Geometry Standard

 

NCTM Principles and Standards for School Mathematics

 

 

ÒInstructional programs from prekindergarten through grade 12 should enable all students to –Ó

                                                                                                                                                                  NCTM p. 41

 

 

á      Analyze characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical arguments about geometric relationships.

 

 

 

á      Specify locations and describe spatial relationships using coordinate geometry and other representational systems.

 

 

 

á      Apply transformations and use symmetry to analyze mathematical situations.

 

 

 

á      Use visualization, spatial reasoning, and geometric modeling to solve problems.

 

Pre-K – 2

á create mental images of geometric shapes using spatial memory and spatial visualization

á recognize and represent shapes from different perspectives

á relate ideas in geometry to ideas in number and measurement

á recognize geometric shapes and structures in the environment and specify their location

 

3 – 5

á build and draw geometric objects

á create and describe mental images of objects, patterns, and paths

á identify and build a three-dimensional object from two-dimensional representations of that object

á identify and build a two-dimensional representation of a three-dimensional object

á use geometric models to solve problems in other areas of mathematics, such as number and measurement

á recognize geometric ideas and relationships and apply them to other disciplines and to problems that arise in the classroom or in everyday life

 

6 – 8

á draw geometric objects with specified properties, such as side lengths or angle measures

á use two-dimensional representations of three-dimensional objects to visualize and solve problems such as those involving surface area and volume

á use visual tools such as networks to represent and solve problems

á use geometric models to represent and explain numerical and algebraic relationships

á recognize and apply geometric ideas and relationships in areas outside the mathematics classroom, such as art, science, and everyday life

 

9 – 12

á draw and construct representations of two- and three-dimensional geometric objects using a variety of tools

á visualize three-dimensional objects from different perspectives and analyze their cross sections

á use vertex-edge graphs to model and solve problems

á use geometric models to gain insights into, and answer questions in, other areas of mathematics

á use geoemtric ideas to solve problems in, and gain insights into, other disciplines and other areas of interest such as art and architecture

 

 

 

 

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