how do patterns with even numbers work? why is every other number even?

How do patterns with even numbers work?

Why is every other

number even?

In this lesson you will learn why numbers have an alternating even-odd pattern by drawing

pictures and using a number line.

Let’s Review

Even numbers can be evenly split into groups of two and two equal groups.

8 9 10761 2 3 4 5

EOEOEOEOEO

A Common Misunderstanding

Forgetting numbers are only even when they have exactly two equal groups.

9 12

Odd Even

Core Lesson

Numbers have an alternating even-odd- even-odd pattern.

8 9 10761 2 3 4 5

EOEOEOEOEO

Core Lesson

Core Lesson

The even-odd-even-odd pattern will continue on and on, forever.

18

19

2017

16

11 12 13 14 15

EEEOEOEO

Core Lesson

So, every other number is even and every other number is odd.

18

19

2017

16

11 12 13 14 15

EOEOEOEOEO

Core Lesson

The number after any even number will always be odd.

18

19

2017

16

11 12 13 14 15

EOEOEOEOEO

The number after any odd number will always be even.

In this lesson you have learned why numbers have an

alternating even-odd pattern by drawing pictures and using

a number line.