Full lesson	Create for a teacher a set of content for giving a lesson, beginning with the lesson plan. Each new block of materials must begin with an H1 heading (other subheaders must be H2, H3, etc). When you describe required pictures, write those descriptions in curly brackets, for example: {A picture of a triangle}
Which subject	Mathematics
What topic	Complex numbers
What length (min)	30
What age group	Year or Grade 11
Class size	20
What curriculum
Include full script
Check previous homework
Ask some students to presents their homework
Add a physical break
Add group activities
Include homework
Show correct answers
Prepare slide templates
Number of slides	5
Create fill-in cards for students
Create creative backup tasks for unexpected moments

Lesson plan

Lesson Plan: Complex Numbers

Topic

Complex Numbers

Objectives

• Understand the definition and properties of complex numbers.
• Perform basic operations (addition, subtraction, multiplication, and division) with complex numbers.
• Represent complex numbers on the complex plane.
• Solve basic problems involving complex numbers.

Materials

• Whiteboard and markers
• Graph paper for sketching complex numbers
• Handouts with exercises and examples
• Calculator (optional)

Grade/Age Group

Year 11 (Ages 15-16)

Subject

Mathematics

Class Size

20 students

National Curriculum Alignment

This lesson aligns with the New Zealand Mathematics Curriculum, particularly in the areas of Number and Algebra.

Lesson Structure

Step Number	Step Title	Length	Details
1	Introduction	5 mins	Introduce complex numbers. Discuss what they are and why they are useful. Provide examples.
2	Definition and Components	5 mins	Explain the standard form of a complex number (a + bi), where a and b are real numbers. Identify real and imaginary parts.
3	Operations with Complex Numbers	10 mins	Cover addition, subtraction, multiplication, and division of complex numbers. Provide example calculations on the whiteboard.
4	Representation on the Complex Plane	5 mins	Show how to plot complex numbers on the complex plane. Discuss the x-axis (real part) and y-axis (imaginary part)
5	Guided Practice	3 mins	Distribute handouts with practice problems. Walk around to support students as they work.
6	Independent Practice	2 mins	Give students time to begin their homework; inform them that it will be collected at the end of the lesson.
7	Wrap-Up	5 mins	Review key concepts. Answer any lingering questions. Provide an outline of what to expect in the next lesson.

Homework

• Complete the practice problems provided in the handout.
• Submit homework at the beginning of the next lesson without any oral presentations.

Additional Notes

• Ensure to check-in with students during guided practice to ensure engagement and understanding.
• Collect the homework at the end of the session without requiring student presentations to encourage a low-stress environment.

Assessment

• Informal assessment through observation during guided practice.
• Review completed homework for understanding of complex number operations and representation.

Reflection

Post-lesson reflections should focus on student engagement and understanding of complex numbers, as well as the effectiveness of instructional strategies used.

Lesson script