## Mathematics Courses-Faith Builders Educational Programs

## Organization

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## Descriptions and credit recommendations for all evaluated learning experiences

**Version 1:** 45 hours (5-15 weeks). **Version 2**: 45 hours (5 weeks).

**Version 1:**July 2003 - December 2006.

**Version 2:**January 2007 - Present.

**Version 1:** Upon successful completion of the course,students will be able to: solve linear equations and inequalities and quadratic equations; use and graph functions including exponential and logarithmic functions; use conic sections; solve systems of equations; work with sequences and series; and understand introductory concepts of probability. **Version 2:** Upon successful completion of the course, students will be able to: perform algebraic manipulation proficiently; demonstrate problem solving skills; understand exponential notation; simplify radical expressions; simplify rational expressions; solve linear and quadratic equations; and solve exponential and logarithmic equations.

**Version 1:** Major topics covered in the course are linear equations and inequalities, quadratic equations, functions (including exponential and logarithmic functions), conic sections, systems of equations, sequences and series, and introductory probability. Method of instruction is lecture format. Evaluation criteria include exams and projects. **Version 2: **Major topics covered in the course are the study of linear, exponential and logarithmic functions and their graphs; study of polynomial and rational functions; solving linear, exponential, logarithmic and quadratic equations; solving inequalities; solving systems of equations; and an introduction to sequences and series. Methods of instruction include lecture. Evaluation criteria include assignments and examinations.**Prerequisite: **High school algebra.

**Version 1 and 2:** In the lower division baccalaureate/associate degree category, 3 semester hours in College Algebra (12/03) (4/07) (11/10) (10/15 revalidation).

Faith Builders Educational Programs, 28527 Guys Mills Road, Guys Mills, PA.

45 hours (12 weeks).

September 2013 - Present.

Upon successful completion of the course, students will be able to: understand and apply the concepts of inductive and deductive reasoning; Write in and apply different number systems, including Roman numerals, Hindu-Arabic, base 10, and base 2; convert base 10 numbers to base 2 and base 2 numbers to base 10, and add base 2 numbers; determine if a number is prime or composite and factor composite numbers; determine if a number is rational or irrational and perform operations with fractions; apply the rules of exponents; use basic concepts of algebra in calculating unknowns for equations in one variable; determine the domain and range of linear equations and whether a graph is a function; graph linear equations; Interpret statistical data, charts, and graphs; perform probability and statistical operations, calculate central tendencies, and interpret deviation; calculate the perimeter and area of geometric objects and the volume of three-dimensional objects; relate mathematical concepts to the historical context of their discovery; articulate how mathematics fits into a Christian view of reality; and delight in the light that mathematics brings to an understanding of the world and its creation.

Major topics include: critical thinking skills; systems of numeration; number theory; algebra, graphs, and functions; systems of linear equations; the metric system; geometry; probability; and statistics. Methods of instruction include: lecture and daily practice sets. Evaluation criteria include tests and a reflection paper.

In the lower division baccalaureate/associate degree category, 3 semester hours in General Education or as a Liberal Arts Mathematics requirement (10/15).