Lesson 9: Area Situations

Property

The area of a shape is the total number of non-overlapping unit squares that cover it completely.
This measurement is expressed in square units.

Examples

Property

The fractional unit is the name for the equal parts a whole is divided into (e.g., thirds, fourths).
A unit fraction is one of these equal parts, written as $\frac{1}{d}$, where $d$ is the total number of equal parts.

Examples

Property

To find the area of a rectangle with a whole number side length $w$ and a unit fraction side length $\frac{1}{b}$, you can model it by partitioning a rectangle of area $w$ into $b$ equal parts. The area of one of those parts represents the area of the rectangle.

Property

The total area of a shaded region is the number of identical fractional parts multiplied by the area of one part. If there are $n$ parts, each with an area of $\frac{1}{d}$ square units, the total area is $A = n \times \frac{1}{d} = \frac{n}{d}$ square units.

Examples