This unit is comprised mostly of transformational geometry, but also includes 3-D geometry, which is considered a "supporting" topic in the Common Core. The Pythagorean Theorem is included here but is covered at the end of the year in the Scope and Sequence.
Properties of Transformations:
- with a compass/protractor on clear paper (no coordinate plane) 8G1, 8G2
- w/ coordinate plane (include rules, 8G3):
- Reflections: over x axis, y axis, origin (point), y = x, y = -x
- Rotations: 90, 270 (-90), 180 degrees
- Dilations: scale factors larger and smaller than 1.
- Understand that Dilation is the only transformation that does not maintain congruency of the image and pre-image.
- *Composition of transformations (8G4) : Be able to explain how to get from the original figure(pre-image) to the transformed figure (image)
- Angle-sum theorem of a triangle. Students should be able to explain why the interior angles of a triangle add up to 180 degrees.
- Angle Relationships: Supplementary, complementary, vertical, corresponding, alternate interior, alternate exterior.
- similarity of triangles (by AA - Angle Angle theorem)
NEW***Rigorous Tasks/Thinking Questions:
The link below is a great resource. The kids will need computers. I plan on using it to review at the end of the unit.
A good way to introduce new concepts