Butterflies, Pinwheels and Wallpaper
Topics
Symmetry, congruence, similarity, transformations, transformations on coordinate grids, dilations, conditions for establishing congruence and similarity of figures, parallel lines, transversals, angle sums of polygons
Overview of Changes
Changes Name change and problems extensively rearranged
Detailed Description of Changes
The revision and retitling of the CMP2 unit Kaleidoscopes, Hubcaps, and Mirrors responds to teacher reviews of that unit and requirements of the Common Core State
Standards for Mathematics. There is more emphasis on coordinate rules for transformations.
In particular, the earlier unit’s emphasis on symmetry, kaleidoscopes, and tessellations
has been reduced, the material on coordinate rules for transformations has been moved
earlier in the unit, and a new investigation on similarity has been introduced to
satisfy CCSSM requirements. The five units in CMP2 have been reduced to four. Investigation
4: Dilations and Similar Figures is a new Investigation.
| New Investigation | Changes in CMP2 Investigation |
|---|---|
| Investigation 1 Symmetry and Transformations | Investigations 1 and 2 from CMP2 have been combined into Investigation 1. |
| Investigation 2 Transformations and Congruence | Parts of Investigation 3 from CMP2 have been moved to Investigation 2. The conditions for establishing congruence have been enhanced. |
| Investigation 3 Transforming Coordinates | Investigation 3 is now essentially Investigation 5 from CMP2. Parallel lines, transversals and angle sums have been added. |
| Investigation 4 Dilations and Similar Figures | Investigation 4 is a new investigation. |