Unit 1, Lesson 12# Fractions of Shapes, Day 1 (Halves and Fourths)

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The partitioning of squares into halves and fourths, as well as the idea that equal shares of the same whole need not be the same shape, are the central tenets of standard 2.G.3. When proving that two shares of different shapes are indeed equal, students must reason abstractly, perhaps making use of visual models. Partition rectangles into two and four equal pieces, noticing that equal shares do not need to be the same shape. Partition circles and rectangles into two, three, or four equal shares, describe the shares using the words halves, thirds, half of, a third of, etc., and describe the whole as two halves, three thirds, four fourths.