- Prove theorems about proportions.
- Recognize true proportions.
- Use proportions theorem in problem solving.
II.ProblemSolvingActivity-ProportionalTeamwork
- For this activity, students are going to draw two proportional triangles.
- Be sure to include measurements for each side of each triangle.
- Then, when instructed, students are going to pass the triangles to the person to their right. The person on the
end of the room passes across the room to the “first”person. - Then each person must write one proportion that represents the two triangles.
- Then they pass them again.
- Once again this repeats and the next student writes one proportion about the two triangles.
- Now there are two proportions on the paper under the triangles.
- Next it is passes again, and the last student writes the one remaining proportion.
- Finally, it is given back to the starting person (who drew the triangles).
- That student needs to correct the work of the other three.
- This student needs to write at least one theorem that is represented by these proportions and explain why
he/she selected that theorem.
III.MeetingObjectives
- Students will prove theorems about proportions.
- Students will recognize true proportions.
- Students will use proportions theorem in problem solving.
IV.NotesonAssessment
- Collect all student work at the end of the class.
- First, check the triangles. Are they proportional?
- Next, check all of the proportions that were written about the triangles.
- Finally, check the notes/corrections and the theorem used.
- Is it explained well?
- Is it correct?
- Provide students with feedback and comments.
Similar Polygons
I.SectionObjectives
- Recognize similar polygons.
- Identify corresponding angles and sides of similar polygons from a statement of similarity.
- Calculate and apply scale factors.
II.ProblemSolvingActivity-Let’sGoFlyaKite-PartTwo
- For this activity, students are going to revisit the work they did on kites.
- Particularly, students are going to use their work on creating kite designs from pg. 398-399.
- Ask students to identify what makes these kites similar. Brainstorm a list and write them on the board.
5.7. Similarity