1. 5 Minute Check Complete on the back of your homework. Find the GCF for the following. 1. 10, 222. 9, 16 Find the LCM for the following. 3. 6, 154. 12, 15

2. 5 Minute Check Find the GCF for the following. 1. 10, 22

3. 5 Minute Check Find the GCF for the following. 1. 10, 22 10: 1, 2, 5, 10 22, 1, 2, 11, 22

4. 5 Minute Check Find the GCF for the following. 2. 9, 16

5. 5 Minute Check Find the GCF for the following. 2. 9, 16 9: 1, 3, 9 16: 1, 2, 4, 8, 16

6. 5 Minute Check Find the LCM for the following. 3. 6, 15

7. 5 Minute Check Find the LCM for the following. 3. 6, 15 6: 6, 12, 18, 24, 30, 36…… 15: 15, 30, 45……..

8. 5 Minute Check Find the LCM for the following. 4. 12, 15

9. 5 Minute Check Find the LCM for the following. 4. 12, 15 12: 12, 24, 36, 48, 60, 72, 84….. 15: 15, 30, 45, 60, 75,…….

10. Flashcards

11. Friday, Aug 28 Lesson 1.2 Ratios

12. Objective: To express ratios and rates as fractions.

13. Ratios A ratio is a comparison of two quantities (numbers) by division and generally does not contain units.

14. Ratios

15. A ratio of 2 paper clips to 6 paper clips can be written 3 different ways. 2 to 6 2:6 2 6 As with fractions, ratios are often expressed in simplest form. Write these in your notes

16. Ratios A ratio of 2 paper clips to 6 paper clips can be written 3 different ways. 2 to 6 2:6 2 6 When determining ratios, the order of objects in the question is the same order as the ratio. Write these in your notes

17. Ratios What is the ratio of boys to girls in this class?

18. Ratios What is the ratio of boys to girls in this class? Is this the same ratio as girls to boys?

19. Ratios

34. Write the ratio in simplest form that compares the numbers of black dots to the number of white dots. Then explain the meaning. (Draw this in your notes)

35. Ratios Write the ratio in simplest form that compares the numbers of black dots to the number of white dots. Then explain the meaning. (Draw this in your notes) Which object appear first in the question?

36. Ratios Write the ratio in simplest form that compares the numbers of black dots to the number of white dots. Then explain the meaning. (Draw this in your notes) black dots = 3 Which object appear next in the question?

37. Ratios Write the ratio in simplest form that compares the numbers of black dots to the number of white dots. Then explain the meaning. (Draw this in your notes) black dots = 3 white dots = 6

38. Ratios Write the ratio in simplest form that compares the numbers of black dots to the number of white dots. Then explain the meaning. (Draw this in your notes) black dots = 3 white dots = 6 How do we express this as a fraction?

39. Ratios Write the ratio in simplest form that compares the numbers of black dots to the number of white dots. Then explain the meaning. (Draw this in your notes) black dots = 3 white dots = 6 Can this fraction be simplified?

40. Ratios Write the ratio in simplest form that compares the numbers of black dots to the number of white dots. Then explain the meaning. (Draw this in your notes) black dots = 3 white dots = 6 Can you think of a number that goes into 3 and 6 without a remainder (the GCF)?

41. Ratios Write the ratio in simplest form that compares the numbers of black dots to the number of white dots. Then explain the meaning. (Draw this in your notes) black dots = 3 ÷ 3 white dots = 6 ÷ 3

42. Ratios Write the ratio in simplest form that compares the numbers of black dots to the number of white dots. Then explain the meaning. (Draw this in your notes) black dots = 3 ÷ 3 1 white dots = 6 ÷ 3 = 2

43. Ratios Write the ratio in simplest form that compares the numbers of black dots to the number of white dots. Then explain the meaning. (Draw this in your notes) black dots = 3 ÷ 3 1 white dots = 6 ÷ 3 = 2 What does this mean?

44. Ratios Write the ratio in simplest form that compares the numbers of black dots to the number of white dots. Then explain the meaning. (Draw this in your notes) black dots = 3 ÷ 3 1 white dots = 6 ÷ 3 = 2 There is 1 black dot for every 2 white dots.

45. Ratios Write the ratio in simplest form that compares the numbers of red dots to the number of yellow dots. Then explain the meaning. Do this on your own

46. Ratios Write the ratio in simplest form that compares the numbers of red dots to the number of yellow dots. Then explain the meaning. red dots4 ÷ 2 2 yellow dots6 ÷ 2 = 3 What does this mean?

47. Ratios Write the ratio in simplest form that compares the numbers of red dots to the number of yellow dots. Then explain the meaning. red dots4 ÷ 2 2 yellow dots6 ÷ 2 = 3 This means there are 2 red dots for every 3 yellow dots.

48. Ratios Several students named their favorite flavor of gum. Write the ratio that compares the number of who chose fruit to the total number of students. (Do this on your own)

49. Ratios Several students named their favorite flavor of gum. Write the ratio that compares the number of who chose fruit to the total number of students. Fruit 3 ÷ 3 1 Total 21 ÷ 3 = 7 What does this mean?

50. Ratios Several students named their favorite flavor of gum. Write the ratio that compares the number of who chose fruit to the total number of students. Fruit 3 ÷ 3 1 Total 21 ÷ 3 = 7 What does this mean? 1 out of every 7 students chose fruit gum.

51. Ratios Find the ratio of pennies to dimes in the graphic at the right. Write the ratio as a fraction in simplest form. Then explain its meaning. (Do this on your own.)

52. Ratios Find the ratio of pennies to dimes in the graphic at the right. Write the ratio as a fraction in simplest form. Then explain its meaning. Pennies 3 ÷ 3 1 Dimes 9 ÷ 3 = 3 What does this mean?

53. Ratios Find the ratio of pennies to dimes in the graphic at the right. Write the ratio as a fraction in simplest form. Then explain its meaning. Pennies 3 ÷ 3 1 Dimes 9 ÷ 3 = 3 What does this mean? For every 1 penny there are 3 dimes

54. Ratios Monday’s yogurt sales are recorded on the table. Write the ratio that compares the sales of strawberry yogurt to the total sales. Then explain the meaning. (Do this on your own.)

55. Ratios Monday’s yogurt sales are recorded on the table. Write the ratio that compares the sales of strawberry yogurt to the total sales. Then explain the meaning. Strawberry 8 ÷ 8 1 Total 24 ÷ 8 = 3 What does this mean?

56. Ratios Monday’s yogurt sales are recorded on the table. Write the ratio that compares the sales of strawberry yogurt to the total sales. Then explain the meaning. Strawberry 8 ÷ 8 1 Total 24 ÷ 8 = 3 What does this mean? 1 out of every 3students chose strawberry yogurt.

57. Ratios Maria is collecting books. She wants to make packages that have 3 fiction books and 4 nonfiction books. She already has 9 fiction books. How many nonfiction books does she need? How can we solve this?

58. Ratios Maria is collecting books. She wants to make packages that have 3 fiction books and 4 nonfiction books. She already has 9 fiction books. How many nonfiction books does she need? How can we solve this? We can make a table.

59. Ratios Maria is collecting books. She wants to make packages that have 3 fiction books and 4 nonfiction books. She already has 9 fiction books. How many nonfiction books does she need? First we start with the known ratio. Fiction Nonfiction 3 4

60. Ratios Maria is collecting books. She wants to make packages that have 3 fiction books and 4 nonfiction books. She already has 9 fiction books. How many nonfiction books does she need? If she had 8 nonfiction, how many fiction? Fiction Nonfiction 3 48

61. Ratios Maria is collecting books. She wants to make packages that have 3 fiction books and 4 nonfiction books. She already has 9 fiction books. How many nonfiction books does she need? If she had 8 nonfiction, how many fiction? Fiction Nonfiction 3 48

62. Ratios Maria is collecting books. She wants to make packages that have 3 fiction books and 4 nonfiction books. She already has 9 fiction books. How many nonfiction books does she need? Fiction Nonfiction If she had 9 fiction, how many nonfiction? 369 48

63. Ratios Maria is collecting books. She wants to make packages that have 3 fiction books and 4 nonfiction books. She already has 9 fiction books. How many nonfiction books does she need? Fiction Nonfiction If she had 9 fiction, how many nonfiction? 369 48

64. Ratios Maria is collecting books. She wants to make packages that have 3 fiction books and 4 nonfiction books. She already has 9 fiction books. How many nonfiction books does she need? Fiction Nonfiction She will need 12 nonfiction books. 369 4812

65. Ratios You have 32 pennies and want to divide them into two groups (A to B) with a ratio of 3 to 5. How many pennies are in group A and how many pennies are in group B? What do we do?

66. Ratios You have 32 pennies and want to divide them into two groups (A to B) with a ratio of 3 to 5. How many pennies are in group A and how many pennies are in group B? If these were the group, how many total coins? Group A Group B 3 5

67. Ratios You have 32 pennies and want to divide them into two groups (A to B) with a ratio of 3 to 5. How many pennies are in group A and how many pennies are in group B? If these were the group, how many total coins? Group A Group B 8 3 5

68. Ratios You have 32 pennies and want to divide them into two groups (A to B) with a ratio of 3 to 5. How many pennies are in group A and how many pennies are in group B? We can fill in the rest of the chart by skip counting. Group A Group B 8 3 5

69. Ratios You have 32 pennies and want to divide them into two groups (A to B) with a ratio of 3 to 5. How many pennies are in group A and how many pennies are in group B? We can fill in the rest of the chart by skip counting. Group A Group B 8 369121518 5

70. Ratios You have 32 pennies and want to divide them into two groups (A to B) with a ratio of 3 to 5. How many pennies are in group A and how many pennies are in group B? We can fill in the rest of the chart by skip counting. Group A Group B 8 369121518 51015202530

71. Ratios You have 32 pennies and want to divide them into two groups (A to B) with a ratio of 3 to 5. How many pennies are in group A and how many pennies are in group B? Since we need a total of 32 pennies, we add the column. Group A Group B 8 369121518 51015202530

72. Ratios You have 32 pennies and want to divide them into two groups (A to B) with a ratio of 3 to 5. How many pennies are in group A and how many pennies are in group B? Since we need a total of 32 pennies, we add the column. Group A Group B 8 16 369121518 51015202530

73. Ratios You have 32 pennies and want to divide them into two groups (A to B) with a ratio of 3 to 5. How many pennies are in group A and how many pennies are in group B? Since we need a total of 32 pennies, we add the column. Group A Group B 8 16 24 369121518 51015202530

74. Ratios You have 32 pennies and want to divide them into two groups (A to B) with a ratio of 3 to 5. How many pennies are in group A and how many pennies are in group B? Since we need a total of 32 pennies, we add the column. Group A Group B 8 16 24 32 369121518 51015202530

75. Ratios You have 32 pennies and want to divide them into two groups (A to B) with a ratio of 3 to 5. How many pennies are in group A and how many pennies are in group B? Group A will have 12 pennies and group B will have 20 pennies. Group A Group B 8 16 24 32 369121518 51015202530

76. Ratios Create three different drawings showing a number of circles and triangles in which the ratio of circles to triangles is 2:3.

77. Ratios Create three different drawings showing a number of circles and triangles in which the ratio of circles to triangles is 2:3.

78. Ratios Find the next number in the following pattern. Explain your reasoning. 12, 24, 72, 288, ?

79. Ratios Find the next number in the following pattern. Explain your reasoning. 12, 24, 72, 288, 1440 x2 x3 x4 x5

80. Ratios If you hand an assignment without a first and last name, the grade will not be recorded in ProgressBook.

81. Ratios Agenda Notes Homework – Homework Practice 1.2 Due at the end of class. Circle your answers. Mid-Chapter Quiz- Thursday, Sept 3