Download Unit Plan: 2

GEOMETRY UNIT 2
Reasoning and Proof
Date Range September 26th – October 18th
Review Day: Oct 13, 14 Test Day: Oct 17, 18
2.1 Conditional Statements
Prior Knowledge: Solving basic equations from algebra 1. Also students have heard if-then statements.
Learning Targets:
 Today I will learn to recognize conditional statements and to write the converse of conditional statements.
Success Criteria:
 I can identify the hypothesis and conclusion of a sentence.
 I can write sentences as conditional statements.
 I can use counterexamples to show that a conditional statement is false.
 I can use a Venn Diagram to illustrate a conditional statement.
 I can write inverse statements and test their truth value.
 I can connect conditional and converse statements to real world connections.
Performance of Understanding: guided practice, white boards, TOD
What questions do I still have?
Self-Assessment: Where I am in relation to this lesson’s target(s)?
Rating scale: (Check One)
______ 1 – Novice: I looked at my notes and/or got help and still got the problems incorrect.
______ 2 – Apprentice: My problems are mostly correct, but I am not very confident.
______ 3 – Proficient: My problems are correct, but I used a resource(s) to help me solve the problem.
______ 4 – Distinguished: My problems are correct and I did not use any resources.
Plan of action: In order for me to master the material, I am going to:
2.2 Biconditionals and Definitions
Prior Knowledge: Students have previously learned about conditional statements and will use that knowledge and apply it
to biconditional statements.
Learning Targets:
 Today I will learn how to write biconditional statements and to recognize good definitions.
Success Criteria:
 I can write a biconditional statement.
 I can separate biconditional statements into parts.
 I can write a definition as a biconditional.
 I can apply biconditional statements to a real world problem.
Performance of Understanding: partner work, example problems, TOD
What questions do I still have?
Self-Assessment: Where I am in relation to this lesson’s target(s)?
Rating scale: (Check One)
______ 1 – Novice: I looked at my notes and/or got help and still got the problems incorrect.
______ 2 – Apprentice: My problems are mostly correct, but I am not very confident.
______ 3 – Proficient: My problems are correct, but I used a resource(s) to help me solve the problem.
______ 4 – Distinguished: My problems are correct and I did not use any resources.
Plan of action: In order for me to master the material, I am going to:
2.3 Deductive Reasoning
Prior Knowledge: Students have previously learned about inductive reasoning in chapter 1 and will now learn about
deductive reasoning.
Learning Target:
 Today I will learn to use the Law of Detachment and to use the Law of Syllogism.
Success Criteria:
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I can apply deductive reasoning to real world examples.
I can use the law of detachment to make conclusions from given statements.
I can draw conclusions from if then statements using the law of syllogism.
I can apply the laws listed above and apply to statements in other content areas.
Performance of Understanding: partner activity, TOD, Quiz (?)
What questions do I have about this lesson?
Self-Assessment: Where I am in relation to this lesson’s target(s)?
______ 1 – Novice: I looked at my notes and/or got help and still got the problems incorrect.
______ 2 – Apprentice: My problems are mostly correct, but I am not very confident.
______ 3 – Proficient: My problems are correct, but I used a resource(s) to help me solve the problem.
______ 4 – Distinguished: My problems are correct and I did not use any resources.
Plan of action: In order for me to master the material, I am going to:
2.4 Reasoning in Algebra
Prior Knowledge: Students have used algebra in chapter 1 when we discussed segments and angles.
Learning Target:
 Today I will learn to connect reasoning in algebra and geometry.
Success Criteria:
 I can justify my steps and reasoning when solving equations.
 I can use properties of equality and congruence.
Performance of Understanding: sage and scribe
What questions do I still have about this lesson?
Self-Assessment: Where I am in relation to this lesson’s target(s)?
______ 1 – Novice: I looked at my notes and/or got help and still got the problems incorrect.
______ 2 – Apprentice: My problems are mostly correct, but I am not very confident.
______ 3 – Proficient: My problems are correct, but I used a resource(s) to help me solve the problem.
______ 4 – Distinguished: My problems are correct and I did not use any resources.
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Plan of action: In order for me to master the material, I am going to:
2.5 Proving Angles Congruent
Prior Knowledge: Students have previously learned to solve for variables from diagrams of angles.
Learning Targets:
 Today I will learn to identify angle pairs and to prove and apply theorems to angles.
Success Criteria:
 I can identify vertical, adjacent, complementary, and supplementary angles.
 I can look at diagram and make conclusions from the given information.
 I can use and prove the vertical angles theorem.
 I can use prove the congruent supplements and complement theorem
Performance of Understanding: guided practice, vertical theorem investigation, classwork
What questions do I have about this lesson?
Self-Assessment: Where I am in relation to this lesson’s target(s)?
______ 1 – Novice: I looked at my notes and/or got help and still got the problems incorrect.
______ 2 – Apprentice: My problems are mostly correct, but I am not very confident.
______ 3 – Proficient: My problems are correct, but I used a resource(s) to help me solve the problem.
______ 4 – Distinguished: My problems are correct and I did not use any resources.
Plan of action: In order for me to master the material, I am going to:
Key Vocabulary in this Unit:
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Adjacent angles
Bi conditional
Complementary angles
Conclusion
Conditional
Converse
Deductive reasoning
Hypothesis
Supplementary angles
Theorem
Truth value
Vertical angles