Urvashi Verma
Interactive High School Math Lessons: Learn with an M.Sc. & B.Ed. Certified Pro Teacher
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Urvashi Verma
Masters degree
/ 55 min
Urvashi - Know your tutor
As an educator holding an M.Sc. and a B.Ed., alongside four years of dedicated classroom teaching experience, my approach to high school mathematics is deeply rooted in making abstract concepts engaging. I firmly believe that mastering math goes far beyond simply memorizing formulas or grinding through repetitive exercises. Instead, it is about cultivating a sharp, analytical mindset and developing practical problem-solving skills that students can apply across various academic disciplines. My teaching style is inherently interactive, student-centered, and tailored to the unique learning pace of each individual. To bring algebraic equations, trigonometry, and geometric principles to life, I leverage dynamic digital tools like Miro. These platforms allow us to visually map out multi-step problems in real-time, transforming intimidating and dense topics into clear, manageable visual frameworks. By creating a collaborative virtual learning environment, I ensure that my students are actively participating and engaging with the material rather than just passively listening. I maintain a flexible methodology. I strive to foster a supportive, pressure-free atmosphere where questions are always welcomed and mistakes are actively treated as vital stepping stones toward mastery. Whether a student is struggling with the transition to high school algebra or tackling advanced topics, I adjust my techniques to meet them exactly where they are. My goal is to bridge the gap between foundational concepts and advanced high school mathematics, helping students overcome their math anxiety. I aim to instill lasting confidence, encourage critical thinking, and empower every student to achieve their absolute highest potential.
Urvashi graduated from PUNJABI UNIVERSITY PATIALA
Specialities of your tutor
Math Tricks and Hacks
Practice Drills
New Zealand Curriculum - NZC (NZ)
Practice Tests
Next Generation Science Standards - NGSS (USA)
State-Specific Standards (USA)
Test prep strategies
Quick Math Games
Australian Curriculum (AU)
Exam Simulation
Mental Math
Test Strategy
CoTutorAI modules
Summary
Podcast
Quiz
Learnings
Flashcard
Spotlight
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1-yr validity
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Student types for classes
ASD
High School students
ADHD
Elementary School students
Anxiety or Stress Disorders
Home schooled
Middle School students
Urvashi also teaches
Algebra
Algebra 2
Arithmetic
Elementary School Math
High School Math
Linear Algebra
Mathematics concepts taught by Urvashi
The Student and Tutor reviewed key concepts in thermochemistry, including definitions of endothermic and exothermic reactions, enthalpy change calculations, and methods for representing these changes. They discussed the energy involved in bond breaking and formation, as well as examples of each type of reaction. The session aimed to prepare the Student for an upcoming test.
Thermochemistry Fundamentals
Enthalpy (ΔH) & Its Calculation
Exothermic vs. Endothermic Reactions
Bond Energy and Reaction Enthalpy
Representing Enthalpy Changes
Molar Enthalpy Change
Student and Tutor reviewed key concepts of Uniform Circular Motion, including angular displacement, angular velocity, and centripetal force and acceleration. They practiced applying these concepts through various real-world examples, such as a car on a banked road and a car in a vertical loop. The session also covered Newton's Laws in the context of circular motion and the calculation of work done.
Uniform Circular Motion (UCM) Fundamentals
Centripetal Force and Acceleration
Work Done and Energy Conservation in UCM
Identifying Centripetal Force in Real-World Scenarios
The Tutor introduced the Student to Year 2 Physics, focusing on circular motion concepts including centripetal force, angular displacement, and angular speed. They covered definitions, units, and the conversion between radians and degrees, deriving key formulas. The Student is expected to send their formula sheet, and the next session will involve algebra-based problems and vertical circular motion.
Centripetal Force & Circular Motion Fundamentals
Relating Linear Speed (v) to Angular Speed (ω)
Angular Speed
Time Period (T)
and Frequency (f)
Angular Speed (ω)
Angular Displacement (θ) and Radians
The Student and Tutor reviewed concepts of relative motion, including scenarios with moving frames of reference, and then moved on to projectile motion. They practiced solving problems involving boats crossing rivers and projectiles launched at angles and horizontally, including calculating velocity components, time of flight, and range. The next lessons were scheduled for Wednesday and Saturday evenings to cover remaining topics before the Student's upcoming exams.
Projectile Motion (Horizontal Launch)
Significant Figures and Units
Projectile Motion (Angled Launch)
Relative Velocity
The Student reviewed notes on the photoelectric effect, atomic spectra, and wave-particle duality with the Tutor. They explored electron diffraction experiments, the De Broglie wavelength, and the principles of laser production, specifically stimulated emission. The Tutor planned to continue the discussion on laser systems in the next session.
Photoelectric Effect
Atomic Excitation and Ionization
Wave-Particle Duality of Matter (de Broglie Hypothesis)
LASER (Light Amplification by Stimulated Emission of Radiation)
The Tutor and Student reviewed the photoelectric effect, focusing on graphical representations of intensity, potential, and frequency versus photoelectric current. They also discussed atomic absorption and emission spectra, linking them to energy level transitions and associated photon energies, and planned to cover wave-particle duality in the next session.
Photoelectric Effect: Intensity vs. Frequency
Stopping Potential and Work Function
Atomic Spectra: Absorption vs. Emission
Electromagnetic Spectrum and Wave Properties
Teaching tools used by tutor
Lesson Planner
Solvers & Calculators
Visualization & Exploration
Math Games
Digital whiteboard
Graphing Tools
Practice worksheets
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