Reshma Hafeez
Experienced math teacher: engaging, interactive teaching and skilled in building a personalised learning experience




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Reshma Hafeez
Bachelors degree
/ 55 min
Reshma - Know your tutor
My name is Reshma Hafeez, and for over fifteen years, I have devoted my career to helping students unlock their potential and develop confidence in mathematics. Teaching math has always been more than a profession for me—it’s a lifelong passion rooted in the belief that every student can succeed when guided with patience, clarity, and encouragement. Over the years, I’ve had the privilege of teaching learners at all levels and I’ve seen how the right approach can transform math from a subject of anxiety into one of achievement. My teaching journey began with a simple goal: to make math meaningful and accessible to all students, regardless of their background or skill level. I quickly learned that effective teaching requires not only strong subject knowledge but also the ability to connect with students, understand their challenges, and adapt lessons to suit their learning styles. That’s why I take a personalized approach to instruction. Over the course of my career, I have taught a wide range of mathematical topics—algebra, geometry, trigonometry, and calculus—tailored to various grade levels and curriculums. Whether it’s preparing a high school student for a challenging exam, helping a college learner refine their analytical reasoning, I strive to make each session both productive and enjoyable. I believe that math becomes easier when students see its relevance in their everyday lives and gain the confidence to approach problems independently. In addition to my classroom experience, I specialize in test preparation and homework help, supporting students who are aiming for academic excellence or need extra guidance to strengthen specific areas. I have worked extensively with learners preparing for standardized tests such as the SAT, ACT, GRE.
Reshma graduated from York University


Specialities of your tutor
Quick Math Games
Exam Simulation
Problem Solving
International Baccalaureate (IB)
Test prep strategies
Test Strategy
Practice Tests
Math Tricks and Hacks
Learning Plans
AI modules
Summary
Podcast
Quiz
Learnings
Flashcard
Spotlight
Zero Risk Guaranteed
15-days refund
Free tutor swap
No cancel fee
1-yr validity
24/7 support
Student types for classes
High School students
Home schooled
College students
Middle School students
ADHD
Class overview
My approach focuses on interactive lessons, practice drills and visual explanations to engage students effectively, build confidence, and enhance learning retention. As a math teacher, I specialize in teaching a wide range of math subjects such as high school math, algebra, calculus and more. I leverage a variety of tools like online platforms and interactive sessions to create personalized tutoring sessions. I enjoy helping students grow and learn and especially understand math concepts. I help guide students from basics to advanced math focusing on error analysis and the practicality of math. I believe math should be made fun and easy and is part of our daily lives and routines. I have helped hundreds of students excel in math and look forward to learning from my students and working with them to achieve their highest potential.
Reshma also teaches
Algebra
College Algebra
College Math
Elementary School Math
High School Math
Middle School Math

Mathematics concepts taught by Reshma
The Student and Tutor focused on preparing for an upcoming physics quiz on vectors. They practiced specific homework problems related to vector projection, dot product, and finding angles between vectors, identifying and correcting an initial error in interpreting question parameters. The Tutor provided an external link with additional dot product practice for the Student to complete before the quiz.
Vector Concepts: Scalar Projection
Dot Product: Calculation and Applications
Mastering Problem Analysis & Context
Right-Hand Rule Fundamentals
Student and Tutor worked on advanced probability problems, focusing on deconstructing word problems and applying concepts like the Law of Total Probability, conditional probability, and the binomial formula. They practiced identifying variables for binomial calculations and solving combination problems. The Student plans to review the concepts and practice more questions for an upcoming quiz.
Binomial Probability Formula
Probability in Cost Analysis
Combinations (n choose k)
Conditional Probability
Law of Total Probability
Translating Probability Word Problems
The Student and Tutor continued their study of thermodynamics, focusing on enthalpy, PV work, and enthalpies of reaction. They reviewed the First Law of Thermodynamics and endothermic/exothermic processes, then worked through calculations involving stoichiometry and enthalpy changes for chemical reactions. For homework, the Student was assigned practice problems on enthalpy calculations from a provided worksheet.
Calculating Heat Changes Using Stoichiometry
Interpreting Exothermic and Endothermic Processes
Enthalpies of Reaction (ΔHᵣₓₙ)
First Law of Thermodynamics & PV Work
Enthalpy (H) – The Heat of a Reaction
The Student and Tutor reviewed trigonometry concepts, including the unit circle, special triangles for exact trigonometric values, and the CAST rule for determining signs in different quadrants. They practiced drawing angles, converting between degrees and radians, and began an introduction to reciprocal trigonometric functions like cotangent and cosecant. The Tutor shared a document for future practice.
Exact Values from Special Triangles
Reciprocal Trigonometric Functions
Degrees and Radians Conversion
CAST Rule for Quadrant Signs
Unit Circle & Reference Angles
The Student and Tutor worked on solving various problems involving quadratic equations in a math session. They focused on finding the maximum height and time in projectile motion scenarios, calculating height at specific times, and determining when an object hits the ground. The Tutor also introduced the vertex formula for quadratic equations as a method to find the time to reach a maximum value in a population model. The Student has an upcoming open-book test, and the concepts discussed are relevant for revision.
Analyzing Quadratic Functions in Vertex Form
Calculating Height and Time with Vertex Form
Vertex Formula for Standard Form Quadratics
The Student and Tutor reviewed recent math test results, focusing on identifying areas for improvement based on past performance. The session then introduced new trigonometry concepts, including unit circle properties, the CAST rule, and angle conversions. They practiced determining angle measures and their quadrants, including co-terminal angles.
Unit Circle & Angle Conversions
Quadrants and the CAST Rule
Evaluating Trigonometric Expressions in Radians
Co-terminal Angles and Angle Sketching
Exact Values for Special Angles
Teaching tools used by tutor
Quizzes
Math Games
Digital whiteboard
Practice worksheets
Visualization & Exploration
Interactive lessons
Note taking
Open Q&A
Chat for quick help
Mobile joining

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