- Write the converse, inverse and contrapositive of an if- then statement.
- Understand a biconditional statement.
II.ProblemSolvingActivity-Advertisements
- Students are going to use newspapers and magazines for this problem solving activity.
- Begin the activity by talking about how advertisers use conditional statements to lure people into purchasing
their products. For example, a phone company will often offer a free phone for a cell phone plan. - Note: If you can find one such add it would be great to bring it in for a demonstration.
- Tell students that their assignment is to use newspapers and magazines to find one such conditional advertise-
ment. - Then they are to take that advertisement and create a display using it to show the converse, inverse, contrapos-
itive and biconditional statement of the advertisement. - Students can decorate and design their display.
- Allow time for students to share their work when finished.
III.MeetingObjectives
- Students will recognize if- then statements in advertisements.
- Students will write converse, inverse and contrapositive statements.
- Students will understand biconditional statements by writing them.
- Students will present their work to their peers.
IV.NotesonAssessment
- Be sure that the students have selected a conditional statement in an advertisement.
- Check their work for accuracy when writing each of the different statements.
- Allow time for students to share their work.
- Include creativity in student evaluations.
- Students could receive a classwork or homework grade for this assignment.
Deductive Reasoning
I.SectionObjectives
- Recognize and apply some basic rules of logic
- Understand the different parts that inductive reasoning and deductive reasoning play in logical reasoning
- Use truth tables to analyze patterns of reasoning
II.ProblemSolvingActivity-WriteItOut
- Students are going to write statements based on Figure02.03.01 of vertical angles.
- Draw the figure on the board/overhead.
- Underneath it write the words “Vertical angles are congruent.”
- Put the students in groups.
- There are four “starters” on index cards. A starter card gives the students a beginning geometric statement.
They then need to take this statement and complete it using the Law of Detachment or the Law of Syllogism. - For example, if the starter is^61 ∼=^6 2, then the students would need to write two other statements using the
figure as a guide.
Chapter 5. Geometry TE - Problem Solving