In this Grade 7 lesson from Big Ideas Math Course 2, Chapter 6, students learn how to compare and order fractions, decimals, and percents by converting between all three forms using equivalent fractions and decimal notation. Through real-life examples such as test scores, soccer shot percentages, and sales tax rates, students practice identifying the greatest or least value across mixed number formats. The lesson aligns with Florida standard MAFS.7.EE.2.3 and builds fluency in rational number representation.
Section 1
Locate fractions, decimals, and percents on the number line
To locate fractions, decimals, and percents on the number line, first convert them to the same form (usually decimals) for easy comparison. Then identify the integers the value is between and divide that interval into appropriate parts to find the exact position.
Section 2
Order fractions, decimals, and percents
To compare and order fractions, decimals, and percents, convert all numbers to the same format (usually decimals). Then compare the decimal values. When ordering negative numbers, remember that the number closer to zero on the number line is the larger number.
Expand to review the lesson summary and core properties.
Section 1
Locate fractions, decimals, and percents on the number line
To locate fractions, decimals, and percents on the number line, first convert them to the same form (usually decimals) for easy comparison. Then identify the integers the value is between and divide that interval into appropriate parts to find the exact position.
Section 2
Order fractions, decimals, and percents
To compare and order fractions, decimals, and percents, convert all numbers to the same format (usually decimals). Then compare the decimal values. When ordering negative numbers, remember that the number closer to zero on the number line is the larger number.