Enlargement fractional scale factor

The booklet consists of a worked example for student notes and to teach students how to enlarge a shape by a given scale factor, find the centre of enlargement and calculate the scale factor.The scale factor, or linear scale factor, is the ratio of two corresponding side lengths of similar figures.

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A scale factor can be expressed as a fraction or as a decimal.

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Geogebra is used to demonstrate dynamic transformations using various objects and scale factors.

Students need to understand the concept of scale factor as the amount of enlargement or reduction needed to create an object similar in shape but different in size to the given object and that scale.

B Grade Distinguish between formulae for perimeter, area and volume by considering dimensions.C Grade Enlarge a shape by a fractional scale factor Compare the area of an enlarged shape with the original shape Find the centre of enlargement.The lesson begins by teaching you that a scale factor is needed to make an enlargement.

Geogebra is used to demonstrate dynamic transformations of various objects with negative scale factors.Enlargement using a negative scale factor is equivalent to a rotated enlargement using a positive scale factor.In the below activity the blue shape has been enlarged about the green point by a scale factor of 2 to produce the green shape.

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Learning progresses from enlarging shapes to a positive scale factor to fractional scale factors.

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Side length of scale drawing Side length of original drawing Remember a fraction or decimal is okay Reductions, Enlargements and the Scale Factor The red square has side lengths of 3.As learning progresses they are challenged to consider more complex transformations such as fractional scale factor enlargements.If you begin with the larger figure, your scale factor will be greater than one.

Students learn how to perform and describe enlargements on a grid using a centre and scale factor.Enlargement: Worksheets with Answers Whether you want a homework, some cover work, or a lovely bit of extra practise, this is the place for you.

For the diagram above, the scale factor is, or 2.5. Compare the matching lengths in the scale diagram and in the original diagram.Scale Factor and Similarity In this chapter you will be learning about scale models and their relationship to scale factors and similarities.A scale model is built using a scale factor of 0.005. Determine the height of the model to the nearest centimetre, if necessary. 27. A hockey rink measures 52 m by 23 m.

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More able students are challenged to describe as well as perform enlargements by finding the centre and scale factor.The.

The scale factor, sometimes called the scalar factor, measures how much larger or smaller the image is.Outstanding: Describe and identify enlargements using fractional and negative scale factors Good: Carry out enlargements using fractional and negative scale factors Negative Scale Factor Shape on other side of centre of.The example below shows an enlargement of triangle ABC with scale factor 2 and centre of enlargement (1,1).Fractional scale factor You already know that the size of an enlargement is described by its scale factor.

Below is a picture of each type of dilation (one that gets larger and one that gest smaller) Below is a picture of each type of dilation (one that gets larger and one that gest smaller).Scale Factor Enlargement Triangle 1 has a length of 8 and a height of 5.

The larger the scale factor, the larger your cartoon will become.

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Change the centre of enlargement, the enlargement scale factor, or the shape itself to further challenge your students Video Tutorials The following video takes you through, step-by-step, some of the ways you can use Autograph to look at the topic of enlargements.

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The scale factor from the first figure to the second is always the reciprocal of the scale factor from the second figure to the first.

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The scale factor of enlargement is the number that all the original lengths are multiplied by to produce the image.