This resource is meticulously designed to support students transitioning from GCSE (9-1) to AS/A Level Mathematics. It serves as a comprehensive guide for students to use independently, featuring detailed examples, explanations, and practice questions on essential topics. Additionally, the workbook includes recommended readings to further prepare students for their A-Level studies. Workbook Structure: • Induction Workbook.docx: The main document that outlines the transition guide, providing a robust set of algebra questions and other key topics to reinforce foundational skills necessary for A-Level Mathematics. • Lesson Folders: Each lesson folder contains specific topics and exercises aimed at bridging the gap from GCSE to A-Level Mathematics. Lessons Breakdown: Lesson 1: • Focus on reinforcing basic algebraic techniques and ensuring students are fluent in manipulating algebraic expressions and equations. • Includes exercises on simplifying expressions, solving equations, and understanding algebraic fractions. Lesson 2: • Builds on algebraic skills with a focus on more complex algebraic fractions and quadratic expressions. • Exercises include factorisation, completing the square, and solving simultaneous equations involving quadratics. Lesson 3: • Introduction to advanced algebraic techniques and functions. • Students practice manipulating and solving equations involving fractional and negative powers, as well as working with surds. Lesson 4: Pythagoras and Trigonometry: • This lesson covers essential trigonometric concepts and equations. • Exercises focus on solving trigonometric equations, understanding the unit circle, and applying trigonometric identities. Lesson 5: Equation of a Line: • A thorough exploration of linear equations and their graphs. • Students learn to convert between different forms of linear equations and practice sketching graphs to understand the relationship between algebraic equations and their graphical representations. Lesson 6: Sketching Graphs: • Focuses on developing students’ skills in sketching and interpreting graphs of various functions. • Includes exercises on quadratic, cubic, and higher-degree polynomials, as well as hyperbolas and other important functions.