CCSS.Math.Practice.MP1 -- Make sense of problems and persevere in solving them.

Mathematically proficient students start by explaining to themselves the meaning of a problem and looking for entry points to its solution.

CCSS.Math.Practice.MP2 -- Reason abstractly and quantitatively.

Mathematically proficient students make sense of quantities and their relationships in problem situations.

CCSS.Math.Practice.MP3 -- Construct viable arguments and critique the reasoning of others.

Mathematically proficient students understand and use stated assumptions, definitions, and previously established results in constructing arguments.

CCSS.Math.Practice.MP4 -- Model with mathematics.

Mathematically proficient students can apply the mathematics they know to solve problems arising in everyday life, society, and the workplace.

CCSS.Math.Practice.MP5 -- Use appropriate tools strategically.

Mathematically proficient students consider the available tools when solving a mathematical problem.

CCSS.Math.Practice.MP6 -- Attend to precision.

Mathematically proficient students try to communicate precisely to others.

CCSS.Math.Practice.MP7 -- Look for and make use of structure.

Mathematically proficient students look closely to discern a pattern or structure.

CCSS.Math.Practice.MP8 -- Look for and express regularity in repeated reasoning.

Mathematically proficient students notice if calculations are repeated, and look both for general methods and for shortcuts.