Browse Standards
View all PreK-12 NYS Learning Standards in a dropdown list format.
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Standard Area - TECH: Learning Standards for Technology
(see MST standards under Previous Standard Versions)-
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Standard - N-VM.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).Standard - N-VM.2:
Find the components of a vector by subtracting the coordinates of an initial point from the coordinates of a terminal point.Standard - N-VM.3:
Solve problems involving velocity and other quantities that can be represented by vectors.-
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Component - N-VM.4.a:
Add vectors end-to-end, component-wise, and by the parallelogram rule. Understand that the magnitude of a sum of two vectors is typically not the sum of the magnitudes. -
Component - N-VM.4.b:
Given two vectors in magnitude and direction form, determine the magnitude and direction of their sum. -
Component - N-VM.4.c:
Understand vector subtraction v - w as v + (-w), where -w is the additive inverse of w, with the same magnitude as w and pointing in the opposite direction. Represent vector subtraction graphically by connecting the tips in the appropriate order, and perform vector subtraction component-wise.
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Component - N-VM.5.a:
Represent scalar multiplication graphically by scaling vectors and possibly reversing their direction; perform scalar multiplication component-wise, e.g., as c(vx, vy) = (cvx, cvy). -
Component - N-VM.5.b:
Compute the magnitude of a scalar multiple cv using ||cv|| = |c|v. Compute the direction of cv knowing that when |c|v ≠ 0, the direction of cv is either along v (for c > 0) or against v (for c < 0).
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Standard - N-VM.6:
Use matrices to represent and manipulate data, e.g., to represent payoffs or incidence relationships in a network.Standard - N-VM.7:
Multiply matrices by scalars to produce new matrices, e.g., as when all of the payoffs in a game are doubled.Standard - N-VM.8:
Add, subtract, and multiply matrices of appropriate dimensions.Standard - 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.Standard - 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.Standard - 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.Standard - N-VM.12:
Work with 2 * 2 matrices as transformations of the plane, and interpret the absolute value of the determinant in terms of area.
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