New York: (+)-N Math Standards

19 standards · 2 domains

NUMBER AND QUANTITY - THE COMPLEX NUMBER SYSTEM

(+)-N.CN.3 Find the conjugate of a complex number; use conjugates to find moduli and quotients of complex numbers.
(+)-N.CN.4a Represent complex numbers on the complex plane in rectangular and polar form (including real and imaginary numbers), and convert between rectangular and polar forms of a given complex number.
(+)-N.CN.4b Determine whether rectangular or polar form is more efficient given the context.
(+)-N.CN.5 Represent addition, subtraction, multiplication, and conjugation of complex numbers geometrically on the complex plane; use properties of this representation for computation.
(+)-N.CN.6a Calculate the distance between two points in the complex plane.
(+)-N.CN.6b Find the midpoint of the segment whose endpoints are in the complex plane.
(+)-N.CN.8 Extend polynomial identities to the complex numbers.
(+)-N.CN.9 State the Fundamental Theorem of Algebra and use it to find roots of polynomials.

(+)-N.VM.1 Represent a vector analytically and geometrically.
(+)-N.VM.2 Find the magnitude and direction of a given vector.
(+)-N.VM.3 Solve problems using vectors analytically and geometrically.
(+)-N.VM.4 Add and subtract vectors analytically and geometrically.
(+)-N.VM.5 Multiply a vector by a scalar analytically and geometrically.
(+)-N.VM.6 Use matrices to represent and model real world situations.
(+)-N.VM.7 Multiply matrices by scalars.
(+)-N.VM.8 Add, subtract, and multiply matrices.
(+)-N.VM.9 Understand that, unlike multiplication of numbers, matrix multiplication for square matrices is not a commutative operation, but still satisfies the associative and distributive properties.
(+)-N.VM.11 Use matrices to perform linear transformations in the plane.
(+)-N.VM.12 Calculate and interpret the determinant of a matrix.