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
Meaning of operations involving numbers
As students gradually develop their number and operation sense, they will be called upon to develop their own processes and adopt conventional ones in order to perform various operations. They will learn to recognize equivalencies between these different processes and to develop certain automatic responses. Using these processes and the properties of operations, they will also learn to estimate results and obtain accurate results using mental and written computation.
The situations presented should involve numerical and nonnumerical patterns (e.g. colours, shapes, sounds) to allow students to observe and describe various patterns and series of numbers and operations, such as a sequences of even numbers, multiples of 5 and triangular numbers. These situations will also require students to add terms to a series, state general rules or build models. Thus, students will learn to formulate or deduce definitions, properties and rules.
In all cycles, calculators may be used to good advantage as a calculation, verification and learning tool (e.g. in situations involving patterns, number decomposition, or the order of operations).
The table below presents the learning content associated with 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.
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 










































































Pattern, series Symbols Calculator keys 

 1  2  3  4  5  6 








Irreducible fraction  
 1  2  3  4  5  6 






















$, ¢ 

 1  2  3  4  5  6 








Percentage Symbol % 
Understanding and writing numbers
Meaning of operations involving numbers
1.  The development of a repertoire of number facts requires more than mere memorization of tables. 
2.  The basic additions (and the corresponding subtractions) and multiplications (and the corresponding divisions) include operations whose terms and factors are less than 11. 