Mathematics

Print section

Arithmetic

Understanding operations involving real numbers

Understanding real numbers
Operations involving real numbers
Understanding and analyzing proportional situations

Understanding operations involving real numbers

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. Natural numbers less than 1 000 000
    1. Determines the operation(s) to perform in a given situation
         
    1. Uses objects, diagrams or equations to represent a situation and, conversely, describes a situation represented by objects, diagrams or equations (use of different meanings of the four operations)
         
    1. Establishes equality relations between numerical expressions
      (e.g. 3 + 2 = 6 – 1)
         
    1. Determines numerical equivalencies using relationships between operations, the commutative and associative properties of addition and multiplication, the distributive property of multiplication over addition or subtraction
         
    1. Translates a situation using a sequence of operations in accordance with the order of operations
         
  1. Fractions
    1. Uses objects, diagrams or an operation to represent a situation and, conversely, describes a situation represented by objects, diagrams or an operation (use of different meanings of addition, subtraction and multiplication by a natural number)
         
    1. Uses an operation to represent a situation (use of different meanings of operations)
       
  1. Decimals
    1. Uses objects, diagrams or equations to represent a situation and, conversely, describes a situation represented by objects, diagrams or equations (use of different meanings of the four operations)
         
    1. Determines numerical equivalencies using relationships between operations (inverse operations), the commutative and associative properties of addition and multiplication, the distributive property of multiplication over addition or subtraction
         
    1. Translates a situation using a sequence of operations in accordance with the order of operations
         
  1. Chooses an appropriate way of writing numbers for a given context
    Note : Over the years, new notation systems such as scientific notation are added to the students’ repertoire.
         
  1. Looks for equivalent expressions: decomposing (additive, multiplicative, etc.), equivalent fractions, simplifying and reducing, factoring, etc.
         
  1. Translates (mathematizes) a situation using a sequence of operations (no more than two levels of parentheses)
         
  1. Anticipates the results of operations
         
  1. Interprets the results of operations in light of the context
         

Haut de page