National STEM Standards
STEM.M. MATHEMATICS: National Council of Teachers of Mathematics (NCTM)
NCTM.6. Problem Solving
6.1. Build new mathematical knowledge through problem solving.
6.2. Solve problems that arise in mathematics and in other contexts.
6.3. Apply and adapt a variety of appropriate strategies to solve problems.
NCTM.7. Reasoning and Proof
7.1. Recognize reasoning and proof as fundamental aspects of mathematics.
7.2. Make and investigate mathematical conjectures.
7.3. Develop and evaluate mathematical arguments and proofs.
7.4. Select and use various types of reasoning and methods of proof.
9.2. Understand how mathematical ideas interconnect and build on one another to produce a coherent whole.