Unpacked Content
Knowledge
Students know:
- Conditions under which matrix multiplication is defined.
- Techniques for adding and multiplying matrices.
- Techniques for scalar multiplication.
- Techniques for performing translations, rotations, reflections, and dilations.
Skills
Students are able to:
- Write a vector in matrix notation.
- Determine if matrix multiplication is defined for a given product of a matrix by a vector.
- Multiply a vector by a matrix.
- Add, multiply, and perform scalar multiplication on matrices.
Understanding
Students understand that:
- Mathematical representations such as vectors and matrices may be used in a wide variety of settings to model and solve real world problems and this modeling is facilitated by fluent use of techniques for working with these representations.
- Transformations of multiple vectors may be accomplished by the use of matrix multiplication as a means of transforming all vectors at the same time in a similar manner.
Vocabulary
- Transformation of Vectors
