Prangna Makkar
Interactive AP Calculus BC lessons with problem-solving approach
Private tutor - Prangna Makkar
Bachelors degree
/ 30 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
Homework help
Advanced Placement (AP) Program (USA)
A-Levels (UK)
Assignment help
Test prep
Grade improvement
State-Specific Standards (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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AP concept taught by Prangna
Prangna worked with Susanna on solving absolute value equations. Susanna practiced setting up and solving two equations for each absolute value problem, and they also covered special cases where no solution exists. They worked through several examples from Susanna's worksheet.
Absolute Value Function
No Solution Cases for Absolute Value
Solving Absolute Value Equations
Prangna tutored Aaron on solving quadratic equations using splitting the middle term, the quadratic formula, and completing the square. Aaron practiced problems using each method, with a focus on a shortcut for splitting the middle term and handling fractions in completing the square. Prangna recommended that Aaron obtain difficult questions from his professor for review in a future session.
Quadratic Formula
Completing the Square
Splitting the Middle Term (Factorization)
Quadratic Equation
Prangna and Shalaka focused on number representation during their math lesson. Shalaka practiced writing numbers in word and expanded forms, ordering them from smallest to largest, and identifying errors in number representation. They also worked on solving word problems involving number comparison and reviewed strategies for approaching difficult questions and avoiding common mistakes.
Expanded Form
Place Value
Ordering Numbers
Word Problems
Prangna and Shalaka engaged in a mathematics lesson focused on number lines, progressing from fundamental concepts to the more complex task of placing two- and three-digit numbers on lines with diverse intervals. Shalaka actively practiced identifying numbers within specific intervals and placing them accurately, even incorporating a dice game for interactive learning. Prangna will be assigning homework to reinforce Shalaka's understanding of number lines.
Arrows on a Number Line
Numbers Between Intervals
Number Line
Prangna worked with Aaron on calculus concepts, including average rate of change, difference quotients, and graph analysis. Aaron practiced problems related to these topics from a worksheet. Prangna assigned checking the answers to question 14 and mentioned that they would continue with word problems and graph transformations in the next session.
Average Rate of Change
Difference Quotient
Domain and Range
Graph Intercepts
Increasing/Decreasing Intervals
Prangna and Shalaka delved into essential arithmetic topics, including place values, expanded form, and solving various word problems involving addition, subtraction, and multiplication. Shalaka gained practice in identifying missing terms and proficiently converting numbers between expanded and standard forms. As homework for their next lesson, Prangna asked Shalaka to memorize the table of 3.
Place Value
Expanded Form
Word Problems (Subtraction)
Word Problems (Addition)
Multiplication by 10
100
1000
Effective AP classes
Open Q&A
Pets are welcomed
Parent feedback
Chat for quick help
Weekend lessons
Practical aids used by AP tutor
Digital whiteboard
Practice worksheets
Free lesson slots
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