In grades 6-8 all students should
- NM-GEO.6-8.1: Analyze characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical arguments about geometric relationships
- NM-GEO.6-8.2: Specify locations and describe spatial relationships using coordinate geometry and other representational systems
- NM-GEO.6-8.3:Apply transformations and use symmetry to analyze mathematical situations
- NM-GEO.6-8.4: Use visualization, spatial reasoning, and geometric modeling to solve problems
|
Analyze characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical arguments about geometric relationships
- precisely describe, classify, and understand relationships among types of two- and three-dimensional objects using their defining properties;
- understand relationships among the angles, side lengths, perimeters, areas, and volumes of similar objects;
- create and critique inductive and deductive arguments concerning geometric ideas and relationships, such as congruence, similarity, and the Pythagorean relationship.
[Source]
|
Specify locations and describe spatial relationships using coordinate geometry and other representational systems
- use coordinate geometry to represent and examine the properties of geometric shapes;
- use coordinate geometry to examine special geometric shapes, such as regular polygons or those with pairs of parallel or perpendicular sides.
[Source]
|
Apply transformations and use symmetry to analyze mathematical situations
- describe sizes, positions, and orientations of shapes under informal transformations such as flips, turns, slides, and scaling;
- examine the congruence, similarity, and line or rotational symmetry of objects using transformations.
[Source]
|
Use visualization, spatial reasoning, and geometric modeling to solve problems
- draw geometric objects with specified properties, such as side lengths or angle measures;
- use two-dimensional representations of three-dimensional objects to visualize and solve problems such as those involving surface area and volume;
- use visual tools such as networks to represent and solve problems;
- use geometric models to represent and explain numerical and algebraic relationships;
- recognize and apply geometric ideas and relationships in areas outside the mathematics classroom, such as art, science, and everyday life.
[Source]
|
|
