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
Grade improvement
Assignment help
Common Core State Standards - CCSS (USA)
A-Levels (UK)
International Baccalaureate (IB)
Test prep
Provincial-specific curriculum (CA)
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 multiplication skills, covering multiplication tables, mental math tricks, squares, cubes, and multi-digit multiplication. The student practiced various types of multiplication problems and learned strategies for efficient calculation. The tutor assigned similar multiplication problems as homework for further practice.
Multiplication Tables
Multiplication with Zeros
Trick for Multiplying by 11
Order of Operations in Multiplication Chains
Understanding Squares
Introduction to Cubes
Long Multiplication
Even and Odd Number of Negatives
Fractions of a Whole
Adding Positive and Negative Numbers
Pairs of Negatives
Basic Rules of Multiplication with Positive and Negative Numbers
The student practiced multiplication skills, including multi-digit multiplication and recalling multiplication tables. Word problems were used to illustrate the application of multiplication in practical scenarios such as shopping and distance calculations. The session included practice converting minutes to hours and minutes, reinforcing the relationship between different mathematical operations.
Converting Minutes to Hours and Minutes
Word Problems: Applying Math to Real-Life Scenarios
Using Known Multiplication Facts to Derive Others
Practical Application of Multiplication
Problem Solving with Multiplication and Addition
Multiplication Strategies for Larger Numbers
The session covered related rates, derivative rules including chain rule with trigonometric functions, and absolute extrema. The Student worked on practice problems, including finding derivatives and applying the first and second derivative tests to find maximum and minimum values of functions. The Tutor assigned no specific homework, but suggested the Student continues practicing similar problems in preparation for upcoming exams.
Absolute Extrema
Inverse Functions and Derivatives
Tangent Lines and Graph Interpretation
Differentiation with Respect to Time
Related Rates
Chain Rule with Trigonometric Functions
The Student practiced finding the areas of composite shapes by decomposing them into rectangles and triangles. The session involved several exercises where the Student had to determine missing side lengths by subtracting known values. The Tutor planned to revisit the topic in the next session for continued practice.
Composite Shapes: Area Calculation
Finding Unknown Lengths by Subtraction
Area of a Triangle
Area of a Square
Area of a Rectangle
The student practiced simplifying rational expressions, including factoring quadratics and identifying when functions are undefined. They worked through problems from a worksheet, focusing on factorization techniques and cancellation of terms. The student was reminded to divide by the leading coefficient when factoring quadratics where 'a' is not 1.
Combining Factoring Techniques
Simplifying Rational Expressions
Factoring Quadratic Expressions
Factoring Differences of Squares
Undefined Functions: Denominators Equal to Zero
Dividing Fractions with Variables
Dividing with Exponents
Practical aids used by AP tutor
Digital whiteboard
Practice worksheets
Effective AP classes
Record lessons
Pets are welcomed
Note taking
Mobile joining
Open Q&A
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