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Understanding Dilations: Graphing, Scale Factors, and Similar Polygons in FLEX Wednesday Class

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Join us for FLEX Wednesday as we explore the concept of dilations in mathematics. We will determine whether polygons are similar and focus on graphing dilations on a coordinate plane. Key vocabulary includes dilation, center, and scale factor. Learn to calculate new coordinates by applying scale factors, and complete your understanding with hands-on graphing exercises. Don't forget your homework from pages 228-229! Let's deepen our knowledge of geometric transformations together!

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Understanding Dilations: Graphing, Scale Factors, and Similar Polygons in FLEX Wednesday Class

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  1. Materials Reminders

  2. Get out your agenda if you see your name below. I would like to have you in my FLEX Wednesday.

  3. Musical Math Determine whether the following polygons are similar. 4 4 6 6 2 3

  4. Cornell Notes Topic: 4-7 Dilations Essential Question(s): How do I graph dilations on a coordinate plane?

  5. Important Vocabulary Dilation– the image produced by enlarging or reducing a figure Center– a fixed point used for measurement when altering the size of an image

  6. Questions: Notes: Cornell Notes How do I find the coordinates for a new, dilated figure? Complete the following table by substituting the scale factor for the variable, a. hint: just multiply all of the coordinates by the scale factor

  7. Drawing Dilations • Use the provided graph paper to draw dilations of the provided figures.

  8. Graphing Dilations • Use the provided graph paper to draw dilations of the provided figures.

  9. Questions: Notes: Cornell Notes How do I find and classify a scale factor? Steps Write a ratio of the x or y-coordinate of one vertex of the dilation (NEW figure) to the x or y-coordinate of the original (OLD) figure. Example: The Scale Factor is 3 If the scale factor is greater than one the dilation is and ENLARGEMENT If the scale factor is less than one the dilation is a REDUCTION

  10. Homework Page 228-229; 7-16 and 20 AND Cornell Notes Summary

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