In the Rotations “lesson bundle”, students will explore rotations and their properties. Throughout the lessons, students are encouraged to make observations related to their investigations, leading them to discovering the properties of rotated figures. Explorations can be done via rotations on a grid and without a grid.

In the "Dilations- Lesson Bundle", students will explore dilations and their properties. Throughout the lessons, students will be encouraged to make observations related to their investigations, leading them to discover the properties of dilated figures.

Investigate translating and reflecting shapes in the coordinate plane and observe how the new image is related to the original shape.

Explore using a translated figure to create a glide reflection.

Students will reflect figures over the x- and y-axes. By studying what happens to the coordinates of the pre-image and image points, they will write rules for reflecting points over the axes. Students will then rotate figures about the origin, in both clockwise and counterclockwise directions. Again, they will study what happens to the coordinates of the pre-image and image points to write rules for reflecting points 90° and 180° about the origin.

Explore regular polygons to find out which regular polygons will tessellate the plane.

Explore what a reflection does to an object.

Explore clockwise and counterclockwise rotations to discover the properties of the pre-image and image of a triangle.

Investigate what a triangle will look like when it is translated horizontally or vertically.

Students use list operations to perform reflections, rotations, translations and dilations on a figure, and graph the resulting image using a scatter plot.