This problem requires students to draw firm mathematical conclusions following a period of experimentation. It provides an interesting context for students to begin to appreciate the value of using algebraic notation.
This problem offers students the opportunity to notice patterns, make conjectures, explain what they notice and prove their conjectures. Generalization provokes the need to use algebraic techniques such as collecting like terms and representing number sequences algebraically.
This game gives children the opportunity to estimate answers to calculations in a motivating context and gives plenty of practice in multiplication and division. Playing strategically involves higher-order thinking and the need to think ahead.