Progressive Addition - OPTIONAL

Facts with Zero

Nineteen facts have zero as one of the addends.

Although these facts seem to be the simplest of all, some students will over generalize the idea that answers to addition are bigger.

The facts that this strategy focuses on are:

0 + 0	0 + 5	1 + 0	6 + 0
0 + 1	0 + 6	2 + 0	7 + 0
0 + 2	0 + 7	3 + 0	8 + 0
0 + 3	0 + 8	4 + 0	9 + 0
0 + 4	0 + 9	5 + 0

  

One-More-Than and Two-More-Than Facts

This strategy is used for facts that have a 1 or a 2 as one of the addends:

8 + 1 and 8 + 2

 Out of the 100 addition facts students will learn,

36 fall under the one-more-than and two-more-than facts.  

In these situations, students simply count up 1 or 2 from the greatest addend.

The facts that this strategy focuses on are:

1+0	0+1
1+1
1+2	2+1
1+3	3+1
1+4	4+1
1+5	5+1
1+6	6+1
1+7	7+1
1+8	8+1
1+9	9+1
2+0	0+2
2+1	1+2
2+2
2+3	3+2
2+4	4+2
2+5	5+2
2+6	6+2
2+7	7+2
2+8	8+2
2+9	9+2

Double Facts

 There are only 10 doubles facts.

These facts are relatively easy to learn and become a powerful way to learn many other facts. 

Examples of double facts include: 5 + 5, 3 + 3, 6 + 6.

Dice from board games are good visuals to use to help students remember their double facts.

The facts that this strategy focuses on are: 

0 + 0	5 + 5
1 + 1	6 + 6
2 + 2	7 + 7
3 + 3	8 + 8
4 + 4	9 + 9

Near Doubles

Near doubles are also called the “doubles-plus-one” facts and include all combinations where one addend is one more than the other. There are 20 of these facts.

When students realize that these are facts that have addends with a difference of 1 -

(1 + 2), (3+ 4), (5 + 6) etc.

Simply double the smaller addend and add 1.

The facts that this strategy focuses on are:

0 + 1	1 + 0
1 + 2	2 + 1
2 + 3	3 + 2
3 + 4	4 + 3
4 + 5	5 + 4
5 + 6	6 + 5
6 + 7	7 + 6
7 + 8	8 + 7
8 + 9	9 + 8
9 + 10	10 + 9



Make Ten

The sum of the two addends equals 10.

The facts that this strategy focuses on are:

1 + 9	9 + 1
2 + 8	8 + 2
3 + 7	7 + 3
4 + 6	6 + 4
5 + 5