Emma G

A beginner-friendly introductory crashcourse on differentiation! We will cover the fundamentals of calculus, the fundamentals of differentiation, how to calculate derivatives, and how derivatives are applied in the real world. I tutor Calculus and I got a 5 on the AP BC. I aim to make calculus more approachable and intuitive as calculus is used extensively in physics and technology. I believe having a solid foundation in math opens up many more career pathways in STEM. Session Structure: I will explain concepts in differential calculus in an intuitive manner so you can understand where some critical equations originated from. Then, we will use our knowledge to solve practice problems on Khan Academy. We will end with a Q&A where you can ask questions on differential calculus! Prerequisites: You don't need to know any calculus as this is an introductory course, but you should have knowledge in algebra. It is recommended that you bring some paper and a pen - we will be working on some problems in the session!

A comprehensive deep-dive into polynomials! Manipulating polynomials is the basis for Algebra II and more harder subjects, so I want to make sure you understand this concept well! Prerequisites: You would benefit most from this session if you are familiar with Algebra I skills (solving equations, expanding expressions, etc...) Session Structure: Each week, we will have a 60-minute class. We will discuss last week's homework for around 10 minutes, and then we will jump into the content. For approximately 20 minutes, we will: - Cover material, - Answer FAQs about the topic, - Review/link back to previous material. During the next 15 minutes of class, we will work through practice problems. The final 15 minutes would be left for Q&A, homework help, or more practice problems if we have time. On some weeks, there is also an optional 20-minute extension class 15 minutes after the main session has finished. If you feel you've mastered all of the content and want to learn even more, take a 15-minute break and hop into the next session! We will alternate between doing harder practice problems and learning new, more difficult content. Note: If you are late and you haven't been let into the Zoom meeting, please send a message in the group chat or direct-message me so I will remember to let you in! Weekly Homework: Each week I will send you a google document or a PDF (or any version of the file you prefer) with around 5 practice problems for you to do. The problems are sorted by difficulty, I understand you would be quite busy and I don't want to stress you out, so its not a requirement to do any of these homework questions. However, doing some problems in your spare time can help you solidify your knowledge. If you didn't have a chance to do the homework problems, that's ok! We will go over it in the beginning of class for a few minutes. Series Structure: We will cover a lot of topics for Algebra II. If you would like to cover a topic not listed here or if you think a topic should be removed, please message me in the group chat! If others support the change in the course structure, I will change the series accordingly. Otherwise, I might use your request for the extension class. Polynomial Introduction 1. What are polynomials, and why do we care? 2. Polynomial Arithmetic 3. Polynomial Division 3E. Synthetic Division Quadratics Deep-dive 4. Quadratics and their graphs 4E(xtension). Other ways of expressing parabolas 5. Factoring Quadratics for Roots 5E. Completing the Square 6. The Quadratic Formula 6E. Derivation of the Quadratic Formula I will add more once I get to know you and what topics you are most interested int! What to Bring: Bring some pen and paper, because we will be working through some practice problems! It would also be great to have a calculator unless you want to exercise your mental arithmetic.