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
Test Strategy
Practice Drills
Quick Math Games
Math Tricks and Hacks
Gamification of Math
Homework help
International Baccalaureate (IB)
Provincial-specific curriculum (CA)
Exam Simulation
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
ADHD
College students
Home schooled
Middle School students
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
Student and Tutor worked through a general calculus practice test, focusing on rules of differentiation, evaluating limits, and determining local maximums, minimums, and stationary points. The Tutor clarified the steps for applying first and second derivatives for these concepts. The Student was assigned to complete the practice test, review answers, and consult their math teacher about incomplete limit questions.
Local Maximum & Minimum (First Derivative Test)
Stationary Points (Second Derivative Test)
Factoring Derivatives to Solve for Critical Points
Evaluating Limits (Incomplete Questions)
The Student and Tutor reviewed previously covered chemistry concepts, including empirical formula calculations. The main focus of the session was the introduction and calculation of molecular formula, with the Student practicing problems to differentiate between empirical and molecular formulas. Homework was assigned, consisting of reviewing examples, reading explanatory text, and completing exercises related to these topics, with a plan to review all concepts together in the next class before starting thermodynamics.
Empirical Formula: Review & Best Practices
Distinguishing Empirical vs. Molecular Formulas
Calculating Molecular Formula
The student and tutor focused on mastering the expansion of cubic expressions, a prerequisite for differentiation. They practiced various expansion methods and applied them to problems, with the tutor providing guidance on common errors. The session concluded with a review of differentiation from first principles involving a cubic function.
Derivatives by First Principles (Review)
Stationary Points
Optimization
and Tangents
Factor Theorem and Remainder Theorem
Expanding Cubics and Cortics
The student and tutor reviewed concepts related to kinematics, focusing on interpreting velocity-time graphs to determine position-time graphs by calculating the area under the curve. They practiced describing motion (forward/backward, speeding up/slowing down) and calculated distance, displacement, average speed, and average velocity, discussing how to handle non-standard graph starting points.
Position-Time Graphs from Velocity-Time Data
Interpreting Velocity-Time Graphs
Distance vs. Displacement
Average Speed vs. Average Velocity
The Tutor and Student reviewed foundational concepts of triangles, including angle sums and classifications. They practiced determining if a triangle is a right triangle using the distance and slope formulas, and solved algebraic problems involving angle and side measures. The next session will focus on proving triangle congruence, and homework was assigned on related topics.
Congruent Triangles Introduction
Angle Sum Property of Triangles
Distance Formula and Right Triangles
Classifying Triangles
The tutor and student reviewed mass-to-mole and mole-to-gram conversions, then delved into calculating empirical formulas. They practiced converting percentages to moles and determining element ratios, with the student working through examples. The session concluded with the student requesting syllabus information for an AP course.
Avogadro's Number and Molecules
Mass to Mole Conversion
Empirical Formula Determination
Calculating Atoms from Molecules
Teaching tools used by tutor
Practice worksheets
Lesson Planning Tools
Quizzes
Assessment
Math Games
Interactive lessons
Mobile joining
Note taking
Chat for quick help
Open Q&A

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