Explore properties of transformations with the purpose of noticing patterns, making generalizations, and developing rules.
Project (or provide copies) of the Hook Overhead Sheet (PDF).
To stimulate curiosity and increase student motivation, lead the class in a brief visible thinking routine called "I see, I think, I wonder". This type of experience sets the stage for inquiry-based learning. Encouraging students to be creative and thoughtful with their observations and interpretations helps promote discourse in the classroom. (More research and graphic organizers for this routine can be found online).
Allow students 3-5 minutes to write their response prior to sharing in class.
This can be done in a variety of ways. For example:
When sharing begins, encourage students to state all three of their responses at the same time, i.e. “I see… I think… I wonder…”
Develop an understanding of translations in the coordinate plane and determine general rules for translations through exploration.
Develop an understanding of reflections in the coordinate plane, and determine general rules for reflections through exploration.
Explore rotations on a coordinate plane where (0,0) is the center; determine general rules for rotations.
Students will develop an understanding of dilations on the coordinate plane and general rules for dilating an image through exploration.
What are general rules and patterns for applying each transformation to an image? Which properties of the image are preserved through each transformation?
CCSS, Content Standards to Domain Level
CCSS, Standards for Mathematical Practices
Original Sources: Adapted from an Illuminations’ lesson plan: Flip-n-Slide: Exploring Transformations through Modelings and Computer Games
Original Author(s): Susan James
Arc Author(s): Amber Candela, AnnMarie Varlotta
New Editors: Katelyn Albright, Autumn Elrod, Jennifer Plumb, and AnnMarie Varlotta