Mathematics – Geibel Catholic

Grade Level	Course Name	Credits	Weight
7/8	Pre-Algebra	—	Level I

Pre-Algebra is designed to introduce students to algebraic concepts. This course will reinforce the use of mathematical operations with fractions, decimals, and integers. Pre-Algebra will also introduce students to the fundamental concepts of algebra. This course will help the student to apply these skills to a variety of problems and practical situations.

Grade Level	Course Name	Credits	Weight
7/8/9	Algebra I	1	High School I

Algebra I is designed to encourage students to build on the previous concepts of variables, equations, and problem-solving skills in order to succeed in advanced courses. Topics include operations with integers, factoring polynomials, ratios and proportions, linear equations and inequalities, functions, polynomials, algebraic fractions, exponents, nonlinear equations, coordinate plane, radicals, and area/perimeter formulas. The course is aligned to the NCTM and State Standards in order to prepare students for college and career readiness.

Prerequisite: Pre-Algebra

Grade Level	Course Name	Credits	Weight
7/8/9	Honors Algebra I	1	High School II

Honors Algebra I will require consistent effort and a mature approach to challenge. Honors Algebra I students will work more independently and demonstrate a deeper understanding of world literature concepts. Students enrolled for this class should be self-motivated and willing to engage in critical and analytical thinking.

Algebra I is designed to encourage students to build on the previous concepts of variables, equations, and problem-solving skills in order to succeed in advanced courses. Topics include operations with integers, factoring polynomials, ratios and proportions, linear equations and inequalities, functions, polynomials, algebraic fractions, exponents, nonlinear equations, coordinate plane, radicals, and area/perimeter formulas. The course is aligned to the NCTM and State Standards in order to prepare students for college and career readiness.

Prerequisite: Pre-Algebra

Grade Level	Course Name	Credits	Weight
8/9/10	Geometry	1	High School I

Geometry explores the intricacies of geometry beginning with the foundations: points, lines, and planes. Students then move into logic-based proofs going through and using properties of shapes in real life instances. Students learn about logice through inductive and deductive reasoning and geometric proofs. Other topics include parallel and perpendicular lines, congruent triangles, triangle relationships, polygons, similarity, right triangle trigonometry, area, surface area, volume transformations, circles, and constructions. The course is aligned to the NCTM and State Standards in order to prepare students for college and career readiness.

Prerequisite: Algebra I

Grade Level	Course Name	Credits	Weight
8/9/10	Honors Geometry	1	High School II

Honors Geometry will require consistent effort and a mature approach to challenge. Honors Geometry students will work more independently and demonstrate a deeper understanding of world literature concepts. Students enrolled for this class should be self-motivated and willing to engage in critical and analytical thinking.

Geometry explores the intricacies of geometry beginning with the foundations: points, lines, and planes. Students then move into logic-based proofs going through and using properties of shapes in real life instances. Students learn about logice through inductive and deductive reasoning and geometric proofs. Other topics include parallel and perpendicular lines, congruent triangles, triangle relationships, polygons, similarity, right triangle trigonometry, area, surface area, volume transformations, circles, and constructions. The course is aligned to the NCTM and State Standards in order to prepare students for college and career readiness.

Prerequisite: Algebra I and teacher recommendation

Grade Level	Course Name	Credits	Weight
9/10/11	Algebra II	1	High School I

The Diocese of Greensburg Algebra II curriculum is aligned to the NCTM and State Standards in order to prepare students for college and career readiness. Algebra II will build upon the concepts taught in Algebra I. The course develops advanced algebra skills. Topics include, but are not limited to; matrices, solutions of equations/inequalities, quadratics, conic sections, polynomials and polynomial functions, radical functions and rational exponents, exponential and logarithmic functions, sequences and series, probability, statistics and trigonometry. The content of this course is important for students’ success in mathematics. Students will reason abstractly and quantitatively, will construct viable arguments, critique reasoning of others, and will use the appropriate tools of mathematics strategically.

Prerequisite: Algebra I

Grade Level	Course Name	Credits	Weight
9/10/11	Honors Algebra II	1	High School II

Honors Algebra II will require consistent effort and a mature approach to challenge. Honors Algebra II students will work more independently and demonstrate a deeper understanding of world literature concepts. Students enrolled for this class should be self-motivated and willing to engage in critical and analytical thinking.

The Diocese of Greensburg Algebra II curriculum is aligned to the NCTM and State Standards in order to prepare students for college and career readiness. Algebra II will build upon the concepts taught in Algebra I. The course develops advanced algebra skills. Topics include, but are not limited to; matrices, solutions of equations/inequalities, quadratics, conic sections, polynomials and polynomial functions, radical functions and rational exponents, exponential and logarithmic functions, sequences and series, probability, statistics and trigonometry. The content of this course is important for students’ success in mathematics. Students will reason abstractly and quantitatively, will construct viable arguments, critique reasoning of others, and will use the appropriate tools of mathematics strategically.

Prerequisite: Algebra I, Geometry, and teacher recommendation

Grade Level	Course Name	Credits	Weight
10/11/12	Trigonometry	0.5	High School II

The Trigonometry course is a one-semester course that studies the relationship between the measures of the angles and the lengths of the sides of the right and oblique triangles. The course reinforces many algebraic skills and extends the study of geometry to include angular rotation, coterminal and related angles, the ration of the six trigonometry functions, radian measurement, Pythagorean Theorem, Law of Sines, and Law of Cosines.

Prerequisite: Algebra II, Geometry, and teacher recommendation

Grade Level	Course Name	Credits	Weight
10/11/12	College Algebra	0.5	High School II

The College Algebra course is the continuation of the concepts learned in modern Algebra II. Topics include the complex number system, sets and set operations, matrix algebra, and the examination of polynomial, rational, exponential, and logarithmic functions.

Prerequisite: Algebra II, Geometry, and teacher recommendation

Grade Level	Course Name	Credits	Weight
10/11/12	Pre-Calculus	1	High School II

Students will extend topics introduced in Geometry and Algebra II. Students will explore functions and accurately sketch their graphs through transformations. Topics for this course include polynomial and rational functions, exponential and logarithmic functions, trigonometric functions, and trigonometric identities. The Pre-Calculus course provides a foundation for students who intend to study Calculus.

Prerequisite: Algebra II and Geometry

Grade Level	Course Name	Credits	Weight
11/12	CHS Calculus I	1	High School III

CHS Calculus will require consistent effort and a mature approach to challenge. CHS Calculus students will work more independently and demonstrate a deeper understanding of effective writing concepts. Students enrolled for this class should be self-motivated and willing to engage in critical and analytical thinking.

This course introduces students to the fundamental ideas of calculus. Topics for Calculus I include limits, derivatives, trigonometric functions, logarithmic functions, exponential functions, applications of differentiation, and definite and indefinite integrations.

Prerequisite: Pre-Calculus

This College in High School course is offered through Mount Aloysius College, Saint Vincent College, and Seton Hill University.

Grade Level	Course Name	Credits	Weight
11/12	CHS Calculus II	1	High School III

CHS Calculus II will require consistent effort and a mature approach to challenge. CHS Calculus II students will work more independently and demonstrate a deeper understanding of effective writing concepts. Students enrolled for this class should be self-motivated and willing to engage in critical and analytical thinking.

The Calculus II course is designed to continue and enhance concepts learned in Calculus I. Included in this course are sections on Integration, Improper Integrals, Area between curves, application of integrals, vectors, parametric and polar curves, series and sequences, and if time permits, differential equations.

Prerequisite: Calculus I

This College in High School course is offered through Saint Vincent College.

Grade Level	Course Name	Credits	Weight
11/12	CHS Probability & Statistics	1	High School III

CHS Probability & Statistics will require consistent effort and a mature approach to challenge. CHS Probability & Statistics students will work more independently and demonstrate a deeper understanding of effective writing concepts. Students enrolled for this class should be self-motivated and willing to engage in critical and analytical thinking.

Probability & Statistics is a two-semester elective. The course is centered on the concepts of data exploration, sampling and experimentation, probability and simulation, and statistical inference. Students explore both on-and two-variable data: participate in data collection; examine probability, randoms variables, and probability distributions; use sampling distributions; and engage in inferential reasoning with categorical (proportions and chi-square) and quantitative (means and slopes) data. Students develop and execute original research with an emphasis on data collection, analysis, interpretation, and presentation. Completion of this course is equivalent to completion of and introductory statistics course at the undergraduate level.

Prerequisite: Teacher recommendation

This College in High School course is offered through Seton Hill University.

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