# Standards for the lesson planGeometry: Helix-a-Graph

These standards and benchmarks are from McREL's online database, Content Knowledge: A Compendium of Standards and Benchmarks for K-12 education (4th edition, 2004) (http://www.mcrel.org/standards-benchmarks/.) The mathematics portion of the database was developed using National Council of Teachers of Mathematics (NCTM) standards in addition to other nationally recognized standards documents.

Standard 1:  Uses a variety of strategies in the problem-solving process

Benchmark 1: Uses a variety of strategies (e.g., identify a pattern, use equivalent representations) to understand new mathematical content and to develop more efficient solution methods or problem extensions

Benchmark 4: Constructs logical verifications or counter examples to test conjectures and to justify algorithms and solutions to problems (i.e., uses deductive reasoning)

Standard 5:  Understands and applies basic and advanced properties of the concepts of geometry

Benchmark 11: Uses properties of and relationships among figures to solve mathematical and real-world problems

Standard 9:  Understands the general nature and uses of mathematics

Benchmark 6: Understands that science and mathematics operate under common principles: belief in order, ideals of honesty and openness, the importance of review by colleagues, and the importance of imagination

Benchmark 7: Understands that mathematics provides a precise system to describe objects, events, and relationships and to construct logical arguments

Benchmark 10: Understands that mathematicians commonly operate by choosing an interesting set of rules and then playing according to those rules; the only limit to those rules is that they should not contradict each other