1. Chapter 12
Fractions
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2. Lesson 12-1 Parts of a Whole
Fractions 12
Lesson Parts of a Whole
Lesson Problem-Solving Investigation: Choose a Strategy
Lesson Find Equivalent Fractions
Lesson Problem-Solving Strategy: Draw a Picture
Lesson Compare Fractions
Lesson Add Like Fractions
Lesson Subtract Like Fractions
Chapter Menu

3. Five-Minute Check (over Chapter 11) Main Idea and Vocabulary
12-1
Parts of a Whole
Five-Minute Check (over Chapter 11)
Main Idea and Vocabulary
California Standards
Example 1: Write and Read Fractions
Example 2: Write and Read Fractions
Example 3: Real-World Example
Lesson 1 Menu

4. I will read and write fractions for part of a whole.
12-1
Parts of a Whole
I will read and write fractions for part of a whole.
fraction
numerator
denominator
Lesson 1 MI/Vocab

5. 12-1
Parts of a Whole
Standard 3NS3.1 Compare fractions represented by drawings or concrete materials to show equivalency and to add and subtract simple fractions in context (e.g.,
of a pizza is the same amount as of another pizza that is the same size; show that is larger than ).
Lesson 1 Standard 1

6. What fraction of the spinner is yellow?
12-1
Parts of a Whole
What fraction of the spinner is yellow?
Lesson 1 Ex1

7. 12-1
Parts of a Whole
One Way: Models
The spinner represents one whole. There are 5 equal parts. A whole can be divided into 5 equal parts, or fifths.
Lesson 1 Ex1

8. Another Way: Paper and Pencil
12-1
Parts of a Whole
Another Way: Paper and Pencil
The spinner has 5 equal parts. One part is yellow. 1
part that is yellow 5
total number of equal parts
Write 1 5
Read
One-fifth
Answer: So, one-fifth or of the spinner is yellow. 1 5
Lesson 1 Ex1

9. What fraction of the figure is shaded green?
12-1
Parts of a Whole
What fraction of the figure is shaded green? A. 2 3 10 7 B. C. 7 10 D. 3 10
Lesson 1 CYP1

10. What fraction of the figure is shaded?
12-1
Parts of a Whole
What fraction of the figure is shaded? 3
parts that are blue 4
total number of equal parts
The figure above represents one whole. There are 4 equal parts. A whole can be divided into 4 equal parts or fourths. Three of the four parts are shaded.
Answer: 3 4
Lesson 1 Ex2

11. What fraction of the figure is shaded green?
12-1
Parts of a Whole
What fraction of the figure is shaded green? A. 8 15 15 8 B. C. 7 15 D. 3 10
Lesson 1 CYP2

12. 12-1
Parts of a Whole
The figure shows the part of the yard that has been raked. What fraction of the yard has been raked?
Lesson 1 Ex3

13. 12-1
Parts of a Whole 5
parts that are blue 6
total number of equal parts
The figure above represents one whole. There are 6 equal parts. A whole can be divided into 6 equal parts or sixths. Five of the six parts are shaded.
Answer: 5 6
Lesson 1 Ex3

14. 12-1
Parts of a Whole
The figure shows a circle with a missing piece. What fraction of the circle is shown? A. 1 5 B. 1 4 C. 3 4 D. 2 5
Lesson 1 CYP3

15. End of Lesson 1

16. Five-Minute Check (over Lesson 12-1) Main Idea California Standards
12-2
Problem-Solving Investigation: Choose a Strategy
Five-Minute Check (over Lesson 12-1)
Main Idea
California Standards
Example 1: Problem-Solving Investigation
Lesson 2 Menu

17. I will choose the best strategy to solve a problem.
12-2
Problem-Solving Investigation: Choose a Strategy
I will choose the best strategy to solve a problem.
Lesson 2 MI/Vocab

18. 12-2
Problem-Solving Investigation: Choose a Strategy
Standard 3MR2.3 Use a variety of methods, such as words, numbers, symbols, charts, graphs, tables, diagrams, and models, to explain mathematical reasoning.
Standard 3NS2.1 Find the sum or difference of two whole numbers between 0 and 10,000.
Lesson 2 Standard 1

19. YOUR MISSION: Find the two numbers Carlota rolled.
12-2
Problem-Solving Investigation: Choose a Strategy
CARLOTA: Last night, I played a board game. On one turn, I rolled two number cubes. The sum of the numbers was 9. The difference was 3.
YOUR MISSION: Find the two numbers Carlota rolled.
Lesson 2 Ex1

20. Understand What facts do you know? Carlota rolled two number cubes.
12-2
Problem-Solving Investigation: Choose a Strategy
Understand
What facts do you know?
Carlota rolled two number cubes.
The sum of the numbers was 9.
The difference was 3.
What do you need to find?
Find the two numbers rolled.
Lesson 2 Ex1

21. Plan Make a table to show all of the possible rolls and their sums.
12-2
Problem-Solving Investigation: Choose a Strategy
Plan
Make a table to show all of the possible rolls and their sums.
Lesson 2 Ex1

22. 12-2
Problem-Solving Investigation: Choose a Strategy
Solve
The table shows that to get a sum of 9, Carlota must have rolled 5 and 4 or 6 and 3.
6 + 3 = 9
5 + 4 = 9
Lesson 2 Ex1

23. Solve Find the difference. 6 – 3 = 3 5 – 4 = 1
12-2
Problem-Solving Investigation: Choose a Strategy
Solve
Find the difference.
6 – 3 = 3
5 – 4 = 1
Answer: Since = 9 and 6 – 3 = 3, Carlota must have rolled 6 and 3.
Lesson 2 Ex1

24. 12-2
Problem-Solving Investigation: Choose a Strategy
Check
Look back at the problem. Since = 9 and 6 – 3 = 3, you know that the answer is correct.
Lesson 2 Ex1

25. End of Lesson 2

26. Five-Minute Check (over Lesson 12-2) Main Idea and Vocabulary
12-3
Find Equivalent Fractions
Five-Minute Check (over Lesson 12-2)
Main Idea and Vocabulary
California Standards
Example 1: Find Equivalent Fractions
Equivalent Fractions
Lesson 3 Menu

27. I will find equivalent fractions.
12-3
Find Equivalent Fractions
I will find equivalent fractions.
equivalent fractions
Lesson 3 MI/Vocab

28. 12-3
Find Equivalent Fractions
Standard 3NS3.1 Compare fractions represented by drawings or concrete materials to show equivalency and to add and subtract simple fractions in context (e.g.,
of a pizza is the same amount as of another pizza that is the same size; show that is larger than ).
Lesson 3 Standard 1

29. Complete = to find equivalent fractions.
12-3
Find Equivalent Fractions
Complete = to find equivalent fractions. 3 4 8
Lesson 3 Ex1

30. One Way: Fraction Models
12-3
Find Equivalent Fractions
One Way: Fraction Models
Think about the number of equal parts in fraction models.
There are 6 eighths in . 3 4
Lesson 3 Ex1

31. 12-3
Find Equivalent Fractions
Another Way: Picture
The circle is divided into fourths. Three parts are shaded.
Lesson 3 Ex1

32. Another Way: Picture There are 6 eighths in . Answer: So, = . 12-3
Find Equivalent Fractions
Another Way: Picture
Another equal circle is divided into eighths. The same part is shaded.
There are 6 eighths in . 3 4
Answer: So, = . 3 4 6 8
Lesson 3 Ex1

33. Complete = to find equivalent fractions.
12-3
Find Equivalent Fractions
Complete = to find equivalent fractions. 1 2 6 2 3 4 5
Lesson 3 CYP1

34. End of Lesson 3

35. Five-Minute Check (over Lesson 12-3) Main Idea California Standards
12-4
Problem-Solving Strategy: Draw a Picture
Five-Minute Check (over Lesson 12-3)
Main Idea
California Standards
Example 1: Problem-Solving Strategy
Lesson 4 Menu

36. I will draw a picture to solve problems.
12-4
Problem-Solving Strategy: Draw a Picture
I will draw a picture to solve problems.
Lesson 4 MI/Vocab

37. 12-4
Problem-Solving Strategy: Draw a Picture
Standard 3MR1.1 Analyze problems by identifying relationships, distinguishing relevant from irrelevant information, sequencing and prioritizing information, and observing patterns.
Lesson 4 Standard 1

38. 12-4
Problem-Solving Strategy: Draw a Picture
Standard 3NS3.1 Compare fractions represented by drawings or concrete materials to show equivalency and to add and subtract simple fractions in context.
Lesson 4 Standard 2

39. 12-4
Problem-Solving Strategy: Draw a Picture
Ana and her brother have 8 insects in a jar. One-half of the insects are beetles. One is a firefly, and the rest are crickets. How many of the insects are crickets?
Lesson 4 Ex1

40. Understand What facts do you know? There are 8 insects.
12-4
Problem-Solving Strategy: Draw a Picture
Understand
What facts do you know?
There are 8 insects.
One is a firefly.
One-half are beetles.
The rest are crickets.
What do you need to find?
Find how many of the insects are crickets.
Lesson 4 Ex1

41. Plan You can draw a picture to solve the problem. 12-4
Problem-Solving Strategy: Draw a Picture
Plan
You can draw a picture to solve the problem.
Lesson 4 Ex1

42. 12-4
Problem-Solving Strategy: Draw a Picture
Solve
First draw a figure that is divided into 8 equal parts. This shows 8 insects.
To show the beetles, shade of the figure. Shade 1 part to show the firefly. 1 2
Lesson 4 Ex1

43. Solve There are 3 parts not shaded. This is the number of crickets.
12-4
Problem-Solving Strategy: Draw a Picture
Solve
There are 3 parts not shaded. This is the number of crickets.
Answer: So, 3 of the insects are crickets.
Lesson 4 Ex1

44. Check Look back at the problem.
12-4
Problem-Solving Strategy: Draw a Picture
Check
Look back at the problem.
4 beetles + 1 firefly + 3 crickets = 8 insects
There are 8 insects. So, the answer is correct.
Lesson 4 Ex1

45. End of Lesson 4

46. Five-Minute Check (over Lesson 12-4) Main Idea and Vocabulary
12-5
Compare Fractions
Five-Minute Check (over Lesson 12-4)
Main Idea and Vocabulary
California Standards
Example 1: Compare Fractions
Example 2: Compare Fractions
Lesson 5 Menu

47. I will compare fractions.
12-5
Compare Fractions
I will compare fractions.
is greater than (>)
is less than (<)
Lesson 5 MI/Vocab

48. 12-5
Compare Fractions
Standard 3NS3.1 Compare fractions represented by drawings or concrete materials to show equivalency and to add and subtract simple fractions in context (e.g.,
of a pizza is the same amount as of another pizza that is the same size; show that is larger than ).
Lesson 5 Standard 1

49. One Way: Fraction Models
12-5
Compare Fractions
Compare and . 2 5 4
One Way: Fraction Models
is less than . 2 5 4
Lesson 5 Ex1

50. Another Way: Number Line
12-5
Compare Fractions
Another Way: Number Line
is to the left of . 2 5 4
Answer: So, < or > . 2 5 4
Lesson 5 Ex1

51. Compare to . 4 7 6 A. 4 7 6 < B. 4 7 6 > C. 4 7 6 = 12-5
Compare Fractions
Compare to . 4 7 6 A. 4 7 6
< B. 4 7 6
> C. 4 7 6 =
Lesson 5 CYP1

52. 12-5
Compare Fractions
Bill’s family ate of an apple pie. Laureana’s family ate of an apple pie. Which family ate more? 1 3 2 4
You need to compare and . 1 3 2 4
Lesson 5 Ex2

53. One Way: Number Line is less than . 1 3 2 4 So, < or > . 1 3 2 4
12-5
Compare Fractions
One Way: Number Line
is less than . 1 3 2 4
So, < or > . 1 3 2 4
Lesson 5 Ex2

54. Another Way: Drawing is less than . 1 3 2 4 So, < or > . 1 3 2 4
12-5
Compare Fractions
Another Way: Drawing
is less than . 1 3 2 4
So, < or > . 1 3 2 4
Lesson 5 Ex2

55. Answer: So, Laureana’s family ate more of the pie because > .
12-5
Compare Fractions
Answer: So, Laureana’s family ate more of the pie because > . 2 4 1 3
Lesson 5 Ex2

56. 12-5
Compare Fractions 1 2
Monica and her sister had pizza for dinner. Monica ate of the pizza, while her sister ate of the pizza. Who ate more? 3
A. Monica
B. Monica’s sister
Lesson 5 CYP2

57. End of Lesson 5

58. Five-Minute Check (over Lesson 12-5) Main Idea and Vocabulary
12-6
Add Like Fractions
Five-Minute Check (over Lesson 12-5)
Main Idea and Vocabulary
California Standards
Key Concept: Add Like Fractions
Example 1: Add Like Fractions
Example 2: Add Like Fractions
Add Like Fractions
Lesson 6 Menu

59. Lesson 6 MI/Vocab/Standard 1
12-6
Add Like Fractions
I will add like fractions.
like fractions
Lesson 6 MI/Vocab/Standard 1

60. Lesson 6 MI/Vocab/Standard 2
12-6
Add Like Fractions
Standard 3NS3.2 Add and subtract simple fractions (e.g., determine that is the same as ).
Lesson 6 MI/Vocab/Standard 2

61. 12-6
Add Like Fractions
Lesson 6 Key Concept 1

62. 12-6
Add Like Fractions
Lynn painted of her wall green and of her wall blue. The rest she left white. What fraction of her wall has color? 1 3
Lesson 6 Ex1

63. 12-6
Add Like Fractions
One Way: Models 1 3 1 3 2 3 + =
Lesson 6 Ex1

64. Another Way: Paper and Pencil
12-6
Add Like Fractions
Another Way: Paper and Pencil 1 3 1 3 + =
Add the numerators. = 3 2 3
Use the same denominator.
Lesson 6 Ex1

65. Answer: So, of Lynn’s wall has color. 2 3
12-6
Add Like Fractions
Answer: So, of Lynn’s wall has color. 2 3
Lesson 6 Ex1

66. 12-6
Add Like Fractions
Nikki noticed that she only had tank of gas left in her car. She went to the gas station and filled her car with another tank of gas. How much gas is now in Nikki’s car? 1 4 2
A tank 1 2
C tank 3 4
B tank 2 4
D tank 1 4
Lesson 6 CYP1

67. 12-6
Add Like Fractions
From January to March, Sancha grew of an inch. From March to June, Sancha grew another of an inch. How much did she grow in all? 5 8 3
You need to find 5 8 3
Lesson 6 Ex2

68. Answer: So, Sancha grew a total of of an inch or 1 inch. 8
12-6
Add Like Fractions 5 8 3 8 + = = 8 3 8 5 8 8 + = 8
= 1 whole
Answer: So, Sancha grew a total of of an inch or 1 inch. 8
Lesson 6 Ex2

69. 12-6
Add Like Fractions
Bob ate of the sweet potato pie, and Sandy ate of the same sweet potato pie. How much of the pie did Bob and Sandy eat altogether? 2 5 3
A , or the whole pie 5
B pie 5 10
C pie 3 5
D pie 2 5
Lesson 6 CYP2

70. End of Lesson 6

71. Subtract Like Fractions
12-7
Subtract Like Fractions
Five-Minute Check (over Lesson 12-6)
Main Idea
California Standards
Key Concept: Subtract Like Fractions
Example 1: Subtract Like Fractions
Example 2: Subtract Like Fractions
Subtract Like Fractions
Lesson 7 Menu

72. I will subtract like fractions.
12-7
Subtract Like Fractions
I will subtract like fractions.
Lesson 7 MI/Vocab

73. 12-7
Subtract Like Fractions
Standard 3NS3.2 Add and subtract simple fractions (e.g., determine that is the same as ).
Lesson 7 Standard 1

74. 12-7
Subtract Like Fractions
Lesson 7 Key Concept 1

75. 12-7
Subtract Like Fractions
Laura found of a pizza in the refrigerator She ate How much pizza is left? 5 6 2
You need to find – . 5 6 2
Lesson 7 Ex1

76. 12-7
Subtract Like Fractions
One Way: Models
Lesson 7 Ex1

77. Another Way: Paper and Pencil
12-7
Subtract Like Fractions
Another Way: Paper and Pencil 5 6 2 6 – =
5 – 2
Subtract the numerators. = 6 3 6
Use the same denominator.
Lesson 7 Ex1

78. Answer: So, there is of the pizza left. 3 6
12-7
Subtract Like Fractions
Answer: So, there is of the pizza left. 3 6
Lesson 7 Ex1

79. 12-7
Subtract Like Fractions
Sarah had of an interesting book left to read. Today Sarah read of the book, how much more will she have to read to finish the book? 3 4 2
A of the book 1 3
C of the book 2 4
B of the book 3 4
D of the book 1 4
Lesson 7 CYP1

80. 12-7
Subtract Like Fractions
Maximo read an entire book over the weekend. On Saturday he read How much did he read on Sunday? 1 3
Find 1 – . 1 3
Lesson 7 Ex2

81. Answer: So, Maximo read of the book on Sunday. 2 3
12-7
Subtract Like Fractions
1 – 1 3 2 3 3 – 1 3 =
3 – 1 = 2 3 3
Answer: So, Maximo read of the book on Sunday. 2 3
Lesson 7 Ex2

82. 12-7
Subtract Like Fractions
Natalie was preparing a six-course meal for her family, of which she had completed. How much more of the meal does Natalie have to prepare? 2 6
A of the meal 2 6
C of the meal 5 6
B of the meal 4 6
D of the meal 3 6
Lesson 7 CYP2

83. End of Lesson 7

84. 12 Five-Minute Checks Math Tool Chest Image Bank Equivalent Fractions
Add Like Fractions
Subtract Like Fractions
CR Menu

85. 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

86. IB 1

87. IB 2

88. IB 3

89. IB 4

90. Lesson 12-1 (over Chapter 11) Lesson 12-2 (over Lesson 12-1)
Fractions 12
Lesson 12-1 (over Chapter 11)
Lesson 12-2 (over Lesson 12-1)
Lesson 12-3 (over Lesson 12-2)
Lesson 12-4 (over Lesson 12-3)
Lesson 12-5 (over Lesson 12-4)
Lesson 12-6 (over Lesson 12-5)
Lesson 12-7 (over Lesson 12-6)
5Min Menu

91. (over Chapter 11)
Each time Jason picked a marble from a bag, he recorded the color and replaced the marble. He picked 40 red, 4 blue, 2 yellow, and 4 green marbles. How many times did he pick a marble from the bag? 45 50 25 15
5Min 1-1

92. (over Chapter 11)
Each time Jason picked a marble from a bag, he recorded the color and replaced the marble. He picked 40 red, 4 blue, 2 yellow, and 4 green marbles. What color marble is most likely to be picked next?
red
yellow
green
blue
5Min 1-2

93. (over Chapter 11)
Each time Jason picked a marble from a bag, he recorded the color and replaced the marble. He picked 40 red, 4 blue, 2 yellow, and 4 green marbles. What two colors are equally likely to be picked?
blue and green
yellow and green
red and yellow
5Min 1-3

94. Draw a picture for . Shade the fraction. 1 2
(over Lesson 12-1)
Draw a picture for . Shade the fraction. 1 2 A. B. C. D.
5Min 2-1

95. Draw a picture for . Shade the fraction. 2 3
(over Lesson 12-1)
Draw a picture for . Shade the fraction. 2 3 A. B. C. D.
5Min 2-2

96. Draw a picture for . Shade the fraction. 1 5
(over Lesson 12-1)
Draw a picture for . Shade the fraction. 1 5 A. B. D. C.
5Min 2-3

97. Draw a picture for . Shade the fraction. 5 6
(over Lesson 12-1)
Draw a picture for . Shade the fraction. 5 6 A. B. C. D.
5Min 2-4

98. 2 sides are 18 feet and 2 sides are 21 feet.
(over Lesson 12-2)
Choose a strategy to solve the problem. Zach has a rectangular fence around his back yard. The perimeter of the fence is 78 feet. The length of one side of the fence is 18 feet. What are the lengths of the other sides?
2 sides are 18 feet and 2 sides are 21 feet.
2 sides are 14 feet and 2 sides are 24 feet.
2 sides are 11 feet and 2 sides are 20 feet.
5Min 3-1

99. Complete = to find equivalent fractions. 1 2 8
(over Lesson 12-3)
Complete = to find equivalent fractions. 1 2 8 2 6 4 8
5Min 4-1

100. Complete = to find equivalent fractions. 12
(over Lesson 12-3) 3 4
Complete = to find equivalent fractions. 12 4 9 3 10
5Min 4-2

101. Complete = to find equivalent fractions. 6 10 5
(over Lesson 12-3)
Complete = to find equivalent fractions. 6 10 5 3 10 15 4
5Min 4-3

102. Complete = to find equivalent fractions. 4 6 3
(over Lesson 12-3)
Complete = to find equivalent fractions. 4 6 3 6 8 10 2
5Min 4-4

103. (over Lesson 12-4)
Solve. Use the draw a picture strategy. There are four siblings: Bob, Arlo, Claudia and Diego. Claudia is taller than Arlo. Diego is taller than Claudia. Bob is the shortest. List the siblings in order from tallest to shortest.
Diego, Claudia, Arlo, Bob
Bob, Diego, Claudia, Arlo
Claudia, Diego, Arlo, Bob
Caludia, Arlo, Diego, Bob
5Min 5-1

104. (over Lesson 12-5)
Compare Write <, >, or =. Use fraction strips, a number line, or a drawing if needed. 1 4 2
<
> =
5Min 6-1

105. (over Lesson 12-5)
Compare Write <, >, or =. Use fraction strips, a number line, or a drawing if needed. 3 10 4
> =
<
5Min 6-2

106. (over Lesson 12-5)
Compare Write <, >, or =. Use fraction strips, a number line, or a drawing if needed. 4 8 1
>
< =
5Min 6-3

107. (over Lesson 12-5)
Compare Write <, >, or =. Use fraction strips, a number line, or a drawing if needed. 1 2 5 10
> =
<
5Min 6-4

108. Add. 3 12 4 + 12 A. B. 7 24 1 C. 12 D. 7 12 (over Lesson 12-6)
5Min 7-1

109. Add. 2 6 4 + 6 A. or 1 B. 2 6 6 C. 12 D. 5 12 (over Lesson 12-6)
5Min 7-2

110. (over Lesson 12-6)
Add. 2 8 5 + 13 8 A. B. 5 16 7 C. 8 D. 1 7
5Min 7-3

111. (over Lesson 12-6)
Add. 1 5 2 + 3 5 A. B. 6 10 2 C. 5 D. 1 5
5Min 7-4

112. This slide is intentionally blank.
End of Custom Shows