3.2 Reasoning and Proof
Inductive Reasoning
I.SectionObjectives
- Recognize visual patterns and number patterns
- Extend and generalize patterns
- Write a counterexample to a pattern rule
II.Cross-curricular-Music
- Prepare several different examples of repetitive music.
- For example, rap, classical, folk song, childrens song.
- You want a few with a refrain or a clear consistent pattern.
- You will need to prepare this ahead of time.
- You want the students to develop a rule for each selection.
- Brainstorm a list of possible pattern rules and decide on one.
- Then write this one on the board.
- Ask the students to come up with a counterexample to the pattern rule.
- You can do this first one as a whole class so that the students understand the idea.
- Then break students off into groups.
- Have them listen to each of the other selections and write a rule and a counter example for each.
- When finished, allow time for students to share their work.
III.TechnologyIntegration
- Have the students complete a google search on patterns in nature.
- Students are going to select one or more examples of patterns in nature.
- Ask them to write a rule for each pattern.
- Then write a counter example for each pattern.
- Finally allow time for students to share their work.
IV.NotesonAssessment
- Assessment is done through class sharing.
- Do the students understand how to write a pattern rule?
- Are the rules accurate?
- Do the students understand how to write a counterexample?
- Provide feedback as needed.
Conditional Statements
I.SectionObjectives
3.2. Reasoning and Proof