Service Description

IGCSE Further / Additional Maths (age 13-15) Y9 & 10 Phase 1 This course is designed for high-achieving students aiming to master advanced mathematical concepts beyond the standard IGCSE curriculum. It is ideal for those considering A-Level Mathematics, Further Mathematics, or subjects like Physics, Engineering, or Economics. Covering algebra, calculus, trigonometry, and applied mathematics, the course emphasizes problem-solving, mathematical reasoning, and exam techniques. Lessons combine theoretical explanations with interactive problem-solving and exam-style questions. Weekly homework reinforces learning, with detailed feedback highlighting strengths and areas for improvement. Parents receive regular progress updates. This 20-lesson program (Phase 1: 10 lessons, Phase 2: 10 lessons) systematically develops mathematical proficiency to prepare students for IGCSE exams. Course Outline Algebra & Functions Lesson 1: Algebraic Manipulation & Surds – Simplify algebraic expressions, surds, and indices. Lesson 2: Quadratic Equations & Inequalities – Solve using factorization, quadratic formula, and completing the square. Lesson 3: Simultaneous Equations – Solve linear and quadratic equations algebraically/graphically. Lesson 4: Functions & Graph Transformations – Understand function notation, inverse functions, and transformations. Coordinate Geometry & Trigonometry Lesson 5: Straight Line Graphs & Circles – Work with equations of lines, midpoints, perpendicular bisectors, and circles. Lesson 6: Trigonometric Ratios & Identities – Apply sine, cosine, and tangent rules; use trigonometric identities. Lesson 7: Trigonometric Graphs & Equations – Sketch trigonometric graphs and solve equations using identities. Calculus Lesson 8: Differentiation I – Differentiate polynomials; find and classify stationary points. Lesson 9: Differentiation II – Apply chain rule, product rule, and quotient rule to solve related rate problems. Lesson 10: Integration I – Integrate polynomials and solve area under curve problems. Assessment & Feedback Weekly Homework – Marked with detailed feedback. End-of-Module Quizzes – Short topic-based assessments. Mock Exam in Lesson 20 – Final exam under timed conditions. Progress Reports – Updates on strengths and areas for improvement. By the end of the course, students will be well-prepared for IGCSE Further Mathematics and Additional Mathematics exams with strong problem-solving skills and a solid grasp of advanced concepts.