Grade 7 - Number
Standard 7.N.3 - Compare and sort rational numbers, arranging them in order from least to greatest or greatest to least.
Included Skills: Fractions
Demonstrate an understanding of the relationships between positive decimals, positive fractions (including mixed numbers, proper fractions and improper fractions), and whole numbers. • Predict the decimal representation of a fraction based upon patterns and justify the reasoning (e.g., knowing the decimal equivalent of 1/8 and 2/8, predict and verify the decimal representation of 7/8). • Match a set of fractions to their decimal representations. • Sort a set of fractions into repeating or terminating decimals. • Explain and demonstrate how any terminating decimal can also be written as a repeating decimal. • Express a fraction as a terminating or repeating decimal. • Express a repeating decimal as a fraction. • Express a terminating decimal as a fraction. • Explain the relationship between fractions, decimals, and division. • Provide an example where the decimal representation of a fraction is an approximation of its exact value. • Order a set of numbers containing decimals, fractions, and/or whole numbers in ascending or descending orders and justify the order determined. • Identify, with justification, a number that would be between two given numbers (decimal, fraction, and/or whole numbers) in an ordered sequence or shown on a number line. • Identify incorrectly placed numbers within an ordered sequence or shown on a number line. • Order the numbers in a set of numbers by using benchmarks on a number line such as 0, ½ , and 1.