2020 Colorado Academic Standards

2020 Colorado Academic Standards Online

Use the options below to create customized views of the 2020 Colorado Academic Standards. For all standards resources, see the Office of Standards and Instructional Support.

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clear Content Area: Mathematics // Grade Level: First Grade // Standard Category: 4. Geometry


First Grade, Standard 4. Geometry

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More information icon Prepared Graduates:

  • MP1. Make sense of problems and persevere in solving them.
  • MP2. Reason abstractly and quantitatively.
  • MP3. Construct viable arguments and critique the reasoning of others.
  • MP7. Look for and make use of structure.

More information icon Grade Level Expectation:

1.G.A. Geometry: Reason with shapes and their attributes.

More information icon Evidence Outcomes:

Students Can:

  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. (CCSS: 1.G.A.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, and compose new shapes from the composite shape. (Students do not need to learn formal names, such as "right rectangular prisms.") (CCSS: 1.G.A.2)
  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. (CCSS: 1.G.A.3)

More information icon Academic Contexts and Connections:

More information icon Colorado Essential Skills and Mathematical Practices:

  1. Demonstrate flexibility, imagination, and inventiveness in composing two-dimensional and three-dimensional shapes to create composite shapes. (Entrepreneurial Skills: Informed Risk Taking)
  2. Sort, classify, build, or draw shapes in terms of defining attributes versus non-defining attributes. (MP1)
  3. Determine how to partition a given circle or rectangle into two and four equal shares and describe the whole in terms of equal shares. (MP2)
  4. Justify whether a shape belongs in a given category by differentiating between defining attributes and non-defining attributes. (MP3)
  5. Analyze how composite shapes can be formed by, or decomposed into, basic shapes. (MP7)

More information icon Inquiry Questions:

  1. Which properties of shapes are most important when you decide if a shape belongs in a group with other shapes?
  2. What kinds of objects can you find in your school or home that are made up of two or more different shapes being put together?
  3. In how many different ways can you create two or four equal shares in a rectangle?

More information icon Coherence Connections:

  1. This expectation is an addition to the major work of the grade.
  2. In kindergarten, students identify, describe, analyze, compare, create, and compose shapes (squares, circles, triangles, rectangles, hexagons, cubes, cones, cylinders, and spheres).
  3. In Grade 2, students recognize and draw shapes having specified attributes and partition circles and rectangles into two, three, or four equal shares. In Grade 3, students develop understanding of fractions as numbers.

Need Help? Submit questions or requests for assistance to bruno_j@cde.state.co.us