Principles and Standards for School Mathematics
Understand patterns, relations, and functions
Expectations (6 - 8)
represent, analyze, and generalize a variety of patterns with tables, graphs, words, and, when possible, symbolic rules;
Analyze characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical arguments about geometric relationships
Expectations (3 - 5)
make and test conjectures about geometric properties and relationships and develop logical arguments to justify conclusions.
Expectations (6 - 8)
create and critique inductive and deductive arguments concerning geometric ideas and relationships, such as congruence, similarity, and the Pythagorean relationship.