Nancy .
Experienced tutor helping for grade improvement




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Nancy .
Masters degree
/ 55 min
Specialities of your tutor
Test Strategy
Homework help
Quick Math Games
Mental Math
Math Tricks and Hacks
Exam Simulation
Practice Drills
Problem Solving
AI modules
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Student types for classes
Home schooled
Elementary School students
High School students
Middle School students
Increased confidence in math
Students report feeling more confident tackling difficult problems.
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Mathematics concepts taught by Nancy
The Tutor and Student worked on understanding and graphing trigonometric functions, specifically the sine function. They reviewed angle conversions, calculated sine values using a shortcut method, and explored the concepts of domain and range, ultimately plotting the sine wave from 0 to π.
Graphing Sine and Cosine Functions
Radians vs. Degrees
Trigonometric Identities and Quadrant Analysis
Graphing a Full Sine Wave Cycle
The session covered the effects of substituents on electrophilic aromatic substitution reactions, including activating and deactivating groups, resonance effects, and inductive effects. The Student learned to classify substituents, predict their influence on reaction rates and regiochemistry, and name substituted benzene compounds. Friedel-Crafts alkylation and acylation were also introduced.
Inductive Effect (-I)
Friedel-Crafts Alkylation vs. Acylation
Naming Multi-Substituted Benzenes
Halogens: The Exception
Plus R and Minus R Effects (Resonance)
Electron Donating vs. Electron Withdrawing
Activating and Deactivating Groups
The Student and Tutor reviewed electrophilic aromatic substitution reactions, focusing on the mechanism, the role of activating and deactivating groups, and the directing effects of substituents on benzene rings. They worked through examples from the Student's assignment, including chlorination, nitration, and bromination, and discussed concepts like resonance and hyperconjugation. The next session will involve new assignment questions.
Electrophilic Aromatic Substitution (EAS)
Directing Effects of Substituents
Hyperconjugation
Steric Hindrance
The Student and Tutor reviewed the definitions and properties of even and odd functions using algebraic examples. They then explored the signs of trigonometric ratios in different quadrants and applied trigonometric identities to solve a problem involving finding a trigonometric value given its reciprocal and the quadrant.
Even and Odd Functions
Quadrants and Trigonometric Signs
Fundamental Trigonometric Identities
The tutor and student reviewed fundamental trigonometric ratios, their reciprocals, and methods for calculating values for standard angles. They also covered angle measurement in degrees and radians, graphical representation of angles, and the application of complementary angle identities to solve problems.
Right Triangle Trigonometric Ratios
Values of Trigonometric Ratios for Standard Angles
Radians and Angle Measurement
Trigonometric Identities for Angle Transformations
The tutor and student focused on foundational trigonometry concepts, including the definition of trigonometric functions in right-angled triangles and the calculation of sine, cosine, and tangent ratios. They also practiced identifying triangle sides based on the angle of consideration and briefly reviewed the Pythagorean theorem.
Trigonometry Basics
Trigonometric Ratios
Pythagorean Theorem
Teaching tools used by tutor
Digital whiteboard
Graphing Tools
Visualization & Exploration
Lesson Planner
Lesson Planning Tools
Quizzes
Math Games
Interactive lessons
Note taking
Parent feedback
Mobile joining
Record lessons
Weekend lessons

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