Transcript Slide 1
Opening Activity Shapes In your spiral, create a word map of what you think of when you hear the word “shapes.” Perimeter of Polygons Area of Rectangles and Parallelograms Learning Goal 610 Students will be able to solve real-world and mathematical problems involving area. I can draw polygons on the coordinate plane when given the vertices. I can find the length of a side of a polygon graphed on the coordinate plane. I can determine the area of squares and rectangles. I can calculate the area of triangles I can calculate the area of special polygons by breaking the polygon into familiar shapes. I can take everything I’ve learned about area and apply it to real-world situations. What are we doing today? Today I am working with perimeter and area. So that I can determine the perimeter of any given polygon and determine the area of rectangles and parallelograms. I’ll know I’ve got it if I can determine the perimeter and area of the shape below. 8 2 3 Perimeter Perimeter is the distance around a two-dimensional shape. When you think of perimeter think of walking the fence around the perimeter of a yard. You walk the length of each side and add the lengths up to get the total distance walked. 5 18cm 6 4 3 18cm 11 26cm 2 3 3 3 18cm Find the perimeter. Can we work backwards? 7 22 cm What is the missing side length of the rectangle above? 4 cm BRAIN BREAK Area Area is the number of square units contained within a shape. While the perimeter is the fence around the yard, the area is the space contained in the yard. https://www.youtube.com/watch?v=qU8aWpRd6Qw The rectangle is made of 6 rows of 8 squares. To work out the number of squares we times 6 by 8. The area of the shape is 48cm2. 20cm2 18cm2 14cm 2 22cm 2 We can work out the area of a rectangle without the grid. length width Area = length x width CHECK YOUR PROGRESS 7cm 9cm 2 36cm 35cm2 5cm 20cm2 5cm 12.5cm 4cm 2cm 25cm2 4cm Area of parallelogram height base Area of parallelogram = base x height Which dimensions do we use? 4 cm 5 cm 6 cm What is the area of this parallelogram? A = bh A = (6)(5) A = 30 cm2 CHECK YOUR PROGRESS 3 ft 5 in 8 ft 4 in 9 ft 6 in A = bh A = (3)(8) A = 24 ft2 A = bh A = (6)(5) A = 30 in2 LET’S WORK BACKWARD 9 ft h 2 45 ft 2 9 ft A = bh 45 = 9h 9 9 h = 5 ft 8 ft 6 ft Homework Perimeter and Area Worksheet Due at the start of next class