1. Splash Screen Chapter 11 Measurement: Perimeter, Area, and Volume Click the mouse or press the space bar to continue. Chapter 11 Measurement: Perimeter, Area, and Volume Click the mouse or press the space bar to continue.

2. Chapter Menu Lesson 11-1Lesson 11-1Perimeter Lesson 11-2Lesson 11-2Area of Parallelograms Lesson 11-3Lesson 11-3Problem-Solving Strategy: Make a Model Lesson 11-4Lesson 11-4Area of Triangles Lesson 11-5Lesson 11-5Problem-Solving Investigation: Choose the Best Strategy Lesson 11-6Lesson 11-6Volume of Rectangular Prisms Lesson 11-7Lesson 11-7Surface Area of Rectangular Prisms 11 Measurement: Perimeter, Area, and Volume

3. Lesson 1 Menu Five-Minute Check (over Chapter 10) Main Idea and Vocabulary California Standards Key Concept: Perimeter of a Square Key Concept: Perimeter of a Rectangle Example 1: Perimeter of a Square Example 2: Perimeter of a Rectangle 11-1 Perimeter

4. 11-1 Perimeter Lesson 1 MI/Vocab I will find the perimeters of squares and rectangles. perimeter

5. 11-1 Perimeter Lesson 1 Standard 1 Standard 5MG1.4 Differentiate between, and use appropriate units of measures for two- and three-dimensional objects (i.e., find the perimeter, area, volume).

6. Lesson 1 Key Concept 1 11-1 Perimeter

7. Lesson 1 Key Concept 2 11-1 Perimeter

8. Lesson 1 Ex1 The base of the Eiffel Tower is shaped like a square with each side measuring 125 meters. What is the perimeter of the base? P = 4sPerimeter of a square P = 4(125)Replace s with 125. 11-1 Perimeter P = 500Multiply. Answer: The perimeter of the base of the Eiffel Tower is 500 meters.

9. Lesson 1 CYP1 The park is shaped like a square with each side measuring 100 yards. What is the perimeter of the park? A.400 feet B.400 yards C.200 yards D.100 yards 11-1 Perimeter

10. Lesson 1 Ex2 Find the perimeter of the rectangle. Answer: The perimeter is 22 meters. 11-1 Perimeter 7 m 4 m Write the formula. P = 2(7) + 2(4) P = 14 + 8Multiply. P = 22Add. P = 2 + 2w Replace with 7 and w with 4.

11. Lesson 1 CYP2 Find the perimeter of the rectangle. A. 7 cm B. 6 cm C. 8 cm D. 10 cm 11-1 Perimeter 3 cm 1 cm

12. End of Lesson 1

13. Lesson 2 Menu Five-Minute Check (over Lesson 11-1) Main Idea and Vocabulary California Standards Key Concept: Area of a Parallelogram Example 1: Find Areas of Parallelograms Example 2: Find Areas of Parallelograms Example 3: Real-World Example 11-2 Area of Parallelograms

14. 11-2 Area of Parallelograms Lesson 2 MI/Vocab I will find the areas of parallelograms. base height

15. 11-2 Area of Parallelograms Lesson 2 Standard 1 Standard 5MG1.1 Derive and use the formula for the area of a triangle and of a parallelogram by comparing it with the formula for the area of a rectangle. Standard 5MG1.4 Differentiate between, and use appropriate units of measures for two- and three- dimensional objects.

16. Lesson 2 Key Concept 11-2 Area of Parallelograms

17. Lesson 2 Ex1 11-2 Area of Parallelograms Find the area of the parallelogram. Answer: The area is 30 square units or 30 units 2. A = bhArea of parallelogram A = 3 10Replace b with 3 and h with 10. A = 30Multiply. The base is 3 and the height is 10.

18. Lesson 2 CYP1 11-2 Area of Parallelograms Find the area of the parallelogram. A. 35 units 2 B. 28 units 2 C. 49 units 2 D. 64 units 2

19. Lesson 2 Ex2 Find the area of the parallelogram. Answer: The area is 36.9 square centimeters or 36.9 cm 2. 11-2 Area of Parallelograms A = bhArea of parallelogram A = 8.2 4.5Replace b with 8.2 and h with 4.5. A = 36.9Multiply.

20. Lesson 2 CYP2 Find the area of the parallelogram. A.68 mm 2 B.70 mm 2 C.68.64 mm 2 D.70.42 mm 2 11-2 Area of Parallelograms

21. Lesson 2 Ex3 11-2 Area of Parallelograms A particular area rug is shaped like a parallelogram. Find the area of the floor it will cover. Estimate A = 11 6 or 66 ft 2

22. Lesson 2 Ex3 11-2 Area of Parallelograms A = bhArea of parallelogram A = 10 6 1 2 1 4 Multiply. A = 65 5 8 Answer: The area of the rug is 65 square feet. 5 8 Check for Reasonableness Compare to the estimate. 65 ≈ 66 5 8 Replace b with 10 and h with 6. 1 2 1 4

23. Lesson 2 CYP3 11-2 Area of Parallelograms A parking lot is shaped like a parallelogram. Find the area of ground it will cover. A.7,021 yd 2 C.7,200 yd 2 B.7,125 yd 2 1 8 D.7,120 yd 2 5 8

24. End of Lesson 2

25. Lesson 3 Menu Five-Minute Check (over Lesson 11-2) Main Idea California Standards Example 1: Problem-Solving Strategy 11-3 Problem-Solving Strategy: Make a Model

26. 11-3 Problem-Solving Strategy: Make a Model Lesson 3 MI/Vocab I will solve problems by making a model.

27. 11-3 Problem-Solving Strategy: Make a Model Lesson 3 Standard 1 Standard 5MR2.3 Use a variety of methods, such as words, numbers, symbols, charts, graphs, tables, diagrams, and models, to explain mathematical reasoning. Standard 5MG1.4 Differentiate between, and use appropriate units of measures for two- and three- dimensional objects.

28. Lesson 3 Ex1 11-3 Problem-Solving Strategy: Make a Model While volunteering at the local farm market, Julia was asked to make a display for the oranges. She needs to stack the oranges in the shape of a square pyramid. The base should have 100 oranges and one orange needs to be on top. There are 400 oranges total. Are 400 oranges enough to make a square pyramid with a base of 100 oranges?

29. Lesson 3 Ex1 Understand What facts do you know? The oranges need to be in the shape of a square pyramid with 100 oranges in the base and 1 orange on top. There are 400 oranges altogether. What do you need to find? Are 400 oranges enough to make a square pyramid with a base of 100 oranges? 11-3 Problem-Solving Strategy: Make a Model

30. Lesson 3 Ex1 Plan Make a model using pennies to find the number of oranges needed. 11-3 Problem-Solving Strategy: Make a Model

31. Lesson 3 Ex1 Solve Begin with 100 pennies. For each consecutive layer, place 1 penny where 4 meet. 11-3 Problem-Solving Strategy: Make a Model bottom layer 100 second layer 81 third layer 64 fourth layer 49

32. Lesson 3 Ex1 Solve Answer: By continuing this pattern, 100 + 81 + 64 + 49 + 36 + 25 + 16 + 9 + 4 + 1 or 385 oranges will be needed. Since 385 < 400, 400 oranges are enough to make a square pyramid. 11-3 Problem-Solving Strategy: Make a Model

33. Lesson 3 Ex1 Check 11-3 Problem-Solving Strategy: Make a Model Look back at the problem. 400 – 100 – 81 – 64 – 49 – 36 – 25 – 16 – 9 – 4 – 1 leaves 15 oranges.

34. End of Lesson 3

35. Lesson 4 Menu Five-Minute Check (over Lesson 11-3) Main Idea California Standards Key Concept: Area of a Triangle Example 1: Find the Area of a Triangle Example 2: Find the Area of a Triangle Example 3: Real-World Example 11-4 Area of Triangles

36. 11-4 Area of Triangles Lesson 4 MI/Vocab I will find the areas of triangles.

37. 11-4 Area of Triangles Lesson 4 Standard 1 Standard 5MG1.1 Derive and use the formula for the area of a triangle and of a parallelogram by comparing it with the formula for the area of a rectangle. Standard 5MG1.4 Differentiate between, and use appropriate units of measures for two- and three- dimensional objects.

38. Lesson 4 Key Concept 11-4 Area of Triangles

39. Lesson 4 Ex1 11-4 Area of Triangles Find the area of the triangle. Area of a triangle Replace b with 5 and h with 8. By counting, you find that the measure of the base of the triangle is 5 and the height is 8. A = bh 1 2 A = (5) (8) 1 2

40. Lesson 4 Ex1 11-4 Area of Triangles Multiply. A = (40) 1 2 A = 20 Answer: The area of the triangle is 20 square units.

41. Lesson 4 CYP1 Find the area of the triangle. 11-4 Area of Triangles A. 25 units 2 B. 16 units 2 D. 20 units 2 C. 12 units 2 1 2

42. Lesson 4 Ex2 11-4 Area of Triangles Find the area of the triangle. Area of a triangle Replace b with 16.4 and h with 7.9. A = bh 1 2 A = (16.4) (7.9) 1 2

43. Lesson 4 Ex2 11-4 Area of Triangles Multiply. Divide. 129.56 ÷ 2 = 64.78 A = (129.56) 1 2 A = 64.78 Answer: The area of the triangle is 64.78 square centimeters.

44. Lesson 4 CYP2 Find the area of the triangle. 11-4 Area of Triangles B.99 cm A.99 cm 2 C.49 cm 1 2 1 2 49 cm 2 D.

45. Lesson 4 Ex3 11-4 Area of Triangles Area of a triangle Replace b with 12 and h with 6. A = bh 1 2 A = (12) (6) 1 2 Clio cut out a banner in the shape of a triangle. What is the area of the banner?

46. Lesson 4 Ex3 11-4 Area of Triangles Multiply. Divide. 72 ÷ 2 = 36 A = (72) 1 2 A = 36 Answer: The area of the triangle is 36 square inches.

47. Lesson 4 CYP3 Kira drew a triangle on the sidewalk with chalk. What is the area of her triangle? A.21 ft 2 B.10.5 ft 2 C.20 ft 2 D.11 ft 2 11-4 Area of Triangles

48. End of Lesson 4

49. Lesson 5 Menu Five-Minute Check (over Lesson 11-4) Main Idea California Standards Example 1: Problem-Solving Investigation 11-5 Problem-Solving Investigation: Choose the Best Strategy

50. 11-5 Problem-Solving Investigation: Choose the Best Strategy Lesson 5 MI/Vocab I will choose the best strategy to solve a problem.

51. 11-5 Problem-Solving Investigation: Choose the Best Strategy Lesson 5 Standard 1 Standard 5MR2.3 Use a variety of methods, such as words, numbers, symbols, charts, graphs, tables, diagrams, and models, to explain mathematical reasoning. Standard 5MG1.4 Differentiate between, and use appropriate units of measures for two- and three- dimensional objects.

52. Lesson 5 Ex1 ROSS: I want people to find out about a party I’m having, so I will tell Jamie and Cara and have each of them tell two friends, and so on. I wonder how many people would be invited to the party in three minutes if two friends tell another two friends each minute? YOUR MISSION: Find the number of people who would be invited to the party in three minutes. 11-5 Problem-Solving Investigation: Choose the Best Strategy

53. Lesson 5 Ex1 Understand What facts do you know? You know that Ross tells Jamie and Cara about the party, and then each friend tells two other friends each minute. What do you need to find? You need to find the number of people who would be invited to the party in three minutes. 11-5 Problem-Solving Investigation: Choose the Best Strategy

54. Lesson 5 Ex1 Plan Draw a diagram to show the number of people who would be invited to the party. 11-5 Problem-Solving Investigation: Choose the Best Strategy

55. Lesson 5 Ex1 Solve 11-5 Problem-Solving Investigation: Choose the Best Strategy Answer: So, 14 people would be invited to the party. Ross Jamie Cara 1 minute 1 2 2 minutes1 2 1 2 3 minutes1 2 1 2 1 2

56. Lesson 5 Ex1 Check 11-5 Problem-Solving Investigation: Choose the Best Strategy Look back at the problem to see if the diagram meets all of the requirements. Since the diagram is correct, the answer is correct.

57. End of Lesson 5

58. Lesson 6 Menu Five-Minute Check (over Lesson 11-5) Main Idea and Vocabulary California Standards Key Concept: Volume of a Rectangular Prism Example 1: Find the Volume of a Rectangular 11-6 Volume of Rectangular Prisms Prism Example 2: Real-World Example

59. 11-6 Volume of Rectangular Prisms Lesson 6 MI/Vocab/Standard 1 I will find the volume of rectangular prisms. rectangular prism volume cubic units

60. 11-6 Volume of Rectangular Prisms Lesson 6 Standard 1 Standard 5MG1.3 Understand the concept of volume and use the appropriate units in common measuring systems to compute the volume of rectangular solids. Standard 5MG1.4 Differentiate between, and use appropriate units of measures for two- and three-dimensional objects (i.e., find the perimeter, area, volume).

61. Lesson 6 Key Concept 11-6 Volume of Rectangular Prisms

62. Lesson 6 Ex1 11-6 Volume of Rectangular Prisms Find the volume of the rectangular prism. Estimate V ≈ 10 m × 10 m × 5 m or 500 m 3 In the figure, the length is 10 meters, the width is 8 meters, and the height is 5 meters.

63. Lesson 6 Ex1 11-6 Volume of Rectangular Prisms Volume of rectangular prism V = 10 8 5 V = 400Multiply. Answer: The volume is 400 cubic meters. Replace with 10, w with 8, and h with 5. V = wh

64. Lesson 6 Ex1 11-6 Volume of Rectangular Prisms Since we overestimated, the answer should be less than the estimate. 400 < 500 Check for Reasonableness

65. Lesson 6 CYP1 11-6 Volume of Rectangular Prisms Find the volume of a rectangular prism with a length of 14 millimeters, a width of 6 millimeters, and a height of 3 millimeters. A.250 mm 3 B.300 mm 3 C.252 mm 3 D.254 mm 3

66. Lesson 6 Ex2 11-6 Volume of Rectangular Prisms A closet is 6.2 feet long, 2.8 feet wide, and 8.1 feet high. Find the amount of space contained within the closet for storage. Round to the nearest foot. Estimate V ≈ 6 ft × 3 ft × 8 ft or 144 ft 3

67. Lesson 6 Ex2 11-6 Volume of Rectangular Prisms Volume of rectangular prism V = 6.2 2.8 8.1 V = 140.66Multiply, then round to the nearest foot. Answer: The storage space in the closet is about 141 cubic feet. Replace with 6.2, w with 2.8, and h with 8.1. V = wh

68. Lesson 6 Ex2 11-6 Volume of Rectangular Prisms Compare to the estimate. 141 ≈ 144. Check for Reasonableness

69. Lesson 6 CYP2 A tissue box is 12 inches long, 5 inches wide and 5 inches high. Find the amount of space contained within the box for tissues. A.300 cubic inches B.250 cubic inches C.125 cubic inches D.315 cubic inches 11-6 Volume of Rectangular Prisms

70. End of Lesson 6

71. Lesson 7 Menu Five-Minute Check (over Lesson 11-6) Main Idea and Vocabulary California Standards Key Concept: Surface Area of a Rectangular Prism Example 1: Find the Surface Area Example 2: Real-World Example 11-7 Surface Area of Rectangular Prisms Using a Net to Build a Cube

72. 11-7 Surface Area of Rectangular Prisms Lesson 7 MI/Vocab I will find the surface areas of rectangular prisms. surface area

73. 11-7 Surface Area of Rectangular Prisms Lesson 7 Standard 1 Standard 5MG1.2 Construct a cube and rectangular box from two-dimensional patterns and use these patterns to compute the surface area for these objects. Standard 5MR1.2 Determine when and how to break a problem into simpler parts.

74. Lesson 7 Key Concept 11-7 Surface Area of Rectangular Prisms

75. Lesson 7 Ex1 11-7 Surface Area of Rectangular Prisms Find the surface area of the rectangular prism. Find the area of each face. top and bottom: 2( w) = 2(8 × 4) or 64

76. Lesson 7 Ex1 11-7 Surface Area of Rectangular Prisms front and back: two sides: 2(wh) = 2(4 × 3) or 24 Add to find the surface area. Answer: The surface area is 64 + 48 + 24 or 136 square centimeters. 2( h) = 2(8 × 3) or 48

77. Lesson 7 CYP1 Find the surface area of a rectangular prism that is 12 inches long, 6 inches wide, and 5 inches high. A. 320 square inches B. 300 square inches C. 324 square inches D. 342 square inches 11-7 Surface Area of Rectangular Prisms

78. Lesson 7 Ex2 A box measures 13 inches long, 7 inches wide, and 4 inches deep. What is the surface area of the box? 11-7 Surface Area of Rectangular Prisms Surface area of a prism S = 2(13 × 7) + 2(13 × 4) + 2(7 × 4) S = 2(91) + 2(52) + 2(28) Simplify within parentheses. S = 182 + 104 + 56 Multiply. S = 342 Add. Answer: The box has a surface area of 342 square inches. S = 2 w + 2 h + 2wh = 13, w = 7, h = 4

79. Lesson 7 CYP2 A flat screen television measure 48 inches long, 2 inches wide, and 25 inches high. What is the surface area of the TV? A.2,692 square inches B.2,700 square inches C.1,874 square inches D.2,962 square inches 11-7 Surface Area of Rectangular Prisms

80. End of Lesson 7

81. 11 Measurement: Perimeter, Area, and Volume 11 Measurement: Perimeter, Area, and Volume CR Menu Five-Minute Checks Math Tool Chest Image Bank Area of Triangles Using a Net to Build a Cube

82. 11 Measurement: Perimeter, Area, and Volume IB Instructions To use the images that are on the following four slides in your own presentation: 1.Exit this presentation. 2.Open a chapter presentation using a full installation of Microsoft ® PowerPoint ® in editing mode and scroll to the Image Bank slides. 3.Select an image, copy it, and paste it into your presentation.

83. 11 Measurement: Perimeter, Area, and Volume IB 1

84. 11 Measurement: Perimeter, Area, and Volume IB 2

85. 11 Measurement: Perimeter, Area, and Volume IB 3

86. 11 Measurement: Perimeter, Area, and Volume IB 4

87. 11 Measurement: Perimeter, Area, and Volume 11 Measurement: Perimeter, Area, and Volume 5Min Menu Lesson 11-1Lesson 11-1(over Chapter 10) Lesson 11-2Lesson 11-2(over Lesson 11-1) Lesson 11-3Lesson 11-3(over Lesson 11-2) Lesson 11-4Lesson 11-4(over Lesson 11-3) Lesson 11-5Lesson 11-5(over Lesson 11-4) Lesson 11-6Lesson 11-6(over Lesson 11-5) Lesson 11-7Lesson 11-7(over Lesson 11-6)

88. 11 Measurement: Perimeter, Area, and Volume 5Min 1-1 (over Chapter 10) Draw the three-dimensional figure whose top, side, and front views are shown. topsidefront

89. 11 Measurement: Perimeter, Area, and Volume 5Min 1-1 (over Chapter 10) D. C. B. A.

90. 11 Measurement: Perimeter, Area, and Volume 5Min 1-2 (over Chapter 10) Draw the three-dimensional figure whose top, side, and front views are shown. topsidefront

91. 11 Measurement: Perimeter, Area, and Volume 5Min 1-2 (over Chapter 10) C. D. B. A.

92. 11 Measurement: Perimeter, Area, and Volume 5Min 2-1 (over Lesson 11-1) A.11 in. B.28 in. C.3 in. D.22 in. Find the perimeter of the rectangle. length 7 in., width 4 in.

93. 11 Measurement: Perimeter, Area, and Volume 5Min 2-2 (over Lesson 11-1) A.52 cm B.25 in C.36 cm D.62 cm Find the perimeter of the square. sides 13 cm

94. 11 Measurement: Perimeter, Area, and Volume 5Min 2-3 (over Lesson 11-1) A.24 ft B.48 ft C.144 ft D.140 in Find the perimeter of the rectangle. length 14 ft, width 10 ft

95. 11 Measurement: Perimeter, Area, and Volume 5Min 2-4 (over Lesson 11-1) A.100 yd B.25 yd C.255 ft D.125 ft Find the perimeter of the square. sides 25 yd

96. 11 Measurement: Perimeter, Area, and Volume 5Min 3-1 (over Lesson 11-2) A.128 yd 2 B.28 yd 2 C.248 yd 2 D.112 yd 2 Find the area of the parallelogram. base 14 yd, height 8 yd

97. 11 Measurement: Perimeter, Area, and Volume 5Min 3-2 (over Lesson 11-2) A.143 ft 2 B.141 ft 2 C.144 ft 2 D.144 yd 2 Find the area of the parallelogram. base 13 ft, height 11 ft

98. 11 Measurement: Perimeter, Area, and Volume 5Min 3-3 (over Lesson 11-2) Find the area of the parallelogram. base 8 in., height 6 in. 1 2 A.48 in 2 B.44 in 2 C.52 in 2 D.48 ft

99. 11 Measurement: Perimeter, Area, and Volume 5Min 3-4 (over Lesson 11-2) A.49.92 cm 2 B.45.12 cm 2 C.14.8 cm 2 D.24.8 cm 2 Find the area of the parallelogram. base 9.6 cm, height 5.2 cm

100. 11 Measurement: Perimeter, Area, and Volume 5Min 4-1 (over Lesson 11-3) A.48 cans B.52 cans C.44 cans D.70 cans Solve. Use the make a model strategy. Cans of tuna are stacked into a 4-layer pyramid-shaped display. The bottom layer is 8-cans long and 4-cans wide. There is 1 less can in the length and width of each layer above it. How many cans are on display?

101. 11 Measurement: Perimeter, Area, and Volume 5Min 5-1 (over Lesson 11-4) A.25 ft 2 B.25 ft C.12.5 ft 2 D.12.5 ft Find the area of the triangle. base 5 ft, height 5 ft

102. 11 Measurement: Perimeter, Area, and Volume 5Min 5-2 (over Lesson 11-4) A.552 cm 2 B.71 cm 2 C.554 cm 2 D.600 cm 2 Find the area of the triangle. base 48 cm, height 23 cm

103. 11 Measurement: Perimeter, Area, and Volume 5Min 5-3 (over Lesson 11-4) A.2.32 cm 2 B.8.32 cm 2 C.15.23 cm 2 D.18.32 cm 2 Find the area of the triangle. base 5.2 cm, height 3.2 cm

104. 11 Measurement: Perimeter, Area, and Volume 5Min 5-6 (over Lesson 11-4) Find the area of the triangle. base 5 in., height 7 in. 1 2 D. 18 in 2 3 4 C. 2 in 2 A. 12 in 2 1 2 B. 30 in 2 1 2

105. 11 Measurement: Perimeter, Area, and Volume 5Min 6-1 (over Lesson 11-5) A.$22 B.$24 C.$19 D.$34 Solve. Desta saved $1 the first week. After that she saved $2 more each week than she had the week before. How much money did she save in the tenth week?

106. 11 Measurement: Perimeter, Area, and Volume 5Min 7-1 (over Lesson 11-6) A.168 yd 3 B.18 yd 3 C.59 yd 3 D.88 yd 3 Find the volume of the prism. length 8 yd, width 7 yd, height 3 yd

107. 11 Measurement: Perimeter, Area, and Volume 5Min 7-2 (over Lesson 11-6) A.240 cm 3 B.480 cm 3 C.144 in 3 D.25 in 3 Find the volume of the prism. length 12 cm, width 8 cm, height 5 cm

108. 11 Measurement: Perimeter, Area, and Volume 5Min 7-3 (over Lesson 11-6) B. 141 ft 3 3 4 A.144 ft 3 Find the volume of the prism. C. 3,444 in 3 D. 1,333 cm 3 length 5 ft, width 3 ft, height 9 ft 1 4

109. 11 Measurement: Perimeter, Area, and Volume 5Min 7-4 (over Lesson 11-6) A.156.222 cm 3 B.147.744 cm 3 C.24 cm 3 D.444 in Find the volume of the prism. length 2.4 cm, width 17.1 cm, height 3.6 cm

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