1. Warm-Up What are the 8 Standards of Mathematical Practices? Make sense of problems and persevere in solving them Reason abstractly and quantitatively Construct viable arguments and critique the reasoning of others Model with mathematics Use appropriate tools strategically Attend to precision Look for and make use of structure Look for and express regularity in repeated reasoning

2. Today’s Objective: G.GPE.B.7 Use coordinates to compute perimeters of polygons and areas of triangles and rectangles, e.g., using the distance formula.

3. Rectangle Area Conjecture: The area of a rectangle is given by the formula ____________, where A is the area, b is the length of the base, and h is the height of the rectangle. A = bh

4. Find the area of this shape

5. 32 The area of the figure is 52 square units

6. Investigation: Area Formula for Parallelogram A parallelogram A straight edge A compass Scissors From the vertex of the obtuse angle adjacent to the base, draw an altitude to the side opposite the base. Label the parallelogram as shown.

7. Investigation: Area Formula for Parallelogram Cut along the altitude. You will have two pieces – a triangle and a trapezoid. Try arranging the two pieces into other shapes without overlapping them. Is the area of each of these new shapes the same as the area of the original parallelogram? Why? Is one of your new shapes a rectangle? Calculate the area of this rectangle. What is the area of the original parallelogram? State the conjecture.

8. Parallelogram Area Conjecture The area of a parallelogram is given by the formula ____________________, where A is the area, b is the length of the base, and h is the height of the parallelogram. A = bh

9. Let’s practice!!! A represents area and P represents perimeter. A = 2508 cm 2 P = ? 210 cm

10. Let’s practice!!! Find the area of the shaded region. A = 42 ft 2