Precalculus Full Course Fall Session
In this 16-session course, students will learn the most important topics of Precalculus to prepare them for the Calculus course.
Dr. Wang, Ph.D., Math and Physics
Average rating:
4.8
Number of reviews:(17)
What's included
16 live meetings
10 hrs 40 mins in-class hoursHomework
1 hour per week. Homework problems will be assigned at the end of each session for students to practice and solidify the content that was covered in class.Assessment
includedClass Experience
US Grade 8 - 11
Welcome to Precalculus! In this course, we embark on an exciting journey through the fundamental principles of mathematics that serve as the gateway to higher-level mathematical thinking. Precalculus serves as a bridge between the concrete concepts of algebra and the abstract realms of calculus, providing students with the tools and techniques they need to tackle complex mathematical problems with confidence. Throughout this condensed summer course, students will delve into various topics, including functions, equations, and trigonometry, while honing their problem-solving skills and mathematical reasoning abilities. The class experience is designed to be interactive and collaborative, fostering a supportive learning environment where students can explore, question, and discover at their own pace. This class will be especially useful for students who will take Calculus in the fall semester. By the end of this course, you will have developed a solid foundation in precalculus, equipped with the skills and knowledge you need to excel in calculus and beyond. So, get ready to embark on a journey of exploration, discovery, and mathematical mastery. Welcome to Precalculus!
Learning Goals
By the end of this course, you will have developed a solid foundation in precalculus, equipped with the skills and knowledge you need to excel in calculus and beyond.
Syllabus
Curriculum
Follows Teacher-Created CurriculumStandards
Aligned with Advanced Placement (AP) Standards16 Lessons
over 8 WeeksLesson 1:
Functions
Introduction to functions
Function notation
Domain and range
Operations on functions (addition, subtraction, multiplication, division)
Composite functions 40 mins online live lesson
Lesson 2:
Linear Functions
Slope-intercept form
Point-slope form
Parallel and perpendicular lines
Applications of linear functions 40 mins online live lesson
Lesson 3:
Quadratic Functions
Standard form, vertex form, and factored form
Graphing quadratic functions
Solving quadratic equations (factoring, completing the square, quadratic formula) 40 mins online live lesson
Lesson 4:
Polynomial Functions part 1
Degree of polynomials
Polynomial long division and synthetic division
Remainder theorem and factor theorem
Rational root theorem 40 mins online live lesson
Other Details
External Resources
Learners will not need to use any apps or websites beyond the standard Outschool tools.
Joined March, 2024
4.8
17reviews
Teacher expertise and credentials
Hello! I am Dr. Wang! I have a Ph.D. degree in Aeronautical Engineering from a top school in the United States. I have 10+ years of experience teaching classes to college students and high school students. I enjoy teaching STEM subjects to students of all ages. I especially focus on two subjects: Math and Physics. Class topics range from AP Physics C and Calculus BC to Honor Physics and Algebra. I teach with a lot of visual cues and graphing examples because I think those are always extremely helpful for students to understand different concepts. I am a super soccer fan. Nice to meet you all!Reviews
Live Group Course
$60
weekly or $480 for 16 classes2x per week, 8 weeks
40 min
Completed by 1 learner
Live video meetings
Ages: 13-18
3-12 learners per class
