4. Recognize fractions that are equivalent to whole numbers (C)
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Lesson objective: Understand that equivalent fractions for whole numbers can be represented on a number line. Recognize equivalent fractions for whole numbers on a number line.
Students bring prior knowledge of recognizing fractions on a number line from 3.NF.A.1. This prior knowledge is extended to recognizing equivalent fractions for whole numbers as students use fractions to name whole numbers on a number line. A conceptual challenge students may encounter is understanding that different numbers may name the same location on a number line.
The concept is developed through work with a number line, which supports the concept of a fraction as a number.
This work helps students deepen their understanding of equivalence because equivalent fractions name the same position on a number line.
Students engage in Mathematical Practice 4 (model with mathematics) as they represent fractions on a number line and with numbers. Students count by unit fractions to determine equivalent fractions for whole numbers on the number line.
Key vocabulary:
 equivalent
 number line
 partition
 unit fraction
 position