- standard
Use complex numbers in polynomial identities and equations
- 9th - 12th Grade
- Michigan State Math Standards
- Number and Quantity: The Complex Number System
Solve quadratic equations with real coefficients that have complex solutions.
- standard
Represent complex numbers and their operations on the complex plane.
- 9th - 12th Grade
- Michigan State Math Standards
- Number and Quantity: The Complex Number System
(+) Calculate the distance between numbers in the complex plane as the modulus of the difference, and the midpoint of a segment as the average of the numbers a…
- standard
Represent complex numbers and their operations on the complex plane.
- 9th - 12th Grade
- Michigan State Math Standards
- Number and Quantity: The Complex Number System
(+) Represent addition, subtraction, multiplication, and conjugation of complex numbers geometrically on the complex plane; use properties of this representati…
- standard
Represent complex numbers and their operations on the complex plane.
- 9th - 12th Grade
- Michigan State Math Standards
- Number and Quantity: The Complex Number System
(+) Represent complex numbers on the complex plane in rectangular and polar form (including real and imaginary numbers), and explain why the rectangular and po…
- standard
Perform arithmetic operations with complex numbers
- 9th - 12th Grade
- Michigan State Math Standards
- Number and Quantity: The Complex Number System
(+) Find the conjugate of a complex number; use conjugates to find moduli and quotients of complex numbers.
- standard
Perform arithmetic operations with complex numbers
- 9th - 12th Grade
- Michigan State Math Standards
- Number and Quantity: The Complex Number System
Use the relation i^2 = –1 and the commutative, associative, and distributive properties to add, subtract, and multiply complex numbers.
- standard
Perform arithmetic operations with complex numbers
- 9th - 12th Grade
- Michigan State Math Standards
- Number and Quantity: The Complex Number System
Know there is a complex number i such that i^2 = −1, and every complex number has the form a + bi with a and b real.
- standard
Reason quantitatively and use units to solve problems
- 9th - 12th Grade
- Michigan State Math Standards
- Number and Quantity: Quantities
Choose a level of accuracy appropriate to limitations on measurement when reporting quantities.*
- standard
Reason quantitatively and use units to solve problems
- 9th - 12th Grade
- Michigan State Math Standards
- Number and Quantity: Quantities
Define appropriate quantities for the purpose of descriptive modeling.*
- standard
Reason quantitatively and use units to solve problems
- 9th - 12th Grade
- Michigan State Math Standards
- Number and Quantity: Quantities
Use units as a way to understand problems and to guide the solution of multi-step problems; choose and interpret units consistently in formulas; choose and int…
- standard
Use properties of rational and irrational numbers
- 9th - 12th Grade
- Michigan State Math Standards
- Number and Quantity: The Real Number System
Explain why the sum or product of rational numbers is rational; that the sum of a rational number and an irrational number is irrational; and that the product …
- standard
Extend the properties of exponents to rational exponents
- 9th - 12th Grade
- Michigan State Math Standards
- Number and Quantity: The Real Number System
Explain how the definition of the meaning of rational exponents follows from extending the properties of integer exponents to those values, allowing for a nota…
- standard
Safety Law & Ethics
- 9th - 12th Grade
- Michigan Computer Science Standards
- Impacts of Computing
Evaluate the social and economic implications of privacy in the context of safety, law, or ethics.