Why do the same, self-repeating patterns appear in trees, rivers, lightning, and even our bodies? Is there some essential, hidden rule of nature that makes these intricate designs appear all over the place? Let’s talk about fractals.

What exactly are fractals? A common misconception is that they are shapes which look exactly like themselves when you zoom in. In fact, the definition has something to do with the idea of "fractal dimension".

What exactly are fractals? A common misconception is that they are shapes which look exactly like themselves when you zoom in. In fact, the definition has something to do with the idea of "fractal dimension".

Pupil outcome: You can identify and describe the relationship between two regular polygons using scale factors Key learning points: - Two similar shapes can be described as being 'x' times greater or smaller than each other. - If one...

Pupil outcome: I can describe an enlargement and perform a given enlargement on an object. Key learning points: - Each length in the shape is multiplied by the scale factor. - Each vertex in the object is a given distance from the centre...

Pupil outcome: I can differentiate between shapes which are congruent or similar or neither. Key learning points: - If two shapes are congruent, then they are similar. - Congruent shapes have a scalar of one. - A ratio table can be a...

Pupil outcome: I can describe an enlargement. Key learning points: - If the image is the opposite side of the centre of enlargement and rotated 180°, there is a negative scale factor. - If the image has changed size, there has been an...

Pupil outcome: I can calculate the scale factor used to enlarge a volume and use it to find missing lengths. Key learning points: - You can calculate the scale factor from the two volumes. - Having calculated the scale factor, you can...

Pupil outcome: I can calculate the scale factor used to enlarge an area and use it to find missing lengths. Key learning points: - You can calculate the scale factor from the two areas. - Having calculated the scale factor, you can find...

Pupil outcome: I can understand the minimum information required to describe an enlargement Key learning points: - The scale factor is the multiplier. - The centre of enlargement defines where the image will be placed in relation to the...

Pupil outcome: You can identify and describe the relationship between two irregular polygons using scale factors Key learning points: - Two similar shapes can be described as being 'x' times greater or smaller than each other. - If one...

Pupil outcome: I can recognise that similar shapes have sides in proportion to each other but angle sizes are preserved. Key learning points: - An enlargement means a change in size. - The lengths of the lines may change when enlarged. -...

This video explains what similar shapes are and how to use scale factors to find the missing length of one of the sides.



This video is suitable for maths courses around
the world.
KS3 - All
on your course
GCSE...

This video explains what congruent shapes are. I.e. shapes that are the same shape and size, but may have different orientation (e.g. could have been rotated or reflected).



This video is suitable for maths courses around...

In this video we are going to look at Similar and Congruent shapes.



Similar and Congruent shapes are seen throughout designs and make it much easier. In this image, only two shapes have been drawn and then by...

This video provides an introduction to working with similar shapes and calculating scale factors in multiple dimensions. The presenter explains the properties of similar shapes and how to calculate the linear, area, and volume scale...

SchoolOnline's Secondary Maths videos are brilliant, bite-size tutorial videos delivered by examiners. Ideal for ages 13-17, they cover every key topic and sub topic covered in GCSE Maths in clear and easy to follow...

SchoolOnline's Secondary Maths videos are brilliant, bite-size tutorial videos delivered by examiners. Ideal for ages 13-17, they cover every key topic and sub topic covered in GCSE Maths in clear and easy to follow...

SchoolOnline's Secondary Maths videos are brilliant, bite-size tutorial videos delivered by examiners. Ideal for ages 13-17, they cover every key topic and sub topic covered in GCSE Maths in clear and easy to follow...

This video is a lecture presentation on congruence, where the speaker explains what it means for shapes to be congruent versus similar, and how to determine if two shapes are congruent. The presenter also gives examples of using tracing...

This video discusses the concept of similarity in one dimension for mathematically similar shapes.The scale factor formula is introduced as a means to calculate missing side lengths by comparing two comparative lengths on each shape. The...

SchoolOnline's Secondary Maths videos are brilliant, bite-size tutorial videos delivered by examiners. Ideal for ages 13-17, they cover every key topic and sub topic covered in GCSE Maths in clear and easy to follow...

Similar Shapes | Geometry | Maths | FuseSchool



In this video we are going to look at similar shapes. Similar shapes are the exact same shape, but may be different sizes. Like a photocopier can increase the size of a page...

This video shows the process for solving the problem presented in IGCSE A June 2018 paper 2H Q6, which involves similar shapes. Students will understand the properties of cylinders and their components. They will apply the formula for...