3.10 Perimeter and Area
Triangles and Parallelograms
I.SectionObjectives
- Understand the basic concepts of the meaning of area.
- Use formulas to find the area of specific types of polygons.
II.Cross-curricular-ReflectingPooldimensions
- Use the following image from Wikipedia of the Reflecting Pool in Washington, DC.
- This is Figure 10.01.01
- http://www.en.wikipedia.org/wiki/File:Reflecting_pool.jpg
- Here is the problem.
- According to Wikipedia, the dimensions of the Reflecting Pool are 2029 ft long and 167 feet wide.
- Given this information, what shape is the Reflecting Pool?
- What is the perimeter of the pool?
- What is the area of the pool?
- Draw a diagram to explain your answer.
- Solution:
- The shape is a rectangle.
- The perimeter is 2029+ 2029 + 167 + 167 =4392 ft.
- The area is 2029× 167 = 338 ,843 sq.ft.
III.TechnologyIntegration
- There are two great short videos on this website for area and length.
- One is an architect and one is on an apartment design.
- http://www.thefutureschannel.com/hands-on_math/apartment.php
- Have students watch the videos.
- Then you can expand on this by having the students draw a design of their room at home.
- Students will need to go home and do some measurements and then come back with the area and perimeter of
their room. - Rooms with unconventional shapes will be the most fun and challenge.
- Allow time for students to share their work.
IV.NotesonAssessment
- Assess student work on the Reflecting Pool problem.
- Is the diagram accurate?
- Did the students calculate the area correctly?
- Did the students calculate the perimeter correctly?
- Provide students with feedback on their work.
Chapter 3. Geometry TE - Enrichment