Primary Standards:
MAFS.1.G.1.1 Distinguish between defining attributes (e.g. triangles are closed and three-sided) vs. non-defining attributes (e.g. color, orientation, overall size); build and draw shapes to possess defining attributes.
MAFS.1.G.1.2 Compose two-dimensional shapes (rectangles, squares, trapezoids, triangles, half-circles, and quarter-circles) or three-dimensional shapes (cubes, right rectangular prisms, right circular cones, and right circular cylinders) to create a composite shape.
Connecting Standards:
MAFS.1.G.1.3 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.
Content Knowledge:
Most students can identify basic shapes such as circles, squares, triangles, and rectangles, however, many of them identify these shapes based solely on appearance. True understanding of these shapes means children must know the attributes of these shapes. First grade students examine attributes of two-dimensional and three-dimensional shapes and begin to realize certain attributes must always be present. The also recognize that attributes like color, size, and orientation to not define a shape.
First grade students demonstrate their understanding of shapes by creating models by drawing (2-D) or building (2-D & 3-D), based on specific attributes. Depending on the shapes and the configuration, several different composite shapes may be composed. For example, four squares could be arranged to compose a larger square or arranged to compose a rectangle. Cubes could be composed to form a larger cube or stacked to form a rectangular prism. Through hands-on explorations, students continue to refine their understanding of shapes and hone their spatial skills.
GCG 1 – Learning Goal: As a Mathematician, I will be able to Understand Attributes of Two-Dimensional Shapes
- Step 1: Use defining and non-defining attributes to describe Two-Dimensional Shapes
- Step 2: Use defining attributes to name Two-Dimensional Shapes
- Step 3: Use concrete tools or drawings to construct a two-dimensional shape using defining attributes
GCG 2 – Learning Goal: As a Mathematician, I will be able to Compose Two-Dimensional Shapes
- Step 1: Create Composite Shapes from Two-Dimensional Shapes using concrete tools or drawings
- Step 2: Identify Two-Dimensional Shapes that are used to create a Composite Shape
GCG 3 – Learning Goal: As a Mathematician, I will be able to Understand Attributes of Three-Dimensional Shapes
- Step 1: Use defining and non-defining attributes to describe Three-Dimensional Shapes
- Step 2: Use defining attributes to name Three-Dimensional Shapes
GCG 4 – Learning Goal: As a Mathematician, I will be able to Compose Three-Dimensional Shapes