Survey

* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project

Survey

Document related concepts

Eisenstein's criterion wikipedia , lookup

Elementary algebra wikipedia , lookup

Quartic function wikipedia , lookup

Cubic function wikipedia , lookup

History of algebra wikipedia , lookup

Quadratic form wikipedia , lookup

System of polynomial equations wikipedia , lookup

Factorization wikipedia , lookup

Exponentiation wikipedia , lookup

Transcript

Name: _____________________________________________________________________ Per: __________ Unit 7 – Complex Numbers Use this sheet to record a summary of each lesson and as a log of homework assignments that you’ve completed. Homework will be collected at random throughout the unit! Date(s) Learning Target 1. I can simplify the square root of a negative value using the imaginary number i 1 . 2. I can find the complex solutions to a quadratic equation with real coefficients by completing the square. 3. I can find the complex solutions to a quadratic equation with real coefficients by using the quadratic formula. 4. I can distinguish between the solutions to a quadratic equation and the roots (x-intercepts) of its related functions. 5. I can apply the Fundamental Theorem of Algebra to describe the number of complex roots for various equations. 6. I can write a quadratic function in factored form using complex numbers. 7. I can write a quadratic function in standard form given its complex roots and an additional point. Summary Assignment 8. I can describe the set of complex numbers and its relation to the real and imaginary numbers. 9. I can represent complex numbers as points in the complex plane. 10. I can determine the modulus and conjugate of a complex number. 11. I can add and subtract complex numbers. 12. I can represent the addition, subtraction, and conjugation of complex numbers geometrically on the complex plane. 13. I can multiply complex numbers and simplify the product. 14. I can use the concept of a conjugate to divide complex numbers. Writing equations given complex roots (weekly assignment)