. Through this course students will be able to determine how statistics are used to illustrate data and to distinguish between valid statistical use and statistical abuse. Topics covered in this course include an introduction to statistics, descriptive statistics, normal distributions, linear regression and an introduction to probabilities.

#MA6000SH STATISTICS HONORS - SEMESTER
10 credits - Grade(s) All
Prerequisites: Grade of B or better in previous class or teacher recommendation.

In this course, students will study statistical concepts encountered every day in newspapers, sports, business, psychology and government. Through this course students will be able to determine how statistics are used to illustrate data and to distinguish between valid statistical use and statistical abuse.  Topics covered in this course include an introduction to statistics, descriptive statistics, normal distributions, linear regression, and an introduction to probabilities. In this honors course, students will have the opportunity to dive deeper into concepts and practice critical thinking around mathematical ideas. Projects are differentiated to allow for this deeper dive and analysis.

#MA6000H STATISTICS HONORS - YEAR
10 credits - Grade(s) All
Prerequisites: Grade of B or better in previous class or teacher recommendation.

In this course, students will study statistical concepts encountered every day in newspapers, sports, business, psychology and government. Through this course students will be able to determine how statistics are used to illustrate data and to distinguish between valid statistical use and statistical abuse. Topics covered in this course include an introduction to statistics, descriptive statistics, probability, discrete probability distributions, normal probability distributions, linear regression, confidence intervals hypothesis testing with one sample and hypothesis testing with two samples. In this honors course, students will have the opportunity to dive deeper into concepts and practice critical thinking around mathematical ideas. Projects are differentiated to allow for this deeper dive and analysis.

#MA9000S MATH TEACHING INTERNSHIP
5 credits - Grade(s) 11, 12
Prerequisite: Recommendation from the Math/Science Cohort Lead 

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. This opportunity is contigent on alignment with the student's schedule.