Math Games

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:

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.