Suppose Jacob and his older brother Nathan run a 100-yard race. Since Jacob runs at an average of 3 yards/second and Nathan runs at an average of 5 yards/second, Jacob gets a 40 yard head start in the race. Assuming all rates are consistent throughout the race. Who wins the race? How long did the race last? Who would win if the race was 150 yards long? By how much? Write an equation to represent Jacob and Nathan's speed. In graphical form, why is Nathan's line steeper?
Suppose you have an infinite geoboard and that on each side of the lattice points except one at the origin there is a tree with a trunk that is only as wide as a line. You are standing on the origin. Is there a straight line path that you can take from the origin that will allow you to walk forever in the forest and not hit a tree? If so, is there anything significant about the slope of the line? If you found one line, is there another distinct line that meets this criteria? (from the Elem. Math Project, Michigan State University)
You can't see the forest through the trees (expl. problems p. 93)
Find the relationship between the drop height and height of first bounce for various drop heights. What would happen if we used different balls for various starting heights?
Motion detector class activities (match-it and basketball/quadratic)