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Honors Geometry Unit 2 Scale: Difference between revisions

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{| class="wikitable mw-collapsible"
{| class="wikitable mw-collapsible"
|+
|+
!<big>Unit ##NUMBER##</big>  
!<big>Unit 2</big>  
!<big>##NAME##</big>
!<big>Definitions, Axioms, and Theorems</big>
 
|-
|Focus:
|Understanding the structure and logic of geometric reasoning using definitions, axioms, and theorems.
|-
|-
|'''Level 4'''
|Priority
|'''Main objective'''
| [[Geometry_Standards#MA19.GDA.32|32]]
* Actionable Item
|-
|-
|'''Level 3.5'''
|Supporting
|
|
|-
|Level
|Proficiency Description
|-
|'''Level 4'''
|'''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.
|-
|-
|'''Level 3'''
|'''Level 3'''
|'''Main objective'''
|'''I can...'''
* Actionable Item
* Construct valid geometric proofs using formal logic and known theorems.
|-
* Apply definitions and axioms correctly in multi-step proofs.
|'''Level 2.5'''
* Distinguish between definitions, postulates, and theorems in formal arguments.
|
|-
|-
|'''Level 2'''
|'''Level 2'''
|'''Main objective'''
|'''I can...'''
* Actionable Item
* 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
|'''Level 1.5'''
|
|-
|-
|'''Level 1'''
|'''Level 1'''
|'''Main objective'''
|'''I can...'''
* Actionable Item
* Identify and distinguishes between definitions, axioms, and theorems with support.
|-
* Apply them correctly in reasoning tasks with assistance.
|'''Level 0.5'''
* Complete simple logic chains or matching exercises with assistance.
|
|-
|'''Level 0'''
|'''Main objective'''
* Actionable Item
|}
|}

Latest revision as of 09:25, 25 August 2025

Unit 2 Definitions, Axioms, and Theorems
Focus: Understanding the structure and logic of geometric reasoning using definitions, axioms, and theorems.
Priority 32
Supporting
Level Proficiency Description
Level 4 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.
Level 3 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.
Level 2 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

Level 1 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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