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.

Standard:

Math.3.MD.5b or 3.MD.C.5.B

Description:

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.

Standard:

Math.3.MD.6 or 3.MD.C.6

Description:

Measure areas by counting unit squares (square cm, square m, square in, square ft, and improvised units).

Standard:

MA.3.GR.2.1

Description:

Explore area as an attribute of a two-dimensional figure by covering the figure with unit squares without gaps or overlaps. Find areas of rectangles by counting unit squares.

Standard:

MA.3.GR.2.2

Description:

Find the area of a rectangle with whole-number side lengths using a visual model and a multiplication formula

Standard:

MA.3.GR.2.3

Description:

Solve mathematical and real-world problems involving the perimeter and area of rectangles with whole-number side lengths using a visual model and a formula.

Standard:

Math.3.MD.7a or 3.MD.C.7.A

Description:

Find the area of a rectangle with whole-number side lengths by tiling it, and show that the area is the same as would be found by multiplying the side lengths.

Standard:

Math.3.MD.7b or 3.MD.C.7.B

Description:

Multiply side lengths to find areas of rectangles with whole-number side lengths in the context of solving real world and mathematical problems, and represent whole-number products as rectangular areas in mathematical reasoning.

Standard:

MA.3.GR.2.4

Description:

Solve mathematical and real-world problems involving the perimeter and area of composite figures composed of non-overlapping rectangles with whole-number side lengths.

Standard:

CC.2.3.3.A.2

Description:

Use the understanding of fractions to partition shapes into parts with equal areas and express the area of each part as a unit fraction of the whole.

Standard:

Math.3.MD.7c or 3.MD.C.7.C

Description:

Use tiling to show in a concrete case that the area of a rectangle with whole-number 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.

Standard:

Math.3.MD.7d or 3.MD.C.7.D

Description:

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.

Standard:

M03.C-G.1.1.3

Description:

Partition shapes into parts with equal areas. Express the area of each part as a unit fraction of the whole.

Standard:

Math.3.G.2 or 3.G.A.2

Description:

Partition shapes into parts with equal areas. Express the area of each part as a unit fraction of the whole. For example, partition a shape into 4 parts with equal area, and describe the area of each part as 1/4 of the area of the shape.

Standard:

CC.2.4.3.A.5

Description:

Determine the area of a rectangle and apply the concept to multiplication and to addition.

Standard:

M03.D-M.3.1.1

Description:

Measure areas by counting unit squares (square cm, square m, square in., square ft, and non-standard square units)

Standard:

M03.D-M.3.1.2

Description:

Multiply side lengths to find areas of rectangles with whole-number side lengths in the context of solving real-world and mathematical problems, and represent whole-number products as rectangular areas in mathematical reasoning

Area is the number of square units needed to cover a 2-dimensional object.

Example:

Find the area of the rectangle by counting the number of unit squares. The rectangle has 32 unit squares. Each unit square has an area of 1 square foot. So, the area of the rectangle is 32 square feet.

Another way to find the number of unit squares is to multiply the number of rows by the number of columns.

4 × 8 = 32

Area of Rectangle

Area = length × width

Example:

The area of a rectangle can be found by multiplying its dimensions, length and width.

Area

=

length × width

=

14 inches × 10 inches

=

140 square inches

The area of the shelf liner paper is 140 square inches.