Course 2 Online!
Henrico County Public Schools, Virginia
7.8 - Transformations
Number, Number Sense, Computation and Estimation

Measurement and Geometry

Probability, Statistics, Patterns, Functions, and Algebra

SOL Review Materials
Geometry
Focus: Relationships between Figures


The student, given a polygon in the coordinate plane, will represent transformations (reflections, dilations, rotations, and translations) by graphing in the coordinate plane. 
Essential Knowledge and Skills 
  • Identify the coordinates of the image of a right triangle or rectangle that has been translated either vertically, horizontally, or a combination of a vertical and horizontal translation.
  • Identify the coordinates of the image of a right triangle or rectangle that has been rotated 90° or 180° about the origin.
  • Identify the coordinates of the image of a right triangle or a rectangle that has been reflected over the x- or y-axis.
  • Identify the coordinates of a right triangle or rectangle that has been dilated. The center of the dilation will be the origin.
  • Sketch the image of a right triangle or rectangle translated vertically or horizontally.
  • Sketch the image of a right triangle or rectangle that has been rotated 90° or 180° about the origin.
  • Sketch the image of a right triangle or rectangle that has been reflected over the x- or y-axis.
  • Sketch the image of a dilation of a right triangle or rectangle limited to a scale factor of 1/4, 1/2, 2, 3 or 4.
Essential Understandings
  • How does the transformation of a figure affect the size, shape and position of that figure? Translations, rotations and reflections do not change the size or shape of a figure. A dilation of a figure and the original figure are similar. Reflections, translations and rotations usually change the position of the figure.
Vertical Articulation
  • SOL 5.11 - measure right/acute/obtuse/straight angles
  • SOL 6.11ab - a) ID coordinates of a point in a coordinate plane; b) graph ordered pairs in coordinate plane
  • SOL 8.8ab - a) apply transformations to plane figures; b) ID applications of transformations
Instructional Materials
  1. VDOE Enhanced Scope and Sequence Lesson: Rotation (PDF) - Rotating a polygon on the coordinate plane (Word)
  2. VDOE Enhanced Scope and Sequence Lesson: Dilation (PDF) - Dilate a polygon (Word)
  3. VDOE Enhanced Scope and Sequence Lesson: Translation and Reflection (PDF) - Translating and reflecting polygons on the coordinate plane (Word)
  4. Notes: Transformations (flipchart)
  5. Notes: Transformations (ppt)
  6. Activity: Tetris (pdf)
  7. VDOE Algebra Readiness Curriculum Companion: Working with Polygons (pdf)
Real World Lessons
Practice
  1. Worksheet: Reflections (pdf)
  2. Worksheet: Rotations (pdf)
  3. Quiz: Rotations (pdf)
  4. Worksheet: Translations CW (pdf)
  5. Worksheet: Translations HW (pdf)
  6. Worksheet: Translations of Shapes (pdf)
  7. Worksheet: Translations, Rotations, and Reflections CW (pdf)
  8. Worksheet: Translations, Rotations, and Reflections HW (pdf)
  9. Worksheet: Transformations (pdf)
  10. Worksheet: Transformations Practice (pdf)
SOL Mini Quiz
  1. SOL 7.8 Mini Quiz: Transformations (pdf) | (doc)
Skills
  1. Mathematics Assessment Project: A04:Aaron's Designs - Apprentice - In this task, you will create a design using rotations and reflections.
Videos
  1. YouTube: Gangnam Style Song (Transformation Style)
  2. PH: Identifying translations
  3. PH: Writing a rule to describe a translation
  4. PH: Graphing rotations
  5. PH: Graphing reflections of a shape
  6. PH: Drawing lines of symmetry
  7. PH: Graphing translations
  8. PH: Graphing reflection of a shape
  9. PH: Graphing rotations
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
  2. NLVM: Playing with Dilations
  3. NLVM: Playing with Rotations
  4. NLVM: Playing with Reflections
  5. NLVM: Playing with Translations
  6. NLVM: Hitting a Target - Multiple Transformations
  7. Flashy Math: Transformation Station Game
  8. LearnAlberta: Exploring Dilations
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
7.G.1
8.G.1
8.G.2
8.G.3
8.G.4
G-CO.4