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Skills Covered

  • Find the area and perimeter of a shape
  • Use square units for area and units for perimeter
  • Find both for rectangles with side lengths
  • Compare rectangles with the same perimeter
  • Draw rectangles with a given area or perimeter
  • Choose area or perimeter for a real job

How to Use This Pack

Five pages that put area and perimeter side by side, so students learn to tell them apart. Pages 1 and 2 find both measures, first for shapes on a grid and then for rectangles with side lengths. Page 3 shows pairs of rectangles with the same perimeter and different areas. Page 4 has students draw two rectangles with a perimeter of 12 units, then two with an area of 12 square units. Page 5 lists ten everyday jobs to sort into area or perimeter.

In the Classroom

Give pairs of students 12 square tiles and ask for every rectangle they can build; record the perimeters on the board. Then use string loops of the same length to make rectangles with different areas, which sets up pages 3 and 4.

At Home

Ask which measure fits a job around the house: covering a table with a cloth (area) or putting tape around its edge (perimeter).

Tips for Success

  • Area counts the squares inside; perimeter counts the units around
  • Area is in square units; perimeter is in units
  • Rectangles can share a perimeter and still have different areas
  • Cover or fill means area; around or edge means perimeter

Common Core Standards Alignment

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

  • 3.MD.C.5a Know that a square with 1-unit sides has an area of one square unit and can be used to measure area.
  • 3.MD.C.5b Know that a flat shape exactly covered by some number of unit squares, with no spaces or overlapping, has that many square units of area.
  • 3.MD.C.6 Find an area by counting how many unit squares cover it, in square centimeters, meters, inches, feet or made-up units.
  • 3.MD.C.7a Tile a rectangle with whole-number sides and show that the number of tiles matches multiplying its length by its width.
  • 3.MD.C.7b Multiply length by width to get the area of whole-number rectangles in story and math problems, and picture products as rectangles.
  • 3.MD.C.7c Use tiles or area models to show that splitting a rectangle's side into two parts splits its area into two products (the distributive property).
  • 3.MD.D.8 Solve perimeter problems for polygons: add side lengths, find a missing side, and compare rectangles with equal perimeters but different areas, or the reverse.

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

Area and Perimeter

Grade 3rd

A 5-page area and perimeter pack for 3rd grade. Find both for shapes on a grid and for labelled rectangles, compare rectangles with the same perimeter but different areas, draw rectangles with a given perimeter or area, and decide whether a job needs area or perimeter. Answer keys included.

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What’s Included

  • 5 worksheets, each with a matching answer key (10 pages)
  • Area and perimeter of grid shapes and labelled rectangles
  • Same perimeter, different area comparisons and draw-your-own rectangles
  • An area-or-perimeter sorting page with ten real jobs
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