Common Core · High school
HSN-CN.A.3
High school — Find the conjugate of a complex number; use conjugates to find moduli and quotients of complex numbers.
A note on this mapping: HSN-CN.A.3 is a (+) standard — beyond the college- and career-ready threshold, i.e. precalculus rather than Algebra II.
The skill that covers it
What a student should be able to do
- Write the square root of a negative number in terms of i, and simplify a power of i.
- Add, subtract and multiply complex numbers, and write the result in the form a + bi.
- Divide complex numbers by multiplying by the conjugate of the denominator.
- Solve a quadratic equation with a negative discriminant and write its complex solutions.