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Cubby Shelf Builders: Split the Shelf, Add the Areas
Grade 3 distributive property with area: split tiled cubby shelves into two rectangles, find each part's area, and add to get the whole area.
Grade 3MathInteractive · Printable
Aligned to3.MD.C.7.c
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What’s included
- Single worksheet
- Auto-graded online
- 1 Common Core standard
- Printable answer key
- 10 questions
- Classroom-ready
Details
- Format
- Interactive · Printable
- Grade
- Grade 3
- Subject
- Math
- Question types
- Fill in the blank, Multiple choice, Matching, Circle the answer, Short answer, Drawing
About this worksheet
What students practice
- Students split a tiled rectangle into two rectangles and add their areas to find the whole area.
- Students show that a × (b + c) has the same value as a × b + a × c using area models.
- Students use a split rectangle to solve a harder multiplication fact.
How to use
Use after students can find the area of a tiled rectangle. Let them trace the split line in color and label each part before they add.
Curriculum
Common Core standard covered
Use tiling to show that area follows the distributive property.
Preview
OwlSheets.com
Cubby Shelf Builders: Split the Shelf, Add the Areas
Break big cubby shelves into two smaller rectangles to find the area.

Split and add
Each cubby is a square that is 1 foot on each side. Find the area of each part of the shelf, then add.
Area of part A: 4 × 5 = square feet
Area of part B: 4 × 2 = square feet
Area of the whole shelf: square feet
- A. 3 + (6 × 3)
- B. 6 × (3 + 3)
- C. 3 × (6 + 3)
- D. (3 + 6) + 3
6 × 5 = 6 × 3 + 6 ×
6 × 5 = 18 +
The area of the whole shelf is square feet.
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