This document discusses finding the areas of parallelograms and using coordinate planes to identify parallelograms. It provides examples of calculating perimeters and areas of parallelograms. It also gives applications involving finding the area of yard spaces and floors. Students are asked to plot points on a coordinate plane to identify parallelograms and calculate their areas. The lesson plan is to introduce finding areas of parallelograms over two class periods with notes, examples, and a follow-up quiz.

1. Areas of Polygons and Circles
Chapter 11

2. Areas of Parallelograms
Section 11.1

3. Areas of Parallelograms
• How do I find the perimeters and areas of
parallelograms?
• How do I tell if a points on a coordinate plane
define a parallelogram?

4. Parallelogram Review
• Parallelogram –
Quadrilateral with opposite
sides parallel.
• Opposite sides and angles
are congruent.

5. Perimeter
• Perimeter: sum of all the sides

6. Area of a Parallelogram
•

7. Example
• Find the perimeter and area of parallelogram
RSTU.

8. Example
• Find the perimeter and area of parallelogram
DEFG.

9. Application
• The Kanes are
planning to sod 200 ft
some parts of their
yard. Find the
number of square
yards of grass
needed.
150 ft

10. Application
• The Wagners
are planning to
put hardwood
floors in their
dining room,
living room,
and kitchen.
Find the
number of
square yards of
wood needed.

11. Coordinate Plane
• Plot: A(-2, 3), B(4, 1),
C(3, -2), and D(-3, 0)
on the Coordinate
Plane.
• Is the quadrilateral a
square, rectangle, or
parallelogram?
• b) Find the area of
the figure.

12. Coordinate Plane
• Plot: A(-1, 1), B(1, 4),
C(5, 4), and D(3, 1) on
the Coordinate Plane.
• Is the quadrilateral a
square, rectangle, or
parallelogram?
• b) Find the area of
the figure.

13. Homework
• Page 598
▫ #12 – 26 Even

14. Lesson Plan
• Intro
▫ Areas of parallelogram
• Standards- 10.1
• Supplies – slides, whiteboard, note sheets
• Timing: One day for notes, one day for a combined
review of 10.1 and 10.2 followed by a quiz
• Day 1:
▫ Essential Questions- slides 3
▫ Input-slides 4, - 6
▫ Guided Practice - slides 7 - 12
▫ Independent Practice – bookwork