Performance Task Preview:
(For Parents' Information: In the game of Battle Towers, number tiles 0-13 are placed randomly face down. Students each draw one tile from the set and build a tower to match the number on their respective tile. The towers are compared. The child with the taller tower keeps the difference and stockpiles to build their ultimate tower later. Used tiles are discarded from play. Play continues until all tiles have been drawn, usually 7 rounds. The child with the largest ultimate tower wins the "war".)
Students will read a story about 2 children playing 2 rounds of Battle Towers. They will be asked to tell which student won the two-round match and to explain why. They will need to model their explanation. One way to do this is to use the patterns and models already discussed in class (part, part, whole). They should remember that the larger tower (whole) minus the shorter tower (part known) equals the difference (unknown part). Basically, (and this can be discussed at home) if 2 children have their own collection of pennies, to find the difference in the number of pennies each child has, the smaller collection amount is subtracted from the larger collection amount to find the difference:
Large collection - Small collection = Difference
Another model children might use is a pictograph/bar graph to show the size of the towers. The difference in length of the towers for the first round compared to the difference in the length of the towers over the second round reveals who won the two-round game of Battle Towers.
Finally, students will be asked to give an example where in a 3rd round of Battle Towers the difference in the two towers would be 3. (Reminder: in any subsequent round of Battle Towers, the numbers already chosen for the length in towers of previous rounds cannot be chosen again, because they have been removed from play.
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