### MATHEMATICS

#### 6 semesters/30 credits required - Completed in regular session

#### Successful completion of Algebra II or Data Science 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 or Data Science. Exceptions may be made with the prior approval of the Math/Science Cohort Lead. Please visit the STEAM page to view a chart of course sequence.

**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. 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 II Honors by Notre Dame students currently enrolled in Algebra I as a freshman if they meet the following criteria:

- Completion of one full year of Algebra I 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/Science Cohort Lead.
- Enroll in an accredited summer school program. Enrollment at tutoring centers does not qualify.
- Students may advance to Algebra II with 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 Co-Coordinator of the Mathematics and Science Cohort for grade verification. The student will be required to take a department exam and score at least an 87% **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, Calculus AB, Calculus BC, Data Science, Statistics, or Computer Science A Advanced Placement.**

**As they prepare for college, most students are required to take some form of standardized math test—SAT, SAT SUBJECT, ACT during their senior year. **

**Students may use calculators in all courses most of the time. The Texas Instruments TI-84 is required for all students graduating in 2022 or sooner. Students enrolled in the class of 2023 or later will be required to use the TI-Nspire CXII (non-CAS). ** **It is recommended that all students enrolled in Calculus AB or BC use the TI-Nspire CXII (non-CAS).** 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 Courses

- Algebra I
- Geometry
- Algebra II
- Trigonometry / Pre-Calculus
- Calculus
- Explorations in Data Science (YouCubed Adaptable Curriculum)
- Statistics (year)
- Statistics (semester)
- Math Teaching Internship

### Honors & Advanced Placement Courses

- Geometry Honors
- Algebra II Honors
- Trigonometry/Pre-Calculus Honors
- Calculus AB: Advanced Placement
- Calculus BC: Advanced Placement
- Computer Science A: Advanced Placement

#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/PRECALCULUS

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 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, sequences and series, counting techniques and probability. If time permits, an introduction to limits is also included.

#2058 CALCULUS

5 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.

#2073 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.

#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 an introduction to statistics, descriptive statistics, probability, discrete probability distributions, 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.

#2070SEM STATISTICS

5 credits - Grade(s) 11, 12

Prerequisites: Completion of Algebra II with a grade of at least C

In this Fall 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.

#2065 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.

### Honors & Advanced Placement Program

#2035 GEOMETRY HONORS

10 credits - Grade(s) 9, 10

Prerequisite: Successful completion of Algebra I; teacher recommendation

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: Successful completion of Algebra I and Geometry or Geometry Honors; teacher recommendation

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/PreCalculus, 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 – ADVANCED PLACEMENT

10 credits - Grade(s) 10,11, 12

Prerequisite: submission of an application; successful completion of Trigonometry/PreCalculus or Trigonometry/PreCalculus Honors; teacher recommendation

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 – ADVANCED PLACEMENT

10 credits - Grade(s) 11, 12

Prerequisite: successful completion of Calculus AB - Advanced Placement

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. **

##### #2080 COMPUTER SCIENCE A: ADVANCED PLACEMENT

10 credits - Grade(s) 10, 11, 12

Prerequisite: Completion of an introductory programming course offered at Notre Dame OR outside experience shown through the passing of a placement exam

Fee: Advanced Placement Exam

This yearlong elective course is an introduction to programming using the JAVA programming language. Students will be using a gaming platform to understand the basics of programming. Students will build applications and games with specific scenarios. In the process, students will 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 focus will be 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