View Standards
**Standard(s): **
[MA2015] PRE (9-12) 8 :

8 ) (+) Add and subtract vectors. [N-VM4]

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. [N-VM4a]

b. (+) Given two vectors in magnitude and direction form, determine the magnitude and direction of their sum. [N-VM4b]

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. [N-VM4c]

This learning activity will be used during a lesson on Adding and Subtracting Vectors. Students will explore how to add vectors end-to-end, component-wise, and by the parallelogram rule, determine the direction of their sum, represent vector subtraction graphically by connecting the tips in the appropriate order, and perform vector subtraction component-wise. The teacher will use the Adding and Subtracting Vectors Lesson to cover the “I DO” and “We Do” portions of the lesson.

*This activity was created as a result of the ALEX Resource Development Summit.*

8 ) (+) Add and subtract vectors. [N-VM4]

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. [N-VM4a]

b. (+) Given two vectors in magnitude and direction form, determine the magnitude and direction of their sum. [N-VM4b]

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. [N-VM4c]

This learning activity will be used to introduce adding and subtracting vectors and is intended as an introduction or engagement activity. The students will watch the Adding and Subtracting Vectors video to learn how to add and subtract vectors. This activity will lead to learning how to add vectors end-to-end, component-wise, and by the parallelogram rule, determine the direction of their sum, represent vector subtraction graphically by connecting the tips in the appropriate order, and perform vector subtraction component-wise.

*This activity was created as a result of the ALEX Resource Development Summit.*

8 ) (+) Add and subtract vectors. [N-VM4]

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. [N-VM4a]

b. (+) Given two vectors in magnitude and direction form, determine the magnitude and direction of their sum. [N-VM4b]

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. [N-VM4c]

This learning activity will be used to add and subtract vectors and is intended for an assessment activity. The students will complete the Adding and Subtracting Vectors Assessment to demonstrate mastery of how to add vectors end-to-end, component-wise, and by the parallelogram rule, determine the direction of their sum, represent vector subtraction graphically by connecting the tips in the appropriate order, and perform vector subtraction component-wise.

*This activity results from the ALEX Resource Development Summit.*