MATHEMATICS DEPARTMENT
MATHEMATICS DEPARTMENT
The Central Catholic High School Math Department will help every student realize their potential in mathematics while preparing them for college and the working world. We hope to instill in our students an appreciation for the order and logic of mathematics. We will show our students the value of mathematics by having them experience its many uses in other subject areas and in real-world applications. We will instruct them on how to use technology to help them better understand mathematical concepts and to problem-solve. We also strive to increase enrollment in our upper-division courses − especially in our female and minority populations.
Students must pass three years of math to successfully complete the minimum requirements for a Central Catholic High School diploma. Algebra II is required for admission to four-year colleges.
TI-84 or higher graphing calculators are required for all courses. Students can elect to take Statistics their senior year instead of Calculus.
Grade Level: 9
Credit: 1.0
This course provides a thorough study of all the important topics of algebra. Students will learn basic concepts of algebra such as solving and graphing: linear equations, linear inequalities, exponential equations, and quadratic equations. Students will also learn about other polynomials and their properties, including factoring. Radicals, along with their properties and operations, are introduced. Students will be able to interpret data through algebraic expressions and functions.
Credit Status: Selective; OPU/NCAA approved
Prerequisite: Math department placement based on placement test score
Grade Level: 9-11
Credit: 0.5
This course is accelerated, which means the course will cover the same standards and concepts of the year-long course in one semester. This course provides a thorough study of all the important topics of algebra. Students will learn basic concepts of algebra such as solving and graphing: linear equations, linear inequalities, exponential equations, and quadratic equations. Students will also learn about other polynomials and their properties, including factoring. Radicals, along with their properties and operations, are introduced. Students will be able to interpret data through algebraic expressions and functions.
Credit Status: Selective; OPU/NCAA approved
Prerequisite: Math department placement based on placement test score Requirement: TI-84 (or higher) graphing calculator
Grade Level: 9-10
Credit: 1.0
This course provides a thorough introduction to solid and plane geometry. Topics include mathematical proofs; measurement in one, two, and three dimensions; properties of polygons and circles; the concepts of congruence and similarity; and an introduction to trigonometric ratios. The course uses several different methodologies, such as constructions designed for students to formulate conjectures. Projects are assigned as an additional form of mathematical application.
Credit Status: Selective; OPU/NCAA approved
Prerequisite: Algebra I or math department placement based on placement test score (new students) Requirement: Compass, protractor, ruler and a scientific calculator (this may be TI-84 or higher
Grade Level: 9-10
Credit: 0.5
This course is accelerated, which means the course will cover the same standards and concepts of the year long course in one semester. This course provides a thorough introduction to solid and plane geometry. Topics include: mathematical proofs, measurement in one, two and three dimensions, properties of polygons and circles, the concepts of congruence and similarity, and an introduction to trigonometric ratios. The course uses several different methodologies, such as constructions designed for students to formulate conjectures. Projects are assigned as an additional form of mathematical application.
Credit Status: Selective; OPU/NCAA approved
Prerequisite: Algebra I or math department placement based on placement test score (new students) Requirement: Compass, protractor, ruler and a scientific calculator (this may be TI-84 or higher)
Grade Level: 10-11
Credit: 1.0
This course is typically a third-year math class that is sequential after Geometry. The beginning of the course is a general review of the topics covered in Algebra I. Topics include quadratic equations, functions, powers and roots, and exponential and logarithmic functions. Polynomials and polynomial functions as well as rational functions are also presented. The last part of the course analyzes the topic of trigonometry, its ratios and functions. As time allows, students will study data analysis and modeling
Credit Status: Selective; OPU/NCAA approved
Prerequisite: Algebra I, Geometry, or math department placement based on placement test score (new students)
Grade Level: 10-12
Credit: 0.5
This course is a second semester course to be taken following completion of Accelerated Geometry in the fall. It is an accelerated course, which means the course will cover the same standards and concepts of the year long course in one semester. Topics include matrices, determinants, quadratic equations, functions, powers and roots, and exponential and logarithmic functions. Polynomials and polynomial functions as well as rational functions are also presented. The last part of the course analyzes the topic of trigonometry, its ratios and functions. As time allows, students will study data analysis and modeling.
Credit Status: Selective; OPU/NCAA approved
Prerequisite: Geometry and math department placement
Grade Level: 10-12
Credit: 1.0
This course features an advanced study of topics in algebra in preparation for precalculus. This course will provide a thorough study of all the important topics of Algebra II including matrices, determinants, quadratic equations, functions, powers and roots, and exponential and logarithmic functions. Polynomials and polynomial functions as well as rational functions are also presented. Additional topics will be right triangle trigonometry, the unit circle, trigonometric ratios, analytic trigonometry, identities, graphing, radians measurements, conic sections, data analysis, mathematical modeling, sequences, and series.
Credit Status: Selective; OPU/NCAA approved
Prerequisite: Student application, Geometry
Grade Level: 12
Credit: 0.5
Intermediate Algebra IIB is the second-year course in a two year course series. The course will focus on exploring functions graphically and symbolically with an emphasis on function notation. Students will investigate functions, equations, and graphs involving quadratic, rational, radical, and absolute value expressions. Students will study functions, quadratics, radical functions, and rational functions.
Credit Status: Selective; OPU/NCAA approved (.5 credit only)
Prerequisite: Intermediate Algebra IIA and math department placement
Grade Level: 10-12
Credit: 1.0
Students in this course work extensively with functions and their graphs, and expand on topics introduced in Algebra II. Logarithms and trigonometry are covered in depth. Students will also study the complex number system, sequences, and an introduction to limits. As time allows, students will study probability. This course is designed to increase a student’s knowledge of concepts used in calculus.
Credit Status: Selective; OPU/NCAA approved
Prerequisite: Algebra II (C or higher), or Honors Geometry/ Trigonometry, and math department placement
Grade Level: 10-12
Credit: 1.0 This course features an advanced study of topics in preparation for calculus. Special emphasis is placed on the study of functions (algebraic, exponential, logarithmic, trigonometric, and some nonelementary functions). This study includes the properties, graphs, and applications of these functions. Students will also study the complex number system, matrices, sequences, and probability. The calculus concepts and applications of limits, differentiation, and integration will be introduced. Problem-solving skills and mathematical precision provide a central focus for the work of this course.
Credit Status: Selective; OPU/NCAA approved
Prerequisite: Honors Geometry/ Trigonometry (B- or higher) and/or math department placement, application
Grade Level: 11-12
Credit: 1.0
This is an elective, yearlong college-prep, dual credit mathematics class that is offered to those who have successfully completed Algebra II. The main objective of this mathematics elective is to familiarize students with the topics and concepts of descriptive and inferential statistics. Topics include: frequency distributions and graphs, data description, probability and counting rules, discrete probability distributions, normal distributions, correlation and regression, and sampling and simulations.
Credit Status: Elective OPU/NCAA approved
Prerequisite: Algebra II Dual Credit Option: 4 PCC Credits (MTH 243)
Grade Level: 11-12
Credit: 1.0 This is an advanced course covering the concepts of differential and integral calculus. Calculus is explored on both a theoretical and a practical level, with emphasis placed on real-life applications. Students will learn the appropriate use of a graphing calculator to assist in the solution of higher-level problems. This class provides a useful introduction to college calculus.
Credit Status: Selective; OPU/NCAA approved
Prerequisite: Precalculus (C- or higher) and/or math department placement
Grade Level: 11-12
Credit: 1.0
Students will study the fundamental topics of calculus: limits, continuity, differentiation, curve sketching, optimization, and integration. The course will be taught on a college level in preparation for the AP Calculus AB Exam, which all students at this level are encouraged to take. Particular emphasis is placed on the varied and significant applications of calculus in today’s world. The Calculus AB exam for additional college credit is strongly encouraged.
Credit Status: Selective; OPU/NCAA approved
Prerequisite: Honors Precalculus (B- or higher) and/or math department placement, application
Grade Level: 12
Credit: 1.0 AP
Calculus II represents an extension of the coursework of calculus, developing the students’ understanding of additional concepts of calculus and providing further experience with its methods and applications. The course emphasizes a multi-representational approach, with problems and results expressed geometrically, numerically, analytically, and verbally. Topics receiving particular emphasis include parametric, polar and vector functions, slope fields, integration by parts and simple partial fractions, improper integrals, and extensive work with series. Technology is used regularly to reinforce the relationships among the multiple representations of functions, to implement experimentation, and to assist in interpreting results. The unifying themes of derivatives, integrals, limits, approximation, applications, and modeling shape the course into a cohesive whole rather than a collection of unrelated topics. The Calculus BC exam for additional college credit is strongly encouraged.
Credit Status: Elective OPU/NCAA approved
Prerequisite: AP Calculus I (B- or higher) and math department placement, application