1. 3.3 Grasshoppers Everywhere!
Geometry

2. 3.1 Area and Perimeter of Parallelograms on the Coordinate Plane
Objectives
Determine the perimeter of parallelograms on a coordinate plane
Determine the area of parallelograms on a coordinate plane
Explore the effects that doubling the area has on the properties of a parallelogram

4. Problem 1: Rectangle or … ?
𝐴𝑟𝑒𝑎 𝑝𝑎𝑟𝑎𝑙𝑙𝑒𝑙𝑜𝑔𝑟𝑎𝑚 =𝑏ℎ Base and Height must be Perpendicular Together #1

5. Problem 1: Rectangle or … ?
What do we need to find the perimeter of a parallelogram?
𝑑= 𝑥 2 − 𝑥 − 𝑦 2 − 𝑦 1 2
Collaborate #2 (a-e) (8 Minutes)

6. Talk the Talk Pg. 269
In order to double the area of a parallelogram by manipulating the height, what must we do to the height?
𝐴=𝑏ℎ
2𝐴=𝑏(ℎ)2
2𝐴=𝑏(2ℎ)
If we want to double the area, we can double the height

7. Talk the Talk Pg. 269
In order to double the area of a parallelogram by manipulating the base, what must we do to the base?
𝐴=𝑏ℎ
2𝐴=2 𝑏 ℎ
2𝐴= 2𝑏 ℎ
If we want to double the area, we can double the base

8. Talk the Talk (Pg. 269) Base of Original Parallelogram 𝒃=𝟖 𝒖𝒏𝒊𝒕𝒔
Height of Original Parallelogram
ℎ=3 𝑢𝑛𝑖𝑡𝑠
Doubled Height
𝟐𝒉=𝟔 𝒖𝒏𝒊𝒕𝒔

9. Talk the Talk (Pg. 269) Base of Original Parallelogram 𝒃=𝟖 𝒖𝒏𝒊𝒕𝒔
Height of Original Parallelogram
ℎ=3 𝑢𝑛𝑖𝑡𝑠
Doubled Height
𝟐𝒉=𝟔 𝒖𝒏𝒊𝒕𝒔
Area of Original Parallelogram
A = bh
A = 8 x 3 = 24 square units
Area of New Parallelogram
A = 8 x 6 = 48 square units
B’ (-3, 14)
C’ (5, 14)

10. Talk the Talk (Pg. 269) Base of Original Parallelogram 𝒃=𝟖 𝒖𝒏𝒊𝒕𝒔
Height of Original Parallelogram
ℎ=3 𝑢𝑛𝑖𝑡𝑠
Doubled Height
𝟐𝒉=𝟔 𝒖𝒏𝒊𝒕𝒔
Area of Original Parallelogram
A = bh
A = 8 x 3 = 24 square units
Area of New Parallelogram
A = 8 x 6 = 48 square units
A’ (-7, 5)
D’ (1, 5)

11. Welcome to Geometry! Find an open seat
Finish yesterday’s skills practice, 3.2, and turn it in
Pg (3, 5, 8-10, 14-18)
Today you’ll be completing the Skills Practice for It is basically the same thing you’ve been doing, just with parallelograms! The formula for the area of a parallelogram is:
Complete pages Pg
(3, 5, 8-10, 14-18)

12. Welcome! Find an open seat Grab a calculator
Turn in Skills Practice 3.2 if you’ve yet to do so! Besides Carnegie, it’ll be the last grade in Marking Period 1
Warm Up:
Determine the area of the parallelogram:

13. Welcome! Go to Skills Practice 3.3. We will work on this today.
If you get finished early, please work on Cognitive Tutor

14. Formative Assessment Skills Practice 3.3
Pg (3, 5, 8-10, 14-18)
𝑑𝑖𝑠𝑡𝑎𝑛𝑐𝑒= 𝑥 2 − 𝑥 𝑦 2 − 𝑦 1 2