Curriculum placement
Algebra 2. This describes the skill, not a learner estimate.
Calculating with complex numbers
Calculate with complex numbers and solve quadratics over them
Problem types
- Multiply complex numbers
- Quadratics with nonreal solutions
- Parts of a complex number and its powers
- Solve a quadratic with nonreal solutions and a leading coefficient other than 1
- Simplify a sum of imaginary powers with variable coefficients
Builds on
- The quadratic formula
- Which number systems stay closed · Earlier idea
Real numbers are not closed under the square root, and the complex numbers extend them so that every number has one.
- Telling rationals from irrationals · Earlier idea
Adding irrational numbers to the rationals gives the real numbers, and complex numbers extend them again to solve x squared = -1.
Leads to
Related skills
- How many times a line meets a curve · Shared foundations
Open the interactive map to explore lessons and skill connections.