Learning goals: Teacher Facing Determine powers of imaginary numbers and represent them on the complex plane. Determine the result of adding complex numbers, and represent it in the form $a+bi$, where $a$ and $b$ are real numbers. Use the complex plane to visualize why the sum of two complex numbers is another complex number. Full lesson plan (warm-up, activities, synthesis, cool-down prompt) from Alg2.3 Complex Numbers and Rational Exponents, Algebra 2.