Course Description:
In this course I guide the students step by step through applying the fundamental skills of mathematics to such topics as functions, equations and inequalities, radicals and rational expressions, logarithmic and exponential relationships, quadratic and polynomial equations, and matrices. The student will be introduced to key concepts and theories that provide a foundation for further study in mathematics (College Algebra, PreCalculus, Calculus, and beyond) and increases students’ mathematic literacy, problem solving, and critical thinking skills. Real world scenarios will be used to introduce and expand upon the topics discussed in each unit. Use of graphing calculators will be incorporated into many of the lessons.
Course Goals:
Upon completion of this course student will know how to recognize, graph, perform operations (add, subtract, multiply, divide), solve, and apply each parent function. Additionally students will be prepared for PreCalculus (or Geometry which is also a prerequisite for PreCal).
Target Audience:
This course is intended for students that have completed Algebra 1 and Math grades 6-8. Geometry is optional, but should be completed before taking Precalculus. Students will be using a TI-84 or TI-85 calculator as part of the lessons.
Course Includes:
52.6 Hours of Video (lessons and working of practice problems)
14 Units
83 Video Lessons
83 Exercise Review Videos (where I go over each exercise problem step by step)
73 Outlined notes, Practice Problems and Paper Quizzes (each lesson)
10 Project Lessons (no quizzes)
82 Short Tests (paper & electronic for each lesson)
82 Test Answer Keys (for parents)
2 Paper Final Exams
Parent resources for each lesson include pdf keys of notes, practice problems, paper quizzes and electronic quiz keys.
Working Sequence:
Step 1) Watch the explanatory video-lesson.
Step 2) Download the practice worksheets (Documents Section) and work on the activities.
Step 3) Watch the Exercise Review Video where I review each problem step-by-step.
Step 4) Take the online test for the lesson. The system will auto-correct. Answer key is provided under the Resources Section (only for parents)
Step 5) Once we finish the unit, we move on to the next unit. Be sure you understood the content and you worked on the activities before moving to another unit.
You can repeat steps 2 and 3 as many times as you like until you gain mastery of the topic. Each topic should take you 2 to 3 days on average to complete.
Course Topics:
Function Properties
Parent Functions
Modeling Fucntions
Absolute Value Functions
Systems of Functions
Matrices
Factoring
Quadratic Functions
Radical Functions
Polynomial Functions
Rational Functions
Exponential Functions
Log Functions
Non-Parent Functions
