Analytic Number Theory
Real Numbers
N-RN.3: Explain why the sum or product of two rational numbers is rational; that the sum of a rational number and an irrational number is irrational; and that the product of a nonzero rational number and an irrational number is irrational.
The Complex Number System
N-CN.1: 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.
N-CN.2: Use the relation i^2 = -1 and the commutative, associative, and distributive properties to add, subtract, and multiply complex numbers.
N-CN.7: Solve quadratic equations with real coefficients that have complex solutions.
N-CN.9: Know the Fundamental Theorem of Algebra; show that it is true for quadratic polynomials.
Vocabulary
Polynomial, Complex Numbers/Expressions, Imaginary Numbers/Expressions, Real Numbers/Expressions, Rational Numbers/Expressions,
N-RN.3: Explain why the sum or product of two rational numbers is rational; that the sum of a rational number and an irrational number is irrational; and that the product of a nonzero rational number and an irrational number is irrational.
The Complex Number System
N-CN.1: 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.
N-CN.2: Use the relation i^2 = -1 and the commutative, associative, and distributive properties to add, subtract, and multiply complex numbers.
N-CN.7: Solve quadratic equations with real coefficients that have complex solutions.
N-CN.9: Know the Fundamental Theorem of Algebra; show that it is true for quadratic polynomials.
Vocabulary
Polynomial, Complex Numbers/Expressions, Imaginary Numbers/Expressions, Real Numbers/Expressions, Rational Numbers/Expressions,