Mathematics Department

Department Head : Stacy Papke

Office: (513) 741-2664

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Mathematics Philosophy:  We believe that it is our responsibility to prepare our students for every mathematical problem that they will need to solve in their future years.Our students should be able to solve any numeric equation and any question involving critical thinking in their chosen profession.


Courses

CP Course Year 1

Geometric Linear Algebra

This course is involves equation solving using algebraic situations and geometric shapes, formulas and theorems.  These solving skills continue and set the components for rational expressions, factoring and data sense.  These fundamental concepts are the building blocks for successful standardized testing.  One Credit 

CP Course Year 2

Analytic Geometry with Trigonometry

This course is designed to show the correlations between algebra and geometry, using graphs and equations of lines, curves, and surfaces to develop and prove relationships.  This course covers the topics of graphing in the coordinate plane, proofs, trigonometry, systems, areas and volume of 3-dimensional figures, tessellations and constructions.   (Prerequisite: Geometric Linear Algebra) One Credit 

CP Course Year 3

Algebra II

This course is an extension of the concepts and operations learned in Algebra, but now the emphasis is placed on the function concept. Some of the topics of Algebra I are repeated in greater depth. The topics covered are a study of functions, quadratic fractions, exponential functions, logarithmic functions, and trigonometric and circular functions. (Prerequisite: Algebra I & Geometry) One Credit

CP Course Year 4

Pre-College Math

This course is designed to prepare students for a college freshman math course. It is offered to those students who wish to continue in mathematics, but do not feel secure enough to take Introductory Analysis. Some of the topics covered are trigonometry functions, conic sections, sequence and series, vectors, complex numbers, and polynomial functions. (Prerequisite: Algebra II) One Credit 

ACP Course Year 1

Algebra I

Algebra I is for students who require a more intense review of arithmetic concepts. It provides an introduction to abstract thinking and algebraic concepts such as simplifying expressions, linear equations and inequalities, monomials, simplifying radical equations and some data analysis. One Credit 

ACP Course Year 2

Geometry

Geometry is the study of the properties of figures in two and three dimensions. It provides, at an elementary level, the best setting in which to show how a large body of results may be deduced from a comparatively small number of assumptions. In a geometric problem, there is often scope for ingenuity, intuition, and imagination. It is interesting and helpful in other areas of mathematics. Seniors may not register for this course. (Prerequisite: Algebra I) One Credit

ACP Course Year 3

Algebra II/Pre-Calculus

This course is taught the same as Algebra II with the addition of a general study of trigonometry and some of the concepts from Pre-Calculus such as conic sections and limits. Most students completing this course will take Calculus in the senior year at La Salle as a preparation for taking college Calculus during their university freshman year. Students who do very well in this course can possibly take AP Calculus AB in the senior year provided they do some extra independent work during the second semester to cover the topics normally covered in HP Pre-Calculus. (Prerequisite: Geometry) One Credit

ACP Course Year 4

Calculus Foundations

Mathematical logic, vectors, field concepts, sequences, and series, conic sections, and the limit concepts are topics that should be new to the student. The course will also get into basic differentiation and integration. This course does not prepare the student to take the AP Calculus exam, but it is an excellent foundation course to prepare the student for the study of Calculus during his freshman year at college. One Credit

HP Course Year 1

Algebra I/II

HP Algebra is for students with a high understanding of arithmetic concepts. It provides instruction to abstract thinking and algebraic concepts from Algebra I and Algebra II into a one year Algebra course. Thus, on completion of the course the students will have covered all the Algebra they need for their high school career. One Credit

HP Course Year 2

Geometry with Trigonometry

This course is the sophomore Honors Level version of Geometry and includes the topics of Trigonometry. (Prerequisite: Algebra I) One Credit

HP Course Year 3

Pre-Calculus

This course is taught as a thorough preparation for the study of Calculus. Some repeat concepts such a conic sections, circular trigonometry, and complex numbers will be covered in greater depth. New concepts to be covered include mathematical logic, field concepts, sequences and series, and limit topics. Students completing this course will be prepared to take either AP Calculus AB or AP Calculus BC in the senior year. (Prerequisite: HP Advanced Geometry & Trigonometry) One Credit

HP Course Year 4

AP Calculus AB

Calculus is one of man's finest mental accomplishments and, as such, deserves its place among the other humanities as part of the liberal education of the truly educated person. In addition, Calculus is an effective tool and, in some part, the language of science, engineering, mathematics, and other fields. This course covers the topics of differentiation and integration of trigonometric, exponential, logarithmic, and algebraic function. Methods of finding volumes and areas using definite integral methods of integration, fundamental theorems, and the solution of differential equations are also studied. The student will be prepared through this course to take the AB Advanced Placement Examination in Mathematics, which can earn the student possible college credit. Taking the Advanced Placement Examination, however, is not a requirement of the course itself. (Prerequisite: Pre-Calculus) One Credit

HP Course Elective

AP Calculus BC

HP Senior recognized by his HP Pre-Calculus teacher as capable of doing this caliber of work) This course was designed to give a student the opportunity to take a college level math course that may be applying to the field of study that he may choose for himself as a college student. The course will follow the recommended AP syllabus from the College Board. A student will be prepared for and have the opportunity to take the BC Calculus test but does not have to take the test if he so wishes. One Credit

ACP/HP Elective

AP Statistics

This course was designed to give a student the opportunity to take a college level math course that may be applying to the field of study that he may choose for himself as a college student. The course will follow the recommended AP syllabus from the College Board. A student will be prepared for and have the opportunity to take the AP Statistics test but does not have to take the test if he so wishes. (Prerequisite: Needs to be an HP Junior or an HP/ACP Senior) One Credit 

SWS/Individualized

Integrated Math 1

This course is intended for students who require a less intense review of arithmetic concepts than is presented in Algebra I. It provides an introduction to abstract thinking and basic algebraic concepts such as simplifying expressions, linear equations and inequalities, monomials, simplifying radical equations and some data analysis. Students in this course will need to take Introduction to Algebra II in their junior year. One Credit

CP Basic Geometry (Year-long course)

This course is intended for students who require a less intensive study of the properties of figures in two and three dimensions. It provides, at an elementary level, a setting in which to show how a large body of results may be deduced from a comparatively small number of assumptions. (Prerequisite: Basic Algebra I or Algebra I) One Credit

CP Introduction to Algebra II (Year-long course)

This course is intended to be a continuation or "second part" of Basic Algebra. It will be a great course to prepare for the upcoming Algebra II course. It will cover topics such as a review of monomials, polynomials, factoring, quadratics, and inequalities. One Credit

 

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