In this lesson you will learn how to prove that a number is even by representing it as the sum of
two equal addends.
Let’s Review
All even numbers can be evenly split into groups of two and two equal groups.
8 9 10761 2 3 4 5
EOEOEOEOEO
Let’s Review
In addition equations the addends are added together and the sum is the total.
6 + 6 = 12
Addend Addend Sum
A Common Misunderstanding
Thinking that addends have to be even to have an even sum.
6 + 6 12
= ✓✓7 + 7 =14
Core Lesson
If a number can make even groups of two it will always make two equal groups.
2 + 2 + 2 + 2 + 2 + 2
6 + 6
=
Core Lesson
Any even number can be shown as the sum of two equal addends.
18
19
2017
16
11 12 13 14 15
EOEOEOEOEO
6 + 6