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What is Enlargement (making a shape bigger)?

Grade Level:

Class 2

All STEM domains, Finance, Economics, Data Science, AI, Physics, Chemistry

Definition
What is it?

Enlargement means making a shape or object bigger while keeping its original form and proportions. Imagine taking a small photo and making it a larger photo; the picture looks the same, just bigger. When we enlarge something, all its sides get longer by the same amount.

Simple Example
Quick Example

Think about a small photo of your family. When you get it printed in a bigger size to put in a frame, that's an enlargement. The people in the photo look the same, but the overall picture is larger. All the lengths in the photo have increased by the same factor.

Worked Example
Step-by-Step

Let's say you have a square drawing on paper with each side measuring 2 cm.
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You want to enlarge this square so that each side becomes 3 times bigger.
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Step 1: Identify the original side length. Original side = 2 cm.
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Step 2: Identify the enlargement factor. Here, it's 3 times bigger.
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Step 3: Multiply the original side length by the enlargement factor to find the new side length. New side length = 2 cm * 3 = 6 cm.
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So, the enlarged square will have each side measuring 6 cm. Its shape is still a square, just bigger.

Why It Matters

Understanding enlargement is key in many fields! Architects use it to scale up building plans, and engineers use it to design bigger versions of parts. In graphic design, artists enlarge images for posters. It helps us understand how things change in size while maintaining their look, which is important for careers in design, engineering, and even space science.

Common Mistakes

MISTAKE: Only making one side longer when enlarging a shape. | CORRECTION: When you enlarge a shape, ALL its corresponding sides must become longer by the same multiplication factor to keep the shape looking the same.

MISTAKE: Thinking enlargement changes the shape itself (e.g., a square becomes a rectangle). | CORRECTION: Enlargement only changes the size, not the shape. A square remains a square, a circle remains a circle, just bigger.

MISTAKE: Adding a number to the sides instead of multiplying. | CORRECTION: Enlargement involves multiplication. If you want something to be 'twice as big', you multiply its dimensions by 2, not add 2 to them.

Practice Questions
Try It Yourself

QUESTION: A small sticker is 4 cm long. If you enlarge it to be 2 times bigger, how long will the new sticker be? | ANSWER: 8 cm

QUESTION: Your school playground is a rectangle with a length of 10 meters and a width of 5 meters. If you draw a map of it and want to enlarge the map so all lengths are 4 times bigger, what will be the new length and width on your map? | ANSWER: New length = 40 meters, New width = 20 meters

QUESTION: A photo has a width of 6 inches and a height of 8 inches. If you enlarge it so the width becomes 18 inches, what is the enlargement factor, and what will be the new height? | ANSWER: Enlargement factor = 3, New height = 24 inches

MCQ
Quick Quiz

Which of these is an example of enlargement?

Cutting a square into two triangles

Making a small drawing bigger for a poster

Changing a circle into an oval

Folding a paper in half

The Correct Answer Is:

B

Enlargement means making something bigger while keeping its original shape. Making a small drawing bigger for a poster fits this definition. The other options change the shape or simply reduce the size without maintaining proportions.

Real World Connection
In the Real World

When you zoom in on a photo on your smartphone, that's a digital enlargement! The image gets bigger but doesn't get distorted. Similarly, when architects design a building, they first draw small plans and then 'enlarge' them to actual building sizes using scales, which is crucial for construction.

Key Vocabulary
Key Terms

ENLARGEMENT: Making a shape or object bigger while keeping its original form and proportions. | PROPORTIONS: The relationship between the sizes of different parts of an object. | SCALE FACTOR: The number by which all dimensions of an object are multiplied to enlarge or reduce it. | DIMENSIONS: Measurements like length, width, and height.

What's Next
What to Learn Next

Great job learning about enlargement! Next, you can explore 'Reduction', which is the opposite of enlargement – making things smaller while keeping their shape. Then you can move on to 'Scale Factor' to understand exactly how much bigger or smaller things become.

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