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Texas · Texas Math TEKS · Grade 3

3.3(D): Compose and decompose a fraction a/b with a numerator greater than…

Compose and decompose a fraction a/b with a numerator greater than zero and less than or equal to b as a sum of parts 1/b.

The Texas Essential Knowledge and Skills (TEKS) for Mathematics outcome 3.3(D) (Number and operations) for Grade 3 says: “Compose and decompose a fraction a/b with a numerator greater than zero and less than or equal to b as a sum of parts 1/b.” This Fieldbook unit teaches it hands-on, with everyday materials and a printable teacher guide and student sheet for every lesson. Official wording: Texas Essential Knowledge and Skills (TEKS) for Mathematics.

Fair Shares: Fractions and Decimals Grades 3–4

Is half always the same size? Where does three-quarters stand? Why is 3/4 + 2/4 not 5/8? Who jumped further, 1.4 m or 1.35 m? Four hands-on lessons where students fold, stand on a giant number line, measure recipes and measure their own jumps to make sense of fractions and decimals.

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    Teams measure three trail-mix recipes with fraction cups and dry rice, and find that 3/4 cup plus 2/4 cup overflows the 1-cup mark. Students add and decompose fractions with the same denominator, catch the 'add the bottoms too' mistake with real evidence, and compare totals greater than one.

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