The distributive property turns out to be central to a surprising variety of important mathematics. One of the most valuable is to use it to break products into two pieces to make them easier to compute. Thus 56+510 is easier to solve in your head than 5*16. Here again we take what is generally considered an abstract principle and make it a concrete spreadsheet picture made up of different rectangles.
Tag: factors and multiples
Counting By
Counting-By introduces multiplication. Counting-by or skip-counting is, we believe, the best way to help students build their multiplication facts, and though they will live in an age of ubiquitous spreadsheets and calculators, they still need to have mastered their multiplication facts to do any interesting math in their heads. Here they learn to build rules that count-by and in the process practice both counting-by and rule-making. Counting-by adds the same number again and again and their rule should do the same.