Prangna Makkar
Interactive AP Calculus BC lessons with problem-solving approach
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Prangna Makkar
Bachelors degree
/ 55 min
Prangna - About your AP 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
Prangna graduated from panjab university
AP tutor test prep specialities
Provincial-specific curriculum (CA)
A-Levels (UK)
State-Specific Standards (USA)
Assignment help
Grade improvement
Advanced Placement (AP) Program (USA)
Common Core State Standards - CCSS (USA)
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Teaching methodology
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
AP concepts taught by Prangna
The session focused on advanced calculus topics, including implicit differentiation, second derivatives of implicit functions, and derivatives of inverse functions using both algebraic and table-based methods. The Student practiced applying various derivative rules and formulas, including for the equation of tangent lines. They plan to cover inverse trigonometric derivatives in their next class on Thursday.
Implicit Differentiation
Equation of the Tangent Line (Implicit Functions)
Derivatives of Inverse Functions
Logarithmic Differentiation
The session centered on practicing arithmetic skills, including multi-digit multiplication and multi-step percentage calculations. The Student then engaged in an interactive math game to reinforce number sense and strategic addition. The class ended with a plan to continue learning in the next session.
Multi-Digit Multiplication & Missing Factors
Calculating Percentages of Numbers
Combining Percentage Calculations
Interactive Number Puzzles for Addition
The Student and Tutor conducted a comprehensive final review session for the ACT Math section, working through numerous practice questions. They covered a broad range of topics including algebra, geometry, statistics, probability, and unit conversions. The Tutor advised the Student to continue practicing and to ensure adequate rest before the upcoming exam.
ACT Math Problem-Solving Strategies
Essential Geometry Principles
Probability and Statistics Fundamentals
Algebraic Problem Solving
Ratios
Proportions
and Unit Conversions
The Student and Tutor worked on understanding and solving quadratic equations. They extensively practiced using the quadratic formula for various examples, including cases with missing constant terms and higher-degree polynomials that required initial factorization. They discussed the importance of correctly identifying coefficients and handling negative signs during calculations.
Understanding Quadratic Equations
Identifying Coefficients (a
b
c)
The Quadratic Formula
Step-by-Step Application of the Formula
Factoring Common Terms in Higher Degree Equations
The Tutor and Student engaged in a GMAT Quantitative Reasoning session, focusing on several key mathematical concepts. They covered summation formulas for various number sequences, practiced calculating combined averages, and worked through problems involving ratios and prime factorization. The session concluded with an introduction to probability concepts, specifically "with replacement" and "without replacement." The Student plans to review more ratio and probability questions in a subsequent session after their upcoming final exam.
Sum Formulas for Number Sequences
Combined Averages
Solving Ratio Mixture Problems
Prime Factorization for Perfect Powers
Probability with and Without Replacement
Student and Tutor engaged in a comprehensive mathematics session, focusing on mental arithmetic and problem-solving. They reviewed multiplication, squares, square roots, cubes, and percentages, employing shortcuts and conceptual clarifications. The session culminated in practicing long division with remainders and decimals, and applying these skills to solve word problems.
Mental Multiplication & Number Facts
Squares
Square Roots
& Cubes
Mastering Percentage Calculations
Long Division: Remainders & Decimals
Solving Word Problems
Practical aids used by AP tutor
Practice worksheets
Digital whiteboard
Effective AP classes
Record lessons
Note taking
Chat for quick help
Open Q&A
Weekend lessons
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