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.
Small images of these Starters :: Index of Starters
Curriculum for Enlargements:Year 6Pupils should be taught to solve problems involving similar shapes where the scale factor is known or can be found more... Years 7 to 9Pupils should be taught to identify and construct congruent triangles, and construct similar shapes by enlargement, with and without coordinate grids more... Years 10 and 11Pupils 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... 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I set it as an optional piece of work for my year 11's over a weekend and one girl came up with 3 independant solutions." Comment recorded on the 19 November 'Starter of the Day' page by Lesley Sewell, Ysgol Aberconwy, Wales: "A Maths colleague introduced me to your web site and I love to use it. The questions are so varied I can use them with all of my classes, I even let year 13 have a go at some of them. I like being able to access Starters for the whole month so I can use favourites with classes I see at different times of the week. Thanks." Comment recorded on the 24 May 'Starter of the Day' page by Ruth Seward, Hagley Park Sports College: "Find the starters wonderful; students enjoy them and often want to use the idea generated by the starter in other parts of the lesson. Keep up the good work" Comment recorded on the 2 April 'Starter of the Day' page by Mrs Wilshaw, Dunsten Collage,Essex: "This website was brilliant. My class and I really enjoy doing the activites." 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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 volume! Doubling the dimensions of a cuboid produces a similar shape with eight times the volume! Enlargements Activities: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. 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. Transformations: Draw transformations online and have them instantly checked. Includes reflections, translations, rotations and enlargements. Enlargements Videos: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. Negative Enlargement: A video from MathsWatch about Enlargement by a Negative Scale Factor. Scale Factors Video: The scale factor, area factor and volume factor of similar shapes are quite different. Enlargements External Links: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: SearchThe activity you are looking for may have been classified in a different way from the way you were expecting. You can search the whole of Transum Maths by using the box below.

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