Phd Tutoring for Small Group Aops Pre-Calculus
What's included
15 live meetings
13 hrs 45 mins in-class hoursHomework
1-2 hours per week. includedAssessment
includedClass Experience
US Grade 8 - 10
Intermediate - Advanced Level
Class Experience Our small group (2-3 learners) PhD Tutoring for AoPS Pre-Calculus is designed to provide a deep and thorough understanding of advanced math concepts in a collaborative environment. Led by Dr. Victoria, who has over 10 years of teaching experience, this class ensures each student gains mastery in key Pre-Calculus topics. What Will Be Taught? Students will explore advanced Pre-Calculus topics, building a strong foundation for further studies in mathematics. They will learn about functions, polynomial and rational functions, exponential and logarithmic functions, trigonometric functions, sequences and series, and introductory calculus concepts. How Is Your Class Structured? The class is structured into weekly sessions, each lasting 90 minutes. Each session builds on the previous one to ensure a comprehensive understanding of each topic. The small group setting fosters collaborative learning while allowing for individualized attention. How Will You Teach? Dr. Victoria uses a combination of teaching methods to cater to different learning styles: Lectures: Clear and concise explanations of each topic Interactive Problem-Solving: Hands-on exercises with immediate feedback Slides and Visual Aids: Visual tools to illustrate complex concepts Video Clips: Short videos to reinforce key ideas Discussion: Encouragement of questions and group discussions to deepen understanding What's Your Teaching Style? Dr. Victoria's teaching style is student-centered, focusing on understanding and critical thinking rather than rote memorization. She adapts her methods to suit the needs of the group, ensuring each student is engaged and challenged. How Much Will Learners Get to Interact with You and Each Other? Students will have regular interaction with Dr. Victoria through: Group discussions and problem-solving activities Real-time feedback during sessions Opportunities to ask questions and seek clarifications Collaborative exercises to promote peer learning and interaction This class offers a balanced mix of individual attention and collaborative learning, providing students with the support they need to excel in Pre-Calculus.
Learning Goals
Students will achieve a deep understanding of topics such as functions, trigonometry, sequences, series, and introductory calculus; developing proficiency in applying mathematical concepts to solve complex problems and exercises; and are equipping students with the foundational knowledge and skills necessary for further studies in mathematics.
Syllabus
15 Lessons
over 15 WeeksLesson 1:
Function review
Review function basics, graphing functions, composition, and inverse functions.
55 mins online live lesson
Lesson 2:
Introduction to trigonometric functions
Introduce the unit circle, radians, graphs of trigonometric functions, transformations of trig functions, and inverse trig functions.
55 mins online live lesson
Lesson 3:
Trigonometric Identities
Covers Introduction to Trig Identities, Sums and Differences of Angles, Double and Half Angles, Sum-to-product and Product-to-sum, Problem solving with Identities.
55 mins online live lesson
Lesson 4:
Application to Geometry
Covers right triangle trigonometry, law of Cosines, Law of Sines, and More Triangle Relationships.
55 mins online live lesson
Other Details
External Resources
Learners will not need to use any apps or websites beyond the standard Outschool tools.
Teacher expertise and credentials
Dr. Victoria holds a PhD in Mathematics and has over 10 years of experience teaching Pre-Calculus and related subjects. She has extensive expertise in advanced math concepts and a proven track record of helping students achieve academic excellence. Dr. Victoria's teaching experience spans a variety of educational settings, where she has successfully prepared students for advanced coursework and math competitions. Her deep knowledge and personalized approach ensure that each student receives the highest quality instruction tailored to their individual needs.
Reviews
Live Group Course
$111
weekly or $1,659 for 15 classes1x per week, 15 weeks
55 min
Live video meetings
Ages: 13-15
1-3 learners per class