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| Why are shapes important in our lives? |
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| In first grade students continue to need many opportunities to explore geometry concepts. They draw, build, and talk while making connections to real-world application of shapes. They learn to distinguish between which attributes define a shape, e.g., sides, corners (i.e., what makes a square a square) and which attributes may describe it, but do not define it, e.g., size, color, orientation. They experience that different orientations of a shape do not make it a different shape. They explore triangles to see that they can take many different forms depending on the length of the sides. Students build an understanding of part-whole relationships by combining shapes to form composite shapes and by partitioning shapes into equal shares. Integral to all of these experiences are discussions that reveal students’ reasoning and the use of precise mathematical language. |
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| 1.G.A. Reason with shapes and their attributes. 1.G.A.1. Distinguish between defining attributes (e.g., triangles are closed and three-sided) versus non-defining attributes (e.g., color, orientation, overall size) ; build and draw shapes to possess defining attributes. Students do not need to learn formal names such as “right rectangular prism.” 1.G.A.3. Partition circles and rectangles into two and four equal shares, describe the shares using the words halves, fourths, and quarters, and use the phrases half of, fourth of, and quarter of. Describe the whole as two of, or four of the shares. Understand for these examples that decomposing into more equal shares creates smaller shares. © Copyright 2010. National Governors Association Center for Best Practices and Council of Chief State School Officers. All rights reserved. | |
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| - What are the attributes of various closed shapes?
- What are the attributes of various three-dimensional shapes?
- What shapes can you make by composing or decomposing squares, triangles, rectangles, trapezoids, hexagons and circles?
- How are 2-dimensional and 3-dimensional shapes alike and how are they different?
- How can you share a sandwich (with square bread) with a friend so that you will both have the same amount?
| 2-dimensional shapes 3-dimensional shapes angle base closed figure composite shape congruence corner defining attributes face fourths halves non-defining attributes partition polygon quarters shape side vertex whole |
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| | Standards for Mathematical Practice Students will have opportunities to: - attend to precision when describing attributes of a shape;
- construct viable arguments and critique the reasoning of others when justifying a claim about a shape;
- look for and express regularity in repeated reasoning when recognizing that the name of the shape remains the same; regardless of its size, its orientation and what other shapes have been combined in order to create it;
- look for and make use of structure when identifying a shape as defined by its attributes; and
- model with mathematics when composing and partitioning shapes.
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