Today, we started working on a math situation that will keep us busy for a few days. The problem is based on a frog jumping contest that takes place annually in Calaveras County in California. Frogs are lined up on a starting line, and then they jump. The frog with the longest jump is the winner. The problem is that frogs generally take a few jumps and then a few steps, which makes it difficult to figure out how long one of the jumps was. To address this issue, we have the referee's frog-jumping rule: Whenever a frog jumps in an event, if the frog takes more than one jump, all jumps are assumed to be equal in length and all steps are assumed to be equal in length. This is an algebra exploration--more on that later. Here's how we began:
MT is a bullfrog. He is world-famous for his long jump. When he takes 4 jumps and 8 steps, it is the same as taking 52 steps. Use the referee's frog-jumping rule to figure out the following:
1. How many steps are equal to 2 jumps and 4 steps made my MT?
Yaya's thinking:
Eleanor's thinking:
Scott's model, which shows Yaya and Eleanor's thinking:
2. How many steps are equal to each jump made by MT?
Chris' thinking:
Ella N.'s thinking:
Braden's thinking:
Colby and Alexa showed both problems together:
Colby's thinking:
Alexa's thinking:
No comments:
Post a Comment
Thanks for leaving a comment! Please remember to include your name. Note to students: When you leave your brilliant, thoughtful comments, be sure to remember spelling, punctuation, capital letters and grammar!