1.G.A.1 - About the Math, Learning Targets, and Increasing Rigor

Grade 1 Geometry

1.G.A.1

Full Standard

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.

 

Measurement Topic

This standard is reported on the report card in these quarters as follows:

1st Grade Students Learning 1st Grade Standards
Quarter 1 Quarter 2 Quarter 3 Quarter 4

 

 

 Report Card Measurement Topic: Reasons about shapes and attributes.
Kindergarten Students Learning 1st Grade Standards
Quarter 1 Quarter 2 Quarter 3 Quarter 4

 

 

Report Card Measurement Topic: Demonstrates understanding of measurement concepts.

 

About the Math

Skills and concepts below are learning goals for this standard.

Geometry concepts help students develop spatial sense. Spatial sense is an intuition about shapes and relationships among shapes. Spatial sense includes the ability to visualize objects and see spatial relationships. Students should understand that polygons are closed-figures made with line segments. They should be able to distinguish between polygons and non-polygons. The assorted shapes from Teaching Student-Centered Mathematics, K-2 (Pearson, 2014) are good for sorting activities.

 

  • Explain the difference between defining attributes (e.g., sides, angles, faces) and non-defining attributes (e.g., color, orientations, overall size).

 


 

2-D shapes for instructional focus include squares, rectangles, triangles, and circles. Students should understand the difference between closed and open figures. They should understand that number/type of sides and angles are defining attributes (though they do not necessarily need to specifically state "defining attribute"). They should understand that color, pattern-fill, size, and orientation for example are not defining attributes. Students should be comfortable with these shapes in any orientation and/or size. The standard can be extended to other polygons as needed. Students DO NOT need to memorize/recite the following definitions.  These definitions are provided for accurate teacher understanding for the discussion of defining attributes and/or creation of anchor charts.

  • polygon: a closed, two dimensional shape with three or more straight sides
  • triangle: a polygon with three sides and three angles
  • quadrilateral: a polygon with four sides and four angles
  • rectangle: a polygon with two pairs of parallel sides and four right angles **Note: the definition of a rectangle is NOT two long sides and two short sides.  A square is a rectangle. Please use provided definition**
  • rhombus: a quadrilateral with two pairs of parallel sides and all sides are the same length, a square is rhombus
  • square: a quadrilateral with two pairs of parallel sides, all sides are the same length and four right angles
  • trapezoid: a quadrilateral with one set of parallel lines
  • pentagon: a polygon with five sides and five angles
  • hexagon: a polygon with six sides and six angles
  • octagon: a polygon with eight sides and eight angles

 

3-D shapes for instructional focus include spheres, cones, prisms (including cubes), cylinders, and pyramids. Students do not need to distinguish between rectangular and triangular prisms or pyramids though that may be a needed extension for some students. Students should be able to recognize defining attributes including faces and edges. Note: Cylinders have no edges as edges are line segments joining polygon faces. Faces are flat surfaces. Therefore, cones and cylinders can be considered to have 1 and 2 circular faces respectively. 

 

  • Construct and draw a shape when given defining attributes.

Students leverage their understanding of shares to create examples of those shapes. Keep in mind that student work may be imprecise. Even so, we should be able to recognize the shape. In some cases, it makes good sense to ask students to describe their created shape and its attributes to us. 

 

IMPORTANT NOTE: This standard is not intended to be an exercise in memorization of vocabulary and definitions/attributes. Students should recognize these shapes/figures in their world. They should talk about shapes relative to their given name. We can restate shape/figure names when students are inaccurate or imprecise. Use of graphic organizers, including Frayer models, are wise for making connections among shapes/figures.

 

Progression of Standard within Grade 1

This progression informs how to develop the standard within the grade level. This progression is provided by HCPSS Elementary Mathematics.

Progression Throughout Year
Quarter 1 Quarter 2 Quarter 3 Quarter 4

 

  • Explain the difference between defining attributes (e.g., sides, angles, faces) and non-defining attributes (e.g., color, orientations, overall size).
  • Construct and draw a shape when given defining attributes.

 

Progression of this Standard Across Grades

This progression is informed by the Achieve the Core Coherence Map Links to an external site.. Information is not the complete standard.

Progression Across Grades
Kindergarten Grade 2
  • Analyze and compare two- and three-dimensional shapes (K.G.4)
  • Draw and make models of shapes (K.G.5)
  • Recognize and draw polygons and other figures (2.G.1)

 

Back to Top