(Numbers and Operations > Relationships Among Numbers > Comparing and Ordering Numbers)
In the new document, Comparing and Ordering Rational Numbers, students use equivalent forms of fractions, decimals, and percents as well as employ common benchmarks such as one-half to help them compare and order rational numbers. The lesson begins with its focus on the benchmark of one half in fraction, decimal, and percent form as a tool for making comparisons. Thus by identifying whether given values are greater than, less than, or equal to one half, many rationals can easily be compared.
As students progress through the document, they are continually reminded in the detailed solutions to apply use of benchmarks when possible. When not possible, rationals are converted to similar forms for comparison. Pages 6-8 specifically compare each of the forms while pages 9-10 challenge students to work with a variety of forms to order a group of four rational numbers.
In working through this lesson, it is assumed students know the process of converting fractions to decimals and to equivalent fractions, nevertheless detailed solutions remind students of some of the processes.