There are 366 different Starters of The Day, many to choose from. You will find in the left column below some starters on the topic of Enlargements. In the right column below are links to related online activities, videos and teacher resources.

A lesson starter does not have to be on the same topic as the main part of the lesson or the topic of the previous lesson. It is often very useful to revise or explore other concepts by using a starter based on a totally different area of Mathematics.

Main Page

Enlargements Starters:

Big Bieber: If the dimensions of an object double, its volume increases by a factor of eight.

Middle of Centres: The blue point is exactly in the middle of two red points. What are their coordinates?

Star Wars Day: Estimate the size of an alien given the size of their hand. This could be an introduction to scale factors.

Transformations

Draw transformations online and have them instantly checked. Includes reflections, translations, rotations and enlargements.

Transum.org/go/?to=transform

Curriculum for Enlargements:

Year 6

Pupils should be taught to solve problems involving similar shapes where the scale factor is known or can be found more...

Years 7 to 9

Pupils should be taught to identify and construct congruent triangles, and construct similar shapes by enlargement, with and without coordinate grids more...

Years 10 and 11

Pupils should be taught to compare lengths, areas and volumes using ratio notation and/or scale factors; make links to similarity (including trigonometric ratios) more...

Pupils should be taught to interpret and use fractional {and negative} scale factors for enlargements more...

Pupils should be taught to apply the concepts of congruence and similarity, including the relationships between lengths, {areas and volumes} in similar figures more...

Exam-Style Questions:

There are almost a thousand exam-style questions unique to the Transum website.

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Notes:

When areas and volumes are enlarged the results are far from intuitive. Doubling the dimensions of a rectangle produces a similar shape with four times the area! Doubling the dimensions of a cuboid produces a similar shape with eight times the volume!

The activities provided are intended to give pupils experiences of dealing with enlargements so that they better understand the concept and are able to produce diagrams, make models and answer questions on this subject.

Once positive integer scale factors have been mastered the notion of fractional and negative scale factors await discovery!

Enlargements Activities:

Transformations: Draw transformations online and have them instantly checked. Includes reflections, translations, rotations and enlargements.

Map Scales: Test your understanding of map scales expressed as ratios with this self marking quiz.

Similar Shapes: Questions about the scale factors of lengths, areas and volumes of similar shapes.

Blow Up: Click on all the points that could be the centre of enlargement of the shape if the image does not go off the grid.

Enlargements Videos:

Transum's Enlargements Video

Enlargement by a scale factor: A Maths teacher goes through the idea of enlarging a shape from a centre of enlargement.

Enlargements: How to enlarge a shape by a positive scale factor and a centre of enlargement. Includes a scale factor less than 1 and a centre of enlargement inside the shape.

Scale Factors Video: The scale factor, area factor and volume factor of similar shapes are quite different.

Negative Enlargement: A video from MathsWatch about Enlargement by a Negative Scale Factor.

Links to other websites containing resources for Enlargements are provided for those logged into 'Transum Mathematics'. Subscribing also opens up the opportunity for you to add your own links to this panel. You can sign up using one of the buttons below:

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Blow Up

Click on all the points that could be the centre of enlargement of the shape if the image does not go off the grid.

Transum.org/go/?to=blowup

Teaching Notes:

Many Transum activities have notes for teachers suggesting teaching methods and highlighting common misconceptions. There are also solutions to puzzles, exercises and activities available on the web pages when you are signed in to your Transum subscription account. If you do not yet have an account and you are a teacher, tutor or parent you can apply for one by completing the form on the Sign Up page.

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