a. Represent scalar multiplication graphically by scaling vectors and possibly reversing their direction; perform scalar multiplication component-wise, e.g., as . b. Compute the magnitude of a scalar multiple cv using . Compute the direction of knowing that when , the direction of is either along (for ) or against v (for ). Also MAFS.912.N-VM.1.1 Assesses MAFS.912.N-VM.1.2 MAFS.912.N-VM.1.3 Item Types Selected Response (Multiple Choice), Gridded Response, Short Answer Cognitive Low Complexity Level Benchmark Students will solve problems with algebraic representation of vectors including scalar Clarification multiplication. Students will have a firm grasp of the geometric representations of vectors including the effects of multiplying both positive and negative scalars. Content Scalars will be rational numbers only. Limits Stimulus Items may be set in either real world or mathematical context. Attributes Items may use component vector form, unit vector form, or column vector form when representing the components of vectors. Response Responses may include pictures. Attributes Answers may be written in component vector form, unit vector form, or column vector form. Sample 1. If v = -10i + 5j, what is ? Items Correct Answer: 2. If v = what is ? A. B. C. D.
a. Represent scalar multiplication graphically by scaling vectors and possibly reversing their direction; perform scalar multiplication component-wise, e.g., as . b. Compute the magnitude of a scalar multiple cv using . Compute the direction of knowing that when , the direction of is either along (for ) or against v (for ). Also Assesses MAFS.912.N-VM.1.1 MAFS.912.N-VM.1.2 MAFS.912.N-VM.1.3 Item Types Selected Response (Multiple Choice), Gridded Response, Short Answer Cognitive Complexity Level Low Benchmark Clarification Students will solve problems with algebraic representation of vectors including scalar multiplication. Students will have a firm grasp of the geometric representations of vectors including the effects of multiplying both positive and negative scalars. Content Limits Scalars will be rational numbers only. Stimulus Attributes Items may be set in either real world or mathematical context. Items may use component vector form, unit vector form, or column vector form when representing the components of vectors. Response Attributes Responses may include pictures. Answers may be written in component vector form, unit vector form, or column vector form. Sample Items 1. If v = -10i + 5j, what is ? Correct Answer: 2. If v = what is ? A. B. C. D.