Level 4: Prove Something
Now bring it all together. Pair up your students. Make them take opposing sides of a debate. Should you start Player A or Player B today?
A baseball manager will look at a number of factors when making this decision. Who is pitching? Is he a lefty or righty? Which player hits better against lefties and righties? Does one player have better stats in night or day games? Is one player on a hitting streak?
Then think about defense. Is one player a better hitter and the other a better defender? Does your pitcher cause more fly balls or grounders? Which player gives you the best chance to win?
This gives your students a chance to take statistical information and apply it to a real situation. Have them take the data and turn it into a presentation where they try to convince the class of their viewpoint. Let them vote to decide who was most convincing.
After all, you can use statistics to prove anything.
All this baseball-related math will give your class an appreciation of how number theory is applied to real life. Whether sports or business, later on they will be using math to measure, predict or prove things. A sports-based curriculum is a fun way to teach them how.