Critical Thinking: Analyze and apply the concept of geometric similarity to understand proportional relationships and solve complex problems.
Communication: Articulate the principles of geometric similarity and its applications in real-world contexts.
Global Citizenship: Recognize the significance of geometric similarity in global contexts, such as navigation, urban planning, and architecture.
What defines geometric similarity, and how can we determine if two shapes are similar?
How do proportional relationships within similar figures help us solve problems in geometry?
In what ways are concepts of geometric similarity applied in creating scale models and map representations?
Students are able to convert quantitative problems that use words into mathematical expressions.
CCSS.MATH.CONTENT.HSG.SRT.A.2: Given two figures, use the definition of similarity in terms of similarity transformations to decide if they are similar; explain using similarity transformations the meaning of similarity for triangles as the equality of all corresponding pairs of angles and the proportionality of all corresponding pairs of sides.
CCSS.MATH.CONTENT.HSG.SRT.B.5: Use congruence and similarity criteria for triangles to solve problems and to prove relationships in geometric figures.
CCSS.MATH.CONTENT.HSG.MG.A.1: Use geometric shapes, their measures, and their properties to describe objects (e.g., modeling a tree trunk or a human torso as a cylinder).
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