Standards CCSS 6 G 1 Find the area

Review and focus: Find the area and perimeter of the following figures. Name the

Review and focus: Find the area and perimeter of the following figures. x x

Given a right triangle What polygon is this? A Rectangle Make a similar triangle,

We can use the formula for area of a rectangle to find the

This holds true for any triangle. height h base copyright©amberpasillas 2010

A triangle is half the area of a rectangle. To find the area of

Find the perimeter and area of this triangle. 5 cm 3 cm Area 8

• Backpack. You are making a reflective patch for your backpack. The patch

• Draw a parallelogram with a base of 5 cm and a height

Given the formula for area of a triangle and the formula for area of

This trapezoid is regular trapezoid Also known as an isosceles trapezoid This trapezoid is

b 1 h h What polygon is it now? Parallelogram b 2 (b 1

put together with a similar Given our original trapezoid flipped trapezoid, we found

Notice that the trapezoid is half the area of the parallelogram. How do we

4 in 2 in 3 in Area of Trapezoid A = (b 1

5 in 4 in 6 in 7 in Here is another way to look

The End! Have a great weekend!! copyright©amberpasillas 2010

#1 Area of a Trapezoid 4 ft A = (base 1 + base 2)

#2 Area of Polygons The Area of a figure is the number of square

Practice • Complete the practice worksheet. Work in your groups. copyright©amberpasillas 2010

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Standards: CCSS. 6. G. 1: Find the area of right triangles, and special quadrilaterals by composing into rectangles or decomposing into triangles and other shapes. Essential Question: How is the formula for the area of a triangle related to the formula for the area of a parallelogram? Materials: Journal, a pencil, and a metric ruler. copyright©amberpasillas 2010

We can use the formula for area of a rectangle to find the formula for area of a triangle. Two triangles make We want to find half of one rectangle. the area of the rectangle. height AAA h base b What is the formula for the area of a triangle? copyright©amberpasillas 2010

A triangle is half the area of a rectangle. To find the area of a triangle, you use the rectangle formula (base times height) and divide it in half. A = base • height 12 m 2 13 m 5 m A = 5 • 12 = 30 m 2 2 copyright©amberpasillas 2010

Standards: CCSS. 6. G. 1: Find the area of right triangles, and special quadrilaterals by composing into rectangles or decomposing into triangles and other shapes. Essential Question: How is the formula for the area of a triangle related to the formula for the area of a parallelogram? You need your Journal open to homework, a pencil, glue, and a metric ruler. copyright©amberpasillas 2010

Given the formula for area of a triangle and the formula for area of a parallelogram we are going to use that information to discover the formula for the area of a trapezoid Watch carefully not to miss it! copyright©amberpasillas 2010

put together with a similar Given our original trapezoid flipped trapezoid, we found it made a parallelogram. h (b 1 + b 2) We are going to use the area of a parallelogram to find the area of a trapezoid. Notice that the trapezoid is half the area of the parallelogram. It takes two trapezoids to make one parallelogram. copyright©amberpasillas 2010

Notice that the trapezoid is half the area of the parallelogram. How do we find half the area? h Hint: Think of area of a triangle. (b 1 + b 2) Parallelogram Trapezoid A = (b 1 + b 2) • h 2 copyright©amberpasillas 2010

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