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Features

  • Longhouse floor plans on grids: length, perimeter and area
  • Fires and families from a longhouse's length (÷ 20, × 2)
  • Feet, yards and inches tables and stories
  • A longhouse growing section by section, as a pattern
  • Scale drawings to read and to draw
  • Every page in color and in black and white
  • Answer keys included

Skills Covered

  • Find perimeter and area on a grid
  • Multiply and divide by 2 and 20
  • Convert feet to yards and inches
  • Extend a growing pattern in a table
  • Read a scale drawing
  • Make a scale drawing on a grid

About the longhouse

The Haudenosaunee (the Mohawk, Oneida, Onondaga, Cayuga, Seneca and Tuscarora nations) call themselves the People of the Longhouse. A longhouse was about 20 feet wide and from about 40 to 200 feet long, built of elm bark over a frame of young trees. An aisle ran down the middle, and about every 20 feet a fire burned in it, shared by the two families who lived on either side. When the extended family grew, the longhouse was made longer. The figures on these pages come from Ganondagan State Historic Site, the New York State Museum and the Haudenosaunee Confederacy; the plans use a fire every 20 feet to keep the math clear.

How to Use This Pack

Five pages of 3rd and 4th grade measurement, each starting with a short panel. Page 1 reads four longhouses on grids of 10-foot squares and finds each one's length, perimeter and area. Page 2 fills in a table of lengths, fires and families, then four stories. Page 3 changes feet to yards and feet to inches in two tables, then four stories. Page 4 extends a longhouse section by section and fills in the pattern's table. Page 5 reads two scale drawings and makes two more. The first problem on each page is a worked example.

In the Classroom

Measure out 20 feet in the hall or on the playground to feel a longhouse's width and one family's space, then pace out a 100-foot longhouse. Page 4's table is a good place to talk about the rule: every row adds 20 feet.

At Home

Measure a room at home in feet, then work out how many of its widths fit into a 200-foot longhouse.

Tips for Success

  • Each grid square is 10 feet on a side
  • Perimeter goes all the way around: length + width + length + width
  • Fires: length ÷ 20. Families: fires × 2
  • 3 feet make a yard and 12 inches make a foot
  • In a scale drawing, count the squares, then multiply by the scale

Common Core Standards Alignment

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

  • 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.
  • 4.OA.C.5 Make a number or shape pattern from a rule and notice features the rule does not say, such as terms switching between odd and even.
  • 4.MD.A.1 Know how units within one system compare, rewrite a measurement in a smaller unit, and make two-column conversion tables, like yards to feet.
  • 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.

Longhouse Measuring

3rd – 4th Grade

Measurement from the Haudenosaunee longhouse, the long bark house with a fire every few paces shared by two families, which gives the People of the Longhouse their name. Students find perimeter and area on grids, work out fires and families from a longhouse's length, change feet to yards and inches, extend a growing pattern and read and make scale drawings.

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What’s Included

  • 5 worksheets in color and in black and white, with answer keys (15 pages)
  • Floor plans on grids, a longhouse plan with its fires, and scale drawings
  • Perimeter, area, unit, pattern and story problems
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