Geometry

  High School

• Properties and attributes of two- and three-dimensional objects
• Congruence and similarity among classes of two- and three-dimensional geometric objects
• establish the validity of geometric conjectures
• Trigonometric relationships to determine lengths and angle measures
• Cartesian coordinates
• Coordinate systems - navigational, polar, or spherical
• Two- and three-dimensional objects represented with Cartesian coordinates
• Translations, reflections, rotations, and dilations of objects
• Simple transformations and their compositions
• Representations of two- and three-dimensional geometric objects
• Visualize three-dimensional objects and spaces
• Cross sections of three-dimensional objects
• Vertex-edge graphs
• Geometric models in other areas of mathematics

  Middle School

• Types of two- and three-dimensional objects and their properties
• Angles, side lengths, perimeters, areas, and volumes of similar objects
• Congruence, similarity, and the Pythagorean relationship
• Properties of geometric shapes using coordinate geometry
• Special geometric shapes such as regular polygons
• Transformations such as flips, turns, slides, and scaling
• Congruence, similarity, and line or rotational symmetry
• Draw geometric objects with specified properties
• Two-dimensional representations of three-dimensional objects
• Problems involving surface area and volume
• Visual tools such as networks
• Geometric models explain numerical and algebraic relationships
• Explore math outside the classroom, such as art, science, and everyday life

  Elementary School

• Two- and three-dimensional shapes - attributes
• Properties of two- and three-dimensional shapes
• Classification of two- and three-dimensional shapes
• Subdividing, combining, and transforming shapes
• Congruence and similarity
• Geometric properties and relationships
• Location and movement
• Coordinate systems to specify locations and to describe paths
• Distance between points
• Sliding, flipping, and turning two-dimensional shapes
• Rotational symmetry in two- and three-dimensional shapes and designs
• Build and draw geometric objects
• Identify and build a three-dimensional object from two-dimensional representations of that object
• Geometric models to solve problems
• Geometric ideas and relationships