Arkansas flagArkansas: HSN Math Standards

16 standards · 4 domains

HSN.CN

  • HSN.CN.A.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.
  • HSN.CN.A.2 Use the relation i^2 = –1 and the commutative, associative, and distributive properties to add, subtract, and multiply complex numbers.
  • HSN.CN.A.3 Find the conjugate of a complex number. Use conjugates to find quotients of complex numbers.
  • HSN.CN.C.7 Solve quadratic equations with real coefficients that have real or complex solutions.
  • HSN.CN.C.8 (+) Extend polynomial identities to the complex numbers. For example: Rewrite x^2 + 4 as (x + 2i)(x - 2i).
  • HSN.CN.C.9 (+) Know the Fundamental Theorem of Algebra; (+) Show that it is true for quadratic polynomials.

HSN.Q

  • HSN.Q.A.2 Define appropriate quantities for the purpose of descriptive modeling. (I.E., Use units appropriate to the problem being solved.)

HSN.RN

  • HSN.RN.A.1 Explain how extending the properties of integer exponents to rational exponents provides an alternative notation for radicals. For example: We define 5^(4/3) to be the cube root of 5^4 because we want (5^(4/3))^(3/4) = 5 to hold.
  • HSN.RN.A.2 Rewrite expressions involving radicals and rational exponents using the properties of exponents.
  • HSN.RN.B.4 Simplify radical expressions. Perform operations (add, subtract, multiply, and divide) with radical expressions. Rationalize denominators and/or numerators

HSN.VM

  • HSN.VM.C.6 (+) Use matrices to represent and manipulate data (e.g., to represent payoffs or incidence relationships in a network).
  • HSN.VM.C.7 (+) Multiply matrices by scalars to produce new matrices (e.g., as when all of the payoffs in a game are doubled).
  • HSN.VM.C.8 (+) Add, subtract, and multiply matrices of appropriate dimensions.
  • HSN.VM.C.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.
  • HSN.VM.C.10 Understand that: (+) The zero and identity matrices play a role in matrix addition and multiplication similar to the role of 0 and 1 in the real numbers. (+)The determinant of a square matrix is nonzero if and only if the matrix has a multiplicative inverse.
  • HSN.VM.C.12 (+) Work with 2 × 2 matrices as transformations of the plane, and interpret the absolute value of the determinant in terms of area.