N-RN.1 Explain the definition of the meaning of rational exponents.
N-RN.2 Rewrite expressions involving radicals and rational exponents using the properties of exponents.
N-RN.3 The sum or product of two rational numbers is rational; that the sum of a rational number and irrational number is irrational; and that the product of a nonzero rational number and an irrational number is irrational.
N-Q.1 Use labels to understand problems; use labels with formulas; choose the appropriate scale in graphs and data displays.
N-Q.2 Define appropriate quantities for the purpose of descriptive modeling.
N-Q.3 Choose a level of accuracy appropriate to limitations on measurement when reporting quantities.
IA.3 (+) Understand, analyze, apply, and evaluate some common voting and analysis methods in addition to majority and plurality, such as runoff, approval, the so-called instant-runoff voting (IRV) method, the Borda method and the Condorcet method.
IA.4 (+) Describe the role of mathematics in information processing, particularly with respect to the Internet.
IA.5 (+) Understand and apply elementary set theory and logic as used in simple Internet searches.
IA.6 (+) Understand and apply basic number theory, including modular arithmetic, for example, as used in keeping information secure through public-key cryptography.
N-CN.1 Know there is a complex number a+bi with a and b real.
N-CN.2 Use the relation i
N-CN.3 Find the conjugate of a complex number; use conjugates to find moduli and quotients of complex numbers.
N-CN.4 Represent complex numbers on the complex plane in rectangular and polar form, and explain why the rectangular and polar forms of a given complex number represent the same number.
N-CN.5 Represent addition, subtraction, multiplication, and conjugation of complex numbers geometrically on the complex plane; use properties of this representation for computation. For example, (-1 + 3i)
N-CN.6 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.
N-CN.7 Solve quadratic equations with real coefficients that have complex solutions.
N-CN.8 Extend polynomial identities to the complex
numbers. For example, rewrite x
N-CN.9 Know the Fundamental Theorem of Algebra; show that it is true for quadratic polynomials.
(N-VM.1) Recognize vector quantities as having both magnitude and direction.
(N-VM.2) Find the components of a vector by subtracting the coordinates of an initial point from the coordinates of a terminal point.
(N-VM.3) Solve problems involving velocity and other quantities that can be solved by vectors.
(N-VM.4) Add and subtract vectors. a. Add vectors end-to-end, component-wise, and by the parallelogram rule. b. Given two vectors in magnitude and direction form, determine the magnitude and direction of their sum. c.
Understand vector subtraction
(N-VM.5) Multiply a vector by a scalar. a. Represent scalar multiplication graphically by scaling vectors and possibly reversing their direction; perform scalar multiplication component-wise. b.
Compute the magnitude of a scalar multiple c
(N-VM.7) Multiply matrices by scalars to produce new matrices.
(N-VM.8) Add, subtract, and multiply matrices of appropriate dimensions.
(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.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.
(N-VM.11) 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.
(N-VM.12) Work with 2x2 matrices as transformations of the plane, and interpret the absolute value of the determinant in terms of area. |

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