LearningTargets02

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Geometry Objectives & Learning Targets 2.0

2.0 Students write geometric proofs, including proofs by contradiction.

Learning Targets:

  1. I can write geometric proofs in various formats including two-column, paragraph, and flowchart.
  2. I can identify patterns and write conjectures based on my observations.
  3. I can write conditional statements, their converse, inverse, and contrapositive.
  4. I can verify that a statement is a definition by using biconditional statements.
  5. I know that a theorem is a conjecture that has been proven.
  6. I know the definition of Inductive Reasoning and can show examples of Inductive Reasoning.
  7. I know the definition of Deductive Reasoning and can show examples of Deductive Reasoning.

Vocabulary:

  1. Proof
  2. Postulate
  3. Axiom
  4. Formal Proofs
  5. Justifications
  6. Conditional Statement
  7. Hypothesis
  8. Conclusion
  9. Logical Argument
  10. Syllogism
  11. Deductive Reasoning
  12. Deduction
  13. Converse
  14. Inverse
  15. Contrapositive
  16. Counterexample
  17. Logical Chain
  18. Definition
  19. Euler Diagrams
  20. Biconditional Statement
  21. Definition
  22. Theorem
  23. Corollary
  24. Two-Column Proofs (T-Proofs)
  25. Paragraph Proofs
  26. Flowchart Proofs (Bubble Proofs)
  27. Conjectures

Definitions:

  1. Definition of

Properties:

  1. If-Then Transitive Property
  2. Algebraic Properties of Equality
  3. Addition Property
  4. Subtraction Property
  5. Multiplication Project
  6. Division Property
  7. Substitution Property
  8. Equivalence Properties of Equality
  9. Reflexive Property
  10. Symmetric Property
  11. Transitive Property
  12. Equivalence Properties of Congruence
  13. Reflexive Property of Congruence
  14. Symmetric Property of Congruence
  15. Transitive Property of Congruence

Postulates:

  1. Postulate