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Fractions on the Dollar with Number Lines
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Students will be able to express fractional money amounts relative to a dollar while playing an engaging dice game.
- Roll a six-sided die in front of your class and show the number to everyone.
- Ask your class, "How much money would each roll be worth if you had 5 cents times each different amount you could roll?" Have them think in pairs and share with a neighbor.
- Discuss the answer as a class and post your pre-prepared chart displaying each rolled amount: Rolling 1 yields 0.05 cents, 2 yields 0.10 cents, 3 yields 0.15 cents, 4 yields 0.20 cents, 5 yields 0.25 cents, and 6 yields 0.30 cents.
- Explain that today your class will play a game where this chart will be an important reference resource.
Explicit instruction/Teacher modeling(10 minutes)
- Hand out and preview the Cunning to the Dollar Game rules. Each pair should have at least one set of rules to share.
- Take special care to preview the section where cents-on-the-dollar amounts are converted to tenths and hundredths. Carefully review the examples and answer any clarifying questions regarding conversions.
- Re-enact the game example by rolling the die, calling out the numbers shown and replaying the actions for each roll. Answer any existing questions.
Guided practice/Interactive modeling(5 minutes)
- Hand out and preview the Cunning to the Dollar Game Scorecard to each student. Answer any questions as needed.
- Distribute one die per pair of students. This is a two-player game, but modifications can be made to include more players as long as everyone has a scorecard.
Independent working time(15 minutes)
- Release students to play, ideally in pairs.
- Students can modify the (x 0.05 cents) step to (x 0.025 cents) using calculators.
- Have students refer to the teacher prepared poster for die roll and cents equivalents, when filling out the second column of their scorecard.
- For students who struggle with converting cents to fractions, add two extra sections on the teacher prepared poster. Have an advanced student add fraction tenths and hundredths representations.
- Project the Cunning to the Dollar! Scorecard on a whiteboard when demonstrating to the class how to play the game.
- Smart boards, or other interactive digital boards, are a great way to demonstrate how to play the game with a blank scorecard.
- Take pictures of student work with your cell phone to later create a lesson portfolio using Google Slides or the word processing application of your choice.
- Show your students a combination of fingers one through six and ask them to convert your number by game rules to: Cents, fractional tenths, and fractional hundredths.
Review and closing(10 minutes)
- Review the game session by having students share three ideas with the whole class: Something challenging, something easy, and something they’d change about the game.