Elastic Geometric Models

Math: Geometry

Pre-K-12: Instructional programs from Pre-Kindergarten through grade 12 should enable all students to analyze characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical arguments about geometric relationships.

• In Pre-Kindergarten through grade 2, all students should recognize, name, build, draw, compare and sort two- and three-dimensional shapes.
• In grades 3-5, all students should identify, compare, and analyze attributes of two- and three-dimensional shapes and develop vocabulary to describe the attributes.
• In grades 6-8, all students should understand relationships among the angles, side lengths, perimeters, areas and volumes of similar objects.
• In grades 9-12, all students should use trigonometric relationships to determine lengths and angle measures.

Pre-K-12: Instructional programs from Pre-Kindergarten through grade 12 should enable all students to use visualization, spatial reasoning and geometric modeling to solve problems.

• In Pre-Kindergarten through grade 2, all students should recognize geometric shapes and structures in the environment and specify their location.
• In grades 3-5, all students should use geometric models to solve problems in other areas of mathematics, such as number and measurement.
• In grades 6-8, all students should recognize and apply geometric ideas and relationships in areas outside the mathematics classroom, such as art, science and everyday life.
• In grades 9-12, all students should visualize three-dimensional objects and spaces from different perspectives and analyze their cross sections.

Standards are listed with permission from Principles and Standards for School Mathematics, copyright 2000 by the National Council of Teachers of Mathematics (NCTM). NCTM does not endorse the content or validity of these alignments.

Source: Principles and Standards for School Mathematics