Which technique is used to teach the 11s multiplication facts systematically?

The technique of finding the corresponding 11s fact is particularly effective for teaching multiplication by 11 because it leverages a unique pattern that exists within these multiplication facts. When multiplying any one-digit number by 11, there is a simple rule that can be applied: if you're multiplying, for example, 11 by 3, you can think of it as placing the digit 3 between two zeros, resulting in 33.

For two-digit numbers, such as multiplying 11 by 12, you can again utilize this technique. Split 12 into its digits (1 and 2), then place the sum of those digits in between them (1 + 2 = 3), resulting in 132. Thus, 11 x 12 = 132. This systematic approach not only helps students memorize and understand the 11s multiplication facts better, but it also makes the process quicker and reinforces number sense.

By employing this method, students can develop confidence in their multiplication abilities and see the relationships between numbers more clearly, making it a powerful educational tool.