- In each group, the students need to come up with a way to prove the relationship between the two triangles in
the image of gable windows. - They are going to be using the SAS and the SSS Triangle Inequality Theorem to do this.
- When finished, have the students present their work to the class.
III.TechnologyIntegration
- Expand this websearch into many different types of triangular windows.
- Some windows will show congruent triangles, but others won’t.
- Have the students select a window pair that is congruent and then prove congruency.
- Have the students select a window pair that demonstrates an inequality and then prove this using the theorems.
- Have the students repeat the exercise that they did in small groups with a new window design.
IV.NotesonAssessment
- Assessment is completed through observation.
- Walk around as students work.
- Ask questions and probe into student thinking.
Indirect Proofs
I.SectionObjectives
- Reason indirectly to develop proofs of statement.
II.Cross-curricular-Sports
- You have the job of being a sports announcer at a basketball game.
- To do this, you will be reporting on the actions of the game.
- However, you can only report your findings using if-then statements.
- You are going to prepare a short broadcast and then present it with a peer to the class.
- This is meant to be a fun short assignment to help students to see how to use if then statements in real life.
- Students will have fun with this.
- Give them time to work and props are fine to use as well.
- When finished, allow time for each pair to present their skit.
III.TechnologyIntegration
- What is proof?
- Who uses proof?
- What kinds of careers or projects require people to prove something?
- Complete a web investigation on the topic of proof.
- Make a list of the websites that you visit.
- Keep a record of the data you discover.
- Write a one page paper to share/explain your findings.
IV.NotesonAssessment
- Assessment is complete through observation.
Chapter 3. Geometry TE - Enrichment