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

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Imogen

19/11/2023

Maths

Enlargement and describing enlargements

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

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

320

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 enlargementenlargement
  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 2,42,4" 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.

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Maths

320

19 Nov 2023

2 pages

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

user profile picture

Imogen

@imogen.frem98

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... Show more

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

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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 enlargementenlargement
  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 2,42,4" 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.

Sign up to see the contentIt's free!

Access to all documents

Improve your grades

Join milions of students

By signing up you accept Terms of Service and Privacy Policy

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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This apps acc the goat. I find revision so boring but this app makes it so easy to organize it all and then you can ask the freeeee ai to test yourself so good and you can easily upload your own stuff. highly recommend as someone taking mocks now

Paul T

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The app is very easy to use and well designed. I have found everything I was looking for so far and have been able to learn a lot from the presentations! I will definitely use the app for a class assignment! And of course it also helps a lot as an inspiration.

Stefan S

iOS user

This app is really great. There are so many study notes and help [...]. My problem subject is French, for example, and the app has so many options for help. Thanks to this app, I have improved my French. I would recommend it to anyone.

Samantha Klich

Android user

Wow, I am really amazed. I just tried the app because I've seen it advertised many times and was absolutely stunned. This app is THE HELP you want for school and above all, it offers so many things, such as workouts and fact sheets, which have been VERY helpful to me personally.

Anna

iOS user

Best app on earth! no words because it’s too good

Thomas R

iOS user

Just amazing. Let's me revise 10x better, this app is a quick 10/10. I highly recommend it to anyone. I can watch and search for notes. I can save them in the subject folder. I can revise it any time when I come back. If you haven't tried this app, you're really missing out.

Basil

Android user

This app has made me feel so much more confident in my exam prep, not only through boosting my own self confidence through the features that allow you to connect with others and feel less alone, but also through the way the app itself is centred around making you feel better. It is easy to navigate, fun to use, and helpful to anyone struggling in absolutely any way.

David K

iOS user

The app's just great! All I have to do is enter the topic in the search bar and I get the response real fast. I don't have to watch 10 YouTube videos to understand something, so I'm saving my time. Highly recommended!

Sudenaz Ocak

Android user

In school I was really bad at maths but thanks to the app, I am doing better now. I am so grateful that you made the app.

Greenlight Bonnie

Android user

very reliable app to help and grow your ideas of Maths, English and other related topics in your works. please use this app if your struggling in areas, this app is key for that. wish I'd of done a review before. and it's also free so don't worry about that.

Rohan U

Android user

I know a lot of apps use fake accounts to boost their reviews but this app deserves it all. Originally I was getting 4 in my English exams and this time I got a grade 7. I didn’t even know about this app three days until the exam and it has helped A LOT. Please actually trust me and use it as I’m sure you too will see developments.

Xander S

iOS user

THE QUIZES AND FLASHCARDS ARE SO USEFUL AND I LOVE THE SCHOOLGPT. IT ALSO IS LITREALLY LIKE CHATGPT BUT SMARTER!! HELPED ME WITH MY MASCARA PROBLEMS TOO!! AS WELL AS MY REAL SUBJECTS ! DUHHH 😍😁😲🤑💗✨🎀😮

Elisha

iOS user

This apps acc the goat. I find revision so boring but this app makes it so easy to organize it all and then you can ask the freeeee ai to test yourself so good and you can easily upload your own stuff. highly recommend as someone taking mocks now

Paul T

iOS user