Title: Imaginary numbers? What do you mean imaginary?
Is it any wonder that students are suspicious? We lead, sometimes drag, them through Algebra I insisting they must follow the order of operations. We make them learn the "hard way" of doing an assignment one day only to show them the "short cut" the next. We give them difficult equations that require what appears to be nothing less than magic to solve. The one reality to which they've managed to cling is what "someone" told them a long time ago. . ."You can't take the square root of a negative number." Just when students are convinced we've been making all of this up all along, we introduce imaginary numbers.
This lesson is designed as a computer lab activity. If you're looking for a more traditional classroom activity, please see this lesson developed by Jerry Weeks: http://alex.state.al.us/lesson_view.php?id=11364
This lesson plan was created by exemplary Alabama Math Teachers through the AMSTI project.
Standard(s): [MA2015] ALT (9-12) 2: Use the relation i2 = -1 and the commutative, associative, and distributive properties to add, subtract, and multiply complex numbers. [N-CN2]
Title: Classifying Complex Numbers
This lesson helps students distinguish between strictly complex numbers, strictly real numbers and strictly imaginary numbers while learning that real numbers and imaginary numbers are subsets of the set of complex numbers.
Standard(s): [MA2015] PRE (9-12) 1: (+) Represent complex numbers on the complex plane in rectangular and polar form (including real and imaginary numbers), and explain why the rectangular and polar forms of a given complex number represent the same number. [N-CN4]