Prangna Makkar
Mathematics Tutor Specializing in Algebra, Calculus, and Exam Coaching
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Prangna Makkar
Bachelors degree
/ 55 min
Prangna - Know your tutor
Mathematics is not everyone cup of coffee and I consider myself to be blessed as I have been teaching this particular subject to students from the last 11-12years. In general, students also Students hesitate in doing this particular subject. Taking about my qualification, I have done Bachelors in Non-medical and masters in mathematics from a renowned university. I have great interest in science, especially mathematics as it is all about dealing with numbers. Professionally I have taught in a college as an Associate professor and currently working as a freelancer tutor, helping students in making them understand different concepts of mathematics, clearing their doubts. So far, I am making all the possible efforts to increase students inclination towards mathematics. Lets embark on this learning journey together and unleash math potential in you.
Prangna graduated from panjab university
Specialities of your tutor
Practice Drills
Test prep
GCSE (UK)
Test prep strategies
International Baccalaureate (IB)
Practice Tests
New Zealand Curriculum - NZC (NZ)
Provincial-specific curriculum (CA)
Math Tricks and Hacks
Problem Solving
Advanced Placement (AP) Program (USA)
Grade improvement
CoTutorAI modules
Summary
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Learnings
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Zero Risk Guaranteed
15-days refund
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1-yr validity
24/7 support
Student types for classes
ASD
ADHD
Elementary School students
Anxiety or Stress Disorders
College students
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Home schooled
Middle School students
Class overview
Mathematics is not a theoretical subject, so sometimes I make use of power point presentations and videos to explain a particular concept. As I believe visuals have more impactful, and this aid in better understanding than listening. Moreover, I plan my sessions keeping in mind a student's requirements and targets. Some students require more practise and more attention towards certain topics, so sessions are planned according to their pace. My priority is to have an interactive session in which a student asks multiple questions , clears one’s doubts . This ensures that pupil is able to understand in a better way. Also, I make sure that a student gets proper attention and is willing to learn more. My main teaching methodology is to increase students inclination towards this subject and remove their fear of mathematics. Apart from this, I am also helping students in completing their assignments and homework. They are able to complete their work assessments within the given time period
Prangna also teaches
ACT Math
Algebra
Algebra 2
AP Calculus AB
AP Precalculus
Arithmetic
Mathematics concepts taught by Prangna
The Student and Tutor reviewed several ACT Math problems that the Student had previously gotten wrong. Topics covered included algebraic expressions, trigonometric identities, properties of isosceles triangles, the difference between LCM and GCD, conditions for undefined algebraic expressions, trigonometric graph analysis (amplitude and period), and the behavior of slopes. They scheduled the next session for Wednesday to continue practicing and address remaining questions.
Undefined Algebraic Expressions
Graphing Trigonometric Functions: Amplitude & Period
Least Common Multiple (LCM)
Properties of Isosceles Triangles
Trigonometric Sum Identities
Algebraic Expressions for Cost Calculation
The Student and Tutor reviewed GMAT quantitative concepts, including translating "at least" and "at most" into inequalities, solving fractional inequalities, and finding minimum/maximum values in integer problems. They also practiced efficient methods for absolute value inequalities and converting word problems into mathematical expressions. For homework, the Student will find 10 difficult questions for discussion in the next session.
Understanding Inequality Symbols from Word Problems
Solving Fractional Inequalities
Absolute Value Inequalities (Solving Strategies)
Integer Properties in Minimum/Maximum Problems
The Student and Tutor engaged in a mathematics session focused on mental math, percentage calculations, and word problems involving both percentages and fractions. The Student demonstrated strong problem-solving abilities and was encouraged to continue practicing these concepts. No specific homework was assigned, but the general expectation was continued engagement with mathematical problem-solving.
Key Percentage-Fraction Equivalents
Real-World Percentage Word Problems
Fraction-Based Word Problems
Effective Multi-Step Problem Solving
Rapid Mental Math Drills
The Student and Tutor reviewed various types of inequalities, including basic linear, compound, and systems of inequalities. They practiced solving problems, focusing on the critical rule of reversing the inequality sign when multiplying or dividing by a negative number, and efficiently testing solutions for complex absolute value inequalities. The Student was encouraged to practice additional inequality problems for homework.
Introduction to Inequalities
Solving Linear Inequalities
Compound Inequalities
Solving Systems of Inequalities using Elimination
Strategic Problem Solving: Plugging in Values
The Student and Tutor addressed a wide range of Calculus concepts, primarily focusing on limits, derivatives, and their applications. They practiced evaluating various types of limits, calculating average and instantaneous rates of change, and deriving equations for tangent lines. The session also covered different forms of derivative definitions, and they planned to continue reviewing remaining topics in an upcoming session.
Identifying `f(x)` and `a` from Derivative Limit Form
Average Rate of Change (ARC) & Slope of Secant Line
Instantaneous Rate of Change (IRC) & Slope of Tangent Line (Derivative)
Limits at Infinity with Exponential Functions (eˣ)
Natural Logarithm (ln x) Limits at Zero
Absolute Value Limits
The Student and Tutor engaged in an AP Calculus session to prepare for an upcoming test covering limit laws, continuous functions, IVT theorem, asymptotes, Taylor form, and derivatives. They extensively practiced calculating derivatives from first principles using the limit definition, working through examples such as `x`, `x^2`, `1/x^2`, and `1/√x`. The plan was to continue with a review worksheet once technical arrangements were finalized.
Applying the Limit Definition to Basic Polynomials (x and x²)
Applying the Limit Definition to Rational Functions (1/x²)
Applying the Limit Definition to Radical Functions (1/√x)
The Limit Definition of the Derivative
Teaching tools used by tutor
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Digital whiteboard
Solvers & Calculators
Interactive lessons
Record lessons
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