Value Groups

This worksheet turns absolute value practice into a sorting challenge by asking students to evaluate several expressions and group them according to their shared absolute value. Students work with positive and negative integers inside absolute-value bars, then sort each expression into categories such as Absolute Value = 4, 7, 12, or 19. The activity strengthens absolute value, integer recognition, opposite numbers, magnitude, sorting, and number sense while helping students see that very different-looking expressions can represent the same distance from zero. It is especially useful for grades 6-7 students who know how to evaluate absolute value and are ready to organize values by magnitude.

Learning Goals

• Evaluate Absolute Value Expressions: Students determine the nonnegative value represented by each expression.
• Group Equal Magnitudes: Learners place expressions together when they share the same absolute value.
• Recognize Opposite Integers: Students see that values such as |7| and |-7| belong in the same group.
• Strengthen Classification Skills: Learners sort information based on a mathematical property rather than by the sign of the original number.

Classroom & Home Use

• Feels Like a Sorting Game: Students have to decide where each expression belongs instead of simply writing an answer beside it.
• Easy for Parents to Explain: Ask, “How far is this number from zero, and which group has that distance?”
• Builds Pattern Recognition: Students quickly notice that positive and negative opposites share the same absolute value.
• Good for Centers or Partner Work: The grouping format works naturally for collaborative practice.
• Useful for Review: The worksheet fits well into homework, intervention, independent practice, or homeschool lessons.

This worksheet helps students understand that absolute value groups numbers by magnitude rather than direction. Positive integers, negative integers, opposites, distance from zero, sorting, and number sense all work together as students decide where each expression belongs. For parents, the easiest way to explain the activity is that |-12| and |12| both belong in the same “12-distance” group because each number sits twelve units from zero. In classroom and homeschool settings, this activity strengthens absolute-value fluency while preparing students for comparing magnitudes and organizing integers.