Prangna Makkar
Interactive AP Calculus BC lessons with problem-solving approach
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Prangna Makkar
Bachelors degree
Enroll after the free trial
Each lesson is 55 min
50 lessons
20% off
/ lesson
30 lessons
15% off
/ lesson
20 lessons
10% off
/ lesson
10 lessons
5% off
/ lesson
5 lessons
-
/ lesson
1 lessons
-
/ lesson
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
State-Specific Standards (USA)
Test prep
Grade improvement
Provincial-specific curriculum (CA)
A-Levels (UK)
International Baccalaureate (IB)
Common Core State Standards - CCSS (USA)
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
Flexible Scheduling
Allows 1h early scheduling
Allows 1h early rescheduling
Can wait for 20 mins after joining
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10 day Refund
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AP concepts taught by Prangna
The student and tutor reviewed trigonometric identities and practiced solving trigonometric equations. They focused on using quadrant rules and a systematic approach to derive angles, moving beyond direct reliance on the unit circle. The next session will continue with advanced trigonometric equation solving techniques.
Unit Circle Fundamentals
Quadrantal Angles and Reference Angles
Reciprocal Trigonometric Identities
Solving Trigonometric Equations with Algebraic Manipulation
The student and tutor reviewed polynomial factorization and solving polynomial equations. They practiced identifying roots from graphs, using synthetic division, and determining real and imaginary zeros. The session involved solving various practice problems covering these algebraic concepts.
Factored Form of Polynomials
Leading Coefficient and Polynomial Graphs
Synthetic Division for Polynomial Factoring
Real vs. Imaginary Zeros
The session covered transformations of functions, focusing on horizontal and vertical shifts. The student practiced identifying these shifts by comparing transformed graphs to their parent functions. The tutor assigned further practice for the next session to solidify the concepts.
Parent Functions
Horizontal Shifts
Vertical Shifts
Combined Transformations
The student and tutor worked through a challenging trigonometry problem involving the simplification of fractional expressions with sine and cosine. They practiced techniques like finding common denominators, applying algebraic identities, and using fundamental trigonometric identities to reach a simplified form. The tutor noted the importance of careful attention to detail, especially with negative signs.
Fraction Simplification with Trigonometric Functions
Trigonometric Identities
Manipulation of Signs in Expressions
Understanding Reciprocal Trigonometric Functions
The Tutor and Student worked through problems involving algebraic and trigonometric expression simplification, including the application of identities. They also reviewed polynomial properties and division methods, with the Student practicing synthetic division and the Tutor explaining long division concepts.
Combining Algebraic Fractions
Trigonometric Identities: Secant and Tangent
Polynomial End Behavior
Synthetic Division and Remainder Theorem
The tutor and student reviewed the concept of quadrants in trigonometry and the "After School To College" mnemonic for determining the signs of trigonometric ratios. They practiced identifying angles on the unit circle and calculating intermediate angle values using specific strategies, with plans to continue practice in a future session due to the student feeling unwell.
The Unit Circle
Quadrants and Trigonometric Signs (ASTC Rule)
Special Angles on the Unit Circle
Practical aids used by AP tutor
Practice worksheets
Digital whiteboard
Effective AP classes
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Pets are welcomed
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Open Q&A
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