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Module 8.3 lesson 3 examples of dilations'

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Erik Tjersland

This document contains notes from a math lesson on dilations. It discusses how to accurately dilate circles using enough points and the proper location of points. It also covers how to reverse a dilation by using the reciprocal of the original scale factor. Examples are worked through of dilating triangles and circles and reversing dilations. The homework assignment is to complete problems from pages 19 and 18 in the textbook.

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Module 8.3 Lesson 3 Examples of Dilations.notebook 1 May 24, 2016 5/24/25 Lesson #3­3: Examples of Dilations HW:  Page 19 #3­5 and CRS 18 due tomorrow Do now: Complete Page 12 #2 using O as the  center (not O`)
Module 8.3 Lesson 3 Examples of Dilations.notebook 2 May 24, 2016 0° 280
Module 8.3 Lesson 3 Examples of Dilations.notebook 3 May 24, 2016
Module 8.3 Lesson 3 Examples of Dilations.notebook 4 May 24, 2016
Module 8.3 Lesson 3 Examples of Dilations.notebook 5 May 24, 2016 How many points would you need to separate the circle into to draw an accurate dilated image? Page 15 Use Compass
Module 8.3 Lesson 3 Examples of Dilations.notebook 6 May 24, 2016 How many points would you need to separate the circle into to draw an accurate dilated image? Page 15 Use Compass 9° 160
Module 8.3 Lesson 3 Examples of Dilations.notebook 7 May 24, 2016 How many points would you need to separate the circle into to draw an accurate dilated image? Page 15 0° 135
Module 8.3 Lesson 3 Examples of Dilations.notebook 8 May 24, 2016 Would you be able to produce a circle as an image from the number of points used in this example? Page 15
Module 8.3 Lesson 3 Examples of Dilations.notebook 9 May 24, 2016 What's wrong with using these points?
Module 8.3 Lesson 3 Examples of Dilations.notebook 10 May 24, 2016 What about this image. Does it look like a circle?
Module 8.3 Lesson 3 Examples of Dilations.notebook 11 May 24, 2016 The number of points to dilate that is enough is as many as are needed to produce a dilated image that looks like the original. For curved figures, like this circle, the more points you dilate the better. The location of the points you choose to dilate is also important.
Module 8.3 Lesson 3 Examples of Dilations.notebook 12 May 24, 2016 Page 16Use Compass 18° 118
Module 8.3 Lesson 3 Examples of Dilations.notebook 13 May 24, 2016 Page 16
Module 8.3 Lesson 3 Examples of Dilations.notebook 14 May 24, 2016 Page 16 0° 152
Module 8.3 Lesson 3 Examples of Dilations.notebook 15 May 24, 2016 Page 16 0° 144
Module 8.3 Lesson 3 Examples of Dilations.notebook 16 May 24, 2016 Page 16
Module 8.3 Lesson 3 Examples of Dilations.notebook 17 May 24, 2016 What can we do to map this new triangle, triangle A'B'C', back to the original triangle? Be as specific as possible! Page 17
Module 8.3 Lesson 3 Examples of Dilations.notebook 18 May 24, 2016 Reverse a dilation by using a scale factor that  is the multiplicative inverse (reciprocal) of the  first scale 
Module 8.3 Lesson 3 Examples of Dilations.notebook 19 May 24, 2016 Original Dilation scale factor: 2 Scale factor to reverse the dilation: Original Dilation scale factor: 1 7 Scale factor to reverse the dilation: Original Dilation scale factor: 2 3 Scale factor to reverse the dilation:
Module 8.3 Lesson 3 Examples of Dilations.notebook 20 May 24, 2016 Step 1- Measure the distances between point O and A and point O and A'. |OA| = 6 units |OA'| = 2 units 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 0 1 2 3 4 5 58°
Module 8.3 Lesson 3 Examples of Dilations.notebook 21 May 24, 2016 Step 2- Compare the distances and create an equation! You want to now go from A' to A. |OA| = 6 units |OA'| = 2 units Think!!! What can I multiply |OA'| by to give me |OA|.
Module 8.3 Lesson 3 Examples of Dilations.notebook 22 May 24, 2016 If a figure is dilated by scale factor, r, to bring the  dilated figure back to the original size, we must  dilate it by a scale factor of      . If a scale factor is r =6, then the bring a dilated  figure back to the original size, the scale factor  must equal ________. (reciprocal)
Module 8.3 Lesson 3 Examples of Dilations.notebook 23 May 24, 2016 Page 17
Module 8.3 Lesson 3 Examples of Dilations.notebook 24 May 24, 2016 Page 18
Module 8.3 Lesson 3 Examples of Dilations.notebook 25 May 24, 2016 Page 18
Module 8.3 Lesson 3 Examples of Dilations.notebook 26 May 24, 2016 0° 122
Module 8.3 Lesson 3 Examples of Dilations.notebook 27 May 24, 2016 0° 152
Module 8.3 Lesson 3 Examples of Dilations.notebook 28 May 24, 2016 0° 127
Module 8.3 Lesson 3 Examples of Dilations.notebook 29 May 24, 2016 0° 127
Module 8.3 Lesson 3 Examples of Dilations.notebook 30 May 24, 2016
Module 8.3 Lesson 3 Examples of Dilations.notebook 31 May 24, 2016
Module 8.3 Lesson 3 Examples of Dilations.notebook 32 May 24, 2016

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