Principles and Standards for School Mathematics
Number and Operations Standard
Understand numbers, ways of representing numbers, relationships among numbers, and number systems
Expectations (6 - 8)
work flexibly with fractions, decimals, and percents to solve problems;
Compute fluently and make reasonable estimates
Expectations (3 - 5)
use visual models, benchmarks, and equivalent forms to add and subtract commonly used fractions and decimals;
Expectations (6 - 8)
work flexibly with fractions, decimals, and percents to solve problems;
select appropriate methods and tools for computing with fractions and decimals from among mental computation, estimation, calculators or computers, and paper and pencil, depending on the situation, and apply the selected methods;
Solve problems that arise in mathematics and in other contexts
Apply and adapt a variety of appropriate strategies to solve problems
Monitor and reflect on the process of mathematical problem solving
Organize and consolidate their mathematical thinking through communication
Communicate their mathematical thinking coherently and clearly to peers, teachers, and others
Analyze and evaluate the mathematical thinking and strategies of others;