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
Homework help
A-Levels (UK)
Common Core State Standards - CCSS (USA)
Advanced Placement (AP) Program (USA)
State-Specific Standards (USA)
International Baccalaureate (IB)
Grade improvement
CoTutorAI modules
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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 tutor and student reviewed mathematical concepts including the order of operations using the 'Mom, Dad and Sister' mnemonic, and practiced calculating squares and cubes. They also worked on geometry problems involving perimeter and area, and the student successfully applied formulas for squares and rectangles. The next session will involve the tutor creating a story-based math problem for the student.
Order of Operations (PEMDAS/BODMAS)
Squares and Cubes
Area and Perimeter of Geometric Shapes
Decimal Multiplication
The student and tutor worked on creating color-based patterns and assigning percentages, then transitioned to solving algebraic equations involving single variables. They also practiced arithmetic operations through puzzles and concluded with subtraction problems and a collaborative puzzle-creation activity, with homework assigned on multiplication and subtraction.
Pattern Creation and Rule Definition
Color Proportions and Percentages
Algebraic Equation Solving
Puzzle Solving with Number Patterns
The Tutor and Student reviewed various concepts in vector algebra, including vector addition, subtraction, scalar multiplication, dot products, and finding angles between vectors. They also practiced calculating areas of triangles using vector methods and applied trigonometric laws like the Law of Sines and Heron's formula for triangle properties. The session concluded with an introduction to parametric equations in projectile motion and polar coordinates.
Vector Operations: Addition
Subtraction
and Scalar Multiplication
Dot Product and Perpendicular Vectors
Finding the Angle Between Two Vectors
Polar Coordinates Conversion
Solving Triangles: Law of Sines and Cosines
The Tutor and Student reviewed the domain and range of sine functions, including how to calculate them for modified functions. They also explored concepts related to graphing trigonometric functions, such as midline, amplitude, period, and phase shift. The next session will cover polar equations and any remaining topics.
Domain and Range of Trigonometric Functions
Amplitude
Midline
and Period of Trigonometric Graphs
Evaluating Trigonometric Functions at Specific Values
Phase Shift of Trigonometric Functions
The Student and Tutor reviewed and practiced solving various trigonometric equations, including those involving identities, quadratic forms, and general solutions. They worked through problems that required finding values in specific quadrants and applying general solution formats. The session concluded with practice on trigonometric inequalities and a discussion on preparing for upcoming exams.
Trigonometric Identities
Solving Trigonometric Equations
General Solutions for Sine and Cosine
Trigonometric Equations with Quadratic Form
Fundamental Trigonometric Identities
Algebraic Manipulation in Trigonometry
Sum and Difference Formulas
Transforming Trigonometric Expressions
Practical aids used by AP tutor
Practice worksheets
Digital whiteboard
Effective AP classes
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Pets are welcomed
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Weekend lessons
Note taking
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