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.