• ###### From Scratch

These worksheets use images of dominos, with each domino having a certain number of dots on each side. The goal is for students to add the number of dots on one side of the domino to the number of dots on the other side to find the total. They can be a fun and effective way for children to practice their addition skills. They combine visual learning (counting the dots on the dominos) with abstract learning (writing down and adding the numbers), which can help reinforce the concept of addition.

The worksheets may present these dominoes with dots already marked, with one side blank for students to complete, or with spaces for students to imagine or draw the dots themselves. The objective is to count the dots on each side of the domino and then add them together to find the total number of dots, which represents the sum of the two numbers.

The real goal here is to help students understand the concept of “part-part-whole,” a fundamental aspect of early mathematics education that helps students understand how smaller parts combine to make a larger whole. In this case, the two sides of the domino are the parts, and the total number of dots is the whole. This introduces children to the concept of the commutative property of addition.

By repetitively counting and adding the dots, students reinforce their understanding of how numbers combine, and they develop a more intuitive sense of addition. This hands-on approach can be particularly effective for young learners who are just beginning to understand and apply mathematical concepts.

### What is the Commutative Property of Addition?

The commutative property of addition is one of the fundamental properties of arithmetic operations. It states that the order in which you add numbers does not change the sum. In other words, if you are adding two or more numbers, you can add them in any order and the result will be the same.

Mathematically, it can be expressed as follows for any real numbers a and b:

a + b = b + a

For example, if you are adding 3 and 5, according to the commutative property, you can add them as 3 + 5 or as 5 + 3, and you will get the same answer (8) either way.

This property is very useful for solving mathematical problems and simplifying calculations, as it allows us to rearrange terms in an expression to make the calculation easier.

It’s also a key concept that is often introduced early in a child’s mathematical education, typically around the same time they start learning about addition. It’s worth noting that this property holds for multiplication as well (a x b = b x a), but does not hold for subtraction or division.