Give your students a solid, confident understanding of Complex Numbers with this structured, classroom-ready practice workbook. This resource covers all essential operations and representations across 12 skill-based chapters: addition & subtraction, multiplication, division & rationalization, conjugates, modulus & argument, polar form, exponential form, powers using De Moivre, roots, geometric interpretations, and algebraic equations over ℂ. Each section includes fully worked examples followed by guided practice, helping students bridge the gap between concept and mastery.

This can be used for direct instruction, guided notes, homework, independent practice, tutoring, intervention, and exam preparation. It is also ideal for Precalculus, Algebra 2, IB / A-Level complex numbers units, and College Algebra refresher modules.

What’s Included

• 12 structured chapters progressing by skill and difficulty
  
• Clear definitions & concept explanations
  
• Step-by-step solved exercises for modeling
  
• Ample student practice problems in each chapter
  
• Problems targeting both procedural fluency and conceptual understanding
  

Skills Covered

• Complex number operations (add / subtract / multiply / divide)
  
• Rationalizing denominators
  
• Modulus & argument
  
• Polar / exponential form conversions
  
• De Moivre’s Theorem for powers
  
• nth roots of complex numbers
  
• Algebraic equations in ℂ
  
• Geometric meaning & transformations
  

This resource reduces cognitive overload, boosts mathematical confidence, and gives teachers an easy, ready-to-assign complex numbers practice set with no prep required.

Perfect for substitute plans, test prep, skill remediation, or extending gifted students in upper high school.