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Texas Algebra I

Texas Algebra I. Review: Scale Factor. Lesson Objectives:. The student will be able to: Perform transformations on given geometric figures given a scale factor (both in and out of the coordinate plane) Determine the scale factor used to transform one figure to a similar one

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Texas Algebra I

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  1. Texas Algebra I Review: Scale Factor

  2. Lesson Objectives: The student will be able to: Perform transformations on given geometric figures given a scale factor (both in and out of the coordinate plane) Determine the scale factor used to transform one figure to a similar one Explain the effect using a given scale factor to transform a given figure will have on the perimeter, area, or volume of the figure.

  3. Transformations • Dilation-a transformation in which a geometric figure is enlarged or reduced using a scale factor • Scale factor- the value the dimensions of a figure are multiplied by in order to make the figure larger or smaller

  4. Sample Dilationcoordinate plane • Suppose we wanted to dilate the figure to: • 3 times its size • 2/3 its size • Both cases are the same! Simply multiply each coordinate by the given sale factor.

  5. Enlargement First, we’ll enlarge the pre-image using the scale factor of 3: (-5,8)*3 = (-15, 24) (6,4)*3 = (18, 12) (-3, -5)*3 = (-9, -15) The image produced by this transformation will be 3 times as large as the original triangle.

  6. Reduction Now, we’ll reduce the pre-image using the scale factor of 2/3: (-5,8)*2/3 = (-10/3, 16/3) (6,4)*2/3 = (4, 8/3) (-3, -5)*2/3 = (-2, -10/3) The image produced by this transformation will be 2/3 as large as the original triangle.

  7. Enlargement and Reductionout of the plane Problem: Determine the scale factor used to dilate figure 1 to figure 2.

  8. Effect of dilations on Perimeter, Area, & Volume

  9. Lesson Objectives: The student will be able to: Perform transformations on given geometric figures given a scale factor (both in and out of the coordinate plane) Determine the scale factor used to transform one figure to a similar one Explain the effect using a given scale factor to transform a given figure will have on the perimeter, area, or volume of the figure.

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