**Twelve Timetables**

Wow, youve made it to the twelve timetables! Dont stop practicing all the other timetables. Well use them to learn the 12s. Lets start with finding patterns. Patterns are helpful when you take the initiative to write the timetables on an assignment or test before you begin to work any problems. Then, use the patterns to check for accuracy.

12 x 1 = 12

12 x 2 = 24

12 x 3 = 36

12 x 4 = 48

12 x 5 = 60

12 x 6 =72

12 x 7 = 84

12 x 8 = 96

12 x 9 = 108

12 x 10 =120

Pattern One: Look at 12 x 1 through 12 x 4. The tens digit in the product is the same as the number multiplied by twelve. Thereafter, the tens digit in the product / answer is one more than the 2nd factor or number multiplied by twelve.

Pattern Two: The digit in the ones place of the product skip counts by 2 and starts over after the count reaches 8.

Pattern Three: The first digit in the product are in numerical order with the exception 5 and 11 are skipped.

**Mental Strategy for 12 x12 thru 12 x 19**

12 x 12 = 144

12 x 13 = 156

12 x 14 = 168

Example: 12 x 13 =

Steps:

1. To get the first two numbers of the answer: Add 12 and the ones digit of the other number. 12 + 3 = 15

**2. To get the last digit of the answer: Multiply 2 which is the ones digit of 12 and the ones digit of the other number. In this case, 3. 2 x 3 = 6

3. Thus, the answer is 156.

****When the sum in step two is larger than nine. . .**

Example:12 x 15 =

Example:

Step 1) To get the first two numbers of the answer: Add 12 and the ones digit of the other number. 12 + 5 =17

Step 2) To get the last digit of the answer: Multiply 2 which is the ones digit of 12 and the ones digit of the other number. In this case, 5. 2 x 5 = 10

(The zero is the last digit of the answer. The 1 is added to the 17....thus the answer is 180)

Try it and check your answer below.

12 x 16 = 192

12 x 17 = 204

12 x 18 = 216

12 x 19 = 228

Did you notice the previous patterns still apply?