Biada Cuarto
Enhance your GCSE math skills with dynamic tutoring from Department of Education educator.
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Biada Cuarto
Masters degree
/ 55 min
Biada - Know your tutor
I am Biada Cuarto, a highly committed and experienced online tutor specializing in GCSE Mathematics, with over eight years of dedicated teaching practice and a Master’s degree that strengthens my academic and pedagogical foundation. Throughout my career, I have focused on helping students not only achieve higher grades but also build a deep and lasting understanding of mathematical concepts. My passion for teaching is reflected in my commitment to providing structured, engaging, and student-centered learning experiences that empower learners to confidently approach even the most challenging topics in Mathematics. My expertise lies in a wide range of instructional areas, including concept development, targeted grade improvement strategies, structured mock examinations, extensive practice testing, and fully customized study plans. I also place strong emphasis on effective test preparation and proven test-taking techniques that equip students with the confidence and skills needed to perform well under exam conditions. By integrating these elements into my teaching, I ensure that learners are not only prepared academically but also mentally ready to excel. One of my key strengths as an educator is my ability to deliver highly personalized learning experiences tailored to the unique needs, learning pace, and academic goals of each student. I recognize that every learner is different, and I take pride in adapting my teaching strategies to accommodate diverse learning styles.
Meet Biada
Biada graduated from Naga College Foundation
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GCSE concepts taught by Biada
The Student and Tutor practiced finding total differentials for various multivariable functions. They also focused on evaluating functions at two points to calculate actual change and then using total differentials to approximate this change, comparing the results. The concepts of propagated and relative errors were briefly introduced, and the next session will delve deeper into these topics and cover concepts from section 13.5.
Calculating Partial Derivatives
Relative and Percentage Error
Propagated Error
Approximating Change using Total Differentials (Δz ≈ dz)
Total Differentials for Multivariable Functions
Evaluating Functions at Specific Points
The session focused on fundamental concepts in mathematics, including comparing decimal numbers using both visual models and numerical comparison techniques. Additionally, the Student learned and practiced rounding decimal numbers and whole numbers to specified place values. For the next session, the Tutor will prepare material on integers, specifically focusing on comparing them using greater than, less than, or equal to symbols.
Comparing Decimals Without Models
Rounding Whole Numbers
Rounding Decimals
Comparing Decimals Using Models
Student and Tutor thoroughly covered approximation techniques using differentiation for both single and multivariable functions. They also discussed the conditions for differentiability of multivariable functions. The Student actively practiced numerous problems, applying these concepts to diverse examples, including a practical volume change scenario, and is scheduled to begin a new topic in the next session.
Approximation by Differentiation (Single Variable)
Approximation by Total Differentials (Multivariable)
Differentiability of Multivariable Functions
Student and Tutor reviewed and practiced calculating increments and differentials for single and multi-variable functions. They applied formulas for partial and total differentials to various algebraic and trigonometric problems, including a real-world application. The session concluded with evaluating and comparing actual changes versus approximate changes using differentials, with plans to continue the topic in the next session.
Real-World Applications of Differentials
Approximating Change (ΔZ) with Total Differentials (dZ)
Mastering Total Differentials (dZ)
Calculating Increments (Δx
Δy
ΔZ)
Understanding Single-Variable Differentials (dy)
The session focused on strengthening the Student's understanding and application of decimal operations. The Student practiced dividing decimals through various examples, including decimal by whole number, decimal by decimal, and whole number by decimal scenarios. Additionally, the class introduced decimal place value, comparing decimals, and rounding rules, with the Student completing exercises on identifying place values. The next session will continue with exercises on comparing and rounding decimals.
Dividing Decimals: Adjusting for Decimal Divisors
Dividing Decimals: Divisor as a Whole Number
Rounding Decimals
Comparing Decimals
Understanding Decimal Place Value
The session focused on various aspects of polynomial functions, starting with matching cubic polynomial functions to their graphs by identifying x-intercepts. The Student and Tutor then extensively practiced polynomial division using long division, synthetic division, and factoring. The session concluded with an introduction to the Remainder Theorem and practice applying it, with a follow-up session scheduled for Wednesday.
Relating Polynomial Division to Graphs of Cubic Polynomials
Dividing Polynomials by Monomials
Polynomial Long Division and Synthetic Division
Remainder Theorem
Factoring as an Alternative for Polynomial Division
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