Similarity and Transformations
Understanding that two-dimensional figures are similar if one can be obtained from the other by a sequence of rigid motions and dilations.
Key Questions
- Differentiate between congruent and similar figures.
- Justify why a sequence of rigid motions and dilations preserves similarity.
- Analyze real-world examples of similar figures and their applications.
Common Core State Standards
Suggested Methodologies
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5E Model
The 5E Model structures lessons through five phases (Engage, Explore, Explain, Elaborate, and Evaluate), guiding students from curiosity to deep understanding through inquiry-based learning.
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More in Geometry: Transformations and Pythagorean Theorem
Introduction to Transformations
Understanding the concept of transformations and their role in geometry.
2 methodologies
Translations
Investigating translations and their effects on two-dimensional figures using coordinates.
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Reflections
Investigating reflections across axes and other lines, and their effects on figures.
2 methodologies
Rotations
Investigating rotations about the origin (90, 180, 270 degrees) and their effects on figures.
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Sequences of Transformations
Performing and describing sequences of rigid transformations.
2 methodologies