Learning Resource Type

Learning Activity

Fraction Equivalence: Pick a Card

Subject Area

Mathematics

Grade(s)

4

Overview

Students will play a game to practice adding fractions with denominators of 10 and 100 by creating equivalent fractions.  For each question they get right, the students will get to choose a playing card from a deck.  At the end of the game, they can trade in their cards for a prize.

 

This activity results from the ALEX Resource Development Summit.

    Mathematics (2019) Grade(s): 4

    MA19.4.17

    Express, model, and explain the equivalence between fractions with denominators of 10 and 100.

    Unpacked Content

    UP:MA19.4.17

    Vocabulary

    • Equivalence
    • Denominator
    • Fraction model
    • Tenths
    • Hundredths
    • Sum

    Knowledge

    Students know:
    • Strategies for generating equivalent fractions.
    • Strategies for adding fractions with like denominators.

    Skills

    Students are able to:
    • Express a fraction with a denominator of 10 as an equivalent fraction with a denominator of 100.
    • Use models to illustrate equivalency between fractions with denominators of 10 and 100.
    • Explain equivalency between fractions with denominators of 10 and 100.
    • Use equivalency to add two fractions with denominators of 10 and 100.

    Understanding

    Students understand that:
    • equivalent fractions are fractions that represent equal value.

    Phase

    After/Explain/Elaborate
    Learning Objectives

    Learning Objectives

     Students will be able to add fractions with denominators of 10 and 100 by making equivalent fractions.

    Activity Details

    • Begin by giving each student a dry erase board and a marker.  (If you don’t have enough materials for each student, they can work in partners or just use paper/pencil.)
    • Explain that the students will be answering questions involving fractions with a denominator of 10 or 100.  Remind students that one-tenth is the same as ten-hundredths, three-tenths equals thirty hundredths, etc.  You can use a 10x10 grid as a model to review the equivalence with students.
    • Explain how to play the game:
      • The teacher displays a math problem. (Here is a slideshow with a different problem on each slide.)
      • All students work the problem and hide their answers on a dry erase board.
      • The teacher will pick one student at random (using equity sticks, a shuffle app, a checklist, etc.)
      • The chosen student must show their answer.  You can have the student explain how they got their answer for students who might need the review.
      • Before revealing whether the students’ answer is correct, have the other students show a “me too” hand symbol if they have the same answer.
      • If the student has the correct answer, they get to pick a playing card from the deck.  They will not know what the card means until the end of the game.
      • Continue displaying math problems until all students have had a chance to answer (or as long as time allows).
      • At the end of the game, students turn in their cards for a “prize”.  Here is an example of the prizes:
        • Red cards = high five from the teacher
        • Black cards = one dojo point
        • Face cards = one skittle
        • Wild Card (ex: 4 of diamonds) = choose your seat at lunch
      • You can change up the prizes for the cards every time you play, so the students never know what they’ve won until the end of the game.  You can also have only the wild card get a prize -- all of the students will hope to be the winning student!
    Assessment Strategies

    Assessment Strategies

    The teacher should check student answers to be sure they are adding correctly.  Look for the strategies they use to add the fractions, such as making equivalent fractions or drawing a model.  You can use a student checklist to keep track of which students are solving the problems correctly.

    Variation Tips

    • This game can be played with questions from any topic or subject.
    • You can differentiate by choosing specific students to answer appropriately-leveled questions.  For example, choose a struggling student to answer an easier question or choose a student who needs a challenge for a difficult question.

    Background and Preparation

    Background / Preparation

    You will need: 

    • Math problems slides
    • a deck of playing cards
    • a set of dry erase boards and markers for each student
    • A small bag of candy or erasers to use as “prizes” (optional)

    Some of the answers to the questions will create a mixed number, so students will need to be familiar with this concept.

    Digital Tools / Resources

    ALSDE LOGO