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Mathematics

The Mathematics Department is excited to provide our students with more pathways to higher levels of mathematics as well as opportunities for deepening each student’s understanding of mathematics to prepare them for success in college and beyond.

Before students begin:

The philosophy of the math department is to meet each student where they are. We all come from different math backgrounds and by the time freshman year begins, we find ourselves at different points on the path. Carondelet has developed a RESPONSIVE MATH PROGRAM.

For many students, high school math begins with a pass-or-fail placement test, where they either test out of Algebra 1 or have to start from the beginning. Our approach is different. At Carondelet, we want to meet our students where they are. We don’t want to make a student unnecessarily backtrack or accelerate them into a class they are not ready for.

Our placement test allows our students to test out of individual algebra skills that they have already mastered. Some students test out of every Algebra 1 topic, others don’t test out of any, and some test out of 2 or 3. No matter what their situation is, we have options that allow them to launch into high school math at an appropriate place.

Option 1: Individually Paced Math Program

Our individually paced math program (Algebra 1, Geometry, Algebra 2, Trigonometry—all with an Honors mastery based component) is based on the belief that students can achieve any level of math success they want if

  • they are given the freedom to learn at their own pace,
  • they are empowered to believe that they have the ability to be successful in math and that there is no such thing as a “math person” and
  • they are provided with challenging, deep and inter-connected math tasks that allow them to struggle, persevere, discover and grow.

Students work collaboratively in fluid groups as they individually-pace through the curriculum. They will have the ability to spend more time on topics if needed or can advance at a faster pace potentially completing the course in less than one year continuing on to the next level. Students may also self-select honors distinction.

Last year more than 15% of our students completed two years of math in one year.

We also opened up summer school to students wishing to work ahead and more than 50 freshmen took advantage, allowing them to be closer to starting Algebra 2 in their freshman year.

The individually paced program has courses that include Algebra 1, Geometry, Algebra 2, and Trigonometry and potentially provide an earlier entry to AP Calculus.

Option 2: Teacher Directed Math Class

For students who need a little more structure, a more traditional teacher-led classroom, or who are starting at the beginning of a course with goals of completing that course in a school year, we have teacher-led options in Algebra 1, Geometry, Algebra 2 or Algebra 2 with Financial Applications, and Pre-Calculus.

Options for all

Beyond how students access the material, the two paths provide the same opportunities for students. Student-selected honors options are available in all classes through Pre-Calculus.

There are built-in on and off-ramps for students who feel they might benefit from another path. The summer school program helps provide greater access for fluid movement into or out of the program.

Students aren’t stuck on either track from year to year.

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, Personal Finance Essentials
  • 12th Grade: Algebra 2 with Financial Applications, Probability & Statistics, Pre-Calculus, AP Calculus AB, AP Calculus BC, AP Statistics, Personal Finance Essentials

View all Math courses, including AP and Honors level classes.

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Courses

  • Advanced Algebra with Financial Applications

    Course Level(s): 12th grade
    Credits: 10
    Campus: Carondelet
    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, 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.

  • Algebra 1

    Course Level(s): 9th grade
    Credits: 10
    Campus: Carondelet
    Prerequisites: 

    Results of placement test

    This initial course in Algebra covers Algebra 1 topics: symbols and sets, variables, linear equations, algebraic properties, inequalities, polynomials, fractional equations, systems, graphing, quadratic equations, and irrational numbers. This is offered as either an individually - or teacher-paced course with a strong emphasis on collaboration, connection-making, and discovery.

    Note: Students may self-select honors-level work within the course.

  • Algebra 1A

    Course Level(s): 9th grade
    Credits: 10
    Campus: Carondelet
    Prerequisites: 

    Based on placement test results

    Algebra 1A is a year-long course designed to strengthen students’ mathematical foundation and help them develop a growth mindset approach to mathematics. This course will begin with a review of necessary Pre-Algebra skills and concepts including expressions, equations, fractions, decimals, percentages, and number sense. Students will then begin the Algebra 1 content which includes: variables and exponents, equations, inequalities, proportional relationships, linear functions, exponential functions, radical functions, and systems of equations.

  • Algebra 1B

    Course Level(s): 10th grade
    Credits: 10
    Campus: Carondelet
    Prerequisites: 

    Algebra 1A

    Algebra 1B is a year-long course that focuses on a deeper exploration of algebraic concepts, including advanced techniques for solving quadratic equations, exponential functions, radical simplification, and further development of graphing and analyzing linear relationships, building upon the foundational knowledge gained in Algebra 1A.

  • Algebra 2

    Course Level(s): 9th, 10th, 11th, & 12th grades
    Credits: 10
    Campus: Carondelet
    Prerequisites: 

    Completion of Geometry with a B- and teacher recommendation

    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. This is offered as either an individually- or teacher-paced course with a strong emphasis on collaboration, connection-making, and discovery. The individually-paced option gives students access to Trigonometry and Trigonometry Honors for students who want to take Calculus or AP Calculus AB. Note: Students may self-select honors-level work within the course. 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. This is offered as either an individually- or teacher-paced course with a strong emphasis on collaboration, connection-making, and discovery.

    The individually paced option gives students access to Trigonometry and Trigonometry Honors for students who want to take Calculus or AP Calculus AB.

    Note: Students may self-select honors-level work within the course.

  • AP Calculus AB

    Course Level(s): 10th, 11th, & 12th grades
    Credits: 10
    Campus: Carondelet/De La Salle
    Prerequisites: 

    Completion of AP Pre-Calculus or Trigonometry Honors with a B and teacher recommendation.

    Completion of Pre-Calculus with an A- and teacher recommendation.

    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

    Course Level(s): 10th, 11th, & 12th grades
    Credits: 10
    Campus: Carondelet/De La Salle
    Prerequisites: 

    Completion of Calculus AB with a C or better, or Calculus with an A and teacher recommendation

    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 Pre-Calculus

    Course Level(s): 10th, 11th, & 12th grades
    Credits: 10
    Campus: Carondelet
    Prerequisites: 

    Completion of Algebra 2 Honors with a B- and teacher recommendation

    AP Precalculus provides students with an understanding of the concepts of college algebra, trigonometry, and additional topics that prepare students for further college level mathematics courses. This course explores a variety of function types and their applications—polynomial, rational, exponential, logarithmic, trigonometric, polar, parametric,

    vector-valued, implicitly defined, and linear transformation functions using matrices. These are functions that are foundational for careers in mathematics, physics, biology, health science, business, social science, and data science. Furthermore, as AP Precalculus may be the last mathematics course of a student’s secondary education, the course is structured to provide a coherent capstone experience rather than exclusively focusing on preparation for future courses.

  • AP Statistics

    Course Level(s): 11th & 12th grades
    Credits: 10
    Campus: Carondelet/De La Salle
    Prerequisites: 

    Completion of Algebra 2 Honors with a B- and teacher recommendation

    AP Statistics is a college-level, non-calculus-based course in introductory statistics. 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.

    Note:  summer homework prior to school launch is expected of all students

  • Applied Financial Mathematics

    Course Level(s): 11th & 12th grades
    Credits: 10
    Campus: De La Salle
    Prerequisites: 

    C or above in Advanced Algebra with Financial Applications; Two semester “C-” average in Algebra 2, Algebra 2 with Trigonometry, Honors Algebra 2 with Trigonometry, or Precalculus.

    Applied Financial Mathematics is a mathematical modeling course that is algebra-based, applications-oriented, and technology-dependent. The course addresses college preparatory mathematics topics from Algebra 2, Statistics, Probability, Precalculus, and Calculus under eight financial umbrellas: Discretionary Expenses, Banking, Investing, Credit, Employment and Income Taxes, Automobile Ownership, Independent Living, and Retirement Planning and Household Budgeting. The course offers students multiple opportunities to use, construct, question, model, and interpret financial situations.

  • Calculus

    Course Level(s): 11th & 12th grades
    Credits: 10
    Campus: Carondelet
    Prerequisites: 

    Completion of Pre-Calculus or Trigonometry with a grade of B and teacher recommendation

    Calculus covers differential calculus and the beginnings of integral calculus. Students study limits, continuity, derivatives, integrals of polynomials, exponential, logarithmic, and trigonometric functions. Students also explore applications of both derivatives and integrals as they relate to rates of change, optimization, and area under a curve. The course requires extensive use of the graphing calculator and emphasizes the development of advanced analytical skills. Prerequisite: successful completion of Precalculus

  • Geometry

    Course Level(s): 9th & 10th grades
    Credits: 10
    Campus: Carondelet
    Prerequisites: 

    Completion of Algebra 1 with a C-.
    For Incoming 9th graders: Results of placement test

    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 is offered as either an individually - or teacher-paced course with a strong emphasis on collaboration, connection-making, and discovery.

    Note: Students may self-select honors-level work within the course.

  • Intro to College Mathematics

    Course Level(s): 11th & 12th grades
    Credits: 10
    Campus: De La Salle
    Prerequisites: 

    Two semester “C-” average in Algebra 2, Algebra 2 with Trigonometry, Honors Algebra 2 with Trigonometry, or Precalculus.

    A year-long class covering math topics in two different areas, including some topics not covered in Pre-Calculus. Topics covered are: Consumer Math, Probability, Statistics, Graph Theory, and Voting and Apportionment, as well as, problems designed around problem-solving. Students are encouraged to experiment with and use several different problem-solving methods to approach problems in the areas of number theory, graphing, functions, systems of linear equations and inequalities, and Geometry.

  • Personal Finance

    Course Level(s): 10th, 11th, & 12th grades
    Credits: 10 or 5
    Campus: Carondelet
    Prerequisites: 

    none

    This course is offered as both a semester-long option or as a full year class. The first semester covers all of the essential personal finance topics necessary to become a financially capable student. By the end of this semester, students will have a thorough understanding of personal finance topics and be prepared to handle the financial responsibilities that exist after graduation. The second semester allows students to dive deeper into a financial topic of their choice, tailoring the course to their interests. Possible areas of focus include the stock market and investment strategies, financing higher education, managing credit, entrepreneurship, and practical consumer skills.

  • Pre-Calculus / Pre-Calculus (H)

    Course Level(s): 11th & 12th grades
    Credits: 10
    Campus: Carondelet
    Prerequisites: 

    Completion of Algebra 2 with a B or completion of Honors Algebra 2 with a C and teacher recommendation

    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.

    Note: Students may self-select honors-level work within the course.

  • Probability and Statistics

    Course Level(s): 11th & 12th grades
    Credits: 10
    Campus: Carondelet/De La Salle
    Prerequisites: 

    Completion of Algebra 2 with a B- and teacher recommendation

    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.

  • Trigonometry

    Course Level(s): 10th, 11th, & 12th grades
    Credits: 5
    Campus: Carondelet
    Prerequisites: 

    Completion of Algebra 2 Honors with a B

    This course builds on the concepts studied in Algebra 2 and provides an in-depth study of trigonometry including the trigonometric functions, their inverse functions, identities, equations, graphs, right triangle trigonometry, and the unit circle. The final topic includes an introduction to Calculus. This course, combined with Algebra 2 Honors, replaces Pre-Calculus and allows students access to Calculus or AP Calculus AB.

    Note: Students may self-select honors-level work within the course.

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