Cole Kwok
Experienced tutor specializing in Math and Biology. Feel free to contact me for any inquiries!
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Cole Kwok
Bachelors degree
/ 55 min
Your biology tutor - Cole
My name is Cole Kwok and I am a dedicated tutor with a strong academic foundation and a genuine passion for helping others learn. I hold a Bachelor’s degree in Molecular Biology and Biochemistry, a discipline that has trained me to think critically, approach problems systematically, and understand complex systems at both a theoretical and applied level. Alongside my background in the life sciences, I have developed extensive knowledge in mathematics and computer science, which allows me to support students across a wide range of subjects. My interdisciplinary expertise is one of my greatest strengths as a tutor, enabling me to connect ideas across fields and tailor my teaching to each student’s needs. I have over ten years of tutoring experience, working with students of varying ages, academic levels, and learning styles. Throughout this time, I have developed a flexible and adaptive teaching style that prioritizes clarity, patience, and engagement. I understand that every student learns differently, and I take the time to identify what methods work best for each individual. Whether a student benefits from visual explanations, step-by-step walkthroughs, or real-world examples, I adjust my approach to ensure the material is accessible and meaningful.
Cole graduated from Simon Fraser University
Academic expertise of your biology tutor
Test prep strategies
Biology experiments
Homework help
Biology lab skills
Review sessions
Real world application
Career guidance
CoTutorAI modules
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Types of students for biology class
Anxiety or Stress Disorders
High School students
College students
Middle School students
ASD
Elementary School students
ADHD
Home schooled
Your biology tutor also teaches
Biology
Cell biology
Genetics
Microbiology
Human Anatomy
Biotechnology
Biology concepts taught by Cole
The Student and Tutor dedicated the session to strengthening the Student's math skills. They worked extensively on simplifying rational algebraic expressions using various factoring techniques, including sum of cubes and factoring by grouping. This was followed by comprehensive practice with PSAT math questions, covering a wide range of topics in algebra, geometry, functions, and statistics, in preparation for an upcoming exam.
Mastering Rational Expression Simplification
Strategic Approaches for Standardized Math Tests (PSAT/SAT)
Essential PSAT/SAT Math Foundations
The session began with a diagnostic review of quadratics, covering expansion, finding zeros, and the discriminant. Following this, the Tutor introduced the concept of radicals, explaining their notation and relationship to powers. The student then practiced simplifying various radical expressions from their homework, and the Tutor mentioned looking into the student's specific curriculum for future planning.
Factoring Quadratic Expressions & Finding Zeros
The Discriminant: Predicting Solutions
Understanding Radical Notation
Radicals as Fractional Exponents
Simplifying Radicals using Perfect Squares
Student and Tutor reviewed foundational Calculus concepts, including tangent lines, instantaneous rate of change, and the definition and evaluation of limits through numerical and graphical methods. They practiced interpreting one-sided limits and discussed the significance of continuity in calculus. The Tutor also mentioned scheduling future sessions to work on the Student's biology lab reports.
Discontinuities: Holes vs. Vertical Asymptotes
Tangent Lines & Instantaneous Rate of Change
The Difference Quotient (Foundation for Derivatives)
Evaluating Limits Numerically
One-Sided Limits & Limit Existence
The Student and Tutor reviewed material for an upcoming test on rational functions. They practiced identifying asymptotes, points of discontinuity, domain, and x/y-intercepts, and worked on simplifying and solving rational equations, including a word problem involving rates. The Tutor advised the Student to focus on stating restrictions before simplification and to practice for speed.
Points of Discontinuity
Domain
and Intercepts
Simplifying Rational Expressions and Stating Restrictions
Solving Rational Equations
Rate and Work Word Problems
Asymptotes and Basic Graphing of Rational Functions
The session provided a comprehensive review of foundational AP Calculus topics, including various types of limits, derivative rules (power, product, quotient, chain), and an introduction to anti-derivatives (integrals) and optimization problems. Student practiced solving numerous problems and discussed the underlying intuition of these calculus concepts. The Tutor noted specific pre-calculus topics requiring further attention and committed to creating a tailored AP Calculus study plan.
Introduction to Antiderivatives (Integrals)
Intuition of Derivatives
Optimization Problems
Core Derivative Rules
Limits at Infinity (Leading Coefficients)
Evaluating Limits (Algebraic Methods)
Student and Tutor reviewed rational expressions, practicing simplification of complex fractions involving addition and subtraction. They then applied these concepts to word problems, including a work-rate scenario and a brief discussion on boat-and-current problems. The session concluded with an introduction to identifying vertical and horizontal asymptotes for rational functions, preparing the Student for upcoming class material.
Adding and Subtracting Rational Expressions
Determining Excluded Values and Asymptotes
Solving Rational Equations & Work Rate Word Problems
Essential Factoring Techniques for Rational Expressions
Teaching tools used by biology tutor
Digital Note taking
Interactive diagrams
Quizzes
Flashcards
Practice worksheets
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