How to Discover Rotation Rules

Prior knowledge:
- Vocabulary (rigid motion, transformation, rotation, quadrants, clockwise, counterclockwise)
- how to graph on a coordinate plane
Materials:
- pre-printed graphs with a figure in quadrant I (Here are the ones I use.)
- old laminating sheets cut into squares (I am sure your school has some old ones sitting around. Look around before you buy- they aren’t super cheap to buy new.)
- push pins
- tiny brads (These are super cheap. I have found them at Hobby Lobby and Amazon.)
- Sharpies or felt tip pens
The Process
Check out this video I made for Instagram (Managing and Motivating Math Minds on Instagram) of how to construct the manipulative.
(I usually have the students make their own manipulative in class, but if you are short on class time, you can prepare these ahead of time. Also, patty paper can be used in place of the transparency paper. These just seem to last and hold up better in their interactive notebooks.)
Once they have made their manipulative, they should work in groups or go through it together as a whole class discussion. I provide them with a table/graphic organizer to visualize the patterns, which leads them to a discovery of the rules.
I follow up with a foldable from Lisa Davenport so students can synthesize their thoughts into one location in their notebook.
Then, students apply their learning with practice questions in the form of these task cards or Boom cards™.