Familiar figures, such as parallelograms, rhombuses, squares, and trapezoids, were defined in earlier grades. By Grade 4, students gained an understanding of shapes beyond the intuitive level. Grade 5 extends this understanding through an in-depth analysis of the properties and defining attributes of quadrilaterals. Grade 4’s work with the protractor is applied in this topic to construct various quadrilaterals.
Using measurement tools illuminates the attributes used to define and recognize each quadrilateral (5.G.3). Students see, for example, that the same process they used to construct a parallelogram also produces a rectangle when all angles are constructed to measure 90°. Students then analyze defining attributes and create a hierarchical classification of quadrilaterals (5.G.4).
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