3.8 Right Triangle Trigonometry
The Pythagorean Theorem
I.SectionObjectives
- Identify and employ the Pythagorean Theorem when working with right triangles.
- Identify common Pythagorean triples.
- Use the Pythagorean Theorem to find the area of isosceles triangles.
- Use the Pythagorean Theorem to derive the distance formula on a coordinate grid.
II.Cross-curricular-ToyConstruction
- Ifpossible,completethisafterwatchingthemovie.
- Dividethestudentsintogroupsofthreeorfour.
- YouwillneedKynexforthisactivity.
- Studentsmaybeabletobringinsomefromhome.
- IfKynexarenotavailable,justhavethisbeadesignproject.
- Tellthestudentsthattheyaregoingtobedesigningatoythathasarighttriangleasitscorecomponent.
- Studentscanuseothershapesaswell,butthetriangleiscentral.
- Studentsaretodrawadesignoftheirtoy.
- Then,studentsaretobuildamodelusingtheKynex.
- Allowtimeforstudentstosharetheirworkwhenfinished.
III. Technology Integration
- Use the following website so that students can watch a short movie on creating triangular toys.
- http://www.thefutureschannel.com/dockets/realworld/inventing_toys/
- This video shows how two designers working for Kynex design toys.
- Tell the students to notice all of the uses of polygons and triangles in the designs.
- When finished, discuss the video.
- What did the students observe?
- What did they notice about the shapes used in the toy designs?
- How did patterns impact the work of the designers?
- How does geometry impact their work?
IV.NotesonAssessment
- Assess each toy design and construction.
- You may want to create a rubric for grading the toys.
- Observe students as they work.
- Provide students with feedback when necessary.
Chapter 3. Geometry TE - Enrichment