Algebraic Manipulation and Equations

Algebraic Manipulation and Equations Description Develop confident algebraic problem-solving skills by simplifying expressions, expanding and factorising brackets, solving equations, and rearranging formulae. Students will apply these techniques to exam-style questions and real-world scenarios. Lesson Breakdown Mastering Algebraic Manipulation Introduce the lesson and connect algebra to GCSE success. The Hidden Code of Reality Explore how algebra is used in science, engineering, business and technology. Learning Objectives Set out the skills students will develop during the lesson. Key Vocabulary Review essential terms such as variable, coefficient, expression and equation. Simplifying and Substituting Collect like terms and substitute numerical values into expressions. Expanding and Factorising Expand single and double brackets, then reverse the process by factorising. Quick Check: Factorising Test understanding of factorising quadratic expressions. Visualising Expansion Use the grid method to organise and check double-bracket expansion. Solving Linear Equations Apply the balance method to isolate the unknown. Practice: Solving with Fractions Solve an equation involving fractions using clear, logical steps. Rearranging Formulae Change the subject of a formula by treating the subject as the unknown. Reasoning with Formulae Rearrange more complex formulae where the subject appears more than once. Consolidating the Basics Match key algebraic vocabulary to its correct definition. Algebra in the Real World Discuss how algebra can model costs, pricing and profit in a mobile phone contract.