1. Splash Screen Chapter 5 Adding and Subtracting Fractions Click the mouse or press the space bar to continue. Chapter 5 Adding and Subtracting Fractions Click the mouse or press the space bar to continue.

2. Lesson 3 Menu Five-Minute Check (over Lesson 5-2) Main Idea and Vocabulary California Standards Key Concept: Add Like Fractions Key Concept: Subtract Like Fractions Example 1 Example 2 Example 3 5-3 Adding and Subtracting Fractions with Like Denominators Adding and Subtracting Fractions with Like Denominators

3. 5-3 Adding and Subtracting Fractions with Like Denominators Lesson 3 MI/Vocab I will add and subtract fractions with like denominators. like fractions

4. 5-3 Adding and Subtracting Fractions with Like Denominators Lesson 3 Standard 1 Standard 5NS2.3 Solve simple problems, including ones arising in concrete situations, involving the addition and subtraction of fractions and mixed numbers (like and unlike denominators of 20 or less), and express answers in the simplest form.

5. Lesson 3 Key Concept 5-3 Adding and Subtracting Fractions with Like Denominators

6. Lesson 3 Key Concept 5-3 Adding and Subtracting Fractions with Like Denominators

7. Lesson 3 Ex1 5-3 Adding and Subtracting Fractions with Like Denominators Find the sum of +. 7 9 3 9 7 9 3 9 Estimate 1 + = 1

8. Lesson 3 Ex1 5-3 Adding and Subtracting Fractions with Like Denominators 7 9 + 3 9 = 7 + 3 9 Add the numerators. = 10 9 = 1 9 1 Simplify. Write as a mixed number. Check for Reasonableness Compare 1 to the estimate. 1 is about 1. 1 9 1 9 1 2

9. Lesson 3 CYP1 5-3 Adding and Subtracting Fractions with Like Denominators A.1 D.1 Find the sum of +. 2 3 1 3 3 6

10. Lesson 3 Ex2 5-3 Adding and Subtracting Fractions with Like Denominators Find –. Write in simplest form. 12 15 2 12 15 – 2 = 12 – 2 15 Subtract the numerators. 10 15 2 3 = or Simplify.

11. Lesson 3 CYP2 5-3 Adding and Subtracting Fractions with Like Denominators D. 3 9 Find –. Write in simplest form. 6 9 3 9

12. Lesson 3 Ex3 5-3 Adding and Subtracting Fractions with Like Denominators 13 18 – 7 = 13 – 7 18 Subtract the numerators. 6 18 1 3 = or Simplify. During track practice, Casey ran of a mile, and Ruben ran of a mile. How much farther did Casey run than Ruben? 13 18 7 Answer: Casey ran of a mile further than Ruben. 1 3

13. Lesson 3 CYP2 5-3 Adding and Subtracting Fractions with Like Denominators D.1 yard Joy’s hair is of a yard long. Janelle’s is of a yard long. How much longer is Joy’s hair than Janelle’s? 15 16 7 A. yard 8 16 B. yard 1 2 C. yard 22 32

14. Lesson 5 Menu Five-Minute Check (over Lesson 5-4) Main Idea and Vocabulary California Standards Key Concept: Add or Subtract Unlike Fractions Example 1 Example 2 Example 3 Example 4 5-5 Adding and Subtracting Fractions with Unlike Denominators Common Denominators

15. 5-5 Adding and Subtracting Fractions with Unlike Denominators Lesson 5 MI/Vocab I will add and subtract fractions with unlike denominators. unlike fractions

16. 5-5 Adding and Subtracting Fractions with Unlike Denominators Lesson 5 Standard 1 Standard 5NS2.3 Solve simple problems, including ones arising in concrete situations, involving the addition and subtraction of fractions and mixed numbers (like and unlike denominators of 20 or less), and express answers in the simplest form.

17. Lesson 5 Key Concept 5-5 Adding and Subtracting Fractions with Unlike Denominators

18. Lesson 5 Ex1 5-5 Adding and Subtracting Fractions with Unlike Denominators Find +. 4 7 1 2

19. Lesson 5 Ex1 5-5 Adding and Subtracting Fractions with Unlike Denominators One Way: Use a model. 4 7 1 2 1 14 += 1

20. Lesson 5 Ex1 5-5 Adding and Subtracting Fractions with Unlike Denominators Write the problem. Rename using the LCD, 14. Add the fractions. The least common denominator of and is 14. 1 2 4 7 + 1 × 7 2 × 7 4 × 2 7 × 2 + = = 7 14 8 + 7 8 + 15 14 Another Way: Use the LCD.

21. Lesson 5 CYP1 5-5 Adding and Subtracting Fractions with Unlike Denominators Find +. 6 10 3 8 39 40 9 18 78 80 D. 18 80

22. Lesson 5 Ex2 5-5 Adding and Subtracting Fractions with Unlike Denominators Find –. 2 3 2 5

23. Lesson 5 Ex2 5-5 Adding and Subtracting Fractions with Unlike Denominators One Way: Use a model. 2 3 2 5 4 15 –=

24. Lesson 5 Ex2 5-5 Adding and Subtracting Fractions with Unlike Denominators Another Way: Use the LCD. Write the problem. Rename using the LCD, 15. Subtract the fractions. 2 3 2 5 – 2 × 5 3 × 5 2 × 3 5 × 3 – = = 10 15 6 – 10 6 15 – 4 The least common denominator of and is 15. 2 3 2 5

25. Lesson 5 CYP2 5-5 Adding and Subtracting Fractions with Unlike Denominators Find –. Write in simplest form. 3 4 1 2 2 2 1 2 1 4 D. 2 8

26. Lesson 5 Ex3 Use the table to find the fraction of adopted dogs in one town that are either golden retrievers or mixed breed. 5-5 Adding and Subtracting Fractions with Unlike Denominators

27. Lesson 5 Ex3 5-5 Adding and Subtracting Fractions with Unlike Denominators Find +. 1 10 7 30 The least common denominator of and is 30. 1 10 7 30 Write the problem. Rename using the LCD, 30. Add the fractions. 1 10 7 30 + 1 × 3 10 × 3 7 × 1 30 × 1 + = = 3 30 7 + 3 7 + 10 30

28. Lesson 5 Ex3 5-5 Adding and Subtracting Fractions with Unlike Denominators Answer: So, of the total adopted dog breeds are golden retriever or mixed breed. 1 3

29. Lesson 5 CYP3 5-5 Adding and Subtracting Fractions with Unlike Denominators D.10 pounds B.9 pounds José and his brother each had a jar of marbles. José’s jar weighs 3 pounds. His brother’s is 5 pounds. How much do their jars weigh altogether? C.8 poundsA.8 pounds

30. Lesson 5 Ex4 5-5 Adding and Subtracting Fractions with Unlike Denominators The least common denominator of and is 12. a – c = 3 4 1 3 – = 3 × 3 4 × 3 1 × 4 3 × 4 – = 9 12 4 – Simplify. = 5 12 Subtract the numerators. ALGEBRA Evaluate a – c if a = and c =. 1 3 Replace a with and c with. 1 3 3 4 Rename and using the LCD, 12. 1 3 3 4

31. Lesson 5 CYP4 5-5 Adding and Subtracting Fractions with Unlike Denominators ALGEBRA Evaluate d – f if d = and f =. 3 8 2 3 7 24 1 4 1 3 4 16

32. Lesson 7 Menu Five-Minute Check (over Lesson 5-6) Main Idea California Standards Key Concept: Add and Subtract Mixed Numbers Example 1 Example 2 Example 3 Example 4 Example 5 5-7 Adding and Subtracting Mixed Numbers

33. 5-7 Adding and Subtracting Mixed Numbers Lesson 7 MI/Vocab I will add and subtract mixed numbers.

34. 5-7 Adding and Subtracting Mixed Numbers Lesson 7 Standard 1 Standard 5NS2.3 Solve simple problems, including ones arising in concrete situations, involving the addition and subtraction of fractions and mixed numbers (like and unlike denominators of 20 or less), and express answers in the simplest form.

35. Lesson 7 Key Concept 5-7 Adding and Subtracting Mixed Numbers

36. Lesson 7 Ex1 5-7 Adding and Subtracting Mixed Numbers Estimate 6 – 3 = 3 Subtract the fractions. Subtract the whole numbers. 5 11 12 – 2 9 5 11 12 –2 9 2 3 2 Find 5 – 2. 11 12 9

37. Lesson 7 Ex1 5-7 Adding and Subtracting Mixed Numbers Answer: So, the answer is 3. 1 6

38. Lesson 7 CYP1 5-7 Adding and Subtracting Mixed Numbers Find 4 – 2. 6 8 3 8 A.2 2 8 B.2 3 0 C.2 3 8 3 8

39. Lesson 7 Ex2 5-7 Adding and Subtracting Mixed Numbers Write the problem. Rename the fractions using the LCD, 15. Add the fractions. Then add the whole numbers. 3 4 1 + 5 3 2 3 × 5 1 × 5 5 × 3 2 × 3 15 5 + 6 + 11 4 15 5 3 6 7 11 Find 4 + 3. 1 3 2 5 The LCD of and is 15. 1 3 2 5

40. Lesson 7 CYP2 5-7 Adding and Subtracting Mixed Numbers B.6 C.7 A.6 Find 5 + 1. 3 4 1 8 D.6 6 8

41. Lesson 7 Ex3 First, use the LCD to rename the fractions. Then add. 5-7 Adding and Subtracting Mixed Numbers Answer: So, Jorge jogged 9 miles altogether. 11 12 Jorge jogged 4 miles on Saturday. He jogged 5 miles on Monday. How many miles did he jog altogether? 1 6 3 4 4 + 5 = 4 + 5 9 12 = 9 11 12

42. Lesson 7 CYP3 5-7 Adding and Subtracting Mixed Numbers D.7 C.1 Emanuel has 3 inches of ribbon. Lolita has 4 inches. How much ribbon do they have altogether? 2 21 3 7 A.4 11 21 B.7 11 21

43. Lesson 7 Ex4 e – f 5-7 Adding and Subtracting Mixed Numbers = 9 7 12 – 3 1 4 = 9 7 – 3 3 = 6 4 = 6 1 3 ALGEBRA Evaluate e – f if e = and f =. 9 7 12 3 1 4 Replace e with and f with. 7 12 9 1 4 3 Rename. Subtract. Simplify.

44. Lesson 7 CYP4 5-7 Adding and Subtracting Mixed Numbers ALGEBRA Evaluate c – d if c = 3 and d = 1. 3 5 1 6 B.2 3 30 A.2 3 6 C.2 13 30 D.2 26 30

45. Lesson 7 Ex5 5-7 Adding and Subtracting Mixed Numbers g + h= 2 5 9 + 4 1 2 = 2 10 18 + 4 9 = 6 19 18 = 6 Rename. Add. Write as a mixed number. 19 18 ALGEBRA Evaluate g + h if g = and h =. 2 5 9 4 1 2 Replace g with and h with. 2 5 9 4 1 2 + 1 18 1 or 7 1 18

46. Lesson 7 CYP5 5-7 Adding and Subtracting Mixed Numbers B.7 D.8 ALGEBRA Evaluate a + b if a = and b =. 3 7 8 4 3 8 A.7 10 8 C.7 2 8

47. Lesson 8 Menu Five-Minute Check (over Lesson 5-7) Main Idea California Standards Example 1 Example 2 Example 3 5-8 Subtracting Mixed Numbers with Renaming

48. 5-8 Subtracting Mixed Numbers with Renaming Lesson 8 MI/Vocab I will subtract mixed numbers involving renaming.

49. 5-8 Subtracting Mixed Numbers with Renaming Lesson 8 Standard 1 Standard 5NS2.3 Solve simple problems, including ones arising in concrete situations, involving the addition and subtraction of fractions and mixed numbers (like and unlike denominators of 20 or less), and express answers in the simplest form.

50. Lesson 8 Ex1 5-8 Subtracting Mixed Numbers with Renaming Find –. 4 3 8 2 5 8 4 = 3 11 8 3 8

51. Lesson 8 Ex1 5-8 Subtracting Mixed Numbers with Renaming 4 3 8 2 5 8 – 3 11 8 2 5 8 – Rename as. 4 3 8 3 11 8 Subtract. 1 6 8

52. Lesson 8 CYP1 5-8 Subtracting Mixed Numbers with Renaming B.2 C.2 D.2 Find 6 – 3. A.3

53. Lesson 8 Ex2 5-8 Subtracting Mixed Numbers with Renaming 18 1 5 10 9 – 18 2 10 – Find –. 18 1 5 10 9 Step 1 10 9

54. 18 2 10 Lesson 8 Ex2 5-8 Subtracting Mixed Numbers with Renaming 10 9 – 17 12 10 – Step 2 10 9 7 3

55. Lesson 8 CYP2 5-8 Subtracting Mixed Numbers with Renaming B.5 C.4 A.4 D.4 6 8 Find 15 – 10. 3 8 1 4

56. Lesson 8 Ex3 5-8 Subtracting Mixed Numbers with Renaming 18 3 4 – 2 7 8 A new bag of flour contains 18 cups of flour. If a baker uses cups for a bread recipe, how much flour is left? 2 7 8 18 6 8 – 2 7 8 17 14 8 – 2 7 8 15 7 8

57. Lesson 8 CYP3 5-8 Subtracting Mixed Numbers with Renaming A new bag of sugar contains 17 cups of sugar. If a chef uses 3 in a pie, how much sugar is left? 2 3 8 9 A.16 15 9 B.14 7 9 C.13 7 9 D.13 15 9

58. 5 5 Adding and Subtracting Fractions CR Menu Five-Minute Checks Adding and Subtracting Fractions with Like Denominators Common Denominators

59. 5 5 Adding and Subtracting Fractions 5Min 1-2 (over Chapter 4) Graph the point on a coordinate plane. (0, 2) A. A B. B C. C D. D

60. 5 5 Adding and Subtracting Fractions 5Min 1-3 (over Chapter 4) Graph the point on a coordinate plane. (1, 3) 1 2 A. A B. B C. C D. D

61. 5 5 Adding and Subtracting Fractions 5Min 1-4 (over Chapter 4) Graph the point on a coordinate plane. (4, 3 ) 1 2 A. A B. B C. C D. D

62. 5 5 Adding and Subtracting Fractions D. 1 1 4 5Min 4-1 (over Lesson 5-3) A. 10 8 B. 1 2 C. 1 2 8 Write + in simplest form. 7 8 3 8

63. 5 5 Adding and Subtracting Fractions B. 1 1 5 5Min 4-2 (over Lesson 5-3) Write + in simplest form. 3 5 3 5 A. 6 10 C. 6 5 D. 1 1 2

64. 5 5 Adding and Subtracting Fractions A. 4 13 5Min 4-3 (over Lesson 5-3) D. 4 B. 1 5 13 C. 1 4 13 Write – in simplest form. 11 13 7

65. 5 5 Adding and Subtracting Fractions C. 1 2 5Min 4-4 (over Lesson 5-3) A. 8 16 D. 4 8 Write – in simplest form. 15 16 7 B. 1 6 16

66. 5 5 Adding and Subtracting Fractions C. 7 8 5Min 6-1 (over Lesson 5-5) Write + in simplest form. 5 8 1 4 A. 14 16 B. 6 8 D. 6 12

67. 5 5 Adding and Subtracting Fractions B. 1 2 5Min 6-2 (over Lesson 5-5) Write + in simplest form. 1 6 1 3 C. 1 3 A. 2 9 D. 3 6

68. 5 5 Adding and Subtracting Fractions D. 1 15 5Min 6-3 (over Lesson 5-5) A. 21 15 C. 3 4 Write – in simplest form. 2 3 11 15 B. 9 15

69. 5 5 Adding and Subtracting Fractions A. 3 16 5Min 6-4 (over Lesson 5-5) B. 1 2 C. 4 5 Write – in simplest form. 1 4 7 16 D. 1 4

70. 5 5 Adding and Subtracting Fractions C. 9 3 4 5Min 8-1 (over Lesson 5-7) A. 78 8 B. 9 6 8 Write 7 + 2 in simplest form. 1 8 5 8 D. 9 3 8

71. 5 5 Adding and Subtracting Fractions D. 8 9 10 5Min 8-2 (over Lesson 5-7) A. 8 7 10 B. 8 3 7 Write 5 + 3 in simplest form. 2 5 1 2 C. 8 3 5

72. 5 5 Adding and Subtracting Fractions B. 7 2 7 5Min 8-3 (over Lesson 5-7) C. 51 7 Write 9 – 2 in simplest form. 5 7 3 7 D. 2 7 A. 12 1 7

73. 5 5 Adding and Subtracting Fractions C. 2 7 12 5Min 8-4 (over Lesson 5-7) A. 4 B. 31 12 D. 2 4 2 Write 4 – 2 in simplest form. 5 6 1 4

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