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Warm up

Warm up. Find the area of the irregular figure below. 69 cm 720 cm 2 900 cm 2 1080 cm 2. 15 cm. 30 cm. 24 cm. Problem Solving: Sample for Analysis.

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Warm up

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  1. Warm up Find the area of the irregular figure below. • 69 cm • 720 cm2 • 900 cm2 • 1080 cm2 15 cm 30 cm 24 cm

  2. Problem Solving: Sample for Analysis • The student is expected to use a problem-solving model that incorporates understanding the problem, making a plan, carrying out the plan, and evaluating the solution for reasonableness. (TAKS 6:6.11B)

  3. Patricia is working with her family to improve the quality of the grasses in the pastures on their ranch. Today, Patricia is working on the south pasture which has a circular pond in it. In order to buy the right amount of grass seed for the south pasture, Patricia must determine the area of the pasture. Pond 1,820 yards Grass 3,100 yards

  4. What else do you need to know in order to determine the area of the pasture that is covered in grass? • A. The radius of the pond. • B. The number of pastures on the ranch. • C. The depth of the pond • D. The width of the south pasture. Pond 1,820 yards Grass 3,100 yards

  5. Strategy: • Read the problem carefully. • Patricia will only plant grass seed in the part of the pasture that is covered with grass. She will not plant grass seeds in the pond. • To find the area of the pasture covered in grass, you will subtract the area of the pond from the area of the pasture. • To find the area of the pond, you must know the length of the pond’s radius. • Choice A is the correct answer. Tip: You already know the length and width of the pasture since they are given in the drawing. Eliminate Choice D. Pond 1,820 yards Grass 3,100 yards

  6. Practice • Which procedure would you use to find the area of the table not covered by the book? • Find the perimeter of the book and add it to the circumference of the table. • Subtract the area of the book from the area of the table. • Find the perimeter of the book and add it to the area of the table. • Find the area of the book and add it to the area of the table.

  7. The drawing shows a bird’s-eye vies of the property on which Nathan’s house is built. garden garage House 100 ft. • What other information do you need to find the area of Nathan’s piece of property? • The width of the property. • The area of the house and garage. • The perimeter of the garden. • The elevation of the property.

  8. Candice is preparing a display for her science class. She will be using 5 cones in her demonstration. The cones will be arranged in a straight line parallel to the front edge of the display table. • What else do you need to know to find out how many linear feet she needs for her display. • The volume of each cone. • The height of each cone. • The diameter of each cone. • The surface of each cone. • The area of the display table.

  9. Yolanda looks at the drawing of a shape. She multiplies the length of the base by the height, and then divides by 2. Based on her calculations, which statement below is true? • The shape is like that of a trapezoid, and she has calculated the area. • The shape is triangular, and she has calculated the area. • The shape is rectangular and she has calculated the perimeter. • The shape is circular and she has calculated the circumference.

  10. The figure shows a triangle in the interior of a circle. • Which procedure would you use to find the area of the shaded region. • Find the circumference of the circle and subtract the perimeter of the triangle. • Find the area of the circle and subtract the area of the triangle. • Find the area of the circle and add the area of the triangle. • Find the circumference of the circle and subtract the area of the triangle.

  11. The figure drawn with a solid line is a scale drawing of the foundation of a house. C D I H E B A F J G • Which procedure would you use to find the area of the house’s foundation? • Find the area of the rectangle ABIJ and rectangle EFGH. • Find the perimeter of the rectangle ABEF. • Find the area of rectangle BCDE and subtract the area of rectangle GHIJ. • Find the area of rectangle GHIJ and add it to the area of rectangle BCDE.

  12. The figure shows a rectangle in the interior of a triangle. • Which procedure would you use to find the area of the shaded region? • Find the perimeter of the triangle and add the perimeter of the rectangle. • Find the area of the triangle and add the area of the rectangle. • Find the perimeter of the triangle and subtract the area of the rectangle. • Find the difference of the area of the rectangle from the area of the triangle.

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