Unpacked Content
Knowledge
Students know:
- The aspects of end-to-end, componentwise, and the parallelogram rule involving vectors.
- The additive inverse of a vector has the same magnitude but the opposite direction.
Skills
Students are able to:
- Draw and find the diagonal of a parallelogram.
- Represent vectors on an xy-plane.
- Find the components of a vector given the direction and magnitude.
- Find the additive inverse of a vector.
Understanding
Students understand that:
- There are multiple ways to find the sum and difference of a pair of vectors.
- The magnitude of the sum of two vectors will not be the same as the sum of the magnitudes unless the vectors are in the same direction.
- The vector with the larger magnitude will have the greatest effect on the result.
Vocabulary
- End-to-end
- Component-wise
- Parallelogram Rule
- Sum of Two Vectors
- Additive Inverse
- Vector Subtraction
