Description
Build Conceptual Understanding of Fractions — Beyond Tricks and Shortcuts!
This activity is a powerful way to teach fifth and sixth graders how fractions truly work, moving beyond rote memorization and “tricks” like the butterfly method. Students develop conceptual understanding and learn to reason about the size of fractions. While shortcuts have their place, conceptual understanding must come first.
What’s included: There are two different kinds of practice sets, each containing a set-A and set-B.
- The first kind of activity, set-A and set-B, contains 24 cards each. Each set is a carefully chosen fraction pair for comparison. Each fraction pair is designed to maximize learning opportunities and reveal mathematical patterns. This is a card sorting activity that introduces students to each of the six strategies for fraction comparison.
- The second kind of activity reveals very clearly to students why the "butterfly method," as a comparing strategy alone, will ultimately fail them. In each set, set-A and set-B, students are given up to 12 fraction cards each to be arranged in order from least to greatest.
- Posters: Printable, cut-and-laminate classroom posters, will help students remember the six comparison strategies. For best results, use your printer’s “borderless” printer setting.
Why this works:
- Below, I will share two of the six strategies for fraction comparison. Students can approach the activity from multiple entry points. For example, some may not yet be ready to use decimals and will sort cards differently than their peers.
- Common numerators as a strategy is too often overlooked. Students learn to reason that 3/5 > 3/8 because fifths are larger than eighths. In basketball, for example, the player who can shoot 3 out of 5 did better than the player who shot 3 out of 8 opportunities.
- Decimal conversion is typically introduced in sixth grade, but even my fifth graders can easily convert simple fractions (halves, thirds, fourths, fifths, and sometimes sixths) to decimals. For example, 3/10 < 1/3 because 0.30 < 0.33.
This activity equips students with six robust strategies for comparing fractions, building deep conceptual understanding and stronger mathematical reasoning. It’s a flexible, engaging, and effective tool for any upper-elementary classroom.
This file is not editable.
Highlights
Description
Build Conceptual Understanding of Fractions — Beyond Tricks and Shortcuts!
This activity is a powerful way to teach fifth and sixth graders how fractions truly work, moving beyond rote memorization and “tricks” like the butterfly method. Students develop conceptual understanding and learn to reason about the size of fractions. While shortcuts have their place, conceptual understanding must come first.
What’s included: There are two different kinds of practice sets, each containing a set-A and set-B.
- The first kind of activity, set-A and set-B, contains 24 cards each. Each set is a carefully chosen fraction pair for comparison. Each fraction pair is designed to maximize learning opportunities and reveal mathematical patterns. This is a card sorting activity that introduces students to each of the six strategies for fraction comparison.
- The second kind of activity reveals very clearly to students why the "butterfly method," as a comparing strategy alone, will ultimately fail them. In each set, set-A and set-B, students are given up to 12 fraction cards each to be arranged in order from least to greatest.
- Posters: Printable, cut-and-laminate classroom posters, will help students remember the six comparison strategies. For best results, use your printer’s “borderless” printer setting.
Why this works:
- Below, I will share two of the six strategies for fraction comparison. Students can approach the activity from multiple entry points. For example, some may not yet be ready to use decimals and will sort cards differently than their peers.
- Common numerators as a strategy is too often overlooked. Students learn to reason that 3/5 > 3/8 because fifths are larger than eighths. In basketball, for example, the player who can shoot 3 out of 5 did better than the player who shot 3 out of 8 opportunities.
- Decimal conversion is typically introduced in sixth grade, but even my fifth graders can easily convert simple fractions (halves, thirds, fourths, fifths, and sometimes sixths) to decimals. For example, 3/10 < 1/3 because 0.30 < 0.33.
This activity equips students with six robust strategies for comparing fractions, building deep conceptual understanding and stronger mathematical reasoning. It’s a flexible, engaging, and effective tool for any upper-elementary classroom.
This file is not editable.
