The Common Core State Standards Initiative is an educational initiative from 2010 that details what K–12 students throughout the United States. The Common Core concentrates on a clear set of math skills and concepts. Students will learn concepts in a more organized way both during the school year and across grades. The standards encourage students to solve real-world problems.

The Standards for Mathematical Practice describe varieties of expertise thatmathematics educators at all levels should seek to develop in their students. These practices rest on important “processes and proficiencies” with longstandingimportance in mathematics education. The first of these are the NCTM processstandards of problem solving, reasoning and proof, communication, representation,and connections. The second are the strands of mathematical proficiency specifiedin the National Research Council’s report Adding It Up: adaptive reasoning, strategiccompetence, conceptual understanding (comprehension of mathematical concepts,operations and relations), procedural fluency (skill in carrying out proceduresflexibly, accurately, efficiently and appropriately), and productive disposition (Habitual inclination to see mathematics as sensible, useful, and worthwhile, coupledwith a belief in diligence and one’s own efficacy).

- Make sense of problems and persevere in solving them.
- Reason abstractly and quantitatively.
- Construct viable arguments and critique the reasoning of others.
- Model with mathematics.
- Use appropriate tools strategically.
- Attend to precision.
- Look for and make use of structure.
- Look for and express regularity in repeated reasoning.