Free Math Worksheets on Transformation Reflections

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					                                                          Thomas, Carissa
                                                 Multimedia Lesson #2 – Plan

                        “Symmetry and Reflections”

Introduction
      Middle school students are frequently asked to use spatial
visualization skills to estimate and compare various quantities. Exploring
the geometric concepts of symmetry and reflection develop this spatial
sense. Aside from being beneficial to future mathematics courses, these
concepts extend into areas of fine art, industrial art, home economics, and
science.

Explanation of the Math
       When two halves of a figure are mirror images of one another, the
figure is said to have line symmetry. The line that separates the figure into
these matching halves is the line of symmetry. A reflection is a
transformation that flips a figure over a line called the line of reflection. On
the coordinate plane, there are general rules that explain the reflection of
paints over the x- and y-axes: (x,y) reflected over the x-axis is (x, -y), and
(x,y) reflected over the y-axis is (-x, y).

Instructional Methods
      Begin with the Teacher-centered instruction presented in the Power
Point lesson. Pause at appropriate points for paper practice and discovery
learning. Allow pairs of students to discuss lines of symmetry on worksheet
13-5 and reflections over the x- and y-axes in the dynamic worksheets.
Allow volunteers to move in front of the full-length mirror and explain
findings to class. Have students further self-assess their understanding
with immediate feedback by completing the matching exercises to reflect
points and the dynamic worksheet to reflect a triangle. Finally, assess
students’ application of these skills using the enrichment worksheet 10-7.



Step-by-Step
    Introduce topic and initiate classroom discussion to build interest
          A butterfly, dragonfly, and snowflake have a common
           characteristic that relates to math: symmetry! Use a mirror
           along the line of symmetry to prove it.
          Emphasize ideas of “mirror image” and “reflection” along this
            line.
          Have students think of other figures in nature or capital letters
            that have symmetry.
     Teach with Power Point presentation
          Identify objectives and vocabulary – slide 2
          Display directions for paper practice Worksheet 13-5 – slide 4
          Circulate and facilitate as students complete worksheet
          Do mirror demonstration with volunteer and discuss – slide 5
          Display directions for discovery learning in GeoGebra – slide 6
                      This slide corresponds to 2 dynamic worksheets:
                        1)Reflecting a Point over the X-axis, and
                        2)Reflecting a Point Over the Y-axis
                      Students will manipulate the point on each
                        worksheet and summarize findings on paper
          Review graphing a point – slide 7
          Model reflection of a point over axis – slide 8
          Discuss reflection of a figure on coordinate plane – slide 9
          Ask critical-thinking questions as suggested throughout show
     Have students work on dynamic worksheet “Reflect a Triangle Over
      the Y-axis”
         o Circulate and facilitate
     Have students complete match activities to 1) Reflect Points Over the
      X-axis and 2) Over the Y-axis
          Record student scores
     Assess students with enrichment worksheet 10-7

Closure
       Review key concepts of symmetry and reflection. Ask students to
share something they learned, or describe a lesson connection to the real-
world. Explain how this lesson provides a foundation for future work with
transformations on the coordinate plane including translations and rotations
of figures.

				
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