GCSE Maths Study Groups Curriculum

Our GCSE Maths classes comprehensively cover the exam syllabus, with a strong emphasis on building essential skills, applying knowledge, and excelling in exams. Below is a detailed breakdown of the curriculum:

Number and Algebra

Core Numerical Skills and Foundations

• Number Operations and Calculations
• Fractions, decimals, and percentages.
• Ratios, proportions, and problem-solving strategies.
• Standard form and surds.
• Algebra Basics
• Simplifying expressions and solving equations.
• Substitution and formula manipulation.
• Understanding inequalities and sequences.

Advanced Algebra

• Quadratic Equations and Graphs
• Solving quadratics by factorization, completing the square, and the quadratic formula.
• Graphing quadratic, cubic, and exponential functions.
• Understanding gradients and intercepts.
• Simultaneous Equations and Graphical Solutions
• Solving algebraic and graphical simultaneous equations.
• Applications to real-world problems.
• Exam Skills
• Practising multi-step algebra questions.
• Interpreting and solving complex problems efficiently.

Geometry and Measure

Geometrical Basics and Applications

• Angles and Shapes
• Properties of triangles, quadrilaterals, and polygons.
• Understanding congruence and similarity.
• Perimeter, Area, and Volume
• Calculating for various 2D and 3D shapes, including compound shapes.
• Problem-solving in real-world contexts.

Advanced Geometry and Trigonometry

• Pythagoras and Trigonometry
• Applying Pythagoras' theorem and basic trigonometric ratios.
• Advanced trigonometry: sine, cosine, and tangent rules.
• Circles and Transformations
• Understanding circle theorems and their applications.
• Exploring transformations: translations, rotations, reflections, and enlargements.
• Vectors and Proof
• Working with column vectors and their applications.
• Understanding and constructing mathematical proofs.

Statistics and Probability

Data Handling

• Interpreting Data
• Reading and interpreting tables, charts, and graphs.
• Constructing and analysing histograms, cumulative frequency, and box plots.
• Averages and Measures of Spread
• Calculating mean, median, mode, and range.
• Understanding the interquartile range and standard deviation.

Probability

• Probability Basics
• Calculating probabilities from experiments and theoretical models.
• Using tree diagrams, Venn diagrams, and probability tables.
• Advanced Probability
• Understanding conditional probability and set notation.
• Applying probability concepts to solve multi-step problems.

Comprehensive Exam Preparation

• Mock Exams and Feedback
• Timed practice papers with in-depth teacher feedback.
• Targeted Revision Workshops
• Addressing weak areas and challenging topics identified in assessments.
• Problem-Solving Skills
• Tackling real-world application questions and multi-step problems.
• Individual Progress Reviews
• One-on-one guidance to refine exam techniques and build confidence.

Additional Features

• Access to E-Learning Platform
• Interactive quizzes, progress tracking, and step-by-step solutions for key problems.
• Digital resources, including topic guides and exam-style practice questions.
• Homework and Assignments
• Weekly exercises to reinforce learning and build exam readiness.
• Small Group Format
• A maximum of 5 students ensures tailored guidance and focused support.

This curriculum equips students with a solid understanding of core mathematical principles and the confidence to excel in their GCSE exams.