1. 3.1 Transforming to a New Level!
Geometry
3.1 Transforming to a New Level!
Please Pickup Assignments

2. 3.1 Using Transformations to Determine Area
Objectives
Determine the areas of squares on a coordinate plane
Connect transformations of geometric figures with number sense and operations
Determine the area of rectangles using transformations

3. Explain the rationale behind your decision?
What “BIG” ideas are needed to show that ABCD is a rectangle?
What formulas are needed to prove your decision?

5. Create a scenario that will match the situation for how perimeter and area of a rectangle can be used
I have an example

6. Create a scenario that will match the situation for how perimeter and area of a rectangle can be used

7. Create a scenario that will match the situation for how perimeter and area of a rectangle can be used
Collaborate (5 Minutes)
Turn in when finished
Need only one scenario per group

8. Problem 1: Pomp and Circumstance
Collaborate 1-4 (7 Minutes)
Properties of Squares
Quadrilateral
All sides congruent
All angles congruent and right
Properties of Non-Square Rectangles
Opposite sides parallel and congruent
All angles are congruent and right

9. Problem 1: Pomp and Circumstance#3
Need to show 4 right angles
Use slopes of lines
Opposite reciprocal slopes determine perpendicular lines
Need to find the length of all sides
Use the distance formula to find a length

10. Problem 1: Pomp and Circumstance
#4: What do we need to know?
Need to know the area of the room
Need to know how to find the area of a rectangle/square
Can divide the area of the quadrilateral by the space taken up per person

11. Problem 1: Pomp and Circumstance
Collaborate 5-7 (10 Minutes)
Distance Formula
𝑑= 𝑥 2 − 𝑥 𝑦 2 − 𝑦 1 2
Slope Formula
𝑚= 𝑦 2 − 𝑦 1 𝑥 2 − 𝑥 1
Area of Rectangle
𝐴=𝑏ℎ
𝐴=𝑙𝑤

12. Problem 1: Pomp and Circumstance

13. Problem 1: Pomp and Circumstance

14. Problem 1: Pomp and Circumstance
#6 𝐴𝑟𝑒𝑎 𝑜𝑓 𝑆𝑝𝑎𝑐𝑒=13𝑥13=169 𝑓𝑡 2 𝐴𝑟𝑒𝑎 𝑝𝑒𝑟 𝑃𝑒𝑟𝑠𝑜𝑛= ≈4.69 She can only invite 3 more people to the party

15. Problem 2: Maximum Efficiency
Together 1-5

16. Problem 2: Maximum Efficiency

17. Distance Formula
𝑑= 𝑥 2 − 𝑥 𝑦 2 − 𝑦 1 2
Slope Formula Area
𝑚= 𝑦 2 − 𝑦 1 𝑥 2 − 𝑥 1 A=bh

18. The quadrilateral is a square
All 4 sides are congruent
Opposite sides are parallel
Consecutive sides are perpendicular
All 4 angles are right angles

19. Summation What are the properties of a square?
What are the properties of a rectangle?
What formulas do we need to prove a figure is a square or a rectangle?

20. Formative Assessment Skills Practice 3.1 Pg. 383-386 (1-8) DUE TODAY
Distance Formula
𝑑= 𝑥 2 − 𝑥 𝑦 2 − 𝑦 1 2
Slope Formula
𝑚= 𝑦 2 − 𝑦 1 𝑥 2 − 𝑥 1