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|G.1 The student will construct and judge the validity of a logical argument consisting of a set of |
|premises and a conclusion. |
|a |Identifying the converse, inverse, and contrapositive of a conditional statement |
| |PPT logic |
| |Hand signs |
| |Write conditional statements. |
| |Identify the hypothesis and conclusion of each statement. |
| |Write the converse, inverse, and contrapositive of conditional statement. |
| |Use popcorn writing to write the converse, inverse, and contrapositive of conditional statements. |
| |Select the appropriate form of a conditional statement. |
| |Identify the validity of the converse, inverse, and contrapositive of a conditional statement. |
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|b |Translating a short verbal argument into symbolic form |
| | PPT logic |
| |Identify meanings of symbols of logic |
| |(, (, ～, ∧, ∨, ∩, ∪, ∴ |
| |Identify the symbolic form of given statements. |
| |Use activity like coin toss or answering test questions to set up a truth table. |
| |Complete truth tables w/ symbolic forms of statements. |
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|c |Using Venn diagrams to represent set relationships |
| |PPT |
| |Use Always, Sometimes, Never statements to create Venn Diagrams. |
| |Waller worksheet to create a Venn diagram. |
| |Use Venn Diagrams to show union of sets. |
| |Use Venn Diagrams to show intersection of sets. |
| |Practice Venn diagram worksheet (Cortez) |
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|d |Using deductive reasoning |
| |Writing / Evaluating Conditional Statements/ Use Venn Diagrams |
| |Use deductive reasoning to draw conclusions based on definitions, theorems, and postulates. |
| |Use inductive reasoning to draw conclusions based on limited number of observations. |
| |Use the Law of the Contrapositive |
| |Use Law of Detachment |
| |Use Law of Syllogism |
| |Write a short proof to practice deductive reasoning skills. |
| |Construct Counterexamples for invalid arguements |
| |Define Euclidean geometry (axiomatic system based on undefined terms like point, line, plane) |
| |Show logical arguments that are valid are not always true. |
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