Teaching and understanding multiplication concepts – Arrays, repeated additions, equal groups & number line

Understanding the basics of multiplication


All what you need to know

The basic concept of multiplication

Teaching and understanding multiplication concepts means that you must learn or teach gradually skip counting, the double of numbers, square numbers, counting the even numbers…

Moreover, it is important to understand the standard principles of multiplication through repeated additions, equal groups, arrays distribution and representation on a number line.

All these elements put together give full control on multiplication expressions and help to interpret the words problems.

Understand multiplication with equal groups

In the example above, we have 3 groups of 7 donuts. The expression __ groups each with __ is very important to keep in mind because all multiplication word problem can turns into that sentence. By doing that, write multiplication expression becomes too easy. 3 groups of 7 donuts = 3 x 7 = 21 donuts.

Write repeated addition for array

Now let’s go further in our explanation with the must basics principle of multiplication which is repeated addition. Here is an array, our goald is to write the repeated addition that describes this array.

Cutting our array into colums we obtain 4 groups each with 3 hamburgers
Everything become quite simple after slice the array into groups. As we can see 4 groups of 3 hamburgers, we write the following repeated addition: 3 + 3 + 3 + 3 = 12 hamburgers.

Write multiplication expression for array

If we use the previous array to explain how to write multiplication expression for array, 4 groups of 3 hamburgers give the following multiplication sentence:
4 x 3 = 12 hamburgers

Understand multiplication with number line

It’s very simple and easy to use number line to solve basics multiplication. To make it with ease, you’ll first need to know skip counting which simplify it; so the value of the number line could correspond to the products of the times tables from 0 to 12. Let’s use this example:
The values set on this number line are for x 6 times tables; which means we are doing multiplication by 6. We have 5 hops on the number line, so 5 is the second factor we need to write multiplication expression.
The multiplication expression that describes this number line is 5 x 6 = 30

Teaching and understanding multiplication concepts through all these examples is very easy when you follow all steps progressively. Then you could find more skills with different quizzes for this section.