Mathematics

Chair:
Mrs. Trudy Thompson – College Algebra ONU ALG 1251 & ONU FUNCT 1401, College Calculus ONU CALC 1631, College Statistics ONU STATS 1561

Teachers:
Mr. Wes HorstmanAlgebra I,  Conceptual Math, Integrated Math I, Fundamental Algebra I, Geometry
Ms. Kayla MullenhourAdvanced Geometry, Fundamental GeometryAdvanced Algebra II, Fundamental Algebra II, Algebra II

Course: Integrated Math I
Course #:141
Pre-Requisite: None
Credit: 1

This course is designed for freshmen who, based on their teacher’s recommendation and performance on the placement test, are determined not ready for Algebra I. The course will prepare the student for Algebra and Geometry. Topics include the early basics of Algebra, along with selected topics from Geometry such as right-triangle trigonometry, the Pythagorean Theorem, the distance formula, areas, and volumes. Students are provided with an OGT calculator for this class.

Course: Algebra I
Course #:142
Pre-Requisite: None
Credit: 1

This is a college-prep math course intended for most freshmen. Placement into this course is based on performance on the freshman placement test. Topics include the properties of real numbers, operations with polynomials and rational expressions, linear equations and graphs, the basics of data analysis, and applications of algebraic techniques in problem solving. A scientific calculator is required.

Course: Fundamental Algebra I
Course #:143
Pre-Requisite: None
Credit: 1

This course is designed as a math course for those students completing Integrated Math. We will also enroll any student that has not passed Algebra I. A major component of this course is advanced preparation for the Ohio Graduation Test.  This course will integrate all the basics of Algebra, with special emphasis on solving equations.  It also includes polynomial expressions and linear equations, with graphing, as well as multi step problem solving operations. This course will include exponents and functions. This course also provides continued preparation for Geometry, such as right triangle trigonometry, the Pythagorean Theorem, as well as the area and volume of geometric shapes.  Students are provided with an OGT calculator for this class.

Course: Advanced Geometry
Course #:145
Pre-Requisite: Algebra I
Credit: 1

The Advanced class is for students who began the Algebra sequence in 8th grade.  This course will explore some of the topics in more depth and require students to do more critical and independent thinking.
This course includes all the basic topics of both Plane and Solid Geometry.  It is best described as an integrated treatment of Geometry that attempts to use many of the techniques and skills developed in Algebra to solve problems related to the physical world.  Students will be introduced to the fundamental concepts of logic as applied to a deductive math system.  Sample topics include congruence, similarity, areas and volumes, special properties of triangles including right triangle trigonometry, as well as topics from transformational and coordinate geometry.  A scientific calculator is required.

Course: Geometry
Course #:245
Pre-Requisite: Algebra I
Credit: 1

This course includes all the basic topics of both Plane and Solid Geometry. It is best described as an integrated treatment of Geometry that attempts to use many of the techniques and skills developed in Algebra to solve problems related to the physical world.  Students will be introduced to the fundamental concepts of logic as applied to a deductive math system. Sample topics include congruence, similarity, areas and volumes, special properties of triangles including right triangle trigonometry, as well as topics from transformational and coordinate geometry.  A scientific calculator is required.

Course: Fundamental Geometry
Course #:246
Pre-Requisite: Integrated Algebra I or Algebra I
Credit: 1

This course is designed as a math course for those students completing Integrated Algebra.  We will also enroll any student that has not passed Geometry or those students that struggled with Algebra I.  A major component of this course is preparation for the ACT test. This course will integrate all the basics of Geometry, with special emphasis on right triangle trigonometry, the Pythagorean Theorem, as well as the area and volume of geometric shapes.  It also includes plane geometry and the concepts of logic for proving congruence, similarity, and special triangle properties. This course also provides for coordinate geometry and graphing shapes in a coordinate plane.  A scientific calculator is suggested.

Course: Advanced Algebra II
Course #:244
Pre-Requisite: Algebra I & Geometry
Credit: 1

The Advanced class is for students who began the Algebra sequence in 8th grade.  This course will explore some of the topics in more depth and require students to do more critical and independent thinking.
This course is an extension of the concepts and topics introduced in Algebra I. Emphasis is placed on the development and refinement of algebraic skills that will be needed by students who pursue further study in business, industry, or any of the sciences.  Since the emphasis is on manipulative skills as well as theory, students will work numerous exercises at varying levels of difficulty.  Students will solve numerous problems related to real-world applications for the following topics; linear and polynomial equations, two and three dimensional graphs, systems of equations, basic trigonometry, matrices, complex numbers, and exponential and logarithmic functions.  In special cases, a student may enroll in Algebra II and Geometry concurrently if permission is granted by the department chair and the administration. A graphing calculator is required.

Course: Algebra II
Course #:345
Pre-Requisite: Algebra I & Geometry
Credit: 1

This course is an extension of the concepts and topics introduced in Algebra I. Emphasis is placed on the development and refinement of algebraic skills that will be needed by students who pursue further study in business, industry, or any of the sciences.  Since the emphasis is on manipulative skills as well as theory, students will work numerous exercises at varying levels of difficulty.  Students will solve numerous problems related to real-world applications for the following topics; linear and polynomial equations, two and three dimensional graphs, systems of equations, basic trigonometry, matrices, complex numbers, and exponential and logarithmic functions.  In special cases, a student may enroll in Algebra II and Geometry concurrently if permission is granted by the department chair and the administration.  A graphing calculator is required.

Course: Fundamental Algebra II
Course #:344
Pre-Requisite: Integrated Algebra I or Algebra I, Geometry or Integrated Geometry
Credit: 1

This course is designed as a math course for those students completing Integrated Geometry. We will also enroll any student that has not passed Algebra II or those students that struggled with Geometry. A major component of this course is advance preparation for the ACT test. This course will integrate all the basics of Algebra, with continued emphasis on polynomial expressions and linear equations, with graphing, as well as multi step problem solving operations. This course will include advanced exponents and functions, matrices, complex numbers, and three dimensional variables and graphs.  Special emphasis will be placed on linear and polynomial equations such as quadratic equations.  A scientific calculator is suggested.

Course: Conceptual  Math
Course #:444
Pre-Requisite: 3 credits of any math courses
Credit: 1

This course is designed to challenge students to use critical thinking skills in solving real-world problems by applying mathematics to various topics in modern society. Some emphasis will be placed on material learned in previous math courses. Topics of senior math are to include: the art of problem solving, inductive reasoning, logic, set theory, numeration systems/number theory, graph theory, game theory, voting and apportionment, and how math skills are used in the arts.

Course: College Pre-Calculus (ONU credit)
Course #:445
Pre-Requisite: Algebra I, Geometry and Algebra II (C+ or a C or better with teacher recommendation) OR Advanced Algebra II (C or better)
Credit: 1

This course covers one semester of college algebra and one semester of functions and trigonometry as covered by two semesters at Ohio Northern University. Topics include:  the real number system, exponents, factoring, solving equations and inequalities, rational expressions, polynomial functions, rational functions, exponential and logarithmic functions, trigonometric functions, analytic trigonometry, and analytic geometry. It should be noted that the college algebra portion may be more rigorous than what students have encountered in Algebra II. A graphing calculator is required.

Course: College Calculus (ONU credit)
Course #:449
Pre-Requisite: Pre-Calculus (C or better) and the recommendation of the Math department  
Credit: 1

This is a college level course that covers material from the first semester of calculus as offered at Ohio Northern University.  Topics include a review of functions, followed by limits, continuity, the derivative, extrema, Mean Value Theorem, curve plotting, application of the derivative, introduction to integration and its applications. This course may include concepts and problems from the AP (Advanced Placement) syllabus, but that is not its primary focus.  A graphing calculator is required but not allowed on certain topics.

ELECTIVES:

Course: College Statistics (ONU credit)
Course #:448
Pre-Requisite: Algebra I, Geometry, and Algebra II (C or better)
Credit: 1

This is an elective course and is not intended as a substitute for either Pre-calculus or Calculus. Course content includes exploratory data analysis, statistical study design, creating and interpreting graphs, using probability models and statistical inferences, including confidence intervals and hypothesis testing. The course may be supplemented with a study of correlation and regression techniques. A graphing calculator is required.