Math - 2018-19
AII.2 - Complex Numbers
AII.2 The student will perform operations on complex numbers and express the results in simplest form using patterns of the powers of i.
- I can express the
laws of electricity and work as an electrical engineer to design electromagnetic
fields and electronic circuits.
- I will be
able to solve quadratic equations, use the quadratic formula for all cases even
when the discriminant is a negative number, and simplify even roots of negative
UNDERSTANDING THE STANDARD
· A complex number multiplied by its conjugate is a real number.
· Equations having no real number solutions may have solutions in the set of complex numbers.
· Algebraic properties apply to complex numbers as well as real numbers.· All complex numbers can be written in the form a + bi where a and b are real numbers and i is the imaginary unit that satisfies the equation (e.g.,
The student will use problem solving, mathematical communication, mathematical reasoning, connections, and representations to
that the square root of –1 is represented as i.
powers of i.
radical expressions containing negative rational numbers and express in a + bi form
subtract, and multiply complex numbers.
numbers, powers, i, field properties,
square root, simplify, radical expressions, a + bi, hierarchy of subsets, complex, pure imaginary, real, rational, irrational, integers, whole,
and natural numbers