In this lesson, students bring together what they have learned so far about complex numbers and arithmetic operations on them. The main activity is an Information Gap where students must ask for the information they need to find the real and imaginary parts of complex numbers that have been multiplied, requiring them to use precise language as they work with their partner (MP6).
- Determine what information is needed to find the complex numbers that were multiplied to get a certain result, and ask questions to elicit that information.
Let's use what we've learned about multiplying complex numbers.
In the Information Gap activity, prepare the third pair of cards to use if time allows for an additional more challenging problem.
- I can find real and imaginary parts of complex numbers if I know enough about the numbers and their product.
A number in the complex plane. It can be written as \(a + bi\), where \(a\) and \(b\) are real numbers and \(i^2 = \text-1\).
A number on the imaginary number line. It can be written as \(bi\), where \(b\) is a real number and \(i^2 = \text-1\).
A number on the number line.