Teaching Math: Adding Even and Odd Numbers

The first step begins with distinguishing even and odd numbers. It is important to master the mathematics of the teacher, as it will be built on in future academic years. Great Tips and Tools You can also teach Odd Numbers here, but by third grade students will be expected to add even and odd numbers with even numbers. As with any art, some art can be worked by children but some students can benefit from Math in another way. Whether you’re a parent looking for homework help, a homeschool parent looking for a resource, or a school teacher looking for an alternative way to explain even and odd numbers, these math tutors experienced tips can help.

Read this important final lesson on adding even and odd numbers.

There are rules that apply to even and even, odd and odd, even and odd numbers. Memorizing the rules is one thing, but to find some practice, the rules are always useful. It is even more useful to understand why the rules always work.

Next we must observe that two even numbers added together always produce another even total.

2 + 2 = 4

18 + 18 = 36

6 + 6 = 12

Why?

This is quite simple. Even when two numbers are added together, it is always the sum, also because if each number could be divided by two without the remainder, this is still true when two are added together.

Let the kids try this even with odd numbers.

1 + 3 = 4

7 + 7 = 14

5 + 3 = 8

Two odd numbers will also be even.

Why?

If we think of odd numbers as being even with one “extra” or “odd”, then when we add two odd numbers, the two “extras” are combined to make an even number.

What happens when we add an odd number and an even number?

8 + 1 = 9

6 + 5 = 11

10 + 3 = 13

When one number is odd and another is even, the sum will always be odd.

Why?

An odd number is an “extra” or “odd” number that has no partner to an even sum. It is still an odd paling.

By teaching about adding even and odd numbers, whether at school or at home, you encourage kids to come up with equations. Challenge them to solve your crazy big math problems and test these theories.

Here is an example.

2,999,532 + 4,995,904 = ?

This difficulty (or specific difficulties) together to confirm that the sum of these two numbers is also in reality. Now I teach them that they can simply look at the last two numbers, 2 and 4, which are both even, and definitely conclude the sum without doing any math.

Educational research studies can be a dry read, but they can never be less useful for teachers and parents to understand and predict what interests and challenges students may have in learning skills such as adding even and odd numbers. If you are interested, you can find one page of research here on Even and Odd Number Discussions.

Teacher tip:

Competing skills. Whenever students have added worksheets to multiple numbers, highlight, underline, or circle the last numbers in the problem and answer and identify them as even or odd for two for one math lesson.

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