- Understand the relationships between the areas of two categories of quadrilaterals: basic quadrilaterals and
special quadrilaterals. - Derive area formulas for trapezoids, rhombi and kites.
- Apply the area formula for these special quadrilaterals.
II.ProblemSolvingActivity-Jeffrey’sKite
- Students will use what they have learned in the lesson to find the area of Jeffrey’s kite.
- Here is the problem.
- “Jeffrey has designed a kite to be flown in the city parade. He has made a large version of a small kite. His
kite fits perfectly in a rectangular box that is 2[U+0080][U+0099]× 3 [U+0080][U+0099]. In inches, what is
the area of Jeffrey’s kite?” - Students need to use what they have learned to solve this problem. They can draw an interpretation of the kite
design if they wish to. - Students will need to convert feet to inches to begin with.
- Solution:
- 2 feet=24 inches
- 3 feet=36 inches
- The rectangle is 24× 36
- Use the formula for finding the area of a kite.
-^12 d 1 d 2 =^12 ( 24 )( 36 )
-^12 ( 864 ) - Area=432 inches=36 feet
- Conclusion: Jeffrey has created a HUGE kite.
III.MeetingObjectives
- Students will use the formula for area to find the area of a kite.
- Students will learn to compare rectangles and the area of a kite.
- Students will demonstrate understanding through problem solving.
IV.NotesonAssessment
- Be sure that the students have solved the problem accurately.
- Did the students convert the measurement units?
- Is the problem labeled correctly?
- Did the students draw a diagram to explain their answer?
- Offer correction/feedback when necessary.
Area of Similar Polygons
I.SectionObjectives
- Understand the relationship between the scale factor of similar polygons and their areas.
- Apply scale factors to solve problems about areas of similar polygons.
- Use scale models or scale drawings.
II.ProblemSolvingActivity-Mt.Rushmore
- You can use the following website for reference.
Chapter 5. Geometry TE - Problem Solving