Maths AA-HL 1.15.4 Proof by contradiction

Proof by contradiction – Maths IB AA – HL

Description: 

Introduce your students to the elegant logic of proof by contradiction with this focused 10-slide PowerPoint presentation. Designed specifically for the IB Mathematics: Applications and Interpretation Higher Level syllabus, this resource provides a step-by-step guide to mastering this fundamental proof technique, also known as reductio ad absurdum.

Through clear explanations and illustrative examples—including proofs that logarithms can be irrational and that there are infinitely many prime numbers—students will learn to assume the negation of a statement, derive contradictions, and conclude the validity of the original statement.

Included is a detailed lesson plan to streamline teaching and a worksheet with exam-style questions and answers, offering valuable practice opportunities. Perfect for teachers seeking a curriculum-aligned resource, this presentation simplifies a challenging concept, helping students develop critical thinking and rigorous logical reasoning skills. Elevate your teaching with this essential tool for advanced mathematics!

Content:

• PowerPoint presentation
• Detailed Lesson Plan (pdf)
• Worksheet with Exam style questions and Solutions (pdf)

File size:

• PPTX (210 KB)
• PDF (175 KB)
• PDF (221 KB)

Number of slides:

10 slides

Preview: