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Experienced PhD offers math tutoring for G1-G12, with various types of materials including but not limited to Art of Problem Solving, American Math Competition (AMC8/10), Beast Academy, Singapore Math, A-Level Math (AS/A2), IB Math, Kangroo Math. 
My teaching style is personalized and engaging, with a focus on breaking down complex concepts into manageable steps.

Here's an example lesson list for the tutoring service:

Singapore Math Challenge 2+/3+/4+/5+ (Grade 2 to 5)
Singapore Math Olympia (Junior 2-3, Intermediate 3-4, Advanced 5-6)
Understanding math logic
Using bar model to solve practical problem
Chicken-and-Rabbit Problems
Catching-up and encountering problems
Tree problems
Age problems
Work and date problems
Counting
Shape equations
And more
Exploring Beast Academy (Grade 2)
Introduction to multiplication and division
Problem-solving strategies with visual aids
Exploring patterns and sequences

AoPS Pre Algebra (Grade 5-6)
Learn skills from number and shape equations to easy algebra
Build solid foundation for pre-algebra

AoPS the basic (Grade 6-8)
Emphasize steo-by-step solving problems and proving statements, covers
AoPS Introduction to Number theory
AoPS Introduction to Algebra
AoPS Introduction to Geometry
AoPS Introduction to Counting and probability
Build solid foundation for AMC8 and AMC10

AoPS Intermediate level (Grade 9-10), covers
AoPS Intermediate Algebra
AoPS Intermediate Counting and probability

AMC8 Practical Problems Solving (Grade 6-8)
Practically work on AMC8
With division of practical problems into different themes
Algebra, Numbers, Geometry, Counting, and Probability

AMC10 Practical Problems Solving (Grade 9-10)
Practically work on AMC10
With division of practical problems into different themes
Algebra, Numbers, Geometry, Counting, and Probability

A-Level Math (G9-G11), covers
AS Math (A1)
A2 Math

GCSE Math (G9-G11), Comprehensive review and test

Beast Academy Adventures (Grade 1-5)
Mastery of four operations
Introduction to algebraic thinking
Geometry concepts and problem-solving
Advanced problem-solving techniques
Exploring number theory
Introduction to probability and statistics

IB Math Foundation (Grade 9)
Introduction to IB Math curriculum
Functions and equations
Trigonometry basics

IB Math Applications (Grade 10)
Advanced algebra and functions
Geometry and trigonometry applications
Statistics and probability

Kangaroo Math Competition Preparation(G1-G5)
Exploring Kangaroo Math competition problems 
Advanced problem-solving techniques
Mock competitions and timed practice

Gauss Contest Strategies (G6-G8)
Introduction to Gauss Contest format
Strategies for tackling Gauss Contest problems
Practice with past contest papers

These are just examples, and the actual lesson plan may vary based on the individual student's needs and goals.