Operations on complex numbers
• Explore how the new number, i, behaves under certain operations. • Perform operations with complex numbers and draw conclusions about patterns that emerge.
With a new type of number in their world, students can begin exploring the properties of these numbers and how to add, subtract, multiply and divide them using the properties of operations to guide the work. They explore patterns that emerge when $i$ is raised to positive integer powers, and build on this work by investigating similar patterns with other complex numbers.