Lipika Lipika
Practical AP Precalculus lessons with problem solving focus
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Lipika Lipika
Bachelors degree
/ 55 min
Lipika - About your AP tutor
I completed my Master's degree in Applied Geology. I have been teaching both online and offline for 5+ years, working with students from India and abroad. I was working as an Academic Head for an ed-tech unicorn previously. I teach all science subjects till grade 10 and physics, chemistry & geology till grade 12. I have tutored more than 500 students. I love interacting with students and exposing them to the world of different possibilities. Hence, I take up different curriculum and spread knowledge.
Lipika graduated from The University of Burdwan
AP tutor test prep specialities
State-Specific Standards (USA)
International Baccalaureate (IB)
AP Scoring Insights
Provincial-specific curriculum (CA)
Practice Exams
Common Core State Standards - CCSS (USA)
Homework help
Assignment help
Next Generation Science Standards - NGSS (USA)
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Teaching methodology
I prefer teaching on a blank page because I feel there is a scope to take students to a world of possibilities from blank to a vast diversity of knowledge. I use a simple blank page and use different colors for the demarcation of different things. Usually, the structure of the class includes recalling the topics of the previous class, introducing a new topic, solving problems from the topic, and ending the class after completing the topic with a summary of the class. I try correlating everything to the realistic world, and it helps students to understand the topic better. The practical use of the topics is very important, and I try to provide a glimpse of the use of the topic of discussion in practical life as well. I also help my students with their assignments, homework, and test preparation. I always take regular feedback from my students and parents and also give my feedback on the students performance, so that the tutoring sessions are effective for the learner.
Lipika - also teaches
AP Chemistry
AP Environmental Science
AP Physics 1
AP Physics 2
AP Precalculus
AP Physics C: Mechanics
AP concepts taught by Lipika
Calculating Genotype Frequencies from Allele Frequencies
Identifying Evolutionary Forces
Hardy-Weinberg Equilibrium Principle
Allele Frequency vs. Genotype Frequency
The Student and Tutor reviewed the Third Law of Thermodynamics, including its implications for entropy, absolute zero, and crystalline structures. They discussed practical applications like magnetic cooling and vapor compression, and the tutor provided resources for further study before the upcoming exam.
Vapor Compression Refrigeration Cycle
Magnetic Cooling (Adiabatic Demagnetization)
Relationship Between Heat Capacity and Entropy
Entropy and Microstates (Boltzmann's Equation)
Third Law of Thermodynamics
The student and tutor reviewed biological taxonomy, including the hierarchical classification system and the three domains of life. They practiced interpreting cladograms to understand evolutionary relationships between organisms based on shared traits, and reinforced the concept of binomial nomenclature. The tutor plans to share additional resources on taxonomy and cladistics.
Taxonomic Hierarchy
Binomial Nomenclature
Cladograms and Phylogeny
Domains and Kingdoms
The student and tutor reviewed stoichiometry, focusing on percentage composition, empirical formulas, and molecular formulas. They practiced solving problems related to these concepts and concluded with a percentage yield problem. The next session is scheduled for Sunday at 10:00 AM to continue reviewing chemistry topics.
Percent Composition
Empirical Formula
Molecular Formula
Percentage Yield
The Student and Tutor reviewed critical parameters in thermodynamics and delved into classical phase space, including Liouville's Theorem. They then explored quantum mechanical concepts such as the de Broglie wavelength and Maxwell-Boltzmann statistics for ideal gases, deriving key formulas and discussing particle behavior. The session concluded with an introduction to Fermi-Dirac and Bose-Einstein statistics, with plans to send further notes for review.
Classical Phase Space
Liouville's Theorem
De Broglie Wavelength
Maxwell-Boltzmann Distribution
Quantum Mechanical Ideal Gases
The class focused on population genetics, specifically the Hardy-Weinberg equilibrium principle. The student practiced applying the Hardy-Weinberg equations to calculate allele and genotype frequencies through several example problems. The tutor will revisit this topic and related questions in the next session, and the student was advised to review the concepts in their textbook.
Hardy-Weinberg Equilibrium Principle
Calculating Allele and Genotype Frequencies
Conditions for Hardy-Weinberg Equilibrium
Interpreting Deviations from Equilibrium
Practical aids used by AP tutor
Digital whiteboard
AP Assessments
Study Planner
Practice worksheets
AP Practice worksheets
Effective AP classes
Parent feedback
Mobile joining
Note taking
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