Prerequisites: Algebra 1 and 0.5 credit of Geometry (Placement Chart/Tests)

NOTE: This course is currently approved for optional Dual Credit (MAT 114 College Algebra) through Kepler's Partnership with Colorado Christian University's Dual Credit Program via CCU Academy. See details below. Parents and students should schedule a meeting with Mrs. Santoro before enrolling in CCU's Dual Credit Program.

Algebra 2 & Geometry ½ is a classical, Christian approach to the liberal arts of mathematics and geometry. Galileo Galilei proposed, “Mathematics is the language in which God has written the universe.” Math is the language... Math is a language? A language implies communication. While a language, like any language, can be learned by textbooks and one-way imparting of information, the ability does not imply it should be taught solely in that manner. To become fluent, one must speak conversationally. Utilizing a state-of-the-art eLearning system for the foundational framework of didactic instruction and diligent development of intellectual skills and habits, this course is designed to shepherd students through and beyond the curriculum and into deeper understanding and wisdom by employing various discussion methods of participation via the canons of rhetoric.

This course consists of two semesters and offers 1.0 high-school credits in Algebra 2, 0.5 high-school credits in Geometry, and optional 3.0 collegiate credits in College Algebra through CCU. Each semester students will be assigned lessons, quizzes, and exams from the required eLearning Course, record weekly journal entries, and attend live recitations as an active member. A final exam is required for students enrolled in CCU's Dual Credit Program.

Course Objectives

The Algebra 2 (College Algebra) portion of this course includes a brief review of intermediate algebra, equations and inequalities, functions and their graphs, exponential and logarithmic functions, and linear systems. In this course, we will cover the following topics:

1. The real and complex number systems
2. Arithmetic operations with polynomials
3. Special products and factoring
4. Linear, fractional and quadratic equations
5. Inequalities, exponents, radicals and absolute values
6. Functions and graphs
7. Logarithmic and exponential functions
8. Conic Sections

The Geometry portion of this course includes a brief review of Geometry fundamentals plus covers the following concepts: proof, logic, triangle similarity, perimeter/area/volume, and right triangle geometry (trigonometry). Analytical geometry topics such as functions and their symbolic, graphic, numeric and verbal forms are also covered. Advanced topics include properties of logarithms, trigonometric functions, exponential and logarithmic equations, graphs and their properties (including intercepts, symmetry, and transformations), inverse functions, factorials and binomial theorem, sequences and series.

Student Learning Outcomes

Upon completion of this course, the student should be able to meet the following learning outcomes for Algebra 2 (College Algebra):

1. Demonstrate an understanding and ability to apply college algebra skills to computational problems in theoretical and REAL-WORLD situations.
2. Demonstrate the ability to interpret, make appropriate algebraic judgments, and draw logical conclusions based on quantitative information.
3. Demonstrate the ability to translate problem situations into symbolic representations and to use those representations to solve problem

Curriculum

- Shormann, David, PhD, Algebra 2 with Integrated Geometry and CLEP Professor College Algebra (Required eLearning Course Subscriptions) Please note: students must purchase the two non-refundable, 12-month school licenses through Kepler and not through DIVE.

Optional Resources

- Euclid. Euclid's Elements Book One with Questions for Discussion, ISBN-13: 978-1888009460
- Euler, Leonard. Elements of Algebra, ISBN-13: 978-1508901181

Attendance

Attendance is a vital part of this course; therefore, students must attend class sessions and actively participate in discussions. Unless stated otherwise, students are expected to have completed the assignments before coming to class. Although the recitations will be recorded, a student cannot participate while watching a recording.

General Information for the Virtual Classroom

- Stable internet connection
- Working webcam, headset, and microphone
- Ability to convert written work into clear, readable portable document format (pdf)

NOTE: The first quarter includes a high-speed and intense review and preview of ten major math concepts: number, ratio, algebra, geometry, analytical geometry, measurement, trigonometry, calculus, statistics, and computer math. Adequately blocked time is necessary to diligently develop or polish skills and habits and avoid “cram, test, dump” mentality. Depending on student's math knowledge and fluency, consider blocking at least two hours per day for margins around a focused 1.5 hours of study four (or five) days a week, plus the weekly 1.5-hour recitation, especially in the first quarter.

Colorado Christian University's - Dual Credit Program | CCU Academy.

This dual-credit course must be completed with a grade of C- or higher to be considered for college transfer credit. College Algebra (MAT 114) is a 3-credit course. Payment and registration are two separate actions. Be advised that a course's dual credit status with CCU is subject to change and is not confirmed until CCU Academy course enrollment is active in the fall. Parents and students should schedule a meeting with Mrs. Santoro before enrolling in CCU's Dual Credit Program.