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Area & Perimeter. Bridges Activities 1 & 2. What is area?. Tell someone at your table what you think it means and be prepared to share your thinking. Area is a measure of how much surface something takes up
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Area & Perimeter Bridges Activities 1 & 2
What is area? • Tell someone at your table what you think it means and be prepared to share your thinking. • Area is a measure of how much surface something takes up • Area is measured in square units such as square inches, square feet, or square tiles.
Area using tiles • Each person at your table find a tile in the basket. What do you think the area of that tile is? • What could we do to find out for sure? You can measure using any of the tools on the table. • Now – you are going to work as a table to build a square with an area of exactly 144 square inches. Raise your hand when your group thinks you have it.
144 Square inches • Discuss with your group how you found it and see if your group has the same squares as other groups. • What do you think? • Let’s see what the dimensions are for your square. Use a ruler to measure and write the dimensions with a dry erase marker. • What are the dimensions?
144 sq. in. 12 in. 12 in. 144 sq. in. Remember – when you write the measurements on the outside of a shape they are called the dimensions.
Work with your group to find the area of the blue piece of paper. Discuss ways that you could prove this and how you can solve it in different ways. • Let’s share ~
Formula • You guys have just shown us how to find the area using a formula. • What would the formula for finding a rectangle be? A = l x w • Would it be different for finding the area of a square? • Let’s try a few problems for practice.
Caroline wants to cover one wall of her bedroom with paper. How could she find the amount of wallpaper she needs to cover her wall? • 2 X (12 +7) • 12 + 7 • 12 X 7
Mrs. Escamilla is covering her new bulletin board. The board is shown below. How much paper will she need to cover it? • 53 in. • 530 sq. in. • 630 sq. in. • 630 in. 18 inches 35 inches
Perimeter & Area • Work with your table – compare and contrast perimeter and area. • What do they mean? • What is the same about them? • What is different?
Perimeter Activity • Find the perimeter of the blue piece of paper at your table. • How did you find it?
Perimeter • What do you think the perimeter of this red paper would be? Estimate and tell a partner. • Share & Discuss • Formula: • Can we come up with a formula for perimeter too? • P = 2w + 2L (2 X width + 2 X length) • For a square: P = 4s ( 4 X side) • Let’s add perimeter and area to our vocabulary lists.
AREA The number of square units needed to cover a surface. Area = length x width 8 cm. 8 x 3 = 24 square cm. 3 cm.
Perimeter • The distance around a figure. • Formula = square = 4s • Rectangle = 2l + 2w • All other shapes – add ALL sides
Mr. Thomas is planting a rectangular garden and wants to put a fence around it. It is 12 ft. long and 7 ft. wide. How much fencing will he need? • 84 ft. • 38 ft. • 19 ft.
Activity Sheet • Work with a partner to complete the activity sheet for area and perimeter.