Joshua Haholongan
Mastering AP Math: Your Key to Exam Success!
Private tutor - Joshua Haholongan
Bachelors degree
/ 30 min
Joshua - About your AP tutor
I have been recognized as a World Mathematics Invitational Gold Medalist and a World Mathematics Competition Gold Medalist. My technical skills include proficiency in MATLAB, Mathematica, and LaTeX. I also hold certifications from the Corporate Finance Institute and TryHackMe Pre Security. My area of expertise is Mathematics, but I also possess good knowledge of statistical methods, actuarial concepts, and various computer programming languages. I consider myself adept at multitasking, strategic thinking, and detailed explanations, making me effective in both individual and collaborative academic environments.
Joshua graduated from Kings College London
Teaching methodology
I offer tutoring sessions in Mathematics for high school and university students, providing detailed and personalized instruction tailored to each student's specific needs. My approach focuses on reinforcing core concepts and employing advanced problem-solving strategies to enhance comprehension and retention. I assist students with their assignments, homework, and test preparation, ensuring they gain a deep understanding of the material. Regular feedback is integral to my methodology; I consistently seek input from both students and parents and provide comprehensive feedback on student performance. This ensures that my tutoring sessions are effective and continually adapted to optimize the learning experience. Through strong communication and collaboration, I create an engaging and supportive learning environment that fosters significant academic improvement.
AP tutor test prep specialities
GCSE (UK)
Next Generation Science Standards - NGSS (USA)
A-Levels (UK)
International Baccalaureate (IB)
Common Core State Standards - CCSS (USA)
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AP concept taught by Joshua
During their math lesson, Joshua and Joshua Campbell reviewed trigonometry concepts, including sine, cosine, tangent, and the Pythagorean theorem. They then practiced solving right triangle problems, with Joshua Campbell specifically working on applying formulas and using a calculator for calculations. Joshua plans to send an interactive quiz or a PDF with practice questions for further study.
Sine & Cosine Value Range
Pythagoras Theorem
SOH CAH TOA Mnemonic
Trigonometry Basics
Joshua Haholongan tutored Anay Chirputkar, reviewing discrete math concepts using a past paper. They covered graph theory, game theory, linear programming, and combinatorics. Anay will complete the paper and attempt another past paper before their next session to identify areas needing further review before the exam.
Hamiltonian Cycle
Graph Contraction
Game Theory - Play Safe Strategy
Game Theory - Nash Equilibrium
Game Theory - Dominated Strategies
Linear Programming - Simplex Method
Combinatorics - Derangements
Planar Graphs & Euler's Formula
Joshua and Anay collaborated on a past exam paper, covering topics such as linear programming, sorting algorithms, minimum spanning trees, and the route inspection problem. Anay practiced problem-solving while Joshua provided guidance and explanations. They agreed to work on the 2020 paper during their next session.
Branch and Bound Method
Linear Programming Formulation
Route Inspection Problem
Minimum Spanning Tree (MST)
Shuttle Sort Efficiency
Bubble Sort Efficiency
Joshua tutored Owen, focusing on solving systems of equations using substitution, dot products and vector projections, finding angles between vectors, and converting between rectangular and polar coordinates. Owen worked through practice problems, and Joshua provided explanations and corrections. They reviewed specific problems from a practice exam, and Owen expressed increased confidence in the material.
Rectangular to Polar Coordinates
Dot Product
Vector Projection
Matrices and Substitution
Angle Between Vectors
Polar to Rectangular Coordinates
Joshua and Owen reviewed various math topics, including arc length, area of a sector, partial fraction decomposition, systems of equations, vectors, and trigonometry, to prepare for Owen's upcoming math exam. Owen worked through practice problems, and Joshua provided guidance and explanations. Joshua created additional practice problems for Owen to work on to solidify his understanding of systems of equations.
Horizontal and Vertical Components
Partial Fraction Decomposition
Arc Length
Area of a Sector
Systems of Equations
Joshua and Anay reviewed discrete math concepts, including graph theory and algorithm efficiency, and tackled a game theory problem from a past paper. They worked through minimax strategies, dominance, and probability calculations to determine optimal mixed strategies. They agreed to continue working on the 2021 paper during their next session scheduled for next Saturday at noon.
Graph Coloring Algorithm
K5 Graph Thickness
Probability in Game Theory
Game Theory - Unstable Games
Game Theory - Minimax Strategy
Order of Efficiency
Passes in Graph Algorithms
Joshua - also teaches
AP Calculus AB
AP Calculus BC
AP Precalculus
AP Statistics
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