Natania Yasuo
Motivational GCSE Math lessons with problem solving
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Private tutor - Natania Yasuo
Bachelors degree
/ 30 min
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!
GCSE tutor skills
Homework help
GCSE (UK)
A-Levels (UK)
Concepts learning
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.
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.
Learning tools used by GCSE tutor
Digital whiteboard
Practice worksheets
Assessments

GCSE concept taught by Natania
The Student and Tutor reviewed hypothesis testing in regression analysis, including t-tests and F-tests. The Student practiced calculations using Excel to determine the significance of relationships between variables. Confidence and prediction intervals were introduced, and the Student will continue practicing these concepts in the next session.
Standard Error of the Estimate
Prediction Interval for Regression
Confidence Interval for Regression
F-Test for Regression
T-Test for Regression
The Tutor introduced linear regression, the least squares method, and measures of fit (SST, SSR, SSE, R-squared). The Student practiced calculating slope, y-intercept, and R-squared both manually and using Excel. They also introduced t-tests and F-tests, planning to work through practice problems in the next session.
Linear Regression Equation
T-Test for Linear Regression
F-Test and ANOVA Table
Least Squares Method
Coefficient of Determination (R²)
Sums of Squares (SST
SSR
SSE)
The session covered convergence and divergence tests for infinite series, including the alternating series test, P-series test, ratio test, and limit comparison test. The student practiced applying these tests to various example problems. No specific homework was assigned, but the student was encouraged to review the different tests and their conditions.
Manipulating Series Terms
Combining Convergence Tests
Limit Comparison Test
Ratio Test
P-Series Test
Alternating Series Test
The Student and Tutor practiced hypothesis testing, determining p-values, and using both critical value and confidence interval approaches. The Student worked through problems to determine whether to reject or fail to reject the null hypothesis based on given data. They will continue practicing these concepts in future sessions.
Confidence Intervals for Hypothesis Testing
P-Value Interpretation
Hypothesis Testing: Null and Alternative Hypotheses
T-Tests vs. Z-Tests
Critical Values and Rejection Regions
Hypothesis Testing for Proportions
The Student and Tutor practiced using the ratio test to determine the convergence or divergence of various series. They reviewed simplification techniques for expressions involving factorials and exponents and discussed strategies for evaluating limits as n approaches infinity. The next sessions will continue practice with convergence and divergence tests, and scheduling was arranged for the upcoming holiday week.
Dealing with Limits at Infinity
Ratio Test for Convergence and Divergence
Simplifying Factorials
Manipulating Exponents
The student and tutor reviewed Taylor and Maclaurin series, including standard expansions and the Cauchy product. The student practiced finding Taylor series for functions using substitution and trigonometric identities. The session concluded with a discussion of potentially scheduling extra sessions to cover missed material.
Taylor and Maclaurin Series
Common Series Expansions
Series Manipulation: Substitution
Power Series Operations and Identities
Cauchy Product
Applying Cauchy Product
Exam oriented GCSE classes
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Pets are welcomed

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