Common Core State Standards for Mathematics
Standards for Mathematical Practice
Reason abstractly and quantitatively.
Construct viable arguments and critique the reasoning of others.
Look for and express regularity in repeated reasoning.
High School - Functions
Build a function that models a relationship between two quantities
Write arithmetic and geometric sequences both recursively and with an explicit formula, use them to model situations, and translate between the two forms.
Ohio Mathematics Academic Content Standards (2001)
Mathematical Processes Standard
Apply reasoning processes and skills to construct logical verifications or counter-examples to test conjectures and to justify and defend algorithms and solutions.
Construct algorithms for multi-step and non-routine problems.
Construct logical verifications or counter-examples to test conjectures and to justify or refute algorithms and solutions to problems.
Select and use various types of reasoning and methods of proof.
Principles and Standards for School Mathematics
Problem Solving Standard
Build new mathematical knowledge through problem solving
Reasoning and Proof Standard
Recognize reasoning and proof as fundamental aspects of mathematics