Freshman algebra course placements are generally based on scores on the High School Placement Test administered at Cathedral during the eighth grade year. A student scoring at or above the 93rd percentile is placed in the Honors level; a student scoring between the 60th and 92nd percentile is placed in the Academic level, and a student scoring below the 60th percentile is placed in the College Preparatory level. Adjustments in level placement may be made throughout the student’s education at Cathedral High School with teacher/counselor recommendation. If a student wishes to switch levels, he/she needs the recommendations of both his/her current teacher and his/her former Cathedral math teachers (if applicable). No student who moves “down” a level for any reason other than a math teacher recommendation may move “back up” without teacher approval. Students who take a course at a level other than that recommended by the school may not switch levels until the end of the semester.

Daily homework and study are an expectation in all math classes, regardless of course or level.

“Doubling” in the honors math program means taking Geometry and Algebra II concurrently during the student’s sophomore year. Any students with an “A” in both semesters of Algebra IX or teacher approval may consider “doubling” of courses. The sole purpose for “doubling” courses is to allow the student to take AP or IB mathematics during the senior year of high school. Doubling is done at the honors level to prepare students for this college-level work. Students who “double” are expected to maintain at least a “B” average in both courses. If this expectation is not met, the student may be required to drop Algebra II and take it during the junior year.

Note: To be eligible for an IB Diploma, students must have completed Algebra 2 by the end of sophomore year.

*Calculators are required for all math courses. Students in Algebra 1 or Geometry may use a graphing calculator or a regular scientific calculator. Students in Algebra 2 or higher must have a graphing calculator. While the school cannot dictate which model of calculator a family purchases, Texas Instruments calculators are recommended. The recommended scientific calculator is the TI30XS and the recommended graphing calculator is the TI 83+ or TI 84+ (any version). It is each student’s responsibility to know how to use his personal calculator.

## Algebra I (College Prep)

*C011CF/C011CS 2 Semesters 2 Credits*

**Prerequisite:**

None. A calculator is required.* (See calculator information under “Mathematics Department” above)

**Course Description:**

Develop algebraic skills in a wide range of problem-solving situations and achieve an understanding of the concepts and applications of Algebra. Explore properties of real numbers, solve linear and quadratic equations and linear inequalities, evaluate mathematical expressions and functions, sketch and interpret graphs, investigate operations of polynomials and exponents, and solve systems of equations and inequalities.

## Algebra I (Academic)

*C011AF/C011AS 2 Semesters 2 Credits*

**Prerequisite:**

None. A calculator is required (See calculator information under “Mathematics Department” above).

**Course Description:**

Develop algebraic skills in a wide range of problem-solving situations and achieve an understanding of the concepts and applications of Algebra. Explore properties of real numbers, solve linear and quadratic equations and linear inequalities, evaluate mathematical expressions and functions, sketch and interpret graphs, investigate operations of polynomials and exponents, and solve systems of equations and inequalities.

## Algebra I (Honors)

*C011XF/C011XS 2 Semesters 2 Credits*

**Prerequisite:**

HSPT math/quantitative score of 93 or higher strongly recommended. A calculator is required (See calculator information under “Mathematics Department” above).

**Course Description:**

Develop algebraic skills in a wide range of problem-solving situations and achieve an understanding of the concepts and applications of Algebra. Explore properties of real numbers, solve linear and quadratic equations and linear inequalities in various ways, evaluate mathematical expressions and functions, sketch and interpret linear and quadratic graphs and their translations, investigate operations of polynomials, exponents, and radicals, study basic statistics and probability, use basic trigonometric ratios, and solve systems of equations and inequalities in multiple ways. Discover the myriad uses of Algebra in real-life applications through supplementary problem sets.

## Geometry (College Prep)

*C031CF/C031CS 2 Semesters 2 Credits*

**Prerequisite:**

Successful completion of Algebra I CP and recommendation of Algebra I teacher. A calculator is required (See calculator information under “Mathematics Department” above).

**Course Description:**

Explore modern Euclidean geometry with an emphasis on logical thinking and the problem-solving concepts and skills learned in Algebra I. Examine three-dimensional geometry and basic trigonometry and its applications. Further develop algebraic skills by applying algebraic concepts to detailed geometry problems, and investigate real-world applications of geometry.

## Geometry (Academic)

*C031AF/C031AS 2 Semesters 2 Credits*

**Prerequisite:**

Successful completion of Algebra I A or teacher recommendation. A calculator is required (See calculator information under “Mathematics Department” above).

**Course Description:**

Explore modern Euclidean geometry with an emphasis on logical thinking and the problem-solving concepts and skills learned in Algebra I. Examine three-dimensional geometry and basic trigonometry and its applications, and learn the fundamentals of formal proof. Further develop algebraic skills by applying algebraic concepts to detailed geometry problems. Topics studied include formal logic, congruent polygons, parallel lines, similar polygons, right triangles, quadrilateral properties, regular polygons, and circles.

## Geometry (Honors)

*C031XF/C031XS 2 Semesters 2 Credits*

**Prerequisite:**

Algebra I X with a “B” or above or teacher recommendation. A calculator is required (See calculator information under “Mathematics Department” above).

**Course Description:**

Explore modern Euclidean geometry with an emphasis on logical thinking and the development of formal proof. Enhance problem-solving concepts and skills learned in Algebra I. Examine three-dimensional geometry, truth tables, and basic trigonometry and its applications. Perform geometric constructions using traditional methods. Topics studied include formal logic, congruent polygons, parallel lines, similar polygons, right triangles, quadrilateral properties, regular polygons, and circles.

## Algebra II (College Prep)

*C013CF/C013CS 2 Semesters 2 Credits*

**Prerequisite:**

Successful completion of Algebra I CP and Geometry CP or teacher recommendation. A graphing calculator is required (See calculator information under “Mathematics Department” above).

**Course Description:**

Continue to refine computational and manipulative skills and further develop skills in solving linear, quadratic, and absolute value equations and inequalities. Continue the study of various functions and relations, expanding into polynomial equations, rational equations, radical equations, and logarithmic and exponential equations. Explore the solution and graphs of systems of equations and inequalities. Learn about the complex numbers and conic sections.

## Algebra II (Academic)

*C013AF/C013AS 2 Semesters 2 Credits*

**Prerequisite:**

Algebra I A with a “C” or above or teacher recommendation, and completion of Geometry A. A graphing calculator is required (See calculator information under “Mathematics Department” above).

**Course Description:**

Further develop skills in solving linear, quadratic, and absolute value equations and inequalities. Continue the study of various functions and relations, expanding into polynomial equations, rational equations, radical equations, and logarithmic and exponential equations. Explore the solution and graphs of systems of equations and inequalities, and discover the strategies for developing scatter plots, linear regressions and linear programming. Learn about the complex numbers and conic sections, and explore applications of algebra two topics.

## Algebra II (Honors)

*C013XF/C013XS 2 Semesters 2 Credits*

**Prerequisite:**

Algebra I X with a “B” or above or Algebra I A with a 95 percent or higher or Geometry X with a “B” or higher or teacher recommendation. A graphing calculator is required (See calculator information under “Mathematics Department” above).

**Course Description:**

Analyze and graph linear and quadratic equations and inequalities. Explore the properties of polynomials, radical expressions, rational functions, exponential functions and logarithmic functions. Solve systems of linear equations and inequalities in various ways, including the use of matrices. Learn about probability, conic sections, and sequences and series. Enhance problem-solving skills and discover the many relevant applications of algebra in the real world.

## Precalculus (College Prep)

*C041CF/C041CS 2 Semesters 2 Credits*

**Prerequisite:**

Successful completion of Algebra II and teacher recommendation. A graphing calculator is required (See calculator information under “Mathematics Department” above). This course is open to seniors only and by teacher/counselor recommendation only. This course is not open to students who earned a “C-” or better in Algebra II A.

**Course Description:**

Thoroughly review, develop, and enhance the understanding of functions and their graphs, emphasizing trigonometry and its applications. Further develop computational skills. Investigate basic analytic geometry, vectors, and combinatorics.

## Precalculus (Academic)

*C041AF/C041AS 2 Semesters 2 Credits*

**Prerequisite:**

Algebra II A with a “C-” or above and teacher recommendation. A graphing calculator is required (See calculator information under “Mathematics Department” above).

**Course Description:**

Thoroughly review, develop, and enhance the understanding of functions and their graphs, emphasizing trigonometry, vectors, & their applications. Investigate analytic geometry, vectors, and combinatorics.

## Precalculus (Honors)

*C041XF/C041XS 2 Semesters 2 Credits*

**Prerequisite:**

Algebra II X and teacher recommendation. A graphing calculator is required (See calculator information under “Mathematics Department” above).

**Course Description:**

Thoroughly explore the graphical, numerical and algebraic approach to the basic families of functions, including an emphasis on trigonometric functions. Investigate analytical geometry, vectors and their application to real-world situations, and combinatorics. Discover limits and the concepts of introductory calculus, and develop several strategies for mathematical proof.

## Calculus AB, AP (Advanced Placement)

*C042XF/C042XS 2 Semesters 2 Credits*

**Prerequisite:**

Successful completion of Precalculus X and teacher recommendation. A graphing calculator is required (See calculator information under “Mathematics Department” above). Students are required to take the AP exam in the spring. (IB Diploma students are exempt from the AP exam requirement.)

**Course Description:**

Review and expand precalculus topics such as graphs and models, functions and their graphs, linear models and rates of change, and trig graphs and identities. Explore limits and their properties, continuity, basic differentiation rules with such applications as related rates, extrema, concavity, Rolle’s Theorem, Mean Value Theorem, Newton’s Method and natural logarithms. Develop integration techniques and apply them in fields such as area, volumes, arc length and surface area of solids of revolution.

*Course Fee*

## Calculus BC, AP (Advanced Placement)

*C043XF/C043XS 2 Semesters 2 Credits*

**Prerequisite:**

Successful completion of Calculus AB or teacher recommendation. A graphing calculator is required (See calculator information under “Mathematics Department” above). Students are required to take the AP exam in the spring. (IB Diploma students are exempt from the AP exam requirement.)

**Course Description:**

Explore all the topics of differential and integral AB Calculus with additional emphasis on integration techniques. The course also includes the study of slope fields, vectors, calculus on parametric and polar equations, including sequences, convergent and divergent series, power series, MacLaurin and Taylor Series, integrals in polar coordinates and slope-fields.

*Course Fee*

## Statistics, AP (Advanced Placement)

*C044XF/C044XS 2 Semesters 2 Credits*

**Prerequisite:**

Successful completion of Algebra II X or an “A” or “B” in Algebra II A and teacher recommendation. A graphing calculator is required (See calculator information under “Mathematics Department” above). Students are required to take the AP exam in the spring.

**Course Description:**

Learn to summarize data using graphs and numerical summaries by emphasizing how to use the formulas used in the study of statistics. Interpret data in the context of real-world problems and explore how to appropriately collect data. Design experiments to generate data, and then use probability to make conclusions about populations based on acquired samples.

*Course Fee*

## Mathematics, IB SL (IB)

*C019IF/C019IS 2 Semesters 2 Credits*

**Prerequisite:**

Successful completion of Precalculus A or Precalculus X. Teacher recommendation is required for all non-IB Diploma students. A graphing calculator is required (See calculator information under “Mathematics Department” above).

**Course Description:**

This course covers the calculus component and other components of the IB Math SL curriculum not covered in precalculus, reviews the IB Math SL topics covered in precalculus, and incorporates the completion of the IB Math SL internal assessment. Enrolled students are required to complete the IA and sit for the IB exams at the conclusion of the course. The aim of this course, its curriculum, and content is to develop the IB learner profile traits and encourage students to be communicators, knowledgeable, open-minded, risk-takers, balanced, thinkers, inquirers, principled, caring, and reflective

*Course Fee*