Cardinal Ritter High School

Mathematics

Finite Mathematics

1 Semester / 1 Credit(s)

This course expands students’ mathematical reasoning and problem-solving skills as they cover topics such as mathematics of voting, weighted voting systems, fair division, apportionment, Euler circuits, Hamilton circuits, mathematics of networks, and game theory.  The course will encourage students to make mathematical connections from the classroom to the world after high school, while learning the importance of mathematics in everyday life.  This course is offered as an addition to Pre-Calculus/Trigonometry, not a replacement.  A SCIENTIFIC CALCULATOR IS REQUIRED.

Probability & Statistics

1 Semester / 1 Credit(s)

This course introduces and examines the statistical topics that are applied during the decision-making process.  Topics include: descriptive statistics, probability, and statistical inference.  Techniques investigated include:  data collection through experiments or surveys, data organization, sampling theory and making inferences from samples.  Computers are used for data analysis and data presentation.  This course should not be taken as a replacement for Pre-Calculus/Trigonometry in a college preparatory course of study.  A SCIENTIFIC CALCULATOR IS REQUIRED.

Honors Probability & Statistics

1 Semester / 1 Credit(s)

This course introduces students to the major concepts and tools for collecting, analyzing, and drawing conclusions from data. This course is required for students taking MAT 230 in the spring.  Students complete a rigorous study of the following concepts: describing patterns and departures from patterns, planning and conducting a statistical study, exploring random phenomena using probability and simulation, and estimating population parameters and testing hypotheses. A GRAPHING CALCULATOR IS REQUIRED.

AP Calculus

2 Semesters / 2 Credit(s)

This course is intended for students who have a thorough knowledge of college preparatory mathematics.  It covers both the theoretical basis for and applications of differentiation and integration.  Concepts and problems are approached graphically, numerically, analytically and verbally.  All students enrolled in this course will take the AP Calculus (AB) Exam.  A GRAPHING CALCULATOR IS REQUIRED.

Honors Pre-Calculus/Trigonometry

2 Semesters / 2 Credit(s)

This course covers the same topics as Pre-Calculus/Trigonometry listed above. Greater emphasis is placed on applications and developing the depth of understanding and skills necessary for success in AP Calculus.  This course is required for students who plan to take AP Calculus.  A GRAPHING CALCULATOR IS REQUIRED.

Trigonometry

1 Semester / 1 Credit(s)

Pre-Calculus/Trigonometry

1 Semester / 1 Credit(s)

This course continues the foundation concepts necessary for college level mathematics.  Topics studied include: relations and functions, polynomials, rational and algebraic functions, logarithmic and exponential functions, analytic geometry, data analysis, trigonometry in triangles, trigonometric functions, trigonometric identities and equations, and polar coordinates.  A GRAPHING CALCULATOR IS REQUIRED.

Honors Algebra II

2 Semesters / 2 Credit(s)

This course expands and develops the topics learned in Honors Algebra I.  Content areas include the topics listed for Algebra II with greater emphasis on preparation for upper level mathematics content.  The course is required for students who plan to take AP Calculus, and it is recommended that this course be taken at the same time as Honors Geometry unless Honors Geometry was taken as a freshman.  A GRAPHING CALCULATOR IS REQUIRED.

Algebra II

2 Semesters / 2 Credit(s)

This course further develops the topics learned in Algebra I with extensive work on learning to graph equations and inequalities in the Cartesian coordinate system.  Topics include:  relations and functions, systems of equations and inequalities, conic sections, polynomials, algebraic fractions, logarithmic and exponential functions, sequences and series, and counting principles and probability.  A GRAPHING CALCULATOR IS REQUIRED.

Honors Geometry

2 Semesters / 2 Credit(s)

This course covers the same topics as Geometry, but with greater emphasis on complex direct deductive proof and indirect proof and on utilization of more advanced algebraic techniques.  Content is extended to include topics such as analytic geometry and the interrelationships of inscribed polyhedra.  A GRAPHING CALCULATOR IS REQUIRED.

Geometry (1&2)

1 Semester / 2 Credit(s)

This Geometry course is designed for those students who did not receive a C- average or better in Geometry.  This course will meet everyday.

Geometry

2 Semesters / 2 Credit(s)

The purpose of Geometry is to use logical thought processes to develop spatial skills.  Students work with figures in one, two- and three-dimensional Euclidean space. The interrelationships of the properties of figures are studied through visualization, using computer drawing programs and constructions, as well as through formal proof and algebraic applications. A GRAPHING CALCULATOR IS REQUIRED.

Honors Algebra I

2 Semesters / 2 Credit(s)

The same topics as in Algebra I are covered with more emphasis on problem solving and critical thinking skills in order to challenge the mathematically talented student.  Projects are incorporated into the lessons for the purpose of applying the mathematical concepts.  A GRAPHING CALCULATOR IS REQUIRED.

Algebra I (1&2)

1 Semester / 2 Credit(s)

This course is designed for those students who did not receive a B- average or better in Algebra I or did not pass the ISTEP+ Algebra I Graduation Exam.  This course will meet everyday.

Algebra I

2 Semesters / 2 Credit(s)

Algebra I develops traditional principles such as:  solving equations and inequalities, performing operations with real numbers and polynomials, working with integer exponents and factoring polynomials, doing exercises with relations and functions, graphing linear equations and inequalities, graphing and algebraically solving linear systems, solving quadratic equations, and introducing topics from probability and statistics.  A GRAPHING CALCULATOR IS REQUIRED.

Algebra Enrichment

2 Semesters / 2 Credit(s)

Algebra Enrichment is a mathematics support course for Algebra I.  The course provides students with additional time to build the foundations necessary for high school math courses, while concurrently having access to rigorous, grade-level appropriate courses.  The five critical areas of Algebra Enrichment align with the critical areas of Algebra I:  Relationships between Quantities and Reasoning with Equations; Linear and Exponential Relationships; Descriptive Statistics; Expressions and Equations; and Quadratic Functions and Modeling.  However, whereas Algebra I contains exclusively grade-level content, Algebra Enrichment combines standards from high school courses with foundational standards from the middle grades.  This course counts as a Mathematics Course for the General Diploma only or as an Elective for the Core 40, Core 40 with Academic Honors and Core 40 with Technical Honors diplomas.  Algebra Enrichment is designed as a support course for Algebra I. As such, a student taking Algebra Enrichment should also be enrolled in Algebra I during the same academic year.
A GRAPHING CALCULATOR IS REQUIRED.