The third concept is SIMPLIFYING ALGEBRAIC EXPRESSIONS. When children play Speed! they quickly become familiar with the numbers in the decks. Then the numbers become associated in their mind. When a child who has played a lot of Speed! to learn the multiplication tables begins simplifying algebraic expressions, the number sense helps tremendously.
For example, each of the coefficients in this algebraic expression are in Four Speed. Four Speed contains the numbers 4, 8, 12, 16, 20, 24, 28, 32, 36 and 40.
A child given the task to simplify the expression would recognize that 4, 12 and 32 were cards in Four Speed. 4 was the first card, 12 was the third card, and 32 was the eighth card. Therefore the expression could be reduced to: