Prangna Makkar
Interactive AP Calculus BC lessons with problem-solving approach
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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
Common Core State Standards - CCSS (USA)
State-Specific Standards (USA)
Advanced Placement (AP) Program (USA)
A-Levels (UK)
Provincial-specific curriculum (CA)
International Baccalaureate (IB)
Homework help
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 concept taught by Prangna
The Student and Tutor practiced multiplication tables, liquid measurements (liters and milliliters), and identified Canadian and US currency. The Student practiced converting between liters and milliliters and calculating change using different denominations of currency. The homework is for the Student to explain the table of 11 trick to their mother.
Multiplication Tables
Multiplication Trick for Eleven
Money and Canadian Currency
Milliliters and Liters
The Student practiced factorization and simplifying expressions with negative signs. The Tutor explained the concepts of constants, variables, coefficients, terms, expressions, and equations. The session also involved reviewing previous worksheets and identifying areas needing further practice; another worksheet was planned for review in a future session.
Combining Like Terms
Understanding Mathematical Vocabulary
Simplifying Expressions with Negative Signs
Factorization
Distributive Property
Combining Like Terms
Checking for Factors Using the Remainder Theorem
Pascal's Triangle and Binomial Theorem
The Student reviewed the rules of multiplying and dividing variables with exponents. The Student also practiced simplifying expressions by combining like terms after distributing signs and was introduced to factorization by extracting common numerical factors. The Tutor scheduled the next session for Tuesday afternoon.
Distributive Property with Negative Signs
Factoring Out Common Factors
Multiplying Terms with Coefficients and Variables
Combining Like Terms
Dividing Variables with Exponents
Multiplying Variables with Exponents
The Student and Tutor reviewed polynomial multiplication, exponents, additive inverses, multiplicative inverses, and order of operations (PEMDAS). The Student practiced simplifying expressions and identifying additive and multiplicative inverses. Homework was assigned from the student's study guide, focusing on specific problems related to the topics covered in class.
Combining Like Terms
Multiplying Variables with Exponents
Dividing Variables with Exponents
Multiplying Polynomials
PEMDAS Order of Operations
Additive Inverse
Multiplicative Inverse
The Student and Tutor practiced finding all the roots of polynomial equations using the Rational Root Theorem and synthetic division. The student worked through several examples, including polynomials with multiplicities, and received guidance on efficient problem-solving techniques. The next session is scheduled for Sunday to continue working on similar problems.
Rational Root Theorem (Finding Potential Roots)
Synthetic Division
Finding Roots Using Synthetic Division
Solving Quadratic Equations After Synthetic Division
Splitting the Middle Term (Factoring Quadratics)
Multiplicity of Roots
Effective AP classes
Record lessons
Note taking
Pets are welcomed
Chat for quick help
Mobile joining
Practical aids used by AP tutor
Practice worksheets
Digital whiteboard
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