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Contenido principal

Number and Quantity: The Complex Number System

570 preguntas21 habilidades

HSN-CN.A.1

90 preguntas3 habilidades
Know there is a complex number i such that i2 = –1, and every complex number has the form a + bi with a and b real.

HSN-CN.A.2

120 preguntas4 habilidades
Use the relation i2 = –1 and the commutative, associative, and distributive properties to add, subtract, and multiply complex numbers.

HSN-CN.A.3

60 preguntas2 habilidades
Find the conjugate of a complex number; use conjugates to find moduli and quotients of complex numbers.

HSN-CN.B.4

145 preguntas6 habilidades
Represent complex numbers on the complex plane in rectangular and polar form (including real and imaginary numbers), and explain why the rectangular and polar forms of a given complex number represent the same number.

HSN-CN.B.5

110 preguntas4 habilidades
Represent addition, subtraction, multiplication, and conjugation of complex numbers geometrically on the complex plane; use properties of this representation for computation.

HSN-CN.B.6

60 preguntas2 habilidades
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 at its endpoints.

HSN-CN.C.7

30 preguntas1 habilidad
Solve quadratic equations with real coefficients that have complex solutions.

HSN-CN.C.8

15 preguntas1 habilidad
Extend polynomial identities to the complex numbers.
Know the Fundamental Theorem of Algebra; show that it is true for quadratic polynomials.
 Pronto habrá nuevas habilidades para este estándar.