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.
Unit Overview:
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.
Investigations
A good way to introduce new concepts
investigation_reflectional_symmetry.doc | |
File Size: | 80 kb |
File Type: | doc |
investigation_reflections1.doc | |
File Size: | 114 kb |
File Type: | doc |
investigation_reflections2.doc | |
File Size: | 74 kb |
File Type: | doc |
investigation_reflections3.doc | |
File Size: | 28 kb |
File Type: | doc |
investigation_rotations1.docx | |
File Size: | 57 kb |
File Type: | docx |
investigation_translations.doc | |
File Size: | 78 kb |
File Type: | doc |
composite_transformations_investigation_activity.doc | |
File Size: | 28 kb |
File Type: | doc |
HW Assignments
assignment_8_reflections.pdf | |
File Size: | 200 kb |
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assignment_9_reflections.pdf | |
File Size: | 184 kb |
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assignment10_reflections.pdf | |
File Size: | 197 kb |
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assignment11_rotations.pdf | |
File Size: | 179 kb |
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assignment_12_rotations.pdf | |
File Size: | 261 kb |
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assignment13_transformations.pdf | |
File Size: | 188 kb |
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Assessments
quiz6_reflections.doc | |
File Size: | 244 kb |
File Type: | doc |
quiz_7_transformations.doc | |
File Size: | 218 kb |
File Type: | doc |
quiz_8_transformations.pdf | |
File Size: | 233 kb |
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unit_exam_transformations.docx | |
File Size: | 308 kb |
File Type: | docx |
Tasks
geometry_review_sheet_2012-2013_mckinley-1.docx | |
File Size: | 40 kb |
File Type: | docx |
reflections_task1.doc | |
File Size: | 101 kb |
File Type: | doc |
transformations_review.doc | |
File Size: | 494 kb |
File Type: | doc |
Older exams/resources
transformations2.docx | |
File Size: | 168 kb |
File Type: | docx |
transformations_2.docx | |
File Size: | 402 kb |
File Type: | docx |
transformationsamplequestions.doc | |
File Size: | 141 kb |
File Type: | doc |
test_4_angle_relationships_1.doc | |
File Size: | 110 kb |
File Type: | doc |
angle_test_1.doc | |
File Size: | 219 kb |
File Type: | doc |