What Are Extended Multiplication Facts On Triangles?

You can use fact triangles to teach basic multiplication facts.  One corner, marked with a dot, has the product, and the other two corners have the factors.  Extended multiplication facts on triangles involve multiples of ten as factors.  For instance, one corner might have ``500``, the second corner have ``30``, and the product corner, marked with a dot, would thus have ``15,000``.  Extended facts should be taught to children, not as  500 x 30, but rather as  something like ``5 [100`s] x 3[10`s]``.  The problem becomes `` 5 x 3`` x 100 x 10``.  All the child need do is multiply to find 15, then add 3 zeroes to the product.  Using fact triangles enables the child to immediately generate the 2 multiplication facts (500 x 30 = 15,000 and 30 x 500 = 15,000)  and 2 division facts (15,000 / 500 = 30 and 15,000 / 30 = 500) using those 3 numbers, AND the child can also use the triangles themselves like flash cards by covering one corner at a time with a finger.