[Hourly Lessons] Math, Chemistry & Biology | 1-on-1 Tutoring with Kevin Trig

About Course

Welcome!

Let’s make math, chemistry, and biology finally make sense together.

Struggling with a difficult topic? Preparing for an important exam? Or simply feeling lost in class?
I’ve got you.

Every lesson is completely personalized. We’ll work at your pace, focus on the concepts that matter most, and build confidence one step at a time. Whether you’re studying for the AP, IB, A-Level, SAT, or another international curriculum, I’ll guide you through each concept with clear, logical explanations and plenty of practice.

My Teaching Approach

01. Understand

Build the concepts first instead of relying on memorization.

02. Practice

Apply each idea through carefully selected problems and examples.

03. Improve

Identify weak areas and develop stronger problem-solving strategies.


Course Contents

Explore the curriculum below to see the topics covered. Each course can be adapted to your current level, school curriculum, and academic goals.

🧬 AP Biology

Unit 1 – The Chemistry of Life

Molecular foundations of biological systems.

  • The chemical context of life
  • Water and its biological properties
  • Carbon chemistry
  • Biological macromolecules

Unit 2 – The Cell

  • Prokaryotic & eukaryotic cells
  • Cell membranes and transport
  • Enzymes and metabolism
  • Cellular respiration
  • Photosynthesis
  • Cell communication & division

Unit 3 – Genetics

  • Meiosis
  • Mendelian genetics
  • Chromosomal inheritance
  • Gene expression
  • Viruses & biotechnology

Unit 4 – Mechanisms of Evolution

  • Natural selection
  • Population genetics
  • Speciation
  • History of life

Unit 5 – Evolutionary History of Biological Diversity

  • Phylogenetic trees
  • Bacteria & archaea
  • Plants, fungi & animals
  • Evolution of vertebrates

Unit 6 – Plant Form and Function

  • Plant anatomy
  • Transport systems
  • Reproduction
  • Hormones & environmental responses

Unit 7 – Animal Form and Function

  • Nutrition
  • Circulatory & respiratory systems
  • Immune & excretory systems
  • Nervous & endocrine systems
  • Behavior

Unit 8 – Ecology

  • Ecosystems
  • Population ecology
  • Community interactions
  • Conservation biology

⚗️ AP Chemistry

Unit 1 – Atomic Structure and Properties

  • Moles and molar mass
  • Atomic structure and electron configuration
  • Mass spectra and elemental composition
  • Periodic trends and valence electrons
  • Ionic compounds and photoelectron spectroscopy

Unit 2 – Compound Structure and Properties

  • Types of chemical bonds
  • Intramolecular forces and potential energy
  • Ionic and metallic structures
  • Lewis diagrams and resonance
  • VSEPR theory and hybridization

Unit 3 – Properties of Substances and Mixtures

  • Intermolecular forces and phase properties
  • Ideal and non-ideal gas laws
  • Solutions and solubility
  • Spectroscopy

Unit 4 – Chemical Reactions

  • Net ionic equations
  • Stoichiometry
  • Titrations
  • Acid-base reactions
  • Redox reactions

Unit 5 – Kinetics

  • Rate laws
  • Collision model
  • Reaction mechanisms
  • Catalysis

Unit 6 – Thermochemistry

  • Calorimetry
  • Enthalpy
  • Hess’s Law
  • Bond enthalpies

Unit 7 – Equilibrium

  • Reaction quotient
  • Equilibrium constant
  • Le Châtelier’s Principle
  • Solubility equilibria

Unit 8 – Acids and Bases

  • pH and pOH
  • Weak acids and bases
  • Buffers
  • Titration curves

Unit 9 – Thermodynamics & Electrochemistry

  • Entropy
  • Gibbs free energy
  • Galvanic cells
  • Electrolysis

🧪 Chemistry — Regular / Honors

This comprehensive curriculum covers foundational chemistry through advanced Honors-level topics and first-year university preparation.

Foundations & Quantitative Chemistry

  • Chemistry in context and classification of matter
  • Measurement, SI units, accuracy, precision, and uncertainty
  • Atomic structure and isotopes
  • The mole and molar mass
  • Empirical and molecular formulas
  • Molarity and concentration
  • Stoichiometry and limiting reactants
  • Percent yield

Bonding & Molecular Structure

  • Electron configurations and periodic trends
  • Ionic and covalent bonding
  • Lewis structures
  • Molecular geometry
  • Polarity
  • Valence bond theory
  • Hybridization
  • Molecular orbital theory

States of Matter & Solutions

  • Gas laws and kinetic molecular theory
  • Real gases and gas mixtures
  • Properties of liquids and solids
  • Phase diagrams
  • Crystal structures
  • Solutions and solubility
  • Colligative properties
  • Colloids

Chemical Reactions & Equilibrium

  • Reaction rates and kinetics
  • Rate laws and collision theory
  • Catalysis
  • Chemical equilibrium
  • Equilibrium constants
  • Le Châtelier’s Principle
  • Equilibrium calculations
  • Acid-base equilibria
  • Buffers and titrations
  • Solubility equilibria

Thermodynamics & Electrochemistry

  • Energy, heat, and calorimetry
  • Enthalpy and Hess’s Law
  • Entropy
  • Laws of thermodynamics
  • Gibbs free energy
  • Galvanic and electrolytic cells
  • Electrode potentials
  • Electrolysis

Advanced & Applied Chemistry

  • Representative elements
  • Transition metals
  • Coordination chemistry
  • Organic chemistry
  • Nuclear chemistry
  • Medical and industrial applications

📐 Mathematics — Algebra, Geometry & Precalculus

Algebra 1

  • Linear equations and inequalities
  • Graphing and writing linear functions
  • Systems of equations
  • Exponential functions and sequences
  • Polynomials and factoring
  • Quadratic functions and equations
  • Radicals and data analysis

Geometry

  • Geometry fundamentals
  • Reasoning and formal proofs
  • Parallel and perpendicular lines
  • Transformations and symmetry
  • Congruent and similar triangles
  • Triangle relationships
  • Quadrilaterals and polygons
  • Trigonometry
  • Circles and measurement

Algebra 2

  • Functions and function notation
  • Complex numbers
  • Polynomial functions
  • Radical and rational functions
  • Exponential and logarithmic functions
  • Sequences and series
  • Trigonometry and probability
  • Data analysis and regression

Precalculus

  • Polynomial and rational functions
  • Exponential and logarithmic functions
  • Trigonometric functions and identities
  • Vectors and analytic geometry
  • Polar coordinates
  • Conic sections
  • Matrices
  • Discrete mathematics
  • Limits and introduction to calculus

Subjects I Teach

Standardized Tests

  • SAT Math
  • ACT Math

AP Courses

  • AP Calculus AB / BC
  • AP Chemistry
  • AP Biology
  • AP Precalculus

IB Diploma Programme

  • IB Mathematics AA / AI
  • IB Chemistry
  • IB Biology
  • IB IA Guidance

A-Level

  • Mathematics
  • Chemistry
  • Biology

Other Subjects

  • Algebra 1 & 2
  • Geometry
  • Precalculus
  • Functions
  • Advanced Functions
  • Integrated Math (IM1–IM4)
  • Physics
  • Chemistry

About Me

Hi! I’m Kevin, a Chemical Engineering graduate from National Taiwan University (NTU).

For over 10 years, I’ve been helping international school students succeed in mathematics, chemistry, and biology. Every student learns differently, so my teaching focuses on identifying the most effective approach for each individual.

My goal is simple: make difficult concepts easier to understand, help you build lasting confidence, and achieve meaningful academic progress.


What to Expect

💻 One-on-One Learning

Live lessons via Zoom or Google Meet, focused entirely on your needs.

📝 Personalized Materials

Digital whiteboard, lesson notes, handouts, and targeted practice.

🎯 Exam-Focused

Structured preparation for AP, IB, A-Level, SAT, ACT, and school examinations.

🌏 Bilingual Support

Lessons available in English or Mandarin.

Ready to Get Started?

Whether you’re aiming for top scores, preparing for a major exam, or simply trying to catch up, you don’t have to do it alone.

Let’s tackle it together—one concept, one session at a time.

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What Will You Learn?

  • Finally understand the core ideas behind math, chemistry, and biology — not just memorize them
  • Tackle difficult questions with step-by-step methods that build confidence and speed
  • Prepare for exams like SAT, ACT, AP, IB, and A-Level with targeted strategies
  • Strengthen your foundation in key topics: functions, calculus, stoichiometry, cell biology, and more
  • Learn smarter: how to organize your notes, review effectively, and avoid common mistakes
  • Get personal support on IAs, practice papers, and concept breakdowns at your pace

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