ELEMENTARY MATH 1
Learn your doubles
First we want to get your doubles down, these will help you in multiplication. Adding Doubles is the same as Multiplying by 2.
Adding is combining items together:
3+3 = &&& + &&& = &&&&&&
Multiplying is read as NUMBER OF ITEMS IN EACH GROUP and NUMBER OF GROUPS
so 6X2 means TWO GROUPS OF SIX or &&&&&& + &&&&&&
In other words DOUBLE the number.
Double Addition Fact 
Answer 
Multiplication Fact 
1+1 
2 
1X2 
2+2 
4 
2X2 
3+3 
6 
3X2 
4+4 
8 
4X2 
5+5 
10 
5X2 
6+6 
12 
6X2 
7+7 
14 
7X2 
8+8 
16 
8X2 
9+9 
18 
9X2 
10+10 
20 
10X2 
Match your DOUBLES and then match the Addition problem to the Multiplication problem
COMMUTATIVE PROPERTY
Commute is a word that means TO MOVE. The Commutative property means the numbers can MOVE around and swap places with each other but the answer doesn't change:
For example: 2+3 = 3+2; this is an example of COMMUTATIVE ADDITION
Another example: 6X2 = 2X6; this is an example of COMMUTATIVE MULTIPLICATION
Test yourself using the COMMUTATIVE PROPERTY:
Now, you have been studying your doubles, you know that MULTIPLYING by 2 means to double, and you know that the order of the numbers for multiplication and addition can switch and still give you the same answer, so test yourself with the following quiz:
BREAKING DOWN NUMBERS
Math is easier if you break down numbers into pieces that you know. Imagine your two hands with 10 fingers. We want to be able to break down a number to 5 + ?
In other words... if you have the number 6, what does that mean for your fingers? It means 1 WHOLE HAND (5 fingers) and 1 FINGER on the other hand: 5 + 1
What about 8? That means 1 WHOLE HAND (5 fingers) and 3 fingers on the other hand.
See you can match the fingers for each number between 6 and 9.
Adding Numbers to 10
Adding a number to 10 is very easy. Notice that 10 has 2 digits  the 1 is in the TENS place and the 0 is in the ONES place. If you add a single digit number to 10, it is added to the 0 part of the ten. A number plus zero is just the number so it is easy:
10 +5 15

10 +3 13

10 +7 17

10 +9 19

10 +2 12

Now you try it:
COMBINING TO ADD QUICKLY
In the last two exercises you learned to break down a number to a 5 + another number and to add 10 + a number. Now we will combine these two activities.
Add 6 + 5
Step 1: Rewrite 6: 6 = 5 + 1
Step 2: Add to 5: 5 + 1 + 5
Step 3: Locate your two 5's, 5+5 = 10 so now we have: 10 + 1
Step 4: Add 10 + number: 10 + 1 = 11
Add 7 + 6
Step 1: Rewrite 7: 7 = 5 + 2
Step 2: Rewrite: 6: = 6 = 5 + 1
Step 3: Combine: 5 + 2 + 5 + 1
Step 4: Find your two 5's, combine to be 10: 10 + 2 + 1
Step 5: Combine the 2 and the 1: 2 + 1 = 3
Step 6: Add 10 + number = 10 + 3 = 13
Right now this may seem like a lot of steps, but once you get good at it, you will be able to do this in your head quickly.
Add 5 + 9
Step 1: Rewrite 9: 5 + 4
Step 2: Add to 5: 5 + 5 + 4
Step 3: Combine the 2 5's: 10 + 4
Step 4: Add: 14
You should start to VISUALIZE the non5 number as it's sum of 5 + NUMBER and SEE IT IN YOUR HEAD.
Add 5 + 7
SEE 7 as 5 + 2
NOW SEE 10 + 2 = 12
Add 5 + 6
SEE 6 as 5 + 1
NOW SEE 10 + 1 = 11
Try some matching:
Addition Strategies
+ 0 
Anything + 0 is itself: 6 + 0 = 6 
+ 1 
Anything + 1 is just the next number: 8 + 1 = 9 
+ 2 
Count on 2 units: 4 + 2 = 6 
+ 3 
Count on 3 units: 8 + 3 = 11 
+ 5 
Break the other number into it's 5 + number parts: 5 + 8 = 5 + 5 + 2 = 12 
+ 6 
Break both numbers into their 5 + number parts: 6 + 7 = (5 + 1) + (5 + 2)= 10 + 3 = 13 
+ 10 
Just change the 0 to the number: 10 + 4 = 14 
9's Strategy
Adding with 9 is ALMOST like adding with 10, 9 is ONE LESS than 10  so if you have to add with a 9, pretend it is a 10 for easy adding and then takeaway 1 since it was really a 9.
Example: 9 + 4
THINK: 10 + 4 = 14
THINK ONE LESS: 13
Example: 8 + 9
THINK 8 + 10 = 18
THINK ONE LESS: 17
Try some:
ALMOST A DOUBLE
Another strategy is noticing that the pair of numbers is just ONE away from being a DOUBLE:
Example: 5+4
This is almost 5+5 but 4 is ONE LESS than 5.
We add it like 5+5 but take one less: 10 1 =9
Example: 7+6
This is almost 7+7 but 6 is ONE LESS than 7.
We add it like 7+7 but take one less: 141= 13
This strategy is a little harder but with practice, you can do it!
Try finding the match:
Let's try putting all these strategies together: Get a piece of paper and write the answers. Try to use as many strategies as you can.
9 + 3 
6 + 1 
8 + 2 
5 + 6 
10 + 3 
5 + 9 
1 + 4 
7 + 2 
5 + 7 
10 + 7 
7 + 9 
8 +1 
2 + 6 
5 + 9 
4 + 10 
6 + 9 
1 + 7 
2 + 4 
5 + 8 
10 + 8 
9 + 4 
5 + 0 
3 + 9 
6 + 6 
5 + 10 
8 + 9 
0 + 3 
7 + 3 
7 + 6 
7 + 7 
9 + 9 
8 + 0 
3 + 4 
8 + 7 
8 + 8 
ANSWERS:
9 + 3 =12 
6+1 = 7 
8 + 2 = 10 
5 + 6 = 11 
10 + 3 = 13 
5 + 9 = 14 
1 + 4 = 5 
7 + 2 = 9 
5 + 7 = 12 
10 + 7 = 17 
7 + 9 = 16 
8 +1 = 9 
2 + 6 = 8 
5 + 9 = 14 
4 + 10 = 14 
6 + 9 = 15 
1 + 7 = 8 
2 + 4 = 6 
5 + 8 = 13 
10 + 8 = 18 
9 + 4 = 13 
5 + 0 = 5 
3 + 9 = 12 
6 + 6 = 12 
5 + 10 = 15 
8 + 9 = 17 
0 + 3 = 3 
7 + 3 = 10 
7 + 6 = 13 
7 + 7 = 14 
9 + 9 = 18 
8 + 0 = 8 
3 + 4 = 7 
8 + 7 = 15 
8 + 8 = 16 
QUESTIONS:
1. Which is your favorite strategy you learned? Why?
2. Which strategy is the most challenging? Why?