Mathematics Curriculum Framework
Number Sense and Operations
for Grades 11-12
|Understand numbers, ways of representing numbers, relationships among numbers, and number systems|
|Understand meanings of operations and how they relate to one another|
|Compute fluently and make reasonable estimates|
Students engage in problem solving, communicating, reasoning, connecting, and representing as they:
|12.N.1||Define complex numbers (e.g., a + bi) and operations on them, in particular, addition, subtraction, multiplication, and division. Relate the system of complex numbers to the systems of real and rational numbers. |
|12.N.2||Simplify numerical expressions with powers and roots, including fractional and negative exponents.|
Exploratory Concepts and Skills
for Grades 11-12 and Single-Subject Courses
- Investigate special topics in number theory, e.g., the use of prime numbers in cryptography.
- Use polar-coordinate representations of complex numbers (i.e., a + bi = r(cos? + isin?)) and DeMoivre's theorem to multiply, take roots, and raise numbers to a power.
- Plot complex numbers using both rectangular and polar coordinate systems.