AP Calculus Test Prep
Our class provides instruction designed to improve calculus concepts and boost exam confidence. With guidance, strategies, and review of key concepts, we help students master calculus topics and maximize their AP exam scores.
What's included
16 live meetings
14 hrs 40 mins in-class hoursHomework
1-2 hours per week. 3-6 per weekAssessment
1-2 throughout the classClass Experience
US Grade 10 - 12
Intermediate - Advanced Level
Our AP Calculus Test Prep class is designed for students aiming to excel on the AP Calculus AB exam. Through a mix of targeted instruction, guided practice, and exam-specific strategies, this course will provide a comprehensive review of all major topics covered on the exam. Students will develop problem-solving skills, reinforce their understanding of key concepts, and gain valuable test-taking strategies, all while building confidence in their abilities. What Will Be Taught: The class will cover all essential topics in AP Calculus, including limits, derivatives, integrals, differential equations, and their applications. We will focus on the most frequently tested concepts on the AP exam, including: Limits and Continuity Derivatives and their applications (e.g., optimization, related rates) Integrals, techniques of integration, and area/volume problems Differential equations and slope fields The Fundamental Theorem of Calculus Common real-world applications of calculus Class Structure: This is an 8-week course, with two 90-minute sessions per week. Each session is structured to provide a blend of lecture, interactive problem-solving, and practice exams. Classes will be divided as follows: Introduction and Lecture: We will begin each class with a focused lecture on the topic of the day, breaking down complex concepts into manageable sections and reinforcing understanding with examples. Guided Practice: After each lecture, students will work through example problems with my guidance. I will walk through common problem-solving strategies, explain key steps, and answer questions. Active Learning: Interactive components, such as in-class quizzes, games, and discussions, will be incorporated to reinforce learning and engage students. Practice and Review: Each class will include time for independent practice, allowing students to work on problems that mimic those found on the exam. We’ll review these together in class to correct mistakes and solidify understanding. Teaching Style: I emphasize an interactive and student-centered approach to teaching. I believe in making complex topics accessible by breaking them down step-by-step and using a variety of methods to engage students. I incorporate visuals, real-life examples, and a variety of resources (like slides, videos, and worksheets) to keep lessons dynamic. My teaching style is highly adaptable: I make sure to adjust my pacing and approach based on the students' individual needs and progress. Student Interaction: Students will have plenty of opportunities to interact with me throughout the course. The class format encourages active participation: Lecture: In-depth, clear explanations with visual aids and real-time examples Q&A and Discussions: Students can ask questions at any time during class. I encourage a discussion-based environment where students can share their thoughts and problem-solving strategies with one another. Interactive Problem Solving: Students will often work through problems in pairs or small groups to discuss solutions and strategies before reconvening to discuss them as a class. Games and Challenges: To make learning fun, I’ll use games and friendly competitions to reinforce concepts. These activities are designed to improve students' confidence and keep them engaged while practicing for the exam. In-Class Practice: We will have regular quizzes and timed practice tests in class, simulating exam conditions to help students build test-taking stamina. Additional Class Details: Homework: Homework assignments will be given to ensure practice between classes. These assignments will mirror the types of problems seen on the AP exam. Individual Feedback: I provide detailed feedback on assignments, quizzes, and practice tests to help students understand where they need to improve and where they’re excelling. Final Exam Simulation: The last week of class includes a full-length practice exam, where students will apply everything they’ve learned. We’ll review this exam in detail, discussing mistakes and strategies for improving scores. By the end of this course, students will not only have mastered the calculus concepts necessary for the AP exam but will also be equipped with the strategies to approach both the multiple-choice and free-response sections with confidence. I aim to create a supportive, interactive, and challenging learning environment where students feel empowered to succeed on the AP Calculus exam!
Learning Goals
Students will gain a deep understanding of the core principles of AP Calculus AB, including limits, derivatives, integrals, and differential equations. They will be able to define and apply these concepts in a variety of problem-solving scenarios.
Students will learn to solve optimization problems, related rates, and find the area under curves and volumes of solids. They will understand how calculus is applied in fields such as physics, economics, and biology.
Syllabus
Curriculum
Follows College Board Advanced Placement CurriculumStandards
Aligned with Advanced Placement (AP) Standards16 Lessons
over 8 WeeksLesson 1:
Course Overview and AP Exam Structure
Introduction to AP Calculus; breakdown of the AP exam format (Multiple Choice and Free Response); test-taking strategies
55 mins online live lesson
Lesson 2:
Limits and Continuity
Definition of limits
Properties of limits
Continuity and theorems related to limits
Practice problems
55 mins online live lesson
Lesson 3:
Definition of the Derivative
Derivative as the rate of change
Rules of differentiation (power rule, product rule, quotient rule)
Slope of the tangent line
55 mins online live lesson
Lesson 4:
Derivatives - Applications
Derivatives of trigonometric, exponential, and logarithmic functions
Implicit differentiation
Related rates problems
Practice problems
55 mins online live lesson
Other Details
Pre-Requisites
An understanding of concepts like limits, derivatives, and integrals is recommended, though we will provide focused review of key topics. Students should be comfortable and have basic experience in applying calculus principles.
External Resources
Learners will not need to use any apps or websites beyond the standard Outschool tools.
Teacher expertise and credentials
I hold a Bachelor's degree in Mathematics and Physics, along with a Master's degree in Biomedical Engineering. This academic background has provided me with a strong foundation in both theoretical and applied mathematics, allowing me to approach calculus concepts from multiple perspectives. My expertise spans not only the core topics of calculus but also the practical applications of mathematics in various scientific and engineering fields.
For the past 8 years, I have been working with students in a wide range of math subjects, including algebra, geometry, calculus, and physics, across various educational settings. I have experience teaching both high school and college-level students, offering one-on-one tutoring, leading small group sessions, and teaching larger classrooms. I am skilled at adapting my teaching style to suit the needs of individual learners, whether they are just starting to grasp the concepts or preparing for high-stakes exams like the AP Calculus test.
In addition to my academic qualifications, I have extensive experience in helping students improve their test-taking abilities. I have helped students prepare for AP exams, SATs, and other standardized tests, focusing on building problem-solving skills, improving test-taking strategies, and boosting confidence. My approach is student-centered, and I prioritize creating a supportive and interactive environment where students feel comfortable asking questions and actively engaging with the material.
With 8 years of experience in tutoring, I have developed the patience, adaptability, and communication skills necessary to work with students of all learning styles. Whether through in-person sessions or virtual learning environments, I am committed to helping each student reach their full potential in mathematics and beyond.
Reviews
Live Group Course
$25
weekly2x per week, 8 weeks
55 min
Live video meetings
Ages: 16-18
1-10 learners per class