Two- Column Proof
I.SectionObjectives
- Draw a diagram to help set up a two- column proof.
- Identify the given information and statement to be proved in a two- column proof.
- Write a two- column proof.
II.Cross-curricular-Cooking
- In this activity, the students are going to need to prove the following statement.
- “You must have eggs to make a chocolate cake.”
- Assign half of the class the job of proving that this is a true statement.
- Assign the other half of the class the job of disproving the statement.
- This can branch off into technology as well.
- If students have access to computers, they can search recipes and cake information on line.
- Some students will break right off and talk about dairy- free or vegan cakes.
- This is great because students can talk about that, but they will need to prove it.
- Tell students that they need at least four different statements.
- Tell students that they will need to use resources to back up their statements.
- Allow students time to work.
- When finished, allow them time to share their arguments.
- The class can assess whether they successfully proved it or not.
- You may want to do this first in small groups.
- Have each group select the best proof.
- Then have a whole class debate using the best proofs.
- Ask the students to share what worked or was challenging about this assignment.
- Students may figure out that they can be very specific in their proof.
III.TechnologyIntegration
- Incorporate technology into the above activity by allowing students computer access to do their recipe/cooking
searches.
IV.NotesonAssessment
- Assess student work through the debates and discussions.
- Collect students work and read through their proofs.
- This is a GREAT class for demonstrating how challenging it can be to prove or disprove something.
- For fun, you could serve chocolate cake when finished.
Segment and Angle Congruence Theorems
I.SectionObjectives
- Understand basic congruence properties.
- Prove theorems about congruence.
3.2. Reasoning and Proof