Natania Yasuo
Motivational GCSE Math lessons with problem solving
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Natania Yasuo
Bachelors degree
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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
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/ lesson
1 lessons
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/ lesson
Natania - Know your tutor
Hello! I am Natania or Nia for short. I have a background in Biochemical Engineering and I am deeply passionate in learning and helping students understand Math concepts. I have over 3 years of teaching experience, especially with the GCSE curriculum and i specialize in concept learning, grade improvement, practice exams and test preparation. When it comes to my teaching technique, I explain each process step by step and always go at the students' pace. Each session's pace will be determined by you and your needs, so there is absolutely no need to worry about needing to stop and retrace our steps. Whether you need help in completing homework or to prepare for a standardized Math test, I'm here to give you a thorough understanding for all your Mathematical inquiries. Outside teaching, I find enjoyment in reading, playing basketball and watching movies.
GCSE tutor skills
GCSE (UK)
A-Levels (UK)
Homework help
Concepts learning
GCSE prep overview
I am a dedicated and experience Math teacher with over 3 years of expertise in the field of education. I offer Math tutoring sessions for middle school to high school level students, and non-traditional students or returning adults are always welcome. With a passion for mathematics and a commitment to helping my students succeed, I honed my teaching skills to create engaging and effective online lessons. My adaptability and use of digital tools often prove to be a reliable resource for interactive learning. My tutoring sessions are customised to the needs and learning style of the student. I explain concepts which may be difficult to understand and promote asking questions whenever needed. I conclude each lesson by discussing lesson conclusions and ensuring all concepts are thoroughly understood. We can also go over homework and assignments together for test preparation. Let's understand the world of Maths together!
Proven strategies for exam success
90% of students say strategies boosted their confidence.
Support beyond regular classes
Parents appreciate timely help during stressful exam times.
Personalized study plans for success
90% of students feel their plan is tailored to their needs.
GCSE concepts taught by Natania
The student reviewed concepts related to continuity, derivatives, and graphing derivatives in preparation for an exam. The student also worked on finding extreme values from a graph, approximating area under a curve using rectangles with the midpoint rule, and solving a problem involving displacement, velocity, and acceleration. The tutor assigned practice problems related to implicit differentiation.
Graph of Derivatives
Points of Discontinuity
Removable Discontinuities
Definition of Derivatives
Differentiability
Extreme Values
Approximate Area with Rectangles (Midpoint Rule)
Implicit Differentiation
The Student reviewed limits, types of discontinuities, the definition of a derivative, implicit differentiation, and related rates problems with the Tutor. They worked through several problems, focusing on techniques for simplifying expressions and solving for derivatives. The next session is scheduled to focus on other topics the Student may need assistance with.
Limits: Evaluation by Simplification
Discontinuity Types: Removable Discontinuities (Holes)
Definition of the Derivative: Limit Definition
Implicit Differentiation: Product Rule Application
Related Rates: Conical Tank Problem
Displacement
Velocity
and Acceleration
The Student reviewed integral calculus concepts, including u-substitution, integration by parts, Riemann sums, and convergence/divergence tests. The Student practiced applying these techniques to various problems, focusing on identifying appropriate methods and executing them accurately. The session concluded with a review of polar coordinates and a brief discussion of applications of integration, including solids of revolution.
U-Substitution for Integration
Integration by Parts
Converging/Diverging Tests: Ratio Test
Converging/Diverging Tests: Limit Comparison Test
Riemann Sums
Polar Coordinates
Indefinite Integrals with Function Composition
The Student and Tutor reviewed Taylor series expansions and practiced finding the first five terms for given functions. They then transitioned to convergence and divergence tests, focusing on the ratio test and identifying when it's appropriate. The student will review integrals and convergence tests in the next session, followed by numerical integration and polar coordinates in a subsequent session.
Taylor Series Expansion
Simplifying Taylor Series Terms
Ratio Test for Convergence
Simplifying Factorials in the Ratio Test
The session covered optimization, related rates, marginal analysis, and moving averages. The student practiced solving problems related to these topics, including finding minimum surface areas, related rates of change, maximizing profit, and calculating centered moving averages. No specific homework was assigned as the student has an exam soon.
Implicit Differentiation
Related Rates
Optimization with Cylinders
Moving Averages
Marginal Analysis and Profit Maximization
Maximizing Volume with Surface Area Constraint
The session reviewed integration by parts, numerical integration techniques (trapezoidal and midpoint rules), and Taylor polynomials. The student practiced applying these concepts through example problems, including modifications to known Taylor series. The plan is to continue with further practice and review for an upcoming exam, with additional sessions scheduled.
Integration by Parts Simplification
Trapezoidal Rule
Midpoint Rule
Taylor Polynomials and Series Manipulation
Taylor Series for 1/(1-x)
Using Trigonometric Identities with Taylor Series
Learning tools used by GCSE tutor
Practice worksheets
Assessments
Digital whiteboard
Exam oriented GCSE classes
Open Q&A
Mobile joining
Pets are welcomed
Chat for quick help
Note taking
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