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Jumping Frogs Problem
Frog’s Jump Problem
• Frog jumps 8 times.
• Each time he jumps, he
  travels the same distance.
• After 8 jumps, he travels 96
  steps.
• How long are the jumps?
Toad’s Jump Problem

    • It takes Toad the same amount
      of time to get to 96, but he does
      it differently.
    • Each of Toad’s jumps are equal
      to 8 of Frog’s jumps.
    • How many jumps does Toad
      make?
Decontextualize it!

• Represent both problems on one
  diagram
• Explain how they are different and
  how they are alike.
Jumping Frogs and Algebra!

• For each problem that follows, find the
  number of steps that one jump equals.
Sunny

• When Sunny jumps 4 times and takes
  11 steps forward, he lands in the same
  place as when he jumps 5 times and
  takes 4 steps forward.
• One jump equals how many steps?
Cal

• When Cal jumps 3 times and takes 6
  steps forward, he lands in the same
  place as when he jumps 4 times and
  takes 2 steps backward.
• One jump equals how many steps?
Legs

• When Legs jumps 2 times and takes
  13 steps forward, he lands in the same
  place as when he jumps 4 times and
  takes 5 steps backward.
• One jump equals how many steps?
Extension Idea

• For a fun extension, fold your own
  origami jumping frog and compete
  against friends!
• http://www.en.origami-
  club.com/fun/jumpingfrog/jumping
  frog/

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Jumping Frogs Problem

  • 2. Frog’s Jump Problem • Frog jumps 8 times. • Each time he jumps, he travels the same distance. • After 8 jumps, he travels 96 steps. • How long are the jumps?
  • 3. Toad’s Jump Problem • It takes Toad the same amount of time to get to 96, but he does it differently. • Each of Toad’s jumps are equal to 8 of Frog’s jumps. • How many jumps does Toad make?
  • 4. Decontextualize it! • Represent both problems on one diagram • Explain how they are different and how they are alike.
  • 5. Jumping Frogs and Algebra! • For each problem that follows, find the number of steps that one jump equals.
  • 6. Sunny • When Sunny jumps 4 times and takes 11 steps forward, he lands in the same place as when he jumps 5 times and takes 4 steps forward. • One jump equals how many steps?
  • 7. Cal • When Cal jumps 3 times and takes 6 steps forward, he lands in the same place as when he jumps 4 times and takes 2 steps backward. • One jump equals how many steps?
  • 8. Legs • When Legs jumps 2 times and takes 13 steps forward, he lands in the same place as when he jumps 4 times and takes 5 steps backward. • One jump equals how many steps?
  • 9. Extension Idea • For a fun extension, fold your own origami jumping frog and compete against friends! • http://www.en.origami- club.com/fun/jumpingfrog/jumping frog/