Area with fraction sides: 5th grade math lesson

What this lesson shows

3/4 yard by 2/3 yard tiled with twelfths of a square yard: 6/12 square yard. Then the perimeter.

The worked example

The lesson works this one step by step: 3/4 × 2/3. Then your kid tries one like it on paper.

The steps

Tile 1 square yard
Count the tiles covered
Add four sides for the perimeter

Helping at home

Cut a square yard into columns and rows by the two bottoms. The rectangle covers tops times tops of those tiles, so the area is tops times tops over bottoms times bottoms, in square yards. For the perimeter, rename the sides in the same parts and add all four.

If your kid gets stuck

Area: multiply. Perimeter: add all four sides.

Watch it with Lux

With Lux, this lesson is a narrated video and a printed page your kid works on. Then Lux helps with the same math on their own worksheet, one question at a time.

See how Lux works

Standards

Common Core 5.NF.B.4b
Find the area of a rectangle with fractional side lengths by tiling it with unit squares of the appropriate unit fraction side lengths, and show that the area is the same as would be found by multiplying the side lengths. Multiply fractional side lengths to find areas of rectangles, and represent fraction products as rectangular areas.

Matches standards in 46 statesSee each state's code

Alabama MA19.5.12c, MA19.5.12d
Alaska 5.NF.4.b
Arizona 5.NF.B.4.b, 5.NF.B.4.c
Arkansas 5.CAR.7, 5.GM.2
California 5.NF.B.4
Colorado 5.NF.B.4.a, 5.NF.B.4.b
Connecticut 5.NF.B.4
Delaware 5.NF.B.4
District of Columbia 5.NF.B.4
Florida MA.5.GR.2.1
Hawaii 5.NF.B.4
Idaho 5.NF.B.4.b
Illinois 5.NF.B.4
Indiana 5.M.2, 5.CA.5
Iowa 5.NF.B.4.b
Kansas 5.NF.4.b
Kentucky KY.5.NF.4.a, KY.5.NF.4.b
Louisiana 5.NF.B.4.b, 5.NF.B.4.c, 5.NF.B.4.d
Maine 5.NF.B.4b
Maryland 5.NOS.D.12.b, 5.NOS.D.12.c
Massachusetts 5.NF.B.4.b
Michigan 5.NF.B.4
Mississippi 5.NF.4.b
Missouri 5.NF.B.7.a
Montana MT.5.NF.4.a, MT.5.NF.4.b, 5.D3.2, 5.D4.2, 5.D4.5
Nebraska 5.N.3.b, 5.G.4.a, 5.G.4.b
Nevada 5.NF.B.4
New Hampshire 5.NF.B.4
New Jersey 5.NF.B.4b
New Mexico 5.NF.B.4
New York NY-5.NF.4.b
North Carolina NC.5.NF.4.a
North Dakota 5.GM.M.2
Ohio 5.NF.4.b
Oregon 5.NF.B.4
Pennsylvania CC.2.1.5.C.2
Rhode Island 5.NF.B.4.b
South Carolina 5.PAFR.2.2
South Dakota 5.NF.B.4.b
Tennessee 5.NF.B.4.b
Texas 111.7.b.3.I, 111.7.b.4.H
Utah 5.NF.4.b
Vermont 5.NF.B.4
Washington 5.NF.B.4
West Virginia M.5.14
Wisconsin M.5.NF.B.4

Area with fraction sides