Critical Thinking: Engage in both inductive and deductive reasoning to analyze geometric relationships and develop logical arguments.
Communication: Effectively communicate the process of forming conjectures and proving theorems in geometry.
Adaptive Perseverance: Persist in solving complex geometric problems through the application of reasoning skills, adapting approaches as necessary based on feedback.
How does inductive reasoning allow us to form conjectures about geometric figures and relationships?
In what ways does deductive reasoning enable us to prove the conjectures we make about geometric relationships?
How can understanding the differences between inductive and deductive reasoning improve our problem-solving skills in geometry?
Students are able to convert quantitative problems that use words into mathematical expressions.
CCSS.MATH.CONTENT.HSG.CO.D.12: Prove theorems about triangles; use theorems about triangles to solve problems.
CCSS.MATH.CONTENT.HSG.CO.C.9: Prove theorems about lines and angles; use theorems about lines and angles to solve problems.
CCSS.MATH.CONTENT.HSG.GPE.B.7: Use coordinates to compute perimeters of polygons and areas of triangles and rectangles, e.g., using the distance formula.
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