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2.G.A.1 Recognize and draw shapes having specified attributes, such as a given number of angles or a given number of equal faces. Identify triangles, quadrilaterals, pentagons, hexagons, and cubes. (Sizes are compared directly or visually, not compared by measuring.) Unpacked The difference between this standard and previous standards in the earlier grades is the attribute of "angle" being mentioned for the first time, as well as the language of "face". In addition, students are now expected to know the vocabulary of "quadrilateral" and "pentagon". Since this standard is similar to previous ones, what is different is how an older child might approach the old material differently. For instance, children should begin forming a more organized manner of categorizing shapes according to their attributes, and they should be able to articulate more clearly the attributes that define shapes. Students continue to use models and drawings of shapes. They begin to see these individual shapes as representatives of classes of shapes. Their understanding of the properties of shapes, such as symmetry, perpendicular and parallel lines, and so on, continues to be refined. The identification of properties is an important cognitive activity (Yu, Barrett, & Presmeg, 2009). This standard begins to encourage conjecture. The emphasis is on logical reasoning. “If a quadrilateral has 4 sides and 4 angles, then a square must be a quadrilateral.” NOTE: In the U.S., the term “trapezoid” may have two different meanings. Research identifies these as inclusive and exclusive definitions. The inclusive definition states: A trapezoid is a quadrilateral with at least one pair of parallel sides. The exclusive definition states: A trapezoid is a quadrilateral with exactly one pair of parallel sides. With this definition, a parallelogram is not a trapezoid. (Progressions for the CCSSM: Geometry, The Common Core Standards Writing Team, June 2012.) Quadrilaterals Listening Level 2 Emerging Recognize and draw shapes having specified attributes, such as a given number of angles or a given number of equal faces by locating or drawing shapes described orally in two – to three step descriptions. Level 3 Developing Recognize and draw shapes having specified attributes, such as a given number of angles or a given number of equal faces by locating or drawing shapes described orally in multi-step descriptions. Level 4 Expanding Recognize and draw shapes having specified attributes, such as a given number of angles or a given number of equal faces by identifying or drawing shapes using detailed oral descriptions. Level 5 Bridging Recognize and draw shapes having specified attributes, such as a given number of angles or a given number of equal faces by identifying or drawing shapes expressed with gradelevel content – specific vocabulary. ELD Standard: English Language Learners communicate information, ideas, and concepts necessary for academic success in the content area of Mathematics. Level 6 Reaching Level 1 Entering Recognize and draw shapes having specified attributes, such as a given number of angles or a given number of equal faces by pointing to or drawing shapes described orally in onestep phrases.