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Benchmark Fractions Game

Grade Levels
3rd - 6th
Formats Included
  • PDF
7 pages
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Do you want your students to have a stronger fraction sense? Slides and Ladders Benchmark Fractions will get your students talking, thinking and reasoning together about fractions. During this activity, students will estimate if the sum or difference of two fractions is closest to 0, 1/2 or 1. In order to move on in the game, students will need to convince their fellow players that they are correct. This is an opportunity for such rich discussion! Students often draw diagrams on white boards or scrap paper or use manipulative to explain their thinking to each other. One of the most valuable parts of this experience tends to be the shared experiences created. Each time students play, they gain a whole new set of “just like that problem…” or “remember when Jack said it was like 1/2 because” experiences that they will refer to all year long as their work with fractions deepens.

•Teacher Notes
•Student Directions
•Board Map
•Game Board for Benchmark Fractions with Answer Key
•Color by Code Printable with Answer Key

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Total Pages
7 pages
Answer Key
Teaching Duration
30 minutes
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to see state-specific standards (only available in the US).
Attend to precision. Mathematically proficient students try to communicate precisely to others. They try to use clear definitions in discussion with others and in their own reasoning. They state the meaning of the symbols they choose, including using the equal sign consistently and appropriately. They are careful about specifying units of measure, and labeling axes to clarify the correspondence with quantities in a problem. They calculate accurately and efficiently, express numerical answers with a degree of precision appropriate for the problem context. In the elementary grades, students give carefully formulated explanations to each other. By the time they reach high school they have learned to examine claims and make explicit use of definitions.
Understand addition and subtraction of fractions as joining and separating parts referring to the same whole.
Compare two fractions with different numerators and different denominators, e.g., by creating common denominators or numerators, or by comparing to a benchmark fraction such as 1/2. Recognize that comparisons are valid only when the two fractions refer to the same whole. Record the results of comparisons with symbols >, =, or <, and justify the conclusions, e.g., by using a visual fraction model.
Compare two fractions with the same numerator or the same denominator by reasoning about their size. Recognize that comparisons are valid only when the two fractions refer to the same whole. Record the results of comparisons with the symbols >, =, or <, and justify the conclusions, e.g., by using a visual fraction model.
Explain equivalence of fractions in special cases, and compare fractions by reasoning about their size.


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