Similarity and Proportional Relationships
Understanding similarity in terms of transformations and using similar figures to solve problems.
Key Questions
- Differentiate between congruence and similarity in geometric terms.
- Analyze how a scale factor affects the area and perimeter of a figure.
- Explain how to use similarity to measure heights or distances that are impossible to reach directly.
Ontario Curriculum Expectations
Suggested Methodologies
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Planning templates for Mathematics
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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Plan a multi-week math unit with conceptual coherence: from building number sense and procedural fluency to applying skills in context and developing mathematical reasoning across a connected sequence of lessons.
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More in Geometry in Motion
Translations on the Coordinate Plane
Investigating translations to understand how figures move without changing size or shape.
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Reflections on the Coordinate Plane
Investigating reflections across axes and other lines to understand congruence.
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Rotations on the Coordinate Plane
Investigating rotations about the origin and other points to understand congruence.
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Sequences of Transformations and Congruence
Describing a sequence of transformations that maps one figure onto another to prove congruence.
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Dilations and Scale Factor
Using scale factors and centers of dilation to create similar figures and understand proportional growth.
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