Colorado Academic Standards Online
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clear Content Area: Mathematics - 2019 // Grade Level: Preschool // Standard Category: 4. Geometry
Mathematics - 2019
Preschool, Standard 4. Geometry
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Prepared Graduates:
- MP3. Construct viable arguments and critique the reasoning of others.
Preschool Learning and Development Expectation:
P.G.A. Geometry: Identify, describe, compare, and compose shapes.
Indicators of Progress:
By the end of the preschool experience (approximately 60 months/5 years old) students may:
- Name and describe shapes in terms of length of sides, number of sides, and number of angles/corners.
- Correctly name basic shapes (circle, square, rectangle, triangle) regardless of size and orientation.
- Analyze, compare, and sort two-and three-dimensional shapes and objects in different sizes. Describe their similarities, differences, and other attributes, such as size and shape.
- Compose simple shapes to form larger shapes.
Examples of High-Quality Teaching and Learning Experiences:
Supportive Teaching Practices/Adults May:
- Use a sensory table with various bowls, cups, or other containers to encourage activities with shapes and sorting.
- Provide children with puzzles made of simple geometric shapes and encourage saying the names of shapes as they play.
- Discuss geometric shapes in terms of their attributes, such as “This is a circle. It’s perfectly round with no bumps or corners. This is a triangle. It has three sides and three angles.”
- Use a variety of lengths and angles in their shapes (such as scalene triangles, long and thin rectangles) as well as more common configurations of shapes (such as equilateral triangles).
Examples of Learning/Children May:
- Match, sort, group, and name basic shapes found outside or in the classroom.
- Use pattern tiles to make shapes out of other shapes, such as putting two squares side-by-side to make a non-square rectangle.
- Put away blocks and/or tiles into different containers based on the number or length of sides.
Coherence Connections:
- This expectation is in addition to the major work of the grade.
- Between \(36\)–\(60\) months, children start by recognizing circles and squares and then add triangles and other shapes. As understanding of shape develops, children identify sides and angles as distinct parts of shapes.
- In preschool, this expectation connects with measuring and comparing objects by their attributes.
- In kindergarten, students identify and describe squares, circles, triangles, rectangles, hexagons, cubes, cones, cylinders, and spheres.
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Prepared Graduates:
- MP6. Attend to precision.
Preschool Learning and Development Expectation:
P.G.B. Geometry: Explore the positions of objects in space.
Indicators of Progress:
By the end of the preschool experience (approximately 60 months/5 years old) students may:
- Understand and use language related to directionality, order, and the position of objects, including up/down and in front/behind.
- Correctly follow directions involving their own position in space, such as "Stand up" and "Move forward."
Examples of High-Quality Teaching and Learning Experiences:
Supportive Teaching Practices/Adults May:
- Provide opportunities for conversation using everyday words to indicate space location, shape, and size of objects, saying things like, "You crawled under the picnic table, over the tree stump, and now you are in the tunnel slide!"
- Help children organize toys, pointing out concepts such as “in,” “on,” and “beside.”
Examples of Learning/Children May:
- Use the vocabulary of geometry and position to describe shapes within the room and surrounding environment.
- Understand relational directions, such as “Please put a mat under each plate.”
Coherence Connections:
- This expectation is in addition to the major work of the grade.
- Between \(36\)–\(60\) months, students develop spatial vocabulary and become able to follow directions involving their own position in space.
- In preschool and early elementary, students work with shapes and their attributes in increasingly sophisticated ways over time.
- In kindergarten, students describe objects in the environment using names of shapes and describe the relative positions of these objects using terms such as above, below, in front of, behind, and next to.
Need Help? Submit questions or requests for assistance to bruno_j@cde.state.co.us