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What is the Addition Subtraction Rule Worksheet

In this What is the Addition Subtraction Rule Worksheet, 3rd grade students find the hidden rule in six IN/OUT tables, complete each pattern, and solve two word problems. An answer key is included.

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About this resource

Description

How to teach Number Patterns

This What is the Addition Subtraction Rule Worksheet asks students to study an IN/OUT table, work out the single rule that turns every IN number into its OUT number, and then use that rule to finish the pattern. A function table is one of the first places children meet the idea that a rule can be applied over and over to different inputs, and that idea grows straight into algebra. Because the rule is hidden, students cannot answer by guessing: they have to compare a pair of numbers, test the difference against a second pair, and only then commit. That habit of checking a pattern against more than one example is exactly what the standards mean by identifying arithmetic patterns and explaining them.

The worksheet has two parts. Part A gives six IN/OUT tables, three with an addition rule and three with a subtraction rule, all inside 0 to 100 so the arithmetic stays comfortable for 3rd grade. For each table the student writes the rule on the line and fills in the one missing OUT number. Part B moves the same thinking into two short word problems, where the student names the rule that fits the story and then writes the answer. A complete answer key is included on the last page.

What’s Included

  • One printable worksheet page plus a full answer key
  • Six IN/OUT function tables with a hidden addition or subtraction rule
  • A rule line and one missing number to complete in every table
  • Two word problems that ask for the rule and the answer
  • All values inside 0 to 100, written for 3rd grade

Three reasons this helps kids

  • Finding a hidden rule builds the pattern thinking that later becomes algebra
  • Testing the rule on a second pair teaches students to check before they answer
  • Moving from tables to word problems shows the same rule at work in a real story

Ideas for teachers and parents

Use this What is the Addition Subtraction Rule Worksheet as a warm up, a math center task, or a quick check after a lesson on arithmetic patterns. This 3rd grade patterns worksheet works the same way at home. Ask students to say the rule out loud in a full sentence before they write it, then to prove it on a second row of the table. Partners can trade papers, cover the rule line, and try to rediscover each other’s rules. For an extension, have students invent one more IN/OUT table of their own, hand it to a partner, and see whether the partner can name the rule.

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