### Key Concepts

- Define unit square
- How to measure area using non-standard units
- Define unit of area
- Types of standard units for area
- How to measure area using standard units
- Measuring area using standard units without unit squares

**Introduction**

Riya thinks about how to find the area of the blackboard using unit squares?

She placed unit squares on the blackboard.

### 1.1 Non-Standard Units of Area:

The size of the unit square determines the measurement of the area.

How to find the size of the unit square when area is given?

- James used the smaller unit square and found that the area of this shape is 18 square unit. If he used the larger unit square, what would the area of the shape be?

- 1 square unit
- square unit
- square unit
- square unit

#### How big is the Square unit?

Imagine you have a playroom with an area of 6 square units.

You need to cover that with a rubber mat.

How many rubber mats do you need to buy?

Knowing the number of square units, we cannot find the area; we need to know how big the unit square is.

So, let’s find u**nit of area**

**What is Unit of Area?**

A unit of area tells how much space a shape actually takes up .

**Square millimeter** is used for really small objects like a fingernail.

**Square inch** and **square centimeter** can be used for measuring small surfaces like papers, pictures, or drawings.

**Square feet, square yard,** and **square meter** are used for bigger spaces like areas of rooms, houses, gardens, and fields.

**Square miles** and **square kilometers** are used for really large areas of land. Hectares and acres are also used, but you’ll learn about them in later grades.

**By using standard units:**A larger unit takes fewer squares to cover the figure

A smaller unit takes more squares to cover the figure

**Here are shorter ways of writing these units of area:**

Square millimeter = **mm²**

Square inch= **in²**

Square centimeter = **cm²**

Square feet = **ft²**

Square yard =** yd²**

Square meter = **m²**

### How to write unit of areas?

- It’s important to use the right unit when measuring an area.

**Example :** Area of a house can be measure in square feet and square meters.

Piece of paper is used in square cm and square inch.

Here are other units of area and their symbols:

We write unit of areas by adding a small 2 after the unit of length.

For example, square centimeter would be cm². It is read as square centimeters.

#### Area of regular shapes

How can we find area without unit squares?

Area can be found out by multiplying rows and columns using array method

Area = Rows x columns

= 3 cm x 8 cm

= 24 cm²

For a square all sides are equal

Rows = columns

Area = row x column

= 5 m x 5 m

= 25 m²

### Assessment

Jim went to the park, and he found one football court and one basketball court? Can you help Jim in finding the areas of both the courts?

Lets find the Area?

### Concept Map :

### What we have learnt:

- The area of a surface or a plane figure is the number of square units needed to cover the surface of the figure.
- Area is measured in square units.
- Unit Square : Each side of the square is 1 unit.
- Unit squares can be of different sizes.
- The size of the unit square determines the measurement of the area.
- A unit of area tells how much space a shape actually takes up.
- Square millimeter is used for very small areas.
- Square inch and square centimeter are used for small surfaces.
- Square feet, square yard, and square meter are used for bigger spaces.
- Square miles and square kilometers are used for very big areas.

#### Related topics

#### Addition and Multiplication Using Counters & Bar-Diagrams

Introduction: We can find the solution to the word problem by solving it. Here, in this topic, we can use 3 methods to find the solution. 1. Add using counters 2. Use factors to get the product 3. Write equations to find the unknown. Addition Equation: 8+8+8 =? Multiplication equation: 3×8=? Example 1: Andrew has […]

Read More >>#### Dilation: Definitions, Characteristics, and Similarities

Understanding Dilation A dilation is a transformation that produces an image that is of the same shape and different sizes. Dilation that creates a larger image is called enlargement. Describing Dilation Dilation of Scale Factor 2 The following figure undergoes a dilation with a scale factor of 2 giving an image A’ (2, 4), B’ […]

Read More >>#### How to Write and Interpret Numerical Expressions?

Write numerical expressions What is the Meaning of Numerical Expression? A numerical expression is a combination of numbers and integers using basic operations such as addition, subtraction, multiplication, or division. The word PEMDAS stands for: P → Parentheses E → Exponents M → Multiplication D → Division A → Addition S → Subtraction Some examples […]

Read More >>#### System of Linear Inequalities and Equations

Introduction: Systems of Linear Inequalities: A system of linear inequalities is a set of two or more linear inequalities in the same variables. The following example illustrates this, y < x + 2…………..Inequality 1 y ≥ 2x − 1…………Inequality 2 Solution of a System of Linear Inequalities: A solution of a system of linear inequalities […]

Read More >>
Comments: