Course 3 Online!
Henrico County Public Schools, Virginia
8.8 - Transformations
Number and Number Sense, Computation and Estimation

Measurement and Geometry

Probability, Statistics, Patterns, Functions, and Algebra

SOL Review Materials
Geometry
Focus: Problem Solving with 2- and 3-Dimensional Figures


The student will
a)   apply transformations to plane figures; and
b)   identify applications of transformations. 
Essential Knowledge and Skills 
  • Demonstrate the reflection of a polygon over the vertical or horizontal axis on a coordinate grid.
  • Demonstrate 90°, 180°, 270°, and 360°clockwise and counterclockwise rotations of a figure on a coordinate grid. The center of rotation will be limited to the origin.
  • Demonstrate the translation of a polygon on a coordinate grid.
  • Demonstrate the dilation of a polygon from a fixed point on a coordinate grid.
  • Identify practical applications of transformations including, but not limited to, tiling, fabric, and wallpaper designs, art and scale drawings.
  • Identify the type of transformation in a given example.
Essential Understandings
  • How does the transformation of a figure on the coordinate grid affect the congruency, orientation, location and symmetry of an image? Translations, rotations and reflections maintain congruence between the preimage and image but change location. Dilations by a scale factor other than 1 produce an image that is not congruent to the pre-image but is similar. Rotations and reflections change the orientation of the image.
Vertical Articulation
  1. SOL 6.11ab - a) identify coordinates of a point in a coordinate plane; b) graph ordered pairs in coordinate plane
  2. SOL 7.8 - represent transformations of polygons in the coordinate plane by graphing
Instructional Materials
  1. VDOE Enhanced Scope and Sequence Lesson: Transformations (PDF) - Applying transformations (Word)
  2. Notes: Transformations (flipchart)
  3. Notes: Transformations #2 (flipchart)
  4. Notes: Transformations (ppt)
  5. Guided Notes: Transformations (flipchart)
  6. Notes: Totally Transformed MSiC Lesson using Sketchpad (ppt)
  7. Notes: Vocabulary Definitions (doc)
  8. Notes: Transformations Chart (doc)
  9. Notes: Transformation Directions - Geometer's Sketchpad (pdf)
  10. Guided Notes: How do Transformations Affect Shapes (doc)
  11. Project: Transformations (doc)
  12. VDOE Algebra Readiness Curriculum Companion: Working with Polygons (pdf)
Real World Lessons
Practice
  1. Transformations Practice (flipchart)
  2. Worksheet: Translations Practice (pdf)
  3. Worksheet: Transformations Practice #1 (doc)
  4. Worksheet: Transformations Practice #2 (doc)
  5. Worksheet: Describe the Transformation #1 (pdf) | Describe the Transformation #2 (pdf)
  6. Worksheet: Transformations Code Practice (pdf)
  7. Quiz: Rotation of Points (pdf)
Self-Assessments
  1. SOL 8.8 Mini-Quiz: Transformations
Skills
  1. Mathematics Assessment Project: A04:Aaron's Designs - Apprentice - In this task, you will create a design using rotations and reflections.
Videos
  1. Learn Alberta: Exploring Dilations
Explore Learning
  1. Dilations: Dilate a figure and investigate its resized image. See how scaling a figure affects the coordinates of its vertices, both in (x, y) form and in matrix form.
  2. Quilting Bee (Symmetry): Participate in an old-fashioned quilting bee and create a colorful, symmetrical quilt. Quilts can be created with a vertical, horizontal, or diagonal line of symmetry. Quilts can be folded to look for reflections, or rotated to test for rotational symmetry.
  3. Reflections: Reshape and resize a figure and examine how its reflection changes in response. Move the line of reflection and explore how the reflection is translated.
  4. Rock Art (Transformations): Create your own rock art with ancient symbols. Each symbol can be translated, rotated, and reflected. After exploring each type of transformation, see if you can use them to match ancient rock paintings.
  5. Rotations, Reflections and Translations: Rotate, reflect, and translate a figure in the plane. Compare the translated figure to the original figure.
Websites
  1. Shodor: Transmographer - Explore the world of translations, reflections, and rotations. 
  2. NLVM: All transformations
  3. NLVM: Playing with Dilations
  4. NLVM: Playing with Reflections
  5. NLVM: Playing with Rotations
  6. NLVM: Playing with Translations
  7. Learn Alberta: Exploring Dilatations (Object Interactive)
  8. Learn Alberta: Exploring Tessellations and Transformations (Object Interactive)
VDOE Interventions
  1. VDOE Algebra Readiness Curriculum Companion: Working with Polygons - The lessons focus on identifying, classifying, describing, and comparing plane figures. Students determine similarity and congruence of figures and work with transformations.(pdf)
Common Core Standards
8.G.1
8.G.2
8.G.3
8.G.4
G-CO.5
G-SRT.1