Ordering fractions

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• Research and Supports
• Lessons
• Transcripts

Ordering refers to the process of determining the relative size of a number of fractions by placing them in order from smallest to largest or largest to smallest. Students used their understanding of fractions to compare and order fractions in a variety of manners. Ordering fractions on a number line requires students to consider the magnitude of the fraction in comparison to whole numbers, benchmark fractions, and the other fractions they have placed on their number line. This relative comparison engages students in reasoning and proving with each successive placement, allowing them to correct previous errors as necessary.

Research Findings:
In the fractions research project, students who developed a deep conceptual understanding of fractions and flexible processes for comparing fractions were able to successfully order fractions on the number line using a variety of strategies. This extended to decimals, percents, and mixed numbers.