Arkansas flagArkansas: NQ Math Standards

10 standards · 2 domains

NQ.1

  • NQ.1.PC.1 Find the conjugate of a complex number. Use conjugates to find quotients of complex numbers. (+)Use conjugates to find moduli.
  • NQ.1.PC.2 (+) Represent complex numbers on the complex plane in rectangular and polar form (including real and imaginary numbers). (+) Explain why the rectangular and polar forms of a given complex number represent the same number.
  • NQ.1.PC.3 (+) Represent addition, subtraction, multiplication, and conjugation of complex numbers geometrically on the complex plane; (+) Use properties of geometrical representation for computation. For example: (-1 + i√3)^3 = 8 because (-1 + √3 i) has modulus 2 and argument 120°.
  • NQ.1.PC.4 (+) 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.

NQ.2

  • NQ.2.PC.1 (+) Recognize vector quantities as having both magnitude and direction. (+) Represent vector quantities by directed line segments, and use appropriate symbols for vectors and their magnitudes (e.g., v, |v|, ||v||, v).
  • NQ.2.PC.2 (+) Find the components of a vector by subtracting the coordinates of an initial point from the coordinates of a terminal point.
  • NQ.2.PC.3 Solve problems involving velocity and other quantities that can be represented by vectors.
  • NQ.2.PC.4 (+) Add and subtract vectors.
  • NQ.2.PC.5 (+) Multiply a vector by a scalar.
  • NQ.2.PC.6 (+) Multiply a vector (regarded as a matrix with one column) by a matrix of suitable dimensions to produce another vector. (+) Work with matrices as transformations of vectors.