JAPANESE MULTIPLICATION ACTIVITY
Japanese Multiplication: Why Diagonal Lines? You might be asking yourself: Why do I always see the lines in the Japanese multiplication method on a diagonal? Well, that’s likely because the majority who are using and sharing the Japanese multiplication method may have no idea why it actually works. By showing the lines diagonally, the base ten block array now organizes the intersection points in order of place value. Have a look below: As you can see above, an opportunity to circle back to place value and the importance of understanding that in base ten, we cannot have any number greater than 9 in any place value column. You’ll notice that the 10 one’s must be swapped out for a ten rod. So while many might consider this to be a pretty cool “trick”, it is much more powerful if students can articulate where procedures like these come from and why they work. This activity helps students to develop the intellectual power of the students . They are very much interest...