apply mathematics to problems arising in everyday life, society, and the workplace;
use a problem-solving model that incorporates analyzing given information, formulating a plan or strategy, determining a solution, justifying the solution, and evaluating the problem-solving process and the reasonableness of the solution;
select tools, including real objects, manipulatives, paper and pencil, and technology as appropriate, and techniques, including mental math, estimation, and number sense as appropriate, to solve problems;
communicate mathematical ideas, reasoning, and their implications using multiple representations, including symbols, diagrams, graphs, and language as appropriate;
create and use representations to organize, record, and communicate mathematical ideas;
analyze mathematical relationships to connect and communicate mathematical ideas; and
display, explain, and justify mathematical ideas and arguments using precise mathematical language in written or oral communication.