1. Geometry 3.1 Transforming to a New Level!

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. Collaborate (5 Minutes) Turn in on round table 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 Quadrilateral 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

15. Formative Assessment We will be on computers tomorrow and Friday

16. 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

17. Problem 2: Maximum Efficiency Together 1-5

18. Problem 2: Maximum Efficiency

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

21. 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?

22. Formative Assessment