Students need extensive experiences with concrete and pictorial models of fractions to develop a deep conceptual understanding. Developing a sense of the relationship fractions have to benchmarks, such as 1/2 and 1 whole, enable students to reason with fractions.
This activity combines practice identifying the relative size of fractions compared to benchmarks with graphing. Equivalent fractions are also emphasized. Math talk cards are included to facilitate both oral and written mathematical communications.
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Common Core Alignment
3.NF.1—Understand a fraction 1/b as the quantity formed by 1 part when a whole is partitioned into b equal parts; understand a fraction a/b as the quantity formed by a parts of size 1/b.
3.NF.3a—Understand two fractions as equivalent (equal) if they are the same size, or the same point on a number line.
3.NF.3b—Recognize and generate simple equivalent fractions, e.g., 1/2 = 2/4, 4/6 = 2/3. Explain why the fractions are equivalent, e.g., by using a visual fraction model.
3.NF.3c—Express whole numbers as fractions, and recognize fractions that are equivalent to whole numbers. Examples: Express 3 in the form 3 = 3/1; recognize that 6/1 = 6; locate 4/4 and 1 at the same point of a number line diagram.
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