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Skills Covered

  • Find the rule of a number pattern
  • Tell adding, subtracting, multiplying, and dividing patterns apart
  • Check a rule against every jump in a pattern
  • Name the operation and the number in a rule
  • Write a rule in words
  • Explain how you know a rule is right

How to Use This Pack

Eight pages on finding the rule of a number pattern, each set out as six detective cases. In cases 1 and 2 students circle the rule from three choices. In cases 3 and 4 they circle the operation and write its number. In cases 5 and 6 they write the rule and explain how they know. The pages get harder: pages 1 and 2 stay within 100 with small steps, pages 3 to 6 are on grade level with patterns that add, subtract, multiply, and divide, and pages 7 and 8 use numbers in the hundreds and thousands. Case 1 on pages 1, 3, and 7 is a worked example.

In the Classroom

Use the three levels to give each group a page that fits: pages 1 and 2 for students who need support, pages 3 to 6 for most of the class, and pages 7 and 8 as a challenge. Work the example case together first, then read the detective tip aloud: the rule must work for every jump, not only the first one.

At Home

Start with page 1 or page 3 and talk through the worked example together. When your child finds a rule, ask them to test it on every jump in the pattern before they write it down.

Tips for Success

  • A pattern that grows is adding or multiplying; one that shrinks is subtracting or dividing
  • Find the jump between the first two numbers, then test it on the next jump
  • If the jumps get bigger each time, try multiplying
  • A rule is only right if it works for every jump

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.

Pattern Detective: Find the Rule

Grade 3rd

An 8-page number pattern pack for 3rd grade. Each page has six cases: study a number pattern, then circle the rule, name the operation and its number, or write the rule and explain it. Patterns add, subtract, multiply, and divide, on three levels of difficulty. Every page comes in color and in black and white. Answer keys included.

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What’s Included

  • 8 worksheets in color and in black and white, with answer keys (24 pages)
  • Six cases a page: circle the rule, name the operation, write and explain the rule
  • Three levels: pages 1-2 support, pages 3-6 on level, pages 7-8 advanced
  • Color pages styled as a detective's evidence board; black-and-white pages for easy printing
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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.