Butterflies, Pinwheels, and Wallpaper

Butterflies, Pinwheels and Wallpaper Online book

Investigation 1 - Symmetry and Transformations

1.1- Butterfly Symmetry - Line of Reflection

1.2 - In a Spin: Rotations

1.3 - Sliding Around: Translations

1.4 - Properties of Transformations

Investigation 2 - Transformations and Congruence

2.1 - Connecting Congruent Polygons

2.2 - Supporting the World: Congruent Triangles I

2.3 - Minimum Measurement: Congruent Triangles II

Investigation 3 - Transforming Coordinates

3.1 - Flipping on a Grid: Coordinate Rules for Reflections

3.2 - Sliding on a Grid: Coordinate Rules for Translations

3.3 - Spinning on a Grid: Coordinate Rules for Rotations

3.4 - A Special Property of Translations and Half-Turns

3.5 - Parallel lines, Transversals, and Angle Sums

Investigation 4 - Dilations and Similar Figures

4.1 - Focus on Dilations

4.2 - Return of the Super Slueth: Similarity Transformations

4.3 - Checking Similarity without Transformations

4.4 - Using Similar Triangles