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Features

  • The formulas A = l × w and P = 2 × l + 2 × w, and A = s × s and P = 4 × s for a square
  • Two-digit side lengths in centimeters, meters, inches, feet and yards
  • Split a rectangle at the tens to find its area, then add the parts
  • Find a missing side from the area (divide) or from the perimeter (half, then subtract)
  • A table of missing lengths, widths, areas and perimeters
  • Story problems about gardens, rooms, fences and rugs: area or perimeter?
  • Every page in color and in black and white
  • Answer keys included

Skills Covered

  • Use the area formula A = l × w
  • Use the perimeter formula P = 2 × l + 2 × w
  • Use A = s × s and P = 4 × s for squares
  • Multiply two-digit side lengths with an area model
  • Find a missing side from the area or the perimeter
  • Decide whether a story needs the area or the perimeter

How to Use This Pack

Five pages on the area and perimeter formulas, with side lengths too big for the times tables. Page 1 starts with the formulas on a card, then has five rectangles and squares with a two-digit side and a one-digit side: students write the formulas with the numbers in and use the work space to multiply. Page 2 has rectangles with two two-digit sides, each split at the tens like an area model: students find the four parts, add them for the area, and find the perimeter. Page 3 gives the area and one side: divide to find the missing side, then multiply to check. Page 4 gives the perimeter and one side: half the perimeter is one length and one width, so subtract the side you know; a square's side is the perimeter divided by 4. A table then mixes all four measures. Page 5 has six stories about gardens, rugs, rooms, posters and pens: students circle area or perimeter, write an equation and answer with the unit. The first problem on each page is worked as an example.

In the Classroom

Before page 1, have students measure the classroom door or a desk top in centimeters and find both measures, then ask which formula fits each job: a border around the desk, or paper to cover it. On page 4, ask why half the perimeter is one length plus one width, and draw it.

At Home

Measure a rug, a table or a garden bed with your child in feet or inches and find how much would go around it and how much would cover it. Then give a total, "the fence is 60 feet and the pen is 18 feet long", and ask how wide it must be.

Tips for Success

  • Area is the space inside: A = l × w, in square units
  • Perimeter is the distance around: P = 2 × l + 2 × w, in units
  • A square has four equal sides: A = s × s and P = 4 × s
  • Split a two-digit side at the tens to multiply: 23 × 15 is 20 × 15 + 3 × 15
  • Half the perimeter is one length plus one width
  • Cover or fill means area; around, edge or fence means perimeter

Common Core Standards Alignment

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

  • 4.MD.A.3 Solve real and math problems with rectangle area and perimeter formulas, such as finding an unknown side from the area and the other side.

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

Area and Perimeter Formulas

4th Grade

The area and perimeter formulas for rectangles and squares, used with side lengths past the times tables. Students write A = l × w and P = 2 × l + 2 × w with the numbers in, split rectangles to multiply, work back from the area or the perimeter to a missing side, and decide whether a story needs the area or the perimeter.

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What’s Included

  • 5 worksheets in color and in black and white, with answer keys (15 pages)
  • A formula card and 33 problems, 6 of them worked examples
  • Area models for two-digit side lengths
  • Missing sides from the area and from the perimeter, and six story problems
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