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
Grade improvement
International Baccalaureate (IB)
Homework help
Provincial-specific curriculum (CA)
Common Core State Standards - CCSS (USA)
Test prep
Advanced Placement (AP) Program (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
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15 days Refund
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AP concepts taught by Prangna
The Tutor and Student reviewed directional concepts, including cardinal and intermediate directions, and practiced applying them through turns and hypothetical scenarios. They also worked on division problems and identified US states in a geography context, with plans to continue with more complex direction-based activities.
Cardinal Directions and Intermediate Points
Turns and Rotations in Directions
Basic Arithmetic: Division with Remainder
Binomial Multiplication: The FOIL Method
Multiplying Binomials with Coefficients
Special Case: Squaring a Binomial
The tutor and student reviewed various methods for calculating the area of triangles. This included standard formulas, using trigonometry to find missing dimensions, and applying Heron's formula when all sides are known. The student practiced solving problems using these different approaches, with a plan to focus more on trigonometry due to it being a new topic.
Area of a Triangle (Basic)
Area of an Equilateral Triangle
Heron's Formula
Area using Trigonometry (Two Sides and Included Angle)
The student and tutor reviewed comparison symbols (greater than, less than, equal to) and practiced multiplication facts and multi-digit multiplication. They then applied these concepts to solve comparison problems through various exercises and math games, including a desired 'dolphin game'.
Multiplication Tables Mastery
Basic Arithmetic Operations: Addition
Subtraction
and Multiplication
Comparing Numbers: Greater Than and Less Than
The Tutor and Student reviewed integral calculus, focusing on the u-substitution method with various examples including polynomials, logarithms, trigonometric, and exponential functions. The student practiced applying the method to simplify and solve integration problems, and homework was assigned for further practice.
Integration of Trigonometric Functions
Logarithmic Properties in Integration
U-Substitution Method
Basic Integration Rules
The tutor and student reviewed and applied trigonometric identities, including half-angle and double-angle formulas. They practiced solving problems involving finding trigonometric ratios and simplifying expressions, with plans to continue this practice in future sessions.
Half-Angle Identities
Pythagorean Identity for Finding Cosine/Sine
Tangent Half-Angle Formula
Double Angle Identities
Practical aids used by AP tutor
Practice worksheets
Digital whiteboard
Effective AP classes
Chat for quick help
Note taking
Record lessons
Mobile joining
Parent feedback
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