Midcontinent Research for Education and Learning
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Common Core Mathematics 35
Cluster
Geometric measurement: understand concepts of area and relate area to multiplication and to addition.
Grade 3
3.MD.5.
Recognize area as an attribute of plane figures and understand concepts of area measurement.
3.MD.5.a.
A square with side length 1 unit, called “a unit square,” is said to have “one square unit” of area, and can be used to measure area.
3.MD.5.b.
A plane figure which can be covered without gaps or overlaps by n unit squares is said to have an area of n square units.
3.MD.6.
Measure areas by counting unit squares (square cm, square m, square in, square ft, and improvised units).
3.MD.7.
Relate area to the operations of multiplication and addition.
3.MD.7.a.
Find the area of a rectangle with wholenumber side lengths by tiling it, and show that the area is the same as would be found by multiplying the side lengths.
3.MD.7.b.
Multiply side lengths to find areas of rectangles with wholenumber side lengths in the context of solving real world and mathematical problems, and represent wholenumber products as rectangular areas in mathematical reasoning.
3.MD.7.c.
Use tiling to show in a concrete case that the area of a rectangle with wholenumber side lengths a and b + c is the sum of a × b and a × c. Use area models to represent the distributive property in mathematical reasoning.
3.MD.7.d.
Recognize area as additive. Find areas of rectilinear figures by decomposing them into nonoverlapping rectangles and adding the areas of the nonoverlapping parts, applying this technique to solve real world problems.