The concepts and processes to be acquired and mastered in arithmetic constitute the building blocks of mathematics, since they are applied in all other branches of this subject.
Understanding and writing numbers
Operations involving numbers
In order to fully understand operations and their different meanings in various contexts, students must understand the relationships among data and among operations, and choose and perform the correct operations, taking into account the properties and order of operations. Students must also have a general idea of the result expected.
Students will thus be encouraged to use concrete, semiconcrete or symbolic means to mathematize a variety of situations illustrating different meanings. In these situations, students will learn to break problems down into simpler ones and identify the relationships among data that will help them to arrive at a solution. Since operation sense is developed at the same time as number sense, the two should be taught concurrently.
The table below presents the learning content associated with the meaning of operations involving numbers. The concepts and processes targeted will provide students with increasingly complex tools that will help them develop and use all three mathematics competencies.
Meaning of operations involving numbers  
Student constructs knowledge with teacher guidance.
Student applies knowledge by the end of the school year.
Student reinvests knowledge. 
Elementary  

Cycle One 
Cycle Two 
Cycle Three 

1  2  3  4  5  6  

1000  100 000  1 000 000  




























Plus, minus, less, more Addition, subtraction, sum, difference Symbols +, – 

At least, at most, term, missing term Multiplication, factor, product Division, divisor, dividend, quotient, remainder, sharing Equality, inequality, equation, inverse operation, multiple Symbols ×, ÷ 


1  2  3  4  5  6 
hundredths  thousandths  


















 1  2  3  4  5  6 

Understanding and writing numbers
Operations involving numbers