What this lesson shows
Fixes a mistake
After the cut, a piece uses only part of the long side.
The worked example
The lesson works this one step by step: 6 by 8 and 4 by 5, side by side. Then your kid tries one like it on paper.
The steps
- Cut it in two
- Not the whole side
- Subtract to find the part
- Add the areas
Helping at home
After the cut, ask which part of each long side belongs to each rectangle. Subtract to find the part that is left, then multiply each rectangle’s own sides and add.
If your kid gets stuck
Which part of the bottom is under each rectangle?
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.
Standards
- Common Core 3.MD.C.7d
Recognize area as additive. Find areas of rectilinear figures by decomposing them into non-overlapping rectangles and adding the areas of the non-overlapping parts, applying this technique to solve real world problems.
Matches standards in 49 statesSee each state's code
- Alabama MA19.3.22, MA19.3.23
- Alaska 3.MD.9.d
- Arizona 3.MD.C.7.d
- Arkansas 4.GM.7
- California 3.MD.C.7
- Colorado 3.MD.C.7.d
- Connecticut 3.MD.C.7
- Delaware 3.MD.C.7
- District of Columbia 3.MD.C.7
- Florida MA.3.GR.2.4
- Georgia 3.GSR.7.2, 4.GSR.8.3
- Hawaii 3.MD.C.7
- Idaho 3.MD.C.7.c
- Illinois 3.MD.C.7
- Indiana 4.M.4
- Iowa 3.MD.C.7.d
- Kansas 3.MD.8.d
- Kentucky KY.3.MD.7.d
- Louisiana 4.MD.D.8
- Maine 3.MD.C.7d
- Maryland 3.GR.C.7.c
- Massachusetts 3.MD.C.7.d
- Michigan 3.MD.C.7
- Minnesota 4.3.2.3, 4.3.2.4
- Mississippi 3.MD.7.d
- Missouri 3.GM.C.14
- Montana MT.3.MD.7.a, MT.3.MD.7.b, MT.3.MD.7.d
- Nebraska 3.G.2.c
- Nevada 3.MD.C.7
- New Hampshire 3.MD.C.7
- New Jersey 3.M.B.5d
- New Mexico 3.MD.C.7
- New York NY-3.MD.7.d
- North Carolina NC.3.MD.7.c, NC.4.MD.3.a
- North Dakota 3.GM.M.8, 4.GM.M.5
- Ohio 3.MD.7.d
- Oklahoma 4.GM.2.2
- Oregon 3.GM.C.7
- Pennsylvania CC.2.4.3.A.5
- Rhode Island 3.MD.C.7.d
- South Carolina 5.MGSR.1.1
- South Dakota 3.MD.C.7.d
- Tennessee 3.MD.C.7.d
- Texas 111.5.b.6.C, 111.5.b.6.D
- Utah 3.MD.7.d
- Vermont 3.MD.C.7
- Washington 3.MD.C.7
- West Virginia M.3.24
- Wisconsin M.3.MD.C.7
More in this unit
- Points, lines, segments, rays
- Parallel and perpendicular
- Crossing is not perpendicular
- Naming quadrilaterals
- One shape, many names
- Lines of symmetry
- Find every line
- Area by counting squares
- Area is rows times columns
- Perimeter around the edge
- Same area, different perimeters
- Area of an L shape
- The cut is not perimeter
- Build it from cubes