Measurements Warm - up Cover Me Power point Triangles Guided Practice

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Presentation transcript:

Measurements Warm - up Cover Me Power point Triangles Guided Practice Signs 1

Cover Me Warm Up Your local home builder can make solar screens for your home. The builder needs to know how many square feet of screening to purchase. The windows you wish to cover are as follows: 3’ x 3’ 3’ x 6’ 3’ x 5’ How many square feet of screening must be purchased? 42 ft2

What are two methods that could be used to find the area of the rectangle below? Count the squares Multiply length x width

Triangles What would happen if we added a diagonal line? It would cut the rectangle in half. What shape(s) would we form ? Two triangles

What conjectures can you make about the area of the shaded triangle ? 16 14

Do those previous conjectures still hold true, when you are looking at this figure? Why or why not ? 16 14

The height = the perpendicular distance The area of a triangle is equal to ½ of the area of the rectangle. There are two ways that we can express this relationship. The height = the perpendicular distance from the opposite vertex to the base. height base

This formula can be found on your formula chart.

Find the area of the triangle below. 8 6 Moody: make sure inches are square

The triangle below has a base of 10. 5 and an area of 40 The triangle below has a base of 10.5 and an area of 40. What is the height of the triangle? a = 60 h b = 20

Signs Guided Practice A construction company needs to post a sign at a work site. The city requires the sign to have a perimeter between 36 and 60 inches and an area greater than 100 inches2. The company has a sign that is 18 inches on each side and has a height of 15.6 inches. Does the sign meet the city requirements. Explain The sign meets the perimeter requirement. The sign meets the area requirement.