# Mathematics

**Graduation Requirements: 30 Credits**

- 9th Grade: Algebra 1, Algebra Honors 1, Geometry, or Geometry Honors
- 10th Grade: Geometry, Geometry Honors, Algebra 2, Algebra 2 with Trig, Algebra 2 with Trig Honors
- 11th Grade: Algebra 2, Algebra 2 with Trig, Algebra 2 with Trig Honors, Probability & Statistics, Pre-Calculus, AP Calculus AB
- 12th Grade: Probability & Statistics, Pre-Calculus, AP Calculus AB, AP Calculus BC, AP Statistics

- Algebra 1
- Math Lab
- Algebra 1 (H)
- Geometry
- Geometry (H)
- Algebra 2
- Algebra 2 w/Trig
- Algebra 2 w/Trig (H)
- Probability and Statistics
- Advanced Algebra with Financial Applications
- Probability and Statistics (Blended)
- Intro to Computer Science
- AP Computer Principles

## Algebra 1

## Algebra 1

Course # M102

Status: UC, CSU & NCAA Approved

Credits: 10

Campus: Carondelet

Level: 9th Grade

Prerequisites: Results of placement test

This college preparatory course in algebra covers the traditional topics of Algebra 1: symbols and sets, variables, linear equations, the algebraic properties, inequalities, polynomials, fractional equations, systems, graphing, quadratic equations, and irrational numbers. Whenever possible there is an emphasis on word problems. A TI-83/84 calculator is required for this course.

## Math Lab

## Math Lab

Course # M600

Status: N/A

Credits: 10

Campus: Carondelet

Level: 9th Grade

Prerequisites: Results of placement test

Algebra 1 with Math Lab reviews essential mathematics skills and introduces students to the fundamental concepts of Algebra. In addition to becoming competent in preliminary Algebraic concepts through continual review of math fundamentals (fractions, percentages, decimals, ratios, etc.), students will become more confident in their overall math abilities. The Math Lab component of this course is an additional period within the school day set aside for students in this class to receive extra instruction and support for their development in Algebra.

## Algebra 1 (H)

## Algebra 1 (H)

Course # M103

Status: UC, CSU & NCAA Approved *

Credits: 10

Campus: Carondelet

Level: 9th Grade

Prerequisites: Results of placement test

*Note: Course receives honors credit on the Carondelet Transcript but is not recognized as a UC-CSU honors course.

Algebra 1 Honors is designed for students with some previous work in algebra and who possess a strong basic skills background. A more in depth approach will be taken with all traditional topics of Algebra 1; some topics of Algebra 2 will be included. A TI-83/84 calculator is required for this course.

## Geometry

## Geometry

Course # M201

Status: UC, CSU & NCAA Approved

Credits: 10

Campus: Carondelet

Level: 9th, 10th, 11th, 12th Grades

Prerequisites: Completion of Algebra 1

This course explores relations involving angles, parallel and perpendicular lines, planes, circles, triangles, and polygons. The basics of logic are introduced and the deductive proof-writing process is developed. Solving skills that the student learned in Algebra 1 will be used throughout the course. A TI-83/84 calculator is required for this course.

## Geometry (H)

## Geometry (H)

Course # M202

Status: UC, CSU & NCAA Approved *

Credits: 10

Campus: Carondelet

Level: 9th & 10th Grades

Prerequisites: Completion of Algebra 1 with an “A” or completion of Honors Algebra 1 with a “B”

*Note: Course receives honors credit on the Carondelet transcript, but is not recognized as a UC-CSU honors course.

This course covers more material than the standard course in geometry, and takes a more in depth approach with the concepts and includes proofs. Students will be expected to work at an accelerated pace. A TI-83/84 calculator is required for this course.

## Algebra 2

## Algebra 2

Course # M301

Status UC, CSU & NCAA Approved

Credits: 10

Campus: Carondelet

Level: 10th, 11th, & 12th Grades

Prerequisites: Completion of Algebra 1 with a “C-“ and completion of Geometry

This course builds on the concepts studied in Algebra 1 and Geometry and includes the structure of the real number system with an extension into the complex number system, polynomial, rational, exponential, and logarithmic functions, matrices, conic sections, sequences and series. A TI-83/84 calculator is required for the course.

## Algebra 2 w/Trig

## Algebra 2 w/Trig

Course # M310

Status: Pending UC, CSU & NCAA Approval

Credits: 10

Campus: Carondelet

Level: 10th, 11th, and 12th Grades

Prerequisites: Completion of Algebra 1 with a “B-“ and completion of Geometry with a “B-“

This course builds on the concepts studied in Algebra 1 and Geometry and includes the structure of the real number system with an extension into the complex number system, polynomial, rational, exponential, and logarithmic functions, matrices, conic sections, sequences and series, trigonometric functions, right triangle trigonometry and the unit circle. A TI-83/84 calculator is required for the course.

## Algebra 2 w/Trig (H)

## Algebra 2 w/Trig (H)

Course # M320

Status: UC, CSU, & NCAA Approved*

Credits: 10

Campus: Carondelet

Level: 10th & 11th Grades

Prerequisites: Completion of Honors Geometry with an “A” or by department approval

*Note: Course receives honors credit on the Carondelet transcript, but is not recognized as a UC-CSU honors course.

This course combines the material covered in both Algebra 2 and Pre-Calculus into one honors course designed to prepare students to advance directly to AP Calculus. The nature of graphs, trigonometric functions and their graphs, trigonometric identities, vectors, polar coordinates, complex numbers, conics, exponential and logarithmic functions, and sequences and series are all covered. Students are expected to work at an accelerated pace. A TI 83/84 calculator is required for this course.

## Probability and Statistics

## Probability and Statistics

Course # M403

Status: UC, CSU & NCAA Approved

Credits: 10

Campus: Carondelet/De La Salle

Level: 11th & 12th Grades

Prerequisites: Completion of Algebra 2 with a “C-“

An introduction to the fundamental concepts and methods of statistics and probability. Calculators and word problem comprehension are vital components to this course. This course consists of an introduction to descriptive statistics and statistical inference. Topics include basic measures of central tendency and variability, elementary probability theory, sample sizes, hypothesis testing, correlation, regression, and analysis of variation. A TI-83/84 graphing calculator is required for this course.

## Advanced Algebra with Financial Applications

## Advanced Algebra with Financial Applications

Course # M330

Status: Pending

Credits: 10

Campus: Carondelet

Level: 11th, & 12th Grades

Prerequisites: Completion of Algebra 1 and Geometry with a “C-“.

Advanced Algebra with Financial Applications is a mathematical modeling course that is algebra-based, applications-oriented, and technology-dependent. The course addresses college preparatory mathematics topics under seven financial umbrellas: Banking, Investing, Credit, Employment and Income Taxes, Automobile Ownership, Independent Living, and Retirement Planning and Household Budgeting. The course allows students to experience the interrelatedness of mathematical topics, find patterns, make conjectures, and extrapolate from known situations to unknown situations. The mathematics topics contained in this course are introduced, developed, and applied in an as-needed format in the financial settings covered. The course offers students multiple opportunities to use, construct, question, model, and interpret financial situations through symbolic algebraic representations, graphical representations, geometric representations, and verbal representations. It provides students a motivating, young-adult centered financial context for understanding and applying the mathematics they are guaranteed to use in the future. TI-84 Graphing Calculator is required for the course.

## Probability and Statistics (Blended)

## Probability and Statistics (Blended)

Course # M403b

Status: UC, CSU & NCAA Approved

Credits: 10

Campus: Carondelet & De La Salle

Level: 11th & 12th Grades

Prerequisites: Completion of Algebra 2 with a “C-“.

* This class is blended, combining face-to-face classroom meetings with online work expectations. Face-to-face meeting times will be determined by the teacher.

An introduction to the fundamental concepts and methods of statistics and probability. Calculators and word problem comprehension are vital components to this course. This course consists of an introduction to descriptive statistics and statistical inference. Topics include basic measures of central tendency and variability, elementary probability theory, sample sizes, hypothesis testing, correlation, regression, and analysis of variation. A TI-83/84 graphing calculator is required for this course.

## Intro to Computer Science

## Intro to Computer Science

Course U960

Status: Pending

Credits: 5

Campus: Carondelet

Level: 9th, 10th, 11th, & 12th Grades

Prerequisits: No prior computer science knowledge or experience is necessary

* This class is blended, combining face-to-face classroom meetings with online work expectations. Face-to-face meeting times will be determined by the teacher.

An interactive introductory course for students brand new to programming that teaches the foundations of computer science using the Python language. Not only will this semester- or year-long course prepare students for AP Computer Science A and AP Computer Science Principles, but it will teach students how to think computationally and solve complex problems, skills that are important for every student. Topics include: What is Computer Science, Big Data, Algorithms, Cybersecurity, Game Development and Graphics.

Equipment needed: Access to a computer at home for homework or willingness to budget time on campus to complete work in Library or CLAB.

## AP Computer Principles

## AP Computer Principles

Course # U965

Status: Pending

Credits: 10

Campus: Carondelet

Level: 10th, 11th, & 12th Grades

Prerequsits: No prior computer science knowledge or experience is necessary

* This class is blended, combining face-to-face classroom meetings with online work expectations. Face-to-face meeting times will be determined by the teacher.

AP Computer Science Principles is a complete, full-year course that focuses on the 7 “Big Ideas” in computer science using project-based approaches.

The course introduces students to the creative aspects of programming, abstractions, algorithms, large data sets, the Internet, cybersecurity, and how computing impacts our world.

Using project-based lessons and materials throughout, students will work to address real-world problems and design solutions to put computational thinking into practice. These culminate in a capstone Performance Task project where students can demonstrate what they've learned - to become creators, instead of merely consumers, of the technology all around them. This course will prepare students for the end-of-course AP Exam.

Equipment needed: Access to a computer at home for homework or willingness to budget time on Campus to complete work in Library or CLAB.

## Pre-Calculus

## Pre-Calculus

Course # M305

Status: UC, CSU & NCAA Approved

Credits: 10

Campus: Carondelet/De La Salle

Level: 11th & 12th Grades

Prerequisites: Completion of Algebra 2 with Trig with a “B” or completion of Honors Algebra 2 with a “C”

This course includes a study of linear relations and functions, solving systems of equations and inequalities, polynomial and rational functions. An in depth study of trigonometry including the trigonometric functions, their inverse functions, identities, equations, graphs, and applications is the focus of the first semester. The nature of graphs, conic sections, exponential and logarithmic functions, statistics, sequences and series are also studied. A TI-83/84 calculator is required for this course.

## AP Calculus AB

## AP Calculus AB

Course # M501

Status: UC, CSU & NCAA Approved

Credits: 10

Campus: Carondelet/De La Salle

Level: 11th & 12th Grades

Prerequisites: Completion of Pre-Calculus with a “B+” or Honors Algebra 2 with a “B+“

This course is designed to cover the topics normally covered in a first semester college calculus course and to prepare the student to take the AP Calculus AB examination. This course will cover a study of functions and their properties, the concept of limit, and techniques and applications of differentiation and integration. A TI-83/84 calculator is required for this course. Students are expected to take the Advanced Placement examination.

## AP Calculus BC

## AP Calculus BC

Course # M505

Status: UC, CSU & NCAA Approved

Credits: 10

Campus: De La Salle

Level: 11th & 12th Grades

Prerequisites: Completion of Calculus AB

Advanced Placement Calculus BC covers the same topics as calculus AB, but includes additional topics usually covered in the second semester of a college calculus course. These additional topics include L’Hopital’s rule, Euler’s method for solving differential equations, parametric, polar, and vector functions, integration by parts, partial fractions, and improper integrals, Taylor and Maclaurin series, and radius and interval or convergence of series. Students are expected to take the Advanced Placement examination.

## AP Statistics

## AP Statistics

Course # M500

Status: UC, CSU & NCAA Approved

Credits: 10

Campus: Carondelet/De La Salle

Level: 12th Grade

Prerequisites: Completion of Algebra 2 with a “B+"

AP Statistics is a college level, non-calculus-based course in introductory sta-tistics. This course is designed to present strategies for collecting, organizing, analyzing, and drawing conclusions from data. Students will work on projects involving the hands-on gathering and analysis of real world data. They will learn to interpret and judge the statistical information in the world around them. Calculators will allow students to investigate and explore statistical concepts. Students are expected to take the Advanced Placement examination. A TI-83/84 calculator is required for this course.