🔢 MathGrade 3Lesson 24
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Measure Area with Unit Squares

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Learning Objectives

  • 1Count unit squares to find the area of a shape in both square inches (in²) and square centimeters (cm²)
  • 2Compare areas of different shapes on a grid using square inches and square centimeters
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Mini Lesson

Area is the amount of surface a shape covers. We measure area in square units. To find the area of a shape on a grid, count how many unit squares fit inside it. Each unit square can be 1 in × 1 in (one square inch, in²) or 1 cm × 1 cm (one square centimeter, cm²). The math is the same in both unit systems — just keep your units consistent.

Counting Unit Squares

  • Draw or look at the shape on a grid of inch or centimeter squares.
  • Count each complete unit square inside the shape.
  • The total count is the area — write it in in² (square inches) or cm² (square centimeters).
  • For rectangles: area = rows × columns (multiply instead of counting).
Example

A rectangle is 4 units wide and 3 units tall on a centimeter grid. What is its area?

Answer:Area = 4 × 3 = 12 cm² (12 square centimeters). On an inch grid the same shape would be 12 in².

Comparing Areas

  • Two shapes can have the same perimeter but different areas.
  • To compare, count the unit squares in each shape — but only compare shapes drawn on the same kind of grid (in² with in², cm² with cm²).
  • The shape with more unit squares has a larger area.
3 by 4 grid showing area of 12 square inchesA 3 rows by 4 columns grid of 1 inch unit squares, each cell numbered 1 through 12. Label below: Area equals 12 square inches.Area in Square Inches (in²)123456789101112Area = 12 in² (12 square inches)3 rows × 4 cols of 1-inch squares = 12 in²
Two shapes on a centimeter grid showing area 8 cm² and area 9 cm²Left: a 2 by 4 rectangle with area 8 cm² on a centimeter grid. Right: a 3 by 3 grid shape with area 9 cm².Comparing Areas (cm²)Area = 8 cm²2 rows × 4 colsArea = 9 cm²3 rows × 3 cols9 cm² > 8 cm², so the square grid is larger
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For rectangles on a grid, multiply rows × columns. Always write the unit: in² (square inches) or cm² (square centimeters).

Vocabulary
Area
The amount of space inside a flat shapee.g. A rectangle has an area of 12 in² or 12 cm² depending on the grid.
Unit square
A square that is 1 unit on each side (1 in × 1 in or 1 cm × 1 cm)e.g. I count unit squares to find the area.
Square inch
A US customary unit of area — a square that is 1 in × 1 in (written in²)e.g. The area of this card is 12 in².
Square centimeter
A metric unit of area — a square that is 1 cm × 1 cm (written cm²)e.g. The area of this sticker is 12 cm².
Length
How long one side of a shape is, in inches or centimeterse.g. The length is 6 in or 6 cm.
Width
How wide a shape is, in inches or centimeterse.g. The width is 4 in or 4 cm.
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← Lesson 23: Measure Perimeter of PolygonsLesson 25: Identify Polygons and Angles →