1. Chapter 11 Geometry and Measurement
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2. Lesson 11-1 Geometry: Congruent Lesson 11-2 Geometry: Symmetry
Geometry and Measurement 11
Lesson Geometry: Congruent
Lesson Geometry: Symmetry
Lesson Measurement: Perimeter
Lesson Problem-Solving Strategy: Solve a Simpler Problem
Lesson Measurement: Area
Lesson Problem-Solving Investigation: Choose a Strategy
Lesson Measurement: Area of Complex Figures
Chapter Menu

3. Five-Minute Check (over Chapter 10) Main Idea and Vocabulary
11-1
Geometry: Congruent
Five-Minute Check (over Chapter 10)
Main Idea and Vocabulary
California Standards
Example 1: Identify Congruent Figures
Example 2: Identify Congruent Figures
Example 3: Identify Congruent Figures
Geometry: Congruent
Lesson 1 Menu

4. I will identify congruent figures.
11-1
Geometry: Congruent
I will identify congruent figures.
congruent
Lesson 1 MI/Vocab

5. Standard 4MG3.3 Identify congruent figures.
11-1
Geometry: Congruent
Standard 4MG3.3 Identify congruent figures.
Lesson 1 Standard 1

6. Tell whether the figures are congruent.
11-1
Geometry: Congruent
Tell whether the figures are congruent.
The figures have the same size and shape.
Answer: The pentagons are congruent.
Lesson 1 Ex1

7. Tell whether the figures are congruent.
11-1
Geometry: Congruent
Tell whether the figures are congruent.
yes no
Lesson 1 CYP1

8. Tell whether the figures are congruent.
11-1
Geometry: Congruent
Tell whether the figures are congruent.
The figures do not have the same shape or the same size.
Answer: The triangles are not congruent.
Lesson 1 Ex2

9. Tell whether the figures are congruent.
11-1
Geometry: Congruent
Tell whether the figures are congruent.
yes no
Lesson 1 CYP2

10. Determine whether the gardens are congruent.
11-1
Geometry: Congruent
Determine whether the gardens are congruent.
Mr. Smith
10 ft
5 ft
Mr. Bose
8 ft
4 ft
Lesson 1 Ex3

11. 11-1
Geometry: Congruent
The diagrams show that both classrooms have the same shape. They are both rectangles.
Mr. Smith’s garden has a larger length and a larger width. So, the gardens are not the same size.
Answer: Since the gardens have different sizes, they are not congruent.
Lesson 1 Ex3

12. Determine whether the windows are congruent.
11-1
Geometry: Congruent
Determine whether the windows are congruent.
5 ft
3 ft
6 ft
3 ft
yes no
Lesson 1 CYP3

13. End of Lesson 1

14. Five-Minute Check (over Lesson 11-1) Main Idea and Vocabulary
11-2
Geometry: Symmetry
Five-Minute Check (over Lesson 11-1)
Main Idea and Vocabulary
California Standards
Example 1: Line Symmetry
Example 2: Line Symmetry
Example 3: Identify Rotational Symmetry
Lesson 2 Menu

15. I will identify figures that have bilateral and rotational symmetry.
11-2
Geometry: Symmetry
I will identify figures that have bilateral and rotational symmetry.
line symmetry
line of symmetry
bilateral symmetry
rotational symmetry
Lesson 2 MI/Vocab

16. 11-2
Geometry: Symmetry
Standard 4MG3.4 Identify figures that have bilateral and rotational symmetry.
Lesson 2 Standard 1

17. Answer: Yes; the figure has 1 line of symmetry.
11-2
Geometry: Symmetry
Tell whether the figure has line symmetry. Then tell how many lines of symmetry the figure has.
Answer: Yes; the figure has 1 line of symmetry.
Lesson 2 Ex1

18. 11-2
Geometry: Symmetry
Tell whether the figure has line symmetry. Then tell how many lines of symmetry the figure has.
yes; 1
yes; 2
yes; 4 no
Lesson 2 CYP1

19. Answer: Yes; the figure has 2 lines of symmetry.
11-2
Geometry: Symmetry
Tell whether the figure has line symmetry. Then tell how many lines of symmetry the figure has.
Answer: Yes; the figure has 2 lines of symmetry.
Lesson 2 Ex2

20. 11-2
Geometry: Symmetry
Tell whether the figure has line symmetry. Then tell how many lines of symmetry the figure has.
yes; 1
yes; 2
yes; 3 no
Lesson 2 CYP2

21. Tell whether the figure has rotational symmetry.
11-2
Geometry: Symmetry
Tell whether the figure has rotational symmetry.
Lesson 2 Ex3

22. 11-2
Geometry: Symmetry
Answer: The figure has rotational symmetry because it is the same after each rotation.
Lesson 2 Ex3

23. Tell whether the figure has rotational symmetry.
11-2
Geometry: Symmetry
Tell whether the figure has rotational symmetry.
yes no
Lesson 2 CYP3

24. End of Lesson 2

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

26. I will find the perimeter of a polygon.
11-3
Measurement: Perimeter
I will find the perimeter of a polygon.
perimeter
Lesson 3 MI/Vocab

27. 11-3
Measurement: Perimeter
Standard 4MG1.4 Understand and use formulas to solve problems involving perimeters and areas of rectangles and squares. Use those formulas to find the areas of more complex figures by dividing the figures into basic shapes.
Lesson 3 Standard 1

28. 11-3
Measurement: Perimeter
Standard 4AF1.4 Use and interpret formulas to answer questions about quantities and their relationships.
Lesson 3 Standard 2

29. 11-3
Measurement: Perimeter
Lesson 3 Key Concept 1

30. 11-3
Measurement: Perimeter
Meli is creating a pen for her puppy. The picture shows the layout for the pen. What is the perimeter of the pen?
60 in.
36 in.
Lesson 3 Ex1

31. Add the measures of all of the sides of the figure.
11-3
Measurement: Perimeter
One Way: Use Addition
Add the measures of all of the sides of the figure.
P =
P = 192
Lesson 3 Ex1

32. Another Way: Use Formula
11-3
Measurement: Perimeter
Another Way: Use Formula
Multiply the length and the width by 2. Then add.
P = (2 × ) + (2 × w)
P = (2 × 60) + (2 × 36)
P = or 192
Answer: So, the perimeter of the pen is 192 inches.
Lesson 3 Ex1

33. 11-3
Measurement: Perimeter
Surgie wants to build a fence for her yard. The picture shows the layout of her fence around the yard. What is the perimeter of the fence?
46 ft
192 ft
525 ft
92 ft
21 ft
25 ft
Lesson 3 CYP1

34. Find the perimeter of a square with a side length of 7 centimeters.
11-3
Measurement: Perimeter
Find the perimeter of a square with a side length of 7 centimeters.
There is more than one way to find the perimeter of a square.
Lesson 3 Ex2

35. Add the measures of all of the sides of the figure.
11-3
Measurement: Perimeter
One Way: Use Addition
Add the measures of all of the sides of the figure.
P =
P = 28
Lesson 3 Ex2

36. Another Way: Use Formula
11-3
Measurement: Perimeter
Another Way: Use Formula
Multiply the length of one side by 4 because there are 4 sides of equal length.
P = 4 × side length
P = 4 × 7
P = 28
Answer: So, the perimeter of the square is 28 centimeters.
Lesson 3 Ex2

37. Find the perimeter of a square with a side of 11 centimeters.
11-3
Measurement: Perimeter
Find the perimeter of a square with a side of 11 centimeters.
11 cm
15 cm
44 cm
55 cm
Lesson 3 CYP2

38. End of Lesson 3

39. Five-Minute Check (over Lesson 11-3) Main Idea California Standards
11-4
Problem-Solving Strategy: Solve a Simpler Problem
Five-Minute Check (over Lesson 11-3)
Main Idea
California Standards
Example 1: Problem-Solving Strategy
Lesson 4 Menu

40. I will solve problems by solving a simpler problem.
11-4
Problem-Solving Strategy: Solve a Simpler Problem
I will solve problems by solving a simpler problem.
Lesson 4 MI/Vocab

41. 11-4
Problem-Solving Strategy: Solve a Simpler Problem
Standard 4MR1.2 Determine when and how to break a problem into simpler parts.
Standard 4NS3.0 Students solve problems involving addition, subtraction, multiplication, and division of whole numbers and understand the relationships among the operations.
Lesson 4 Standard 1

42. 11-4
Problem-Solving Strategy: Solve a Simpler Problem
Pearl is painting a backdrop that is 30 feet long and 12 feet wide for her school play. The backdrop needs two coats of paint. She has two cans of paint. Each can of paint covers 400 square feet of backdrop. Does Pearl have enough paint?
Lesson 4 Ex1

43. Understand What facts do you know?
11-4
Problem-Solving Strategy: Solve a Simpler Problem
Understand
What facts do you know?
The 30-foot by 12-foot backdrop needs two coats of paint.
Pearl has two cans of paint.
Each can of paint covers 400 square feet.
What do you need to find?
Determine if Pearl has enough paint.
Lesson 4 Ex1

44. 11-4
Problem-Solving Strategy: Solve a Simpler Problem
Plan
Find how much paint is needed to paint the backdrop twice. Then find the total area the two cans of paint will cover and compare. You can solve a simpler problem to find the answer.
Lesson 4 Ex1

45. Solve Find the area of one section of the backdrop.
11-4
Problem-Solving Strategy: Solve a Simpler Problem
Solve
Find the area of one section of the backdrop.
10 × 12 = 120 square feet
Lesson 4 Ex1

46. 11-4
Problem-Solving Strategy: Solve a Simpler Problem
Solve
To find the area of the entire backdrop, multiply the area of one section of the backdrop by 3.
120 × 3 or 360 square feet
Since the backdrop needs to be painted twice, you need or 720 square feet of paint.
Answer: Since 720 < 800, there is enough paint.
Lesson 4 Ex1

47. 11-4
Problem-Solving Strategy: Solve a Simpler Problem
Check
The area of the backdrop is 30 × 12 or 360 square feet. Two coats of paint would need to cover 720 square feet. Since Pearl has enough paint to cover 800 square feet, the answer is correct.
Lesson 4 Ex1

48. End of Lesson 4

49. Five-Minute Check (over Lesson 11-4) Main Idea and Vocabulary
11-5
Measurement: Area
Five-Minute Check (over Lesson 11-4)
Main Idea and Vocabulary
California Standards
Key Concept: Area of a Rectangle
Key Concept: Area of a Square
Example 1: Area of a Rectangle
Example 2: Area of a Square
Perimeter and Area
Lesson 5 Menu

50. I will find the area of rectangles and squares.
11-5
Measurement: Area
I will find the area of rectangles and squares.
area
square units
Lesson 5 MI/Vocab

51. 11-5
Measurement: Area
Standard 4MG1.4 Understand and use formulas to solve problems involving perimeters and areas of rectangles and squares. Use those formulas to find the areas of more complex figures by dividing the figures into basic shapes.
Lesson 5 Standard 1

52. 11-5
Measurement: Area
Standard 4MG1.1 Measure the area of rectangular shapes by using appropriate units, such as square centimeter (cm2), square meter (m2), square kilometer (km2), square inch (in.2), square yard (yd.2), or square mile (mi.2).
Lesson 5 Standard 1

53. 11-5
Measurement: Area
Lesson 5 Key Concept 1

54. 11-5
Measurement: Area
Lesson 5 Key Concept 2

55. Find the area of the rectangle.
11-5
Measurement: Area
Find the area of the rectangle. 7 4
Lesson 5 Ex1

56. One Way: Count the square units.
11-5
Measurement: Area
One Way: Count the square units. 7 4
There are 28 square units.
Lesson 5 Ex1

57. Multiply the length times the width to find the area.
11-5
Measurement: Area
Another Way: Multiply
Multiply the length times the width to find the area.
A = length × width
A = × w
= 7 units × 4 units
= 28 square units
Answer: So, the area is 28 square units.
Lesson 5 Ex1

58. 11-5
Measurement: Area
What is the area of a rectangle with a length of 3 centimeters and a width of 7 centimeters?
10 square centimeters
20 square centimeters
21 square centimeters
42 square centimeters
Lesson 5 CYP1

59. What is the area of a square with sides that are 6 inches in length?
11-5
Measurement: Area
What is the area of a square with sides that are 6 inches in length?
A = side × side
Formula
A = 6 in. × 6 in.
Replace s with 6.
A = 36 square inches
Multiply.
Answer: So, the area of the square is 36 square inches.
Lesson 5 Ex2

60. What is the area of a square with sides that are 5 inches in length?
11-5
Measurement: Area
What is the area of a square with sides that are 5 inches in length?
5 square inches
10 square inches
20 square inches
25 square inches
Lesson 5 CYP2

61. End of Lesson 5

62. Five-Minute Check (over Lesson 11-5) Main Idea California Standards
11-6
Problem-Solving Investigation: Choose a Strategy
Five-Minute Check (over Lesson 11-5)
Main Idea
California Standards
Example 1: Problem-Solving Investigation
Lesson 6 Menu

63. I will choose the best strategy to solve a problem.
11-6
Problem-Solving Investigation: Choose a Strategy
I will choose the best strategy to solve a problem.
Lesson 6 MI/Vocab

64. 11-6
Problem-Solving Investigation: Choose a Strategy
Standard 4MR1.1 Analyze problems by identifying relationships, distinguishing relevant from irrelevant information, sequencing, and prioritizing information, and observing patterns.
Lesson 6 Standard 1

65. 11-6
Problem-Solving Investigation: Choose a Strategy
Standard 4NS3.0 Students solve problems involving addition, subtraction, multiplication, and division of whole numbers and understand the relationships among the operations.
Lesson 6 Standard 1

66. LYNN: It takes me 4 minutes to jog one block in my neighborhood.
11-6
Problem-Solving Investigation: Choose a Strategy
LYNN: It takes me 4 minutes to jog one block in my neighborhood.
YOUR MISSION: Find how long it takes Lynn to jog the route in her neighborhood.
Lesson 6 Ex1

67. Understand What facts do you know?
11-6
Problem-Solving Investigation: Choose a Strategy
Understand
What facts do you know?
It takes Lynn 4 minutes to jog one block.
A map is given of her jogging route.
What do you need to find?
Find how many minutes it takes her to jog the route shown.
Lesson 6 Ex1

68. Plan You can use number sentences to solve the problem. 11-6
Problem-Solving Investigation: Choose a Strategy
Plan
You can use number sentences to solve the problem.
Lesson 6 Ex1

69. Solve First find the total number of blocks Lynn jogs.
11-6
Problem-Solving Investigation: Choose a Strategy
Solve
First find the total number of blocks Lynn jogs.
= 16
Add the distances.
total blocks
So, she jogs 16 blocks.
Lesson 6 Ex1

70. Solve Use number sentences to find how long it takes to jog the route.
11-6
Problem-Solving Investigation: Choose a Strategy
Solve
Use number sentences to find how long it takes to jog the route.
× =
minutes per block
total blocks
total minutes
Answer: So, Lynn jogs for 64 minutes.
Lesson 6 Ex1

71. 11-6
Problem-Solving Investigation: Choose a Strategy
Check
To check your work estimate an answer: 4 × 20 = 80. Since 80 is close to 64, the answer is correct.
Lesson 6 Ex1

72. End of Lesson 6

73. Five-Minute Check (over Lesson 11-6) Main Idea and Vocabulary
11-7
Measurement: Area of Complex Figures
Five-Minute Check (over Lesson 11-6)
Main Idea and Vocabulary
California Standards
Example 1: Area of a Complex Figure
Example 2: Area of a Complex Figure
Lesson 7 Menu

74. Lesson 7 MI/Vocab/Standard 1
11-7
Measurement: Area of Complex Figures
I will find the area of complex figures.
complex figure
Lesson 7 MI/Vocab/Standard 1

75. Lesson 7 MI/Vocab/Standard 2
11-7
Measurement: Area of Complex Figures
Standard 4MG1.4 Understand and use formulas to solve problems involving perimeters and areas of rectangles and squares. Use those formulas to find the areas of more complex figures by dividing the figures into basic shapes.
Lesson 7 MI/Vocab/Standard 2

76. Find the area of the baseball stands.
11-7
Measurement: Area of Complex Figures
Find the area of the baseball stands.
Step 1 Break up the figure into smaller parts. The figure is already broken up into two rectangles that are easy to work with.
Lesson 7 Ex1

77. Step 2 Find the area of each part.
11-7
Measurement: Area of Complex Figures
Step 2 Find the area of each part.
Horizontal Rectangle
A = length × width
A =
10 ft ×
4 ft
A = 40 square feet
Lesson 7 Ex1

78. Vertical Rectangle A = length × width A = 14 ft × 4 ft
11-7
Measurement: Area of Complex Figures
Vertical Rectangle
A = length × width
A =
14 ft ×
4 ft
A = 56 square feet
Lesson 7 Ex1

79. 40 square feet + 56 square feet = 96 square feet
11-7
Measurement: Area of Complex Figures
Step 3 Add the areas.
40 square feet + 56 square feet = 96 square feet
Answer: The area of the baseball stands is 96 square feet.
Lesson 7 Ex1

80. Find the area of the figure.
11-7
Measurement: Area of Complex Figures
Find the area of the figure.
97 square inches
132 square inches
127 square inches
39 square inches
Lesson 7 CYP1

81. Find the area of the complex figure.
11-7
Measurement: Area of Complex Figures
Find the area of the complex figure.
Step 1 Break up the figure into smaller parts. Look for rectangles and squares. This figure can be broken up into 1 rectangle and 2 squares.
Lesson 7 Ex2

82. Step 2 Find the area of each part.
11-7
Measurement: Area of Complex Figures
Step 2 Find the area of each part.
Rectangle
A = length × width
A =
9 in. ×
2 in.
A = 18 square inches
Lesson 7 Ex2

83. Square A = side × side A = 2 in. × A = 4 square inches 11-7
Measurement: Area of Complex Figures
Square
A = side × side
A =
2 in. ×
A = 4 square inches
Lesson 7 Ex2

84. Answer: So, the area is 26 square inches.
11-7
Measurement: Area of Complex Figures
Step 3 Add the areas.
= 26
Answer: So, the area is 26 square inches.
Lesson 7 Ex2

85. Find the area of the complex figure.
11-7
Measurement: Area of Complex Figures
Find the area of the complex figure.
26 square centimeters
14 square centimeters
9 square centimeters
6 square centimeters
Lesson 7 CYP2

86. End of Lesson 7

87. 11 Five-Minute Checks Math Tool Chest Image Bank Geometry: Congruent
Geometry and Measurement 11
Five-Minute Checks
Math Tool Chest
Image Bank
Geometry: Congruent
Perimeter and Area
CR Menu

88. 1. Exit this presentation.
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.
IB Instructions

89. IB 1

90. IB 2

91. IB 3

92. IB 4

93. Lesson 11-1 (over Chapter 10) Lesson 11-2 (over Lesson 11-1)
Geometry and Measurement 11
Lesson 11-1 (over Chapter 10)
Lesson 11-2 (over Lesson 11-1)
Lesson 11-3 (over Lesson 11-2)
Lesson 11-4 (over Lesson 11-3)
Lesson 11-5 (over Lesson 11-4)
Lesson 11-6 (over Lesson 11-5)
Lesson 11-7 (over Lesson 11-6)
5Min Menu

94. (over Chapter 10)
If a circle has a radius of 4 meters, what is the length of the diameter?
2 meters
4 meters
8 meters
16 meters
5Min 1-1

95. If a circle has a diameter of 12 inches, what is the radius?
(over Chapter 10)
If a circle has a diameter of 12 inches, what is the radius?
2 inches
6 inches
12 inches
24 inches
5Min 1-2

96. Tell whether the figures are congruent.
(over Lesson 11-1)
Tell whether the figures are congruent.
yes no
5Min 2-1

97. Tell whether the figures are congruent.
(over Lesson 11-1)
Tell whether the figures are congruent.
yes no
5Min 2-2

98. Tell whether the figures are congruent.
(over Lesson 11-1)
Tell whether the figures are congruent.
yes no
5Min 2-3

99. Tell whether the figures are congruent.
(over Lesson 11-1)
Tell whether the figures are congruent.
yes no
5Min 2-4

100. (over Lesson 11-2)
Tell whether the figure has line symmetry. Then tell how many lines of symmetry the figure has.
yes, 4
no, 0
yes, 1
yes, 2
5Min 3-1

101. (over Lesson 11-2)
Tell whether the figure has line symmetry. Then tell how many lines of symmetry the figure has.
yes, 1
yes, 2
no, 0
yes, 0
5Min 3-2

102. Tell whether the figure has rotational symmetry.
(over Lesson 11-2)
Tell whether the figure has rotational symmetry.
yes no
5Min 3-3

103. Tell whether the figure has rotational symmetry.
(over Lesson 11-2)
Tell whether the figure has rotational symmetry.
yes no
5Min 3-4

104. (over Lesson 11-3)
Find the perimeter of a rectangle that is 12 feet long and 3 feet wide.
27 feet
15 feet
30 feet
18 feet
5Min 4-1

105. Find the perimeter of a square that is 9 yards on one side.
(over Lesson 11-3)
Find the perimeter of a square that is 9 yards on one side.
9 yards
18 yards
27 yards
36 yards
5Min 4-2

106. Sabrina spends more money; $0.05 Lavanya spends more money; $0.05
(over Lesson 11-4)
Solve. Lavanya buys a 5-pound watermelon for 41¢ per pound. Sabrina buys an 8-pound watermelon for 25¢ per pound. Who spends more money, and how much more?
Sabrina spends more money; $0.05
Lavanya spends more money; $0.05
Lavanya spends more money; $0.03
Lavanya spends more money; $0.16
5Min 5-1

107. Find the area of a rectangle that is 3 inches by 7 inches.
(over Lesson 11-5)
Find the area of a rectangle that is 3 inches by 7 inches.
21 square inches
10 inches
21 inches
10 square inches
5Min 6-1

108. Find the area of a rectangle that is 2 centimeters by 8 centimeters.
(over Lesson 11-5)
Find the area of a rectangle that is 2 centimeters by 8 centimeters.
20 square centimeters
10 square centimeters
16 square centimeters
18 square centimeters
5Min 6-2

109. Find the area of a square that has sides of 5 yards.
(over Lesson 11-5)
Find the area of a square that has sides of 5 yards.
20 yards
25 square yards
20 square yards
10 square yards
5Min 6-3

110. Find the area of a square with 9 feet per side.
(over Lesson 11-5)
Find the area of a square with 9 feet per side.
18 square feet
36 square feet
72 square feet
81 square feet
5Min 6-4

111. (over Lesson 11-6)
Solve. On weekdays, a restaurant serves customers for lunch and 50 for dinner On Saturday and Sunday, the number of customers doubles. Find the number of customers the restaurant serves in one week.
375 customers
525 customers
675 customers
1,050 customers
5Min 7-1

112. This slide is intentionally blank.
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