1 / 17

Year 9 Enlargement

Year 9 Enlargement. Dr J Frost (jfrost@tiffin.kingston.sch.uk) . Last modified: 5 th October 2013. 8 6 4 2 -2 -4 -6. -10 -8 -6 -4 -2 2 4 6 8 10. ROTATE

temira
Download Presentation

Year 9 Enlargement

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Year 9 Enlargement Dr J Frost (jfrost@tiffin.kingston.sch.uk) Last modified: 5th October 2013

  2. 8 6 4 2 -2 -4 -6 -10 -8 -6 -4 -2 2 4 6 8 10 ROTATE Warning: Pressing this button may result in death or loss of limbs. REFLECT Warning: Pressing this button may result in bowel problems. TRANSLATE Warning: Do not press if you are pregnant or suffer from a heart condition. ENLARGE Warning: Pressing this button may result in loss of girlfriend. N

  3. y Starter 4 Describe the transformations that resulted in the 3 images. (If you finish, can you describe the transformation resulting in Image A using only reflections?) 3 Object 2 1 Image A x-5 -4 -3 -2 -1 0 1 2 3 4 5 6 -1 Image B Image C -2 -3 -4

  4. y Describing an Enlargement 4 It’s becoming 2 times as wide. 3 Image It’s becoming 4 times in size in terms of area. 2 1 Object x-5 -4 -3 -2 -1 0 1 2 3 4 5 6 -1 It’s being enlarged about some point. -2 -3 Clearly this shape is being ‘enlarged’ in some way. What two things might describe such a transformation? Click to Start Bromanimation -4

  5. y Describing an Enlargement 4 3 ...by a scale factor of 2. Image 2 1 Object x-5 -4 -3 -2 -1 0 1 2 3 4 5 6 -1 An enlargement about the point (-5, -1) -2 -3 -4

  6. y Image 4 3 2 The centre of enlargement. 1 Object x-5 -4 -3 -2 -1 0 1 2 3 4 5 6 -1 The distance from the centre is being tripled, so we have enlargement by a scale factor of 3. -2 -3 “Enlargement about the point (-3, 1) by a scale factor of 3.” -4

  7. y Object 4 3 Image 2 1 x-5 -4 -3 -2 -1 0 1 2 3 4 5 6 -1 -2 -3 “Enlargement about the point (-3, 1) by a scale factor of 1/3.” -4

  8. y Drawing an Enlargement 4 3 2 1 Image x-5 -4 -3 -2 -1 0 1 2 3 4 5 6 Object -1 -2 -3 Enlarge the shape by a scale factor of 2 about the point (0,-2) -4

  9. y 4 3 2 Image 1 Object x-5 -4 -3 -2 -1 0 1 2 3 4 5 6 -1 -2 -3 Enlarge the shape by a scale factor of -1 about the point (0,2) -4

  10. y 4 3 2 Image 1 Object x-5 -4 -3 -2 -1 0 1 2 3 4 5 6 -1 -2 -3 Enlarge the shape by a scale factor of -0.5 about the point (0,2) -4

  11. y 4 3 2 1 Object Image x-5 -4 -3 -2 -1 0 1 2 3 4 5 6 -1 -2 -3 Enlarge the shape by a scale factor of -2 about the point (1,1) -4

  12. Worksheet Time

  13. Year 9 Combined Transformations Dr J Frost (jfrost@tiffin.kingston.sch.uk) Last modified: 5th October 2013

  14. y Starter 4 (Draw this in your book!) Rotate this object 90 clockwise about the origin, then reflect in the line y = x. How could we have done the same with just one transformation? 3 Final Image Object 2 1 Image after rotation x-5 -4 -3 -2 -1 0 1 2 3 4 5 6 -1 -2 -3 -4

  15. y 4 On the same axes, now reflect the object in the y axis followed by the x axis. Again, how could we have done the same with just one transformation? 3 Object 2 1 x-5 -4 -3 -2 -1 0 1 2 3 4 5 6 -1 Final Image -2 -3 -4

  16. y 4 Sketch the following in your books. List the sequence of two transformations which results in the image. 3 2 1 Object x-5 -4 -3 -2 -1 0 1 2 3 4 5 6 -1 Image -2 -3 -4

  17. y Work in pairs: Both sketch the following in your book. Pick a reflection and a rotation of your choice*, sketch the image, then get your neighbour to try and work out the transformations you choose from the image. 4 3 2 Object 1 x-5 -4 -3 -2 -1 0 1 2 3 4 5 6 -1 -2 -3 *Although to keep things simple, the line of reflection must be in the form x = c, y = c, y = x or y = -x -4

More Related