Maths AI-HL 1.13.4 Operations with complex numbers in Exponential form

Operations with complex numbers in Exponential form – Maths IB AI – HL

🔍 Overview

This comprehensive Maths PowerPoint lesson helps students master operations with complex numbers in exponential (Euler) form, including multiplication, division, powers, and roots. Step-by-step explanations and worked examples make it easy for learners to understand how to manipulate complex numbers efficiently using the relationships between modulus and argument.

Teachers will find clear demonstrations of De Moivre’s theorem and how to calculate n-th roots of complex numbers, all aligned with the IB AI HL syllabus (Topic 1.13.4).

📘 What’s Inside

• Visual breakdowns of how to multiply and divide in exponential form

• Clear step-by-step examples applying De Moivre’s theorem

• Guided exercises on finding roots of complex numbers

• GDC calculator tips for accurate computation

• A worksheet with exam-style questions and fully worked solutions, perfect for class practice or assessments

🎯 Learning Outcomes

By the end of the lesson, students will be able to:

• Perform multiplication, division, powers, and roots of complex numbers in exponential form

• Apply De Moivre’s theorem confidently

• Understand the relationship between exponential, polar, and Cartesian forms

• Use the exponential form to simplify calculations and solve equations involving complex numbers

👩‍🏫 Why Teachers Love It

This ready-to-teach lesson saves valuable preparation time and provides everything needed for a complete class session: PowerPoint presentation, guided notes, and exam-style worksheet with answers. Ideal for IB HL lessons or advanced revision sessions before exams.

Content:

• PowerPoint presentation
• Worksheet
• Answers sheet

File size:

• PPTX (523 KB)
• PDF (226 KB)
• PDF (210 KB)

Number of slides:

10 slides

Preview: