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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: 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. . 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: Adjacent angles Bi conditional Complementary angles Conclusion Conditional Converse Deductive reasoning Hypothesis Supplementary angles Theorem Truth value Vertical angles