1.49 Harder Algebraic Bound Calculations Higher IGCSE PowerPoint Lesson

In this 22-slide lesson, pupils will deepen their understanding of bounds by applying calculations to more complex algebraic expressions. This builds on prior knowledge of upper and lower bounds, focusing on multi-step calculations involving powers, fractions, and multiple variables. Pupils will learn how to strategically substitute the correct combination of upper and lower bounds to find the maximum or minimum possible value of an expression, depending on its structure. These challenging problems mirror IGCSE-style questions and are also ideal for stretching higher ability students. The lesson promotes both numeric and algebraic reasoning, attention to precision, and clear justification of bound-based decisions.

This lesson is for the higher tier only.

• Lesson on working out upper and lower bounds is available under the foundation number lessons.

• Lesson on numeric bound calculations is available under the higher number lessons.

The lesson includes:

• Clear, guided examples

• Discussion opportunities from Think, Pair, Share

• Mini whiteboard section to check understanding and clarify misconceptions

• Two structured tasks to practise key skills

• Challenge activity to extend and deepen learning

Perfect for engaging learners while reinforcing essential numeracy and algebra concepts.