| Unit 2
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Definitions, Axioms, and Theorems
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| Focus:
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Understanding the structure and logic of geometric reasoning using definitions, axioms, and theorems.
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| Priority
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32
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| Supporting
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| Level
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Proficiency Description
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| Level 4
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I can...make inferences and applications beyond what was taught in class, such as:
- Independently formulate valid conjectures based on definitions, axioms, or theorems.
- Develop and prove original theorems using formal geometric reasoning.
- Evaluate the validity of other students' proofs or logical arguments.
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| Level 3
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I can...
- Construct valid geometric proofs using formal logic and known theorems.
- Apply definitions and axioms correctly in multi-step proofs.
- Distinguish between definitions, postulates, and theorems in formal arguments.
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| Level 2
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I can...
- Use given definitions, axioms, or theorems to complete partial or scaffolded proofs.
- Make logical conjectures based on known information.
- Identify necessary steps in a proof with guidance.
Vocabulary: proof, property, postulate, axiom, theorem
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| Level 1
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I can...
- Identify and distinguishes between definitions, axioms, and theorems with support.
- Apply them correctly in reasoning tasks with assistance.
- Complete simple logic chains or matching exercises with assistance.
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