MA19.8A.3

Mathematics (2019) Grade(s): 8 - Grade 8 Accelerated

MA19.8A.3
Define the imaginary number $i$ such that $i^2 = -1$. [Algebra I with Probability, 3]

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. -i2=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

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