Terminator

Junior (Age 9 – 12)

Curriculum Goal

Junior: Number Sense

  • Describe relationships and show equivalences among fractions and decimal numbers, using appropriate tools and drawings, in various contexts.

Context

  • Students work in pairs, either in class or on a video conference chat.
  • Students should have experience creating factor trees for one- and two-digit numbers and should know when the factors of a number are twos, fives, or both.

Materials

In-person version

  • One standard 52-card deck, with tens and face cards removed (Aces equal zero, and two to nine are face value)
  • Two rectangular bars to separate numerators and denominators
  • Scrap paper
  • Pencil

Online version

Lesson

  • Deal each student four cards from a shuffled deck.
  • Students use their cards to create a fraction that has a terminating decimal. Students will use scrap paper to determine if the denominator they have created has a prime factorization that includes only twos, fives, or both, which would make it a terminating decimal.
  • Students can also decide to “discard” up to two of their cards, keeping cards that make a terminating fraction.
  • After students have created a terminating fraction, or declared it is not possible, their score will be tallied up.
  • Students receive one point for making a terminating fraction, two points for making a terminating fraction that uses all four of their cards, and zero points if no terminating fraction can be made.
  • Discard or re-shuffle the used cards back into the deck.
  • The first player to reach ten points wins the game.
  • If students are having difficulty, consider having students play in teams, encouraging collaboration in creating a terminating fraction.

Look Fors

  • Do students understand what terminating fractions are?
  • Are students correctly creating factor trees to determine if their fraction is terminating?
  • Are students recalling the prime factors of numbers and showing fluency when creating terminating fractions?

Extension

  • Require students to use all cards in creating a terminating fraction. This will encourage students to practice making terminating fractions using tenths.
  • Deal additional cards to each student each round (e.g., six cards). This will allow students the opportunity to practice creating terminating fractions using hundredths.

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