## Mi Math Standards

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### H

#### HSN-RN.B.3

Explain why the sum or product of two rational numbers is rational; that the sum of a rational number and an irrational number is irrational; and that the product of a nonzero rational number and an irrational number is irrational.

09, 10, 11, 12

#### HSN-VM.A.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).

09, 10, 11, 12

#### HSN-VM.A.2

(+) Find the components of a vector by subtracting the coordinates of an initial point from the coordinates of a terminal point.

09, 10, 11, 12

#### HSN-VM.A.3

(+) Solve problems involving velocity and other quantities that can be represented by vectors.

09, 10, 11, 12

09, 10, 11, 12

#### HSN-VM.B.4a

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.

09, 10, 11, 12

#### HSN-VM.B.4b

Given two vectors in magnitude and direction form, determine the magnitude and direction of their sum.

09, 10, 11, 12

#### HSN-VM.B.4c

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.

09, 10, 11, 12

#### HSN-VM.B.5

(+) Multiply a vector by a scalar.

09, 10, 11, 12

#### HSN-VM.B.5a

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).