The California Frog-Jumping Contest. Fosnot - Algebra Day One: Frog Jumping! The frog-jumping context is used to generate the open number line model that will be used throughout the unit to explore and represent equivalence of algebraic expressions. Student Materials Needed.
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Day One: Frog Jumping!
The frog-jumping context is used to generate the open number line model that will be used throughout the unit to explore and represent equivalence of algebraic expressions.
In California, in Calaveras County, a new sport was introduced more than 100 years ago; the frog jump. As many as 2,000 frogs compete each May at the FrogtownFairgrounds in Calaveras County, Angel Camp, California. The world’s frog jump record was set by Rosie the Ribiter in 1986. She jumped 21 Feet & 5 inches!
The contest was inspired by Mark Twain’s 1865 fictional short story, The Celebrated Jumping Frog of Calaveras County. Over the years, the contest has become the most popular attraction at the Angel Camp annual fair, which also includes music, a craft show, and local talent. Today, some of the sidewalks of the city are lined with painted green frogs and bronze plaques, modeled on the Hollywood Walk of Fame.
Angel Camp, California
Rosie the Ribiter
Jumped 21 Feet & 5 ¾ inches!
The Celebrated Jumping Frog of Calaveras County
Frogs spend most of their day sitting still. They catch flies or other insects with their tongues while they sit. Only occasionally do they jump, and that is usually to get to the water. So when they are placed on a jumping track, they usually sit and wait.
When you command a frog, “JUMP!” usually it sits still and waits. To get frogs to jump, you usually need to encourage them with a slight touch on the back or maybe a few gentle touches before they get annoyed and decide to jump.
When they do jump, they don’t jump just once. Usually they take two, three, or more jumps and walk a little bit (a few steps in one direction or another).
So the behavior of frogs when they jump presents a special problem in competitions where you want to find out which frog has the biggest jump. This is because you have to figure out the length of a frog’s jump when you know the length of several jumps and several steps combined. Referees of frog-jumping contests often use this 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.
Why would this rule be used in frog-jumping contests?
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 52 steps.
Use the referee’s frog-jumping rule below to figure out the following:
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.
All steps are also assumed to be equal in length.