numerical sequences
Mathematical studies linked to logical foundations contribute to the cognitive development of students, inducing the organization of thought and ideas, in the formation of basic concepts, assimilation of mathematical rules, construction of formulas and arithmetic and algebraic expressions. It is extremely important that the Mathematics graduate uses extra activities involving logic, in order to awaken reasoning, making the student use his potential in the search for solutions to mathematical problems developed in the classroom and based on logical concepts.
Logic is present in several branches of Mathematics, such as probability, counting problems, arithmetic and geometric progressions, numerical sequences, equations, functions, graph analysis, among others. The logical foundations will contribute to the orderly resolution of equations, to the perception of the value of the ratio of a sequence, to the elucidation of arithmetic and algebraic problems and to the fixation of complex contents.
The use of logical activities contributes to the formation of individuals capable of creating tools and mechanisms responsible for obtaining results in the discipline of Mathematics. Success in Mathematics is directly connected to curiosity, research, deductions, experiments, detailed vision, critical and organizational sense and all these characteristics are linked to logical development.
The activity model below can be used with students in the 5th and 6th grades of elementary school, aiming at mathematical studies correlated to logic. Watch:
The following figures have numbers that represent a logical sequence. Complete with the missing number.
Example 1
Don’t stop now… There’s more after the publicity 😉
Example 2
Example 3
Example 4
Example 1
The proposed numerical sequence involves multiplications by 4.
6 x 4 = 24
24 x 4 = 96
96 x 4 = 384
384 x 4 = 1536
Example 2
The difference between the numbers increases by 1 unit.
13 – 10 = 3
17 – 13 = 4
22 – 17 = 5
28 – 22 = 6
35 – 28 = 7
Example 3
Always multiply the numbers by 3.
1 x 3 = 3
3 x 3 = 9
9 x 3 = 27
27 x 3 = 81
81 x 3 = 243
243 x 3 = 729
729 x 3 = 2187
Example 4
The difference between the numbers increases by 2 units.
24 – 22 = 2
28 – 24 = 4
34 – 28 = 6
42 – 34 = 8
52 – 42 = 10
64 – 52 = 12
78 – 64 = 14
By Marcos Noah
Graduated in Mathematics
Team