Course Description
Algebra for 11th grade is an in-depth follow-up to an Introduction to Algebra course and a precursor to a Precalculus course. The course focuses on the mastery of critical skills and exposure to new skills necessary for success in subsequent math courses. The course examines various functions such as linear, quadratic, rational, exponential, logarithmic, and others. Included in the course are several units on real-world applications of these functions.
Course Goals
Upon completion of this course, students will be prepared to move on to Precalculus and take college-entry standardized tests. Students will be able to apply their mathematical knowledge of functions to a variety of situations.
Course Requirements
Student taking this course are expected to have mastered the most important topics taught in an Introduction to Algebra (Prealgebra) course. Important topics to master are:
Operations of Signed Numbers
Operations of Fractions
Graphing Ordered Pairs in a Coordinate Plane
Course Includes
- 13 Hours of Video
- 25 Video-lessons
- 25 Practice Worksheets
- 25 Practice Worksheet Review Videos (I review each answer step by step)
- Over 300 Practice Exercises
- 5 Unit Tests
- 1 End-of-Course Exam
- Answer "keys" to all practice worksheets, quizzes and tests (Additional Resources for Parents)
- Additional practice exercises and discussion topics (Additional Resources for Parents)
Target Audience
This video course is primarily intended for students who have already mastered Prealgebra concepts (typically 14+) and are planning on taking Precalculus and taking college-entry exams.
Technology
The majority of the lessons are taught so that technology is not needed. However, there are a few units where the use of a standard scientific calculator that is capable of performing logarithms is required.
Course Topics
- Absolute Value
- Linear Equations
- Real-World Applications of Linear Equations
- Linear Inequalities
- Operations on Polynomials
- Factoring Polynomials
- Real and Complex Numbers
- Operations on Rational Expressions
- Solving Rational Equations
- Imaginary Numbers
- Functions
- Quadratic Functions
- Solving Quadratic Functions
- Graphing Quadratic Functions
- Parent Functions
- Transformations of Functions
- Inverse Functions
- Exponents
- Laws of Exponents
- Solving Exponential Equations
- Graphing Exponential and Logarithmic Functions
- Laws of Logarithms
- Translating between Exponential and Logarithmic Equations
- Solving Logarithmic Equations