This math unit progresses from basic to advanced concepts involving complex numbers. Initially, students focus on rewriting and simplifying complex numbers, starting with square roots containing negative radicands. They practice expressing these roots in terms of complex numbers and simplifying radicals. As the unit advances, students engage with operations on the complex plane, such as subtraction and division of complex numbers, specifically focusing on imaginary parts. To deepen understanding, they also simplify and evaluate powers of the imaginary unit, \(i\). Later, the unit moves toward geometric interpretations and transformations of complex numbers, including calculating absolute values and converting between polar and rectangular forms in both radians and degrees. They apply trigonometric functions and Euler’s formula, essential for converting complex numbers' exponential form into rectangular form. These cumulative skills build a comprehensive understanding of complex number manipulation, encompassing algebraic operations and geometric interpretations.
Skills you will learn include:
At Mobius we have lots of great (and free) resources to help you learn math. To keep kids engaged, there’s nothing better than a math-powered video game! Try out a Mobius game mapped to Complex Numbers.
Topic 17