Mathematics

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Discrete Mathematics

Matrices

Graphs
Social Choice

In Secondary Cycle Two, the study of matrices is integrated into various branches of mathematics in the Technical and Scientific option. It is based on situations in which the use of matrices is relevant, and the terminology associated with it is introduced when required.

Matrices are a register of representation (grid, table) that can be used to interpret, process and manipulate effectively several data at the same time. Operations such as matrix addition and matrix multiplication with a scalar or another matrix (e.g. purchases/sales, inventory) form the bases of spreadsheet programs. Matrices can also be used to perform geometric transformations [reflections, translations, rotations,1 dilatations (uniform scaling or homothety)] by using concepts and processes associated with analytic geometry and trigonometry. Solving systems of equations by using row operations on augmented matrices is another example of how matrices are used.

The following tables present the learning content associated with matrices. By basing themselves on the concepts and processes targeted, students develop the three competencies of the program, which in turn enable students to better integrate the mathematical concepts and processes presented.

Introduction to matrices  

Student constructs knowledge with teacher guidance.

Student applies knowledge by the end of the school year.

 

Student reinvests knowledge.

Elementary

Secondary
Cycle
One
Cycle
Two
  6 1 2 3 4 5
  1. Understands tables of numbers: lines, columns
             
  1. Represents, interprets data using matrices
            CST
  TS
    S
  1. Performs operations on matrices: addition and subtraction, multiplication with a scalar and with another matrix
            CST
  TS
    S
  1. Performs geometric transformations (transformation matrices)
            CST
  TS
    S
  1. Solves systems of equations (augmented matrix)
            CST
  TS
    S
1.  Rotation could be done with measures of significant angles.

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