Learning Standards
Number Sense and Operations
for Grades 11-12
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Understand numbers, ways of representing numbers, relationships among numbers, and number systems
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Understand meanings of operations and how they relate to one another
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Compute fluently and make reasonable estimates |
Learning Standards
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.
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| 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(cosθ + isinθ)) and DeMoivre's theorem to multiply, take roots, and raise numbers to a power.
- Plot complex numbers using both rectangular and polar coordinate systems.
Selected Problems or Classroom Activities
[ MCAS || NCTM || Other Sources || Interactive || View/Print All]
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