Natania Yasuo
Motivational GCSE Math lessons with problem solving
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Natania Yasuo
Bachelors degree
/ 55 min
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
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Homework help
A-Levels (UK)
GCSE (UK)
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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!
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GCSE concepts taught by Natania
The Student and Tutor engaged in an extensive practice session on integral calculus, working through a variety of problems from a study guide and practice exam. They focused on applying U-substitution to both definite and indefinite integrals, calculating average values of functions, and solving real-world application problems involving rates of change. The session also covered solving for unknown variables within integral contexts and refining calculation accuracy.
Solving for Unknowns in Integral Equations
Average Value of a Function (f_avg)
Graphical Interpretation of Definite Integrals
Applications of Definite Integrals: Net Change and Total Quantity
Integrating Exponential and Reciprocal Functions
Mastering U-Substitution for Integrals
The Student and Tutor reviewed key mathematical concepts in preparation for an upcoming exam. They practiced calculating earnings, including gross pay, overtime, and commissions, and solved linear equations. The session also covered rearranging algebraic formulas and converting between various units, including squared and cubed measurements. They plan to continue with areas and volumes in a future session.
Rearranging Formulas: Making a Variable the Subject
Solving Basic Linear Equations
Earning Money: Gross Pay
Overtime
and Commission
Unit Conversions: Linear
Squared
and Cubed Units
The Student and Tutor engaged in an extensive practice session on integral calculus, solving numerous problems involving definite and indefinite integrals using the u-substitution method. They worked through various function types, practiced changing integration limits, and determined the constant of integration for a marginal cost function. The session concluded with planning the schedule for upcoming classes.
Power Rule Integration with U-Substitution
Integrating Exponential Functions with U-Substitution
Core U-Substitution Technique for Integration
Indefinite Integrals: Finding the Constant of Integration (C)
Advanced U-Substitution: Isolating Remaining Variables
Definite Integrals: Transforming Integration Boundaries
The Student and Tutor practiced various problems on integration by substitution, starting with basic applications and progressing to more complex cases involving algebraic manipulation, exponential functions, and natural logarithms. They concluded the session by applying the substitution method to definite integrals, emphasizing the importance of changing the limits of integration. The next session was scheduled for further practice.
Introduction to u-Substitution
Strategic Choice of 'u' and 'du' Adjustment
Integrating Common Forms After u-Substitution
Handling 'Missing x' Terms in Substitution
Definite Integrals with Boundary Changes
The student and Tutor worked through multiple problems focused on finding the average value of functions using definite integrals. They applied these calculus concepts to various real-world scenarios, including cost, interest, and velocity, and also practiced algebraic manipulation to solve for unknown variables within these problems. The next session is scheduled for tomorrow.
Simplifying Expressions with eˣ and ln(x)
Average Value of a Function (f_avg)
Integration Techniques for Various Function Types
Mean Value Theorem for Integrals (Finding 'c')
Calculating Average Value from Graphs (Area Under Curve)
The Student and Tutor focused on practicing definite integrals, starting with basic calculations and progressing to more complex functions requiring algebraic simplification and the application of logarithmic laws. They applied these concepts to various word problems involving rates of change and total accumulation. The session also introduced the formulas for calculating the average value of a function over an interval and determining minimum/maximum values.
Laws of Natural Logarithms (ln) for Simplification
Real-World Applications of Definite Integrals: Accumulation and Net Change
Average Value of a Function
Properties of Definite Integrals
Algebraic Preparation for Integration
Evaluating Definite Integrals using the Fundamental Theorem
Finding Extrema for Average Value on an Interval
Learning tools used by GCSE tutor
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