At Greenhill Academics, our team of dedicated tutors offer you specialised private tutoring for GCSE and IGCSE Maths. We offer tutoring for every part of the maths curricula and we teach students of every level.
GCSE Maths Tutor
Private tuition has been show to have a positive impact on attainment, particularly on maths (Institute of Education, University of London).
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What will your GCSE Maths Tutor teach you?
Number
| Topic | How we will achieve this |
|---|---|
| Integers, Decimals, and Fractions | Ensure students know how to order positive and negative integers, decimals, and fractions |
| Addition, Subtraction, Multiplication, and Division | Use of all four operations (addition, subtraction, multiplication, and division) with integers, decimals, and fractions |
| Inverse Operations | Cover relationships between operations, including how to solve inverse addition, inverse multiplication with large or small numbers |
| Prime Numbers, Factors, and Multiples | Use of prime numbers, factors, and multiples |
Geometry and Measures
| Topic | How we will achieve this |
|---|---|
| Geometry Concepts | Teach fundamental geometry concepts and constructions, including angles, triangles, quadrilaterals, and circles |
| Congruent and Similar Shapes | Ensure students can work with congruent and similar shapes, including using transformations |
| Trigonometry | Introduce trigonometry, including basic trigonometric ratios and their applications in right-angled triangles |
| Geometric Problem-Solving | Learn essential problem-solving skills in geometric contexts, including interpreting plans, elevations, and graphs of 3D shapes |
Algebra
| Topic | How we will achieve this |
|---|---|
| Algebratic Manipulation | Teach algebraic manipulation, including how to use appropriate notation and interpreting expressions |
| Formulas and Expressions | How to substitute numerical values into formulas and expressions |
| Simplifying and Manipulating Algebraic Expressions | How to simplify expressions, including collecting like terms, expanding products, and factorising quadratic expressions |
| Graphing and Plotting Equations | Working with coordinates, plotting graphs of equations, and solving equations and inequalities algebratically and graphically |
Ratio, Proportion, and Rates of Change
| Topic | How we will achieve this |
|---|---|
| Conversion and Expressions | Teach conversion between units, scale factors, and ratio notation and ensure students learn how to express quantities as fractions and use ratios to solve real-world problems |
| Proportional Relationships | Cover proportional relationships, including understanding proportionality and solving problems involving direct and inverse proportion |
| Percentages | Introduce percentage calculations, including percentage change and simple interest |
| Ratios, Proportion, and Rates of Change | Learn essential problem-solving skills using ratio, proportion, and rates of change in various contexts |
Probability
| Topic | How we will achieve this |
|---|---|
| Probability Experiments | Learning how to analyse outcomes of probability experiments, randomness, fairness, and equally likely events |
| Theoretical Probability | How to understand theoretical probability and its relation to relative expected frequencies |
| Calculating Probabilities | Introduce methods for calculating probabilities of combined events, including tree diagrams and conditional probabilities |
| Probability Concepts | Focus on constructing theoretical possibility spaces and applying probability concepts to solve real-world problems |
Statistics
| Topic | How we will achieve this |
|---|---|
| Interpretations of Data | Teach inference from samples to populations and interpretation of various data representations |
| Graphical Data: Scatter Graphs and Correlation | Ensure students can construct and interpret tables, charts, and diagrams for different types of data and introduce scatter graphs and correlation, emphasizing the interpretation of trends and making predictions |
| Measures of Central Tendency and Spread | Cover measures of central tendency and spread, including median, mean, mode, range, quartiles, and interquartile range |
| Data Analysis and Statistical Methodology | Develop critical thinking skills when analyzing and comparing data sets and understanding the limitations of statistical methods |
Why wait? Begin your Mathematics journey with Greenhill Academics today!
At Greenhill, we have been providing trusted tuition for over 4 years, with the best UK-based online private tutors for both international and domestic students. We are dedicated to providing excellent tuition services to help you reach the moon. Don’t just take our word for it, read up on what our students say…
Contact us today and begin your journey!