Number bond is an extremely important foundational mathematical concept. Number bond is about number composition. It explains how numbers work and the relationship between numbers. It also provides a mental picture to help children understand how every number can be combined, and the inverse relationships between the arithmetic concepts - Addition/Subtraction, Multiplication/Division. It helps the child understand the abstract concept in a more deeper way.
Consider the following four-fact family :
2 X 3 = 6
3 X 2 = 6
6 /2 = 3 (6 divided by 2)
6 /3 = 2 (6 divided by 3)
The normal idea is that if they understand one fact in the family, they understand all of them. But many students never see the connection and tend to think of them as separate peices of information that they need to memorize. This can overload their minds and students can lose interest in arithmetic and math as a result.
Number bonds help students to make that connection and facilitate their understanding as it shows students a single mental picture that depicts all four of the fact family relationships.
An option to start with number bonds is first start with a few of the word problems (exercise) so the child can get a good feel of how things are put together, taken apart and whole again. Then it would be easier for the student to go through the number bond pages to completely master the concepts of multiplication and division.
Guide to the Number bond diagram
The three numbes in the triangle represent the three numbers that form the bond, with the lower two vertices of the triangle represented by the number that are the multiplication components. The number at the apex of the trangle is the resultant of the numbrs multiplied.
Dividing the number at the apex with any one of the bottom vertice number will give the other number.in the pair.
Multiplying the numbers at the bottom vertices in any order will give the same answer – the number at the top vertice. Eg. 3 X 2 = 2 X3, both equal 6.
Have Fun learing Math.
John Cody
Singapore Primary Math: Multiplication and Division of Numbers 1-12
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