Course 3 Online!
Henrico County Public Schools, Virginia
 Home Pacing SOL Tracker Math 8 Standards Virginia Department of Education Return to HCPS Math Courses Important News: Effective August 15, 2018, this site will be realigning to the 2016 SOL. As a result, many of the instructional notes, activities, and worksheets will be removed. Please download any files you wish to keep for future use.
8.8 - Transformations
 Number and Number Sense, Computation and Estimation Measurement and Geometry Probability, Statistics, Patterns, Functions, and Algebra SOL Review Materials Frequently Asked Questions
 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. HCPS Course 3 Curriculum Guide
 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
Real World Lessons
Practice
Self-Assessments
Skills
1. Mathematics Assessment Project: A04:Aaron's Designs - Apprentice - In this task, you will create a design using rotations and reflections.
Videos
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
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