# Mathematics

**Graduation Requirements: 30 Credits**

- 9th Grade: Algebra 1 (Honors designation possible), Geometry, or Geometry Honors (or beyond if eligible)
- 10th Grade: Geometry, Geometry Honors, Algebra 2 with Financial Applications, Algebra 2 with Trig, Algebra 2 with Trig Honors
- 11th Grade: Algebra 2 with Financial Applications, Algebra 2 with Trig, Algebra 2 with Trig Honors, Probability & Statistics, Pre-Calculus, AP Calculus AB
- 12th Grade: Algebra 2 with Financial Applications, Probability & Statistics, Pre-Calculus, AP Calculus AB, AP Calculus BC, AP Statistics

- Algebra 1
- Geometry
- Algebra 2 w/Trig
- Algebra 2 w/Trig (H)
- Probability and Statistics
- Advanced Algebra with Financial Applications

## Algebra 1

## Algebra 1

Course # M102

Status: UC, CSU & NCAA Approved

Credits: 10

Campus: Carondelet

Level: 9th Grade

Prerequisites: Results of placement test

This initial course in Algebra covers Algebra 1 topics: symbols and sets, variables, linear equations, the algebraic properties, inequalities, polynomials, fractional equations, systems, graphing, quadratic equations, and irrational numbers. This course is self-paced for mastery with a strong emphasis on collaboration, connection-making and discovery. Students may self-select honors level work within the course.

## Geometry

## Geometry

Course # M201

Status: UC, CSU & NCAA Approved

Credits: 10

Campus: Carondelet

Level: 9th, 10th Grade

Prerequisites: For Rising 10th graders Algebra 1 with a C- or higher. For Incoming 9th graders: Performance on our Algebra Challenge Exam

This course explores relations involving one, two and three-dimensional spaces: angles, parallel and perpendicular lines, planes, circles, triangles, triangle trigonometry, polygons, area, surface area and volume. The basics of logic are introduced and the deductive proof-writing process is developed throughout the course. Problem-solving skills from Algebra 1 will be used throughout the course. This course is self-paced for mastery with a strong emphasis on collaboration, connection-making and discovery. Students may self-select honors level work within the course.

## Algebra 2 w/Trig

## Algebra 2 w/Trig

Course # M310

Status: 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.

## 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: Two semesters A average in Algebra Honors and Geometry Honors 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.

## 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.

## Advanced Algebra with Financial Applications

## Advanced Algebra with Financial Applications

Course # M330

Status:UC, CSU, & NCAA Approved*

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.

## Pre-Calculus

## Pre-Calculus

Course # M305

Status: UC, CSU & NCAA Approved

Credits: 10

Campus: Carondelet

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.

## 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. 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 Trig with a grade of a “B+” or department approval.

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.