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Skills Covered

  • Tell the position of a number from its value
  • Use a rule to extend a number pattern
  • Find the number at a given position
  • Find the position of a given number
  • Connect skip counting to multiplication
  • Explain a shortcut for a pattern

How to Use This Pack

Each page has four patterns laid out as a track: a tag for each position (1st, 2nd, 3rd, ...) above a box for its value. The rule and the first numbers are given. Students fill in the rest and find the number at a later position; in the last pattern on each page they are given a number and find its position. The think box asks for a number further along a pattern that starts at a number and adds that same number each time, and how to find it without writing every number.

In the Classroom

Point out the difference between position and value with the first track: the 3rd position holds the number 21. Discuss the think box together, and connect it to multiplication.

At Home

Have your child read each track aloud: "the 1st number is 7, the 2nd number is 14". Then ask what the 10th number would be.

Tips for Success

  • Position tells where a number sits; value is the number itself
  • Count the jumps from the last number you know
  • For "in which position", keep going until you reach the number
  • A pattern that starts at 5 and adds 5 is the 5 times table: the 10th number is 10 × 5

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.

Number Patterns: Position and Value

3rd Grade

Four third grade worksheets on the position and value of numbers in a pattern. Students use a rule to fill in a pattern, find the number at a later position, and find the position of a given number. A think box on each page asks for a shortcut. Includes color and black-and-white versions and answer keys.

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What’s Included

  • 4 printable worksheets with 4 pattern tracks per page
  • A think-about-it question on every page
  • Addition, subtraction, multiplication, and division patterns
  • Color and printer-friendly black-and-white versions
  • Answer keys for all 4 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.