3.3(G): Explain that two fractions are equivalent if and only if they are…
Explain that two fractions are equivalent if and only if they are both represented by the same point on the number line or represent the same portion of a same size whole for an area model.
The Texas Essential Knowledge and Skills (TEKS) for Mathematics outcome 3.3(G) (Number and operations) for Grade 3 says: “Explain that two fractions are equivalent if and only if they are both represented by the same point on the number line or represent the same portion of a same size whole for an area model.” 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.
- Where does three-quarters stand? 50–60 min
The class builds a giant number line from 0 to 2 on the playground, and each student stands where their fraction card belongs. Students discover that 1/2, 2/4 and 4/8 all stand on the same spot, and explain fractions as numbers with a place on the line, equivalent fractions and how to compare fractions with benchmarks.
More Texas Grade 3 math outcomes we teach
Every Texas Grade 3 math standards outcome we teach
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