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Frolicking Frogs

Frolicking Frogs. Treasures from the Attic Lesson 2. Objectives. Understand and identify improper fractions Understand and identify mixed numbers Develop an understanding of common denominators and be able to rename and compare fractions by finding a common denominator

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Frolicking Frogs

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  1. Frolicking Frogs Treasures from the Attic Lesson 2

  2. Objectives • Understand and identify improper fractions • Understand and identify mixed numbers • Develop an understanding of common denominators and be able to rename and compare fractions by finding a common denominator • Identify and rename equivalent fractions and order fractions of all types including improper fractions and mixed numbers

  3. Materials • Math notebook • Six green and two blue strips of paper • Homework sheet

  4. Mathematical LanguageTake notes in your notebook • Common denominators– denominators in fractions that have the same number of parts. • 3/8 and 5/8 have eights as a common denominator • Improper fraction– a fraction larger than or equal to 1 whole where the numerator is larger than or equal to the denominator • 8/5 or 5/5 • Mixed number– a number written as a whole number and a fraction • 2 ½

  5. The Story Tori and Jordan went back into the attic and checked out the trunk. They found a newspaper article about their great-great-grandfather and how his favorite bullfrog, Daddy Long Legs, had won two blue ribbons from the county fair. Their grandmother explained how her grandfather had the best jumping frog in the county. Tori and Jordan read the news article about the frog-jumping contest and found out that Daddy Long Legs had outdistanced many other frogs to win. He was the Grand Champion and the Flight Champion of the Washington County Fair, and he got to the finish line every time he jumped. The children asked their grandmother if she remembered her grandfather talking about what the contest was like. She told them that each frog had three consecutive jumps that were measured to find the winner. She remembered her grandfather telling her about one frog that jumped a total of 18 feet 3 inches on the day that her grandpa’s Daddy Long Legs competed, but gleefully announced that Daddy Long Legs jumped a total of 19 2/3 feet. She also shared how some of the frogs jumped forward and then back to where they started. Tori and Jordan decided to have their own frog-jumping contest using origami frogs.

  6. Task With a partner, you will use strips of paper to mark the distances the frogs jumped at the fair to determine how far they jumped each time. Some frogs will jump more than once.

  7. Example • Each strip of paper is three feet long • Using the blue strip of paper, fold it to find and mark each foot. • Then, use the same blue paper to find and mark 1 1/3 foot • What is an improper fraction that is equivalent to 1 1/3? 1 2 3 1 1 1/3 2 3

  8. Example • 4/3 is an improper fraction that is equivalent to 1 1/3 • How could you name each foot as a fractions? • A whole foot on your strip of paper is divided into thirds, so one foot would be 3/3 (three thirds), two feet would be 6/3, and three feet would be nine thirds • Label each fold on the blue paper as a part of a third

  9. 2 ¾ & 5/4 • Use a new blue paper strip to locate 2 ¾ • Mark this point, label it as a mixed number, then label it as in improper fraction • Use the same paper to locate 5/4 and label it as both a mixed number and an improper fraction

  10. Activity • For each of the following slides, mark a green paper strip with the name of the frog and the fractions to indicate how far that frog jumped. • Use a separate paper strip for each frog After you have completed the activities you will fold and glue the paper strips into your notebook. Make sure to include your partners name.

  11. Big green Monster and the Swamp Prince • Mark a paper strip at 7/9 foot, the Big Green Monster’s first leap of the day at the Frolicking Frog Jumping Contest at the Washington County Fair. • The Swamp Prince jumped 5/6 for his first leap. Mark a separate paper strip to show where the Swamp Prince landed. Answer in your notebook: Who had the longer jump?

  12. Lily Pad Lily • Lily Pad Lily first landed at 1 3/8 feet. Mark her first jump on a paper strip. After her second leap, Lily Pad Lily landed on the 2-foot mark. Mark this on the same strip of paper. Answer in your notebook: Which jump was longer? Explain.

  13. Magnificent Mike and Marvelous Maxine • Magnificent Mike and Marvelous Maxine were twin leapers from way back. Magnificent Mike’s first leap was 2 2/3 feet, and Marvelous Maxine landed at (11/4) feet on her first jump. Mark one paper strip to show where Magnificent Mike landed and another to show where Marvelous Maxine landed. Answer in your notebook: Who Jumped farther?

  14. Bouncing Beauty • Bouncing Beauty’s first leap was (25/12) feet. Mark a paper strip to show where she landed at the end of the jump.

  15. Frisky Frog Leaps (homework) • Complete the worksheet and glue it into your notebook

  16. Think Deeply • Answer the following questions in your math journal (notebook). Your responses will be graded using the math journal rubric. • Which frog had the longest first jump– Big Green Monster, Swamp Prince, Lily Pad Lily, Magnificent Mike, Marvelous Maxine, or Bouncing Beauty? Explain your answer. • Daddy Long Legs had three practice jumps at the fair. His jump of 1 1/3 feet is marked on the number line below. Copy the number line in your notebook. Locate and label his other two jumps of 5/12 foot and 1 ¾ feet on the number line. Explain your answers.

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