1. 5 Minute Check Find the unit rate. Complete in your notes.
miles in 2 hours.
songs in 5 minutes
baskets in 6 minutes
miles in 30 minutes

2. 5 Minute Check Find the unit rate. Complete in your notes.
miles in 2 hours.
songs in 5 minutes
baskets in 6 minutes
miles in 30 minutes

3. 5 Minute Check Find the unit rate. Complete in your notes.
miles in 2 hours.

4. 5 Minute Check 34 miles 2 hours ÷ 2 2 = 17 miles 1 hour
Find the unit rate. Complete in your notes.
miles in 2 hours.
34 miles 2 hours ÷ = 17 miles 1 hour

5. 5 Minute Check Find the unit rate. Complete in your notes.
songs in 5 minutes

6. 5 Minute Check 35 songs 5 minutes ÷ 5 5 = 7 songs 1 minute
Find the unit rate. Complete in your notes.
songs in 5 minutes
35 songs 5 minutes ÷ = 7 songs 1 minute

7. 5 Minute Check Find the unit rate. Complete in your notes.
baskets in 6 minutes

8. 5 Minute Check
Find the unit rate. Complete in your notes.
baskets in 6 minutes
45 baskets 6 minutes ÷ = 45÷6 1 minute = baskets 1 minute

9. 5 Minute Check Find the unit rate. Complete in your notes.
miles in 30 minutes

10. 5 Minute Check
Find the unit rate. Complete in your notes.
miles in 30 minutes
18 miles 30 minutes ÷ = 18÷30 1 minute = miles 1 minute

11. OST Test Prep
Makayla wants to buy a carton of juice. She could buy a 48 ounce container for $2.88 or a 64 ounce container for $ What is the cost per ounce of the juice in the 48 ounce container? 2. What is the cost per ounce of the juice in the 64 ounce container? 3. Which container is the better buy? Justify your response.

12. OST Test Prep
Makayla wants to buy a carton of juice. She could buy a 48 ounce container for $2.88 or a 64 ounce container for $ What is the cost per ounce of the juice in the 48 ounce container?

13. OST Test Prep $2.88 48 𝑜𝑢𝑛𝑐𝑒 ÷ 48 48 = $0.06 1 𝑜𝑢𝑛𝑐𝑒
Makayla wants to buy a carton of juice. She could buy a 48 ounce container for $2.88 or a 64 ounce container for $3.52.
1. What is the cost per ounce of the juice in the 48 ounce container?
$ 𝑜𝑢𝑛𝑐𝑒 ÷ = $ 𝑜𝑢𝑛𝑐𝑒

14. OST Test Prep
Makayla wants to buy a carton of juice. She could buy a 48 ounce container for $2.88 or a 64 ounce container for $ What is the cost per ounce of the juice in the 64 ounce container?

15. OST Test Prep $3.52 64 𝑜𝑢𝑛𝑐𝑒 ÷ 64 64 = $0.055 1 𝑜𝑢𝑛𝑐𝑒
Makayla wants to buy a carton of juice. She could buy a 48 ounce container for $2.88 or a 64 ounce container for $3.52.
2. What is the cost per ounce of the juice in the 64 ounce container?
$ 𝑜𝑢𝑛𝑐𝑒 ÷ = $ 𝑜𝑢𝑛𝑐𝑒

16. OST Test Prep
Makayla wants to buy a carton of juice. She could buy a 48 ounce container for $2.88 or a 64 ounce container for $ Which container is the better buy? Justify your response.

17. OST Test Prep
Makayla wants to buy a carton of juice. She could buy a 48 ounce container for $2.88 or a 64 ounce container for $ Which container is the better buy? Justify your response. 64 ounces for $3.52 is the better buy because it costs less per ounce. $0.055 per ounce vs. $0.06 per ounce

18. How many cookies will fit?

19. How many cookies will fit?
Questions to be answered:
What do we know?
What is a prediction that
is too low?
is too high?
Can we make an accurate prediction or is there additional information that is needed to make a prediction?

20. How many cookies will fit?

21. How many cookies will fit?

22. How many cookies will fit?

23. How many cookies will fit?

24. Tuesday, Dec 13
Review Ratio Tables, Measurement Conversion and Equivalent Ratios (CH 1 – Lessons 4, 5 and 6 CH 4 – Lesson 5)

25. Ratio Tables, Measurement Conversion and Equivalent Ratios
Ratios are equivalent if they simplify to the same ratio.
2 6 and both simplify to , so they are equivalent.
Ratio tables use equivalent ratios just like proportions.

26. Ratio Tables, Measurement Conversion and Equivalent Ratios
To make yellow icing, you mix 6 drops of yellow food coloring with 1 cup of white icing. How much yellow food coloring should you mix with 5 cups of white icing to get the same shade? ?

27. Ratio Tables, Measurement Conversion and Equivalent Ratios
To make yellow icing, you mix 6 drops of yellow food coloring with 1 cup of white icing. How much yellow food coloring should you mix with 5 cups of white icing to get the same shade? We would need 30 drops of yellow.

28. Ratio Tables, Measurement Conversion and Equivalent Ratios
Cans of corn are on sale at 10 for $4. Find the cost of 15 cans. ?

29. Ratio Tables, Measurement Conversion and Equivalent Ratios
Cans of corn are on sale at 10 for $4. Find the cost of 15 cans.

30. Ratio Tables, Measurement Conversion and Equivalent Ratios
Cans of corn are on sale at 10 for $4. Find the cost of 15 cans. ?

31. Ratio Tables, Measurement Conversion and Equivalent Ratios
Cans of corn are on sale at 10 for $4. Find the cost of 15 cans. ?

32. Ratio Tables
Generally, when completing a ratio table we use scaling. Scaling means multiplying or dividing all the numbers in the ratio by the same number. Simplifying is a form of scaling that uses division.

33. Ratio Tables, Measurement Conversion and Equivalent Ratios
The ratio table shows how much you earn at your job. How many hours would you need to work to earn $176?
Hours 5 8 15
Earnings
$40
$64
$120
$176

34. Ratio Tables, Measurement Conversion and Equivalent Ratios
The ratio table shows how much you earn at your job. How many hours would you need to work to earn $176?
Hours 5 8 15
Earnings
$40
$64
$120
$176

35. Ratio Tables, Measurement Conversion and Equivalent Ratios
The ratio table shows how much you earn at your job. How many hours would you need to work to earn $176?
Hours 5 8 15
Earnings
$40
$64
$120
$176

36. Ratio Tables, Measurement Conversion and Equivalent Ratios
The ratio table shows how much you earn at your job. How many hours would you need to work to earn $176?
$40 5 hours ÷ = $8 1 ℎ𝑜𝑢𝑟
$176 ÷ $8 = 22 hours
Hours 5 8 15
Earnings
$40
$64
$120
$176
If the numbers are friendly, you can convert to a unit rate!

37. Factors, Multiples, Ratios and Rates
The ratio of tulips and roses in Katie’s garden is 2 to 3. If she has 12 tulips, how many roses are there?

38. Factors, Multiples, Ratios and Rates
The ratio of tulips and roses in Katie’s garden is 2 to 3. If she has 12 tulips, how many roses are there?
Tulips 2 12
Roses 3

39. Factors, Multiples, Ratios and Rates
The ratio of tulips and roses in Katie’s garden is 2 to 3. If she has 12 tulips, how many roses are there?
x 6
Tulips 2 12
Roses 3 18
x 6

40. Factors, Multiples, Ratios and Rates
The ratio of tulips and roses in Katie’s garden is 2 to 3. If she has 12 tulips, how many roses are there? 2 tulips 3 roses = 12 tulips ? roses 3 x 12 = 36 ÷ 2 = 18 roses

41. Factors, Multiples, Ratios and Rates
The ratio of boys to girls in the club is 6 to 7. How many boys are in the club if there are 21 girls?

42. Factors, Multiples, Ratios and Rates
The ratio of boys to girls in the club is 6 to 7. How many boys are in the club if there are 21 girls?
Boys 6 18
Girls 7 21
x 3

43. Factors, Multiples, Ratios and Rates
The ratio of boys to girls in the club is 6 to 7. How many boys are in the club if there are 21 girls? 6 boys 7 girls = ? boys 21 girls 6 x 21 = 126 ÷ 7 = 18 boys
Boys 6 18
Girls 7 21
x 3

44. Factors, Multiples, Ratios and Rates
How many ounces are in 3 pounds?

45. Factors, Multiples, Ratios and Rates
How many ounces are in 3 pounds? We can also use ratio tables to convert measurements.
x 3
ounces 16 48
pounds 1 3
x 3

46. Factors, Multiples, Ratios and Rates
32 fluid ounces equal how many cups?

47. Factors, Multiples, Ratios and Rates
32 fluid ounces equal how many cups?
x 4
cups 1 4
fluid ounces 8 32
x 4

48. Factors, Multiples, Ratios and Rates
One-fourth mile is equal to how many feet?

49. Factors, Multiples, Ratios and Rates
One-fourth mile is equal to how many feet? 5280 x 𝟏 𝟒 = 𝟓𝟐𝟖𝟎 𝟒 = 5280 ÷ 4 = 1320 feet
x 𝟏 𝟒
mile 1
𝟏 𝟒
feet
5280

50. Ratio Tables, Measurement Conversion and Equivalent Ratios
You can express information in a table as a set of ordered pairs. To see patterns, graph the ordered pairs on the coordinate plane.

51. Ratio Tables, Measurement Conversion and Equivalent Ratios
The table shows Gloria’s earnings for 1,2 and 3 hours. Graph the ordered pairs (hours, earnings). Find the ordered pairs.

52. Ratio Tables, Measurement Conversion and Equivalent Ratios
The table shows Gloria’s earnings for 1,2 and 3 hours. Graph the ordered pairs (hours, earnings). Graph the ordered pairs.

53. Ratio Tables, Measurement Conversion and Equivalent Ratios
The table shows Gloria’s earnings for 1,2 and 3 hours. Graph the ordered pairs (hours, earnings). The points appear to be in a line. Each point is one unit to the right and 5 units up from the previous point. Her earnings increases by $5 for each hour.

54. Ratio Tables, Measurement Conversion and Equivalent Ratios
You save $10 each week. Which graph shows this ratio? A. B. C.

55. Ratio Tables, Measurement Conversion and Equivalent Ratios
You save $10 each week. Which graph shows this ratio? A. B. C.
𝟏𝟎 𝒘𝒆𝒆𝒌𝒔 $𝟏
$𝟓 𝒘𝒆𝒆𝒌
$𝟏𝟎 𝒘𝒆𝒆𝒌

56. Ratio Tables, Measurement Conversion and Equivalent Ratios
Sometimes ratio table do not have the x and y numbers labeled. The question will state which measurement is the x number and which is the y number.

57. Ratio Tables, Measurement Conversion and Equivalent Ratios
The table shows the number of quarters in a dollar. Graph the ordered pairs (dollars, quarters). Then describe the pattern in the graph. (dollars, quarters) (x, y)

58. Ratio Tables, Measurement Conversion and Equivalent Ratios
Determine if each pair of ratios or rates are equivalent. Explain your reasoning. 9 miles in 12 hours; 4 miles in 8 hours. Do this on your own.

59. Ratio Tables, Measurement Conversion and Equivalent Ratios
Determine if each pair of ratios or rates are equivalent. Explain your reasoning.
9 miles in 12 hours; 4 miles in 8 hours.
9 𝑚𝑖𝑙𝑒𝑠 12 ℎ𝑜𝑢𝑟𝑠 ≟ 4 𝑚𝑖𝑙𝑒𝑠 8 ℎ𝑜𝑢𝑟𝑠

60. Ratio Tables, Measurement Conversion and Equivalent Ratios
Determine if each pair of ratios or rates are equivalent. Explain your reasoning.
9 miles in 12 hours; 4 miles in 8 hours.
9 𝑚𝑖𝑙𝑒𝑠 12 ℎ𝑜𝑢𝑟𝑠 ≠ 4 𝑚𝑖𝑙𝑒𝑠 8 ℎ𝑜𝑢𝑟𝑠
9 x 8 = 72
4 x 12 = 48

61. Ratio Tables, Measurement Conversion and Equivalent Ratios
Determine if each pair of ratios or rates are equivalent. Explain your reasoning. 3 t-shirts for $21; 5 t-shirts for $35

62. Ratio Tables, Measurement Conversion and Equivalent Ratios
Determine if each pair of ratios or rates are equivalent. Explain your reasoning.
3 t-shirts for $21; 5 t-shirts for $35
3 𝑠ℎ𝑖𝑟𝑡𝑠 $21 = 5 𝑠ℎ𝑖𝑟𝑡𝑠 $35
3 x 35 = 105
5 x 21 = 105

63. Ratio Tables, Measurement Conversion and Equivalent Ratios
Determine which ratios are equivalent.
miles in 5 hours; 600 miles in 20 hours
miles in 5 hours; 600 miles in 10 hours
miles in 5 hours; 800 miles in 10 hours
miles in 5 hours; 800 miles in 20 hours

64. Ratio Tables, Measurement Conversion and Equivalent Ratios
Determine which ratios are equivalent.
miles in 5 hours; 600 miles in 20 hours

65. Ratio Tables, Measurement Conversion and Equivalent Ratios
Determine which ratios are equivalent.
miles in 5 hours; 600 miles in 20 hours
200 𝑚𝑖𝑙𝑒𝑠 5 ℎ𝑜𝑢𝑟𝑠 ≟ 600 𝑚𝑖𝑙𝑒𝑠 20 ℎ𝑜𝑢𝑟𝑠 ;200x20=4000, 5x600=3000

66. Ratio Tables, Measurement Conversion and Equivalent Ratios
Determine which ratios are equivalent.
miles in 5 hours; 600 miles in 20 hours
200 𝑚𝑖𝑙𝑒𝑠 5 ℎ𝑜𝑢𝑟𝑠 ≟ 600 𝑚𝑖𝑙𝑒𝑠 20 ℎ𝑜𝑢𝑟𝑠 ;200x20=4000, 5x600=3000
miles in 5 hours; 600 miles in 10 hours

67. Ratio Tables, Measurement Conversion and Equivalent Ratios
Determine which ratios are equivalent.
miles in 5 hours; 600 miles in 20 hours
200 𝑚𝑖𝑙𝑒𝑠 5 ℎ𝑜𝑢𝑟𝑠 ≟ 600 𝑚𝑖𝑙𝑒𝑠 20 ℎ𝑜𝑢𝑟𝑠 ;200x20=4000, 5x600=3000
miles in 5 hours; 600 miles in 10 hours
200 𝑚𝑖𝑙𝑒𝑠 5 ℎ𝑜𝑢𝑟𝑠 ≟ 600 𝑚𝑖𝑙𝑒𝑠 10 ℎ𝑜𝑢𝑟𝑠 ;200x10=2000, 5x600=3000

68. Ratio Tables, Measurement Conversion and Equivalent Ratios
Determine which ratios are equivalent.
miles in 5 hours; 600 miles in 20 hours
200 𝑚𝑖𝑙𝑒𝑠 5 ℎ𝑜𝑢𝑟𝑠 ≟ 600 𝑚𝑖𝑙𝑒𝑠 20 ℎ𝑜𝑢𝑟𝑠 ;200x20=4000, 5x600=3000
miles in 5 hours; 600 miles in 10 hours
200 𝑚𝑖𝑙𝑒𝑠 5 ℎ𝑜𝑢𝑟𝑠 ≟ 600 𝑚𝑖𝑙𝑒𝑠 10 ℎ𝑜𝑢𝑟𝑠 ;200x10=2000, 5x600=3000
miles in 5 hours; 800 miles in 10 hours

69. Ratio Tables, Measurement Conversion and Equivalent Ratios
Determine which ratios are equivalent.
miles in 5 hours; 600 miles in 20 hours
200 𝑚𝑖𝑙𝑒𝑠 5 ℎ𝑜𝑢𝑟𝑠 ≟ 600 𝑚𝑖𝑙𝑒𝑠 20 ℎ𝑜𝑢𝑟𝑠 ;200x20=4000, 5x600=3000
miles in 5 hours; 600 miles in 10 hours
200 𝑚𝑖𝑙𝑒𝑠 5 ℎ𝑜𝑢𝑟𝑠 ≟ 600 𝑚𝑖𝑙𝑒𝑠 10 ℎ𝑜𝑢𝑟𝑠 ;200x10=2000, 5x600=3000
miles in 5 hours; 800 miles in 10 hours
200 𝑚𝑖𝑙𝑒𝑠 5 ℎ𝑜𝑢𝑟𝑠 ≟ 800 𝑚𝑖𝑙𝑒𝑠 10 ℎ𝑜𝑢𝑟𝑠 ;200x10=2000, 5x800=4000

70. Ratio Tables, Measurement Conversion and Equivalent Ratios
Determine which ratios are equivalent.
miles in 5 hours; 600 miles in 20 hours
200 𝑚𝑖𝑙𝑒𝑠 5 ℎ𝑜𝑢𝑟𝑠 ≟ 600 𝑚𝑖𝑙𝑒𝑠 20 ℎ𝑜𝑢𝑟𝑠 ;200x20=4000, 5x600=3000
miles in 5 hours; 600 miles in 10 hours
200 𝑚𝑖𝑙𝑒𝑠 5 ℎ𝑜𝑢𝑟𝑠 ≟ 600 𝑚𝑖𝑙𝑒𝑠 10 ℎ𝑜𝑢𝑟𝑠 ;200x10=2000, 5x600=3000
miles in 5 hours; 800 miles in 10 hours
200 𝑚𝑖𝑙𝑒𝑠 5 ℎ𝑜𝑢𝑟𝑠 ≟ 800 𝑚𝑖𝑙𝑒𝑠 10 ℎ𝑜𝑢𝑟𝑠 ;200x10=2000, 5x800=4000
miles in 5 hours; 800 miles in 20 hours

71. Ratio Tables, Measurement Conversion and Equivalent Ratios
Determine which ratios are equivalent.
miles in 5 hours; 600 miles in 20 hours
200 𝑚𝑖𝑙𝑒𝑠 5 ℎ𝑜𝑢𝑟𝑠 ≟ 600 𝑚𝑖𝑙𝑒𝑠 20 ℎ𝑜𝑢𝑟𝑠 ;200x20=4000, 5x600=3000
miles in 5 hours; 600 miles in 10 hours
200 𝑚𝑖𝑙𝑒𝑠 5 ℎ𝑜𝑢𝑟𝑠 ≟ 600 𝑚𝑖𝑙𝑒𝑠 10 ℎ𝑜𝑢𝑟𝑠 ;200x10=2000, 5x600=3000
miles in 5 hours; 800 miles in 10 hours
200 𝑚𝑖𝑙𝑒𝑠 5 ℎ𝑜𝑢𝑟𝑠 ≟ 800 𝑚𝑖𝑙𝑒𝑠 10 ℎ𝑜𝑢𝑟𝑠 ;200x10=2000, 5x800=4000
miles in 5 hours; 800 miles in 20 hours
200 𝑚𝑖𝑙𝑒𝑠 5 ℎ𝑜𝑢𝑟𝑠 ≟ 800 𝑚𝑖𝑙𝑒𝑠 20 ℎ𝑜𝑢𝑟𝑠 ;200x20=4000, 5x800=4000

72. Multiplying Fractions
Agenda Notes Semester Review CH1b Due Wednesday, Dec 14 Chapter 1/2 Semester Quiz Friday, Dec 16 Last retake day this Thursday!