Children today i am going to teach you one of the interesting topic of mathematical world that is algebra . In grade II of gujarat secondary education board we learn numbers(1,2,3,4,5,6,7…….) and addition of 2 digits , subtraction of 2 digits, multiplication on 2 digits and when we study about operations like addition , subtraction , multiplication,Factoring Algebra and division on numbers, then this kind of study is called as an algebra 1 .In grade III we have to study about Patterns in tables of paired numbers, where paired numbers means two numbers which are related to each other and these patterns are useful to solve similar relative problem on pair numbers like we have cycle and their wheels relation and if you know one cycle has 2 wheels then how many wheels of 4 cycles . In above example number of cycles and number of their wheels are called as a pair numbers and we have to make a table pattern to solve this problem . So, for solving these kind of problems we have to study about Patterns in tables of paired numbers and when we define paired numbers in table pattern , where table pattern is known as a row-column pattern and these kind of patterns are called as a Patterns in tables of paired numbers(To know more about patterns click here). So, initially we discuss what is row-column pattern -
- row-column pattern ( table pattern) : in this pattern, we draw two intersected lines which is combination of horizontal and vertical line, where horizontal line is known as a row and vertical line is known as a column . For understanding row-column pattern briefly we have to take an example from real life scenario – like we have an number of cats and number of legs problem in table pattern
Number of cats Number of legs
so when we look at numbers , how the numbers in left column are related to numbers in right column , here one cat has 4 legs and when we want to find number of legs of 2 cats then we have to multiply with 4 like (2 * 4 = 8) and this process is going again and again. So, rule of this pattern is multiply by 4.
We can solve many problem with this pattern like - car and their wheels , cow and their legs , number of weeks and number of days , number of shoes and number of legs relation etc.
In everyday life we see many patterns like - barbed wire , grills of window , a snake etc and you look around your clothes there is some pattern also and we use these pattern to solve mathematical problems by relating each pair number in certain pattern and table pattern are most useful pattern to solve mathematical problem which is in pair number form .So, this is all about grade III's important lesson of algebra - Patterns in tables of paired numbers and You can also refer Grade III blog for further reading on Division problems.Read more maths topics of different grades such as Algebra and Functions in the next session here.