This course is designed to provide a solid foundation in advanced algebra. The course is divided into four distinct parts, each consisting of three, fifteen-lesson units. Each of the units is based around a central topic as outlined below. Students will find graded assessments after each lesson and an exam at the end of each unit of the course.
The course guides students through algebraic concepts and the applications of advanced algebra. Students will focus on linear functions, linear systems, matrices, quadratic functions, polynomial functions, polynomials, exponential functions, logarithmic functions, rational functions, radical functions, conic sections, probability, statistics, sequence, series, and trigonometric functions. Students critical thinking skills and problem solving techniques will develop throughout the course. By the end of this course, students will have gained both a knowledge of and appreciation for algebra and problem solving that will prepare them for future courses.
Part 1 Description
This part of the course covers concepts in linear functions, graphing linear functions, and linear systems. It begins with helping students understand and retain the applications of linear functions. It then explores how graph linear functions. Finally, the third unit focuses on using various methods of solving linear systems.
_________â_Part 1 Unit 1 Linear Functions
_________â_Part 1 Unit 2 Graphing Linear Functions
_________â_Part 1 Unit 3 Linear Systems
Part 2 Description
This part of the course covers the concepts of matrices, quadratic functions, polynomials, and polynomial functions. As the students gain an understanding of matrices, they will transition into using Cramers rule to solving linear systems. The second unit then details the properties and applications of polynomials and polynomial functions. The third unit details quadratic functions and solving quadratic equations with complex roots.
_________â_Part 2 Unit 1 Matrices
_________â_Part 2 Unit 2 Polynomials and Polynomial Functions
_________â_Part 2 Unit 3 Quadratic Functions