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Skills Covered

  • Find the missing numbers in a number pattern
  • Extend patterns forward and backward
  • Recognize addition, subtraction, multiplication, and division patterns
  • Write the rule of a number pattern
  • Check that a rule works for every jump
  • Use multiplication and division facts in patterns

How to Use This Pack

Each page has eight number patterns with one, two, or three numbers missing. Students find the jump from one number to the next, fill in the missing numbers, and write the rule on the card beside the pattern. There are three levels: pages 1 to 4 are on grade level, with all four operations and some patterns missing their first number; pages 5 and 6 are support pages with small steps within 100; pages 7 and 8 are a challenge, with gaps that are not side by side and larger numbers. The first pattern on pages 1, 5, and 7 is a worked example.

In the Classroom

Work the example on the first page together, saying each jump out loud. Then give each group the level that fits: pages 1 to 4 for most of the class, pages 5 and 6 for students who need support, and pages 7 and 8 as a challenge.

At Home

Start with page 1, or page 5 for an easier start. When a number is missing at the start of a pattern, show your child how to work backward with the opposite operation.

Tips for Success

  • Find the jump between two numbers that are both given
  • Test the rule on every jump before writing it
  • A first number that is missing is found by working backward
  • If the jumps grow bigger each time, try multiplying

Common Core Standards Alignment

This pack supports the following Common Core State Standards for Mathematics:

  • 3.OA.D.9 Spot patterns in addition tables, times tables and other arithmetic, and explain them with properties, like why multiples of 5 end in 0 or 5.

© Copyright 2010. National Governors Association Center for Best Practices and Council of Chief State School Officers. All rights reserved.

Complete the Pattern: Missing Numbers and Rules

3rd Grade

Eight third grade worksheets on number patterns. Students fill in the missing numbers in each pattern and write its rule, with patterns that add, subtract, multiply, and divide. Includes support, on-level, and challenge pages, worked examples, color and black-and-white versions, and answer keys.

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What’s Included

  • 8 printable worksheets with 8 number patterns per page
  • 3 difficulty levels: On Level (pages 1–4), Support (pages 5–6), Challenge (pages 7–8)
  • Addition, subtraction, multiplication, and division patterns
  • Color and printer-friendly black-and-white versions
  • Answer keys for all 8 worksheets
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Free to print and share

This worksheet is free to download, print, copy, and hand out in your classroom or at home. You do not need to create an account, and there are no watermarks on the PDF.