Unpacked Content
Knowledge
Students know:
- when a negative number is square rooted on most calculators, the solution gives an error message.
- The square root of -1 is i.
- There is another number system, the complex numbers, that include imaginary numbers. -complex numbers look like 5i+2 or 10i. -i
2=ii= -1-1=-1.
Skills
Students are able to:
- find a square root of a negative number using i.
For example, -25=5i.
Understanding
Students understand:
- how to find the square root of a negative number using i.
- The difference in the real numbers and complex numbers.
Vocabulary
- Imaginary numbers
- Real numbers
- Irrational numbers
- Rational numbers
- Complex numbers
