- Recognize if- then statements
- Identify the hypothesis and conclusion of an if-then statement
- Write the converse, inverse and contrapositive of an if-then statement
- Understand a biconditional statement
II.Cross-curricular-Literature
- Provide students with a copy of the poem “The Road Not Taken” by Robert Frost.
- Read the poem with the class.
- Discuss the meaning of the poem and the thoughts behind it.
- Then tell the students that they are going to change the poem to be written in all conditional statements.
- They can reword it if they wish.
- Allow time for the students to work on this in small groups.
- When they have finished, ask them if the meaning of the poem has changed with their conditional statements.
- Ask them how conditional statements can impact different statements.
- Allow time for the students to read their poems.
III.TechnologyIntegration
- Have the students use the following website to investigate conditional statements further.
- www2.edc.org/makingmath/mathtools/conditional/conditional.asp
- Ask the students to use the diagrams to write three different conditional statements.
- Allow time for the students to share their work in small groups.
IV.NotesonAssessment
- You will hear how well the students understand conditional statements by listening to their poems.
- Provide feedback/correction as needed.
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.Cross-curricular-MountEverest
- Begin this activity with a discussion about deductive and inductive reasoning.
- Review these concepts so that the students are not confused when working on this activity.
- Have students research through books or technology facts about people who have climbed Mt. Everest.
- Ask the students to make a list of at least ten facts about people who have climbed Everest.
- Then write this on the board, “If you have climbed Mt. Everest, then you... .”
- Tell the students that they are to write at least five different statements using deductive reasoning to complete
this statement. - When finished, have students share their work in small groups.
- Ask each group to assess whether or not the students have successfully written statements using deductive
reasoning.
Chapter 3. Geometry TE - Enrichment