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Fun with Math: Counting Squares and Scaling Up with Transformations!

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Fun with Math: Counting Squares and Scaling Up with Transformations!
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Imogen

@imogen.frem98

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Matha enlargements and transformations guide explains how shapes can be enlarged using different scale factors and methods, with a focus on counting squares for enlargement techniques.

  • Understanding positive scale factors makes shapes larger, while fractional scale factors create smaller shapes
  • The describe enlargement transformation type requires stating three key facts: transformation type, scale factor, and centre of enlargement
  • Negative scale factors result in flipped and enlarged shapes
  • Counting squares method involves measuring distances from the centre of enlargement and multiplying by the scale factor
  • Practical examples demonstrate how to calculate new positions and verify enlargements

19/11/2023

314

r
matha
Enlargements
scale factor (how many times bigger it gets).
• centre of enlargement
Positive scale factor:
shape gets bigger.
enlarge

View

Page 2: Negative Scale Factors and Describing Enlargements

This page delves into negative scale factors and provides a structured approach to describing enlargements completely.

Definition: A negative scale factor causes the shape to be both enlarged and flipped across the centre of enlargement.

The page outlines the three essential components needed to describe an enlargement:

Highlight: When describing an enlargement, you must always state:

  1. The transformation type (enlargement)
  2. The scale factor
  3. The centre of enlargement coordinates

Example: For a shape enlarged by scale factor -2, count the movement from the centre of enlargement to corners, multiply by -2, and mark new positions.

Quote: "Shape A, enlargement by scale factor of two from the centre of enlargement (2,4)" demonstrates the correct way to describe an enlargement completely.

The page concludes with practical methods for finding the scale factor by comparing corresponding sides and locating the centre of enlargement by drawing rays through corners.

r
matha
Enlargements
scale factor (how many times bigger it gets).
• centre of enlargement
Positive scale factor:
shape gets bigger.
enlarge

View

Page 1: Understanding Enlargements and Scale Factors

This page introduces the fundamental concepts of mathematical enlargements and their application. The content focuses on how shapes can be transformed using different scale factors from a centre point.

Definition: An enlargement is a transformation where a shape is made bigger or smaller from a fixed point called the centre of enlargement.

Vocabulary: Scale factor refers to how many times bigger or smaller a shape becomes during enlargement.

The page explains two main types of scale factors:

Example: With a positive scale factor of 3, all distances from the centre of enlargement are multiplied by 3, making the shape larger.

Highlight: The counting squares method involves measuring the distance from the centre of enlargement to corners in terms of squares, then multiplying these measurements by the scale factor.

For fractional scale factors, the process remains similar but results in a smaller shape:

Example: Using a scale factor of 1/3 makes the shape smaller, with all distances from the centre of enlargement being divided by 3.

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Fun with Math: Counting Squares and Scaling Up with Transformations!

user profile picture

Imogen

@imogen.frem98

·

2 Followers

Follow

Matha enlargements and transformations guide explains how shapes can be enlarged using different scale factors and methods, with a focus on counting squares for enlargement techniques.

  • Understanding positive scale factors makes shapes larger, while fractional scale factors create smaller shapes
  • The describe enlargement transformation type requires stating three key facts: transformation type, scale factor, and centre of enlargement
  • Negative scale factors result in flipped and enlarged shapes
  • Counting squares method involves measuring distances from the centre of enlargement and multiplying by the scale factor
  • Practical examples demonstrate how to calculate new positions and verify enlargements

19/11/2023

314

 

10/11

 

Maths

3

r
matha
Enlargements
scale factor (how many times bigger it gets).
• centre of enlargement
Positive scale factor:
shape gets bigger.
enlarge

Page 2: Negative Scale Factors and Describing Enlargements

This page delves into negative scale factors and provides a structured approach to describing enlargements completely.

Definition: A negative scale factor causes the shape to be both enlarged and flipped across the centre of enlargement.

The page outlines the three essential components needed to describe an enlargement:

Highlight: When describing an enlargement, you must always state:

  1. The transformation type (enlargement)
  2. The scale factor
  3. The centre of enlargement coordinates

Example: For a shape enlarged by scale factor -2, count the movement from the centre of enlargement to corners, multiply by -2, and mark new positions.

Quote: "Shape A, enlargement by scale factor of two from the centre of enlargement (2,4)" demonstrates the correct way to describe an enlargement completely.

The page concludes with practical methods for finding the scale factor by comparing corresponding sides and locating the centre of enlargement by drawing rays through corners.

r
matha
Enlargements
scale factor (how many times bigger it gets).
• centre of enlargement
Positive scale factor:
shape gets bigger.
enlarge

Page 1: Understanding Enlargements and Scale Factors

This page introduces the fundamental concepts of mathematical enlargements and their application. The content focuses on how shapes can be transformed using different scale factors from a centre point.

Definition: An enlargement is a transformation where a shape is made bigger or smaller from a fixed point called the centre of enlargement.

Vocabulary: Scale factor refers to how many times bigger or smaller a shape becomes during enlargement.

The page explains two main types of scale factors:

Example: With a positive scale factor of 3, all distances from the centre of enlargement are multiplied by 3, making the shape larger.

Highlight: The counting squares method involves measuring the distance from the centre of enlargement to corners in terms of squares, then multiplying these measurements by the scale factor.

For fractional scale factors, the process remains similar but results in a smaller shape:

Example: Using a scale factor of 1/3 makes the shape smaller, with all distances from the centre of enlargement being divided by 3.

Can't find what you're looking for? Explore other subjects.

Knowunity is the #1 education app in five European countries

Knowunity has been named a featured story on Apple and has regularly topped the app store charts in the education category in Germany, Italy, Poland, Switzerland, and the United Kingdom. Join Knowunity today and help millions of students around the world.

Ranked #1 Education App

Download in

Google Play

Download in

App Store

Knowunity is the #1 education app in five European countries

4.9+

Average app rating

15 M

Pupils love Knowunity

#1

In education app charts in 12 countries

950 K+

Students have uploaded notes

Still not convinced? See what other students are saying...

iOS User

I love this app so much, I also use it daily. I recommend Knowunity to everyone!!! I went from a D to an A with it :D

Philip, iOS User

The app is very simple and well designed. So far I have always found everything I was looking for :D

Lena, iOS user

I love this app ❤️ I actually use it every time I study.