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A2-N-1-3

Page history last edited by Tashe Harris 6 years, 2 months ago

A2.N.1.3 Use matrices to organize and represent data. Identify the order (dimension) of a matrix, add and subtract matrices of appropriate dimensions, and multiply a matrix by a scalar to create a new matrix to solve problems.

In a Nutshell

Students will learn properties of matrices, to add and subtract matrices, and multiply a matrix by a scalar. They will interpret data that is represented by matrices.

Student Actions	Teacher Actions
Students will develop a deep and flexible conceptual understanding of the uses of matrices by interpreting and translating data into matrix form and defend their matrix choice verbally and/or in writing. Students will develop accurate and appropriate procedural fluency in addition and subtraction of matrices. Students will develop accurate and appropriate procedural fluency to multiply a matrix by a scalar.	Select tasks that allow students to decide what matrix dimension best represents the problem at hand. Provide students with opportunities to make the connection between lists of data and or coefficients in an equation and data in a matrix. Support productive struggle as students explore the effect of adding and subtracting matrices and discuss and apply this concept to real world situations. Allow students to discover the relationship between multiplying a matrix by a scalar and repeated addition. Provide tasks that allow students to make a connection to how this operation is also used with numbers and polynomials. Implement tasks that allow students to discover relationships and make connections to the use of scalar multiplication.
Key Understandings	Misconceptions
Understand that a system of equations can be represented by a matrix. Add and subtract matrices of equal dimension. Multiply a matrix by a scalar.	Students forget to put equations in standard form before setting them up as matrices. Students do not multiply the scalar to all elements within a matrix. Students mistakenly try to add or subtract matrices with different dimensions. Students subtract matrices in the wrong order. Students lose track of the sign of each element within a matrix operation.