• To understand how angles can be related to one another and their applications in proof as well as in real life.

• How do the angles formed by intersecting objects affect their surroundings? (i.e. intersecting streets and traffic flow)
• What are some examples from your life that in which you have to use a chain of reasoning?

• To identify the different types of angle relationships
• To be able to create a chain of reasoning based on geometric properties to arrive at a desired conclusion
• Use algebraic properties in conjunction with geometric arguments

• Quiz/Test
• White board/chalkboard problems in class
• Verbal response
• Daily homework
  

Activities:

• Identify incorrect reasoning/logic in a given argument or proof.
• Writing proofs in small group and whole group settings in a variety of ways (from scratch, multiple choice, “proof-in-a-bag”, fill in the blanks)
• “Row Races” (construct a proof by having students build on the work of the students in the row)

State Goals:

• 9.C.3a Construct, develop and communicate logical arguments (informal proofs) about
  geometric figures and patterns.
• 9.C.4b Construct and communicate convincing arguments for geometric situations.
• 9.C.4c Develop and communicate mathematical proofs (e.g., two-column, paragraph,
  indirect) and counter examples for geometric statements.