They quickly come to realize that the human has the advantage in many situations. Extend their understanding and use of arithmetic operations to fractions, decimals, integers, and rational numbers. Given a decimal or a fractional value for a piece of a tangram puzzle, the students determine a value for each of the other pieces and a value for the whole puzzle. Students use fraction squares to show why the multiplication of two fractions less than one results in a product that is less than either. Extend their understanding of basic arithmetic operations on whole numbers to include powers and roots.
Students play powers max out .
Each student has a set of 5 blanks, into each of which will be written a digit. One student rolls a die and everyone must write the number showing into one of their blanks. Once written, anumber can not be moved. Another roll - another number written, and so on. The object is to be the player with the largest-valued expression when all five digits have been written.