1. 5 Minute Check
Find each unit rate. Round to the nearest hundredth if necessary people for 5 classes 2. $1.12 for 8.2 ounces calories in 4 servings miles on 4.5 gallons

2. 5 Minute Check
Find each unit rate. Round to the nearest hundredth if necessary people for 5 classes

3. 5 Minute Check
Find each unit rate. Round to the nearest hundredth if necessary people for 5 classes 150 people ? people 5 classes = 1 class 150 · 1 ÷ 5 = 30 people per class

4. 5 Minute Check
Find each unit rate. Round to the nearest hundredth if necessary. 2. $1.12 for 8.2 ounces

5. 5 Minute Check
Find each unit rate. Round to the nearest hundredth if necessary. 2. $1.12 for 8.2 ounces $1.12 $ ? 8.2 ounces = 1 ounce 1.12 · 1 ÷ 8.2 = $0.14/ ounce

6. 5 Minute Check
Find each unit rate. Round to the nearest hundredth if necessary calories in 4 servings

7. 5 Minute Check
Find each unit rate. Round to the nearest hundredth if necessary calories in 4 servings 815 calories ? calories 4 servings = 1 serving 815 · 1 ÷ 4 = calories per serving

8. 5 Minute Check
Find each unit rate. Round to the nearest hundredth if necessary miles on 4.5 gallons

9. 5 Minute Check
Find each unit rate. Round to the nearest hundredth if necessary miles on 4.5 gallons 144 miles ? miles 4.5 gallons = 1 gallon 144 · 1 ÷ 4.5 = 32 miles/ gallon

10. Lesson 7.1.1/7.1.2 Complex Fractions and Unit Rates
Monday, Jan 5
Lesson 7.1.1/7.1.2 Complex Fractions and Unit Rates

11. Complex Fractions and Unit Rates
Objective: To simplify complex fractions and determine unit rates.

12. Complex Fractions and Unit Rates
A ratio that compares two quantities with different units is called a rate. When you found each other’s pulse, you actually found the heart rate.

13. Complex Fractions and Unit Rates
When a rate is simplified so the denominator is 1, it is called a unit rate.

14. Complex Fractions and Unit Rates
Here are a few common unit rates.

15. Complex Fractions and Unit Rates
Adrienne biked 22 miles in 4 hours. If she biked at a constant speed, how many miles did she ride in one hour? How to Find a Unit Rate. Step 1 – Find the rate in fraction form.

16. Complex Fractions and Unit Rates
Adrienne biked 22 miles in 4 hours. If she biked at a constant speed, how many miles did she ride in one hour? 22 miles 4 hours How to Find a Unit Rate. Step 1 – Find the rate in fraction form.

17. Complex Fractions and Unit Rates
Adrienne biked 22 miles in 4 hours. If she biked at a constant speed, how many miles did she ride in one hour? 22 miles 4 hours How to Find a Unit Rate. Step 2 – Simplify.

18. Complex Fractions and Unit Rates
Adrienne biked 22 miles in 4 hours. If she biked at a constant speed, how many miles did she ride in one hour? 22 miles 11 miles 4 hours = 2 hours How to Find a Unit Rate. Step 2 – Simplify.

19. Complex Fractions and Unit Rates
Adrienne biked 22 miles in 4 hours. If she biked at a constant speed, how many miles did she ride in one hour? 22 miles 11 miles 4 hours = 2 hours How to Find a Unit Rate. Step 3 – If needed, set up a proportion with a denominator of 1 and solve.

20. Complex Fractions and Unit Rates
Adrienne biked 22 miles in 4 hours. If she biked at a constant speed, how many miles did she ride in one hour? 22 miles 11 miles ? miles 4 hours = 2 hours = 1 hour How to Find a Unit Rate. Step 3 – If needed, set up a proportion with a denominator of 1 and solve.

21. Complex Fractions and Unit Rates
Adrienne biked 22 miles in 4 hours. If she biked at a constant speed, how many miles did she ride in one hour? 22 miles 11 miles ? miles 4 hours = 2 hours = 1 hour 11 · 1 ÷ 2 = 5.5 miles

22. Complex Fractions and Unit Rates
Find the unit rate. 220 miles in 8 gallons Do this on your own.

23. Complex Fractions and Unit Rates
Find the unit rate. 220 miles in 8 gallons 220 m 110 m $m 8 g = 4 g = 1 g 110 · 1 ÷ 4 = 27.5 miles

24. Complex Fractions and Unit Rates
The prices of 3 different bags of dog food are given in the table. Which size bag has the lowest price per pound rounded to the nearest cent? Do this on your own.

25. Complex Fractions and Unit Rates
The prices of 3 different bags of dog food are given in the table. Which size bag has the lowest price per pound rounded to the nearest cent? 40 lb bag is $1.23 per lb 20 lb bag is $1.17 per lb 8 lb bag is $1.24 per lb

26. Complex Fractions and Unit Rates
Lexi painted 2 faces in 8 minutes at the craft fair. At this rate, how many faces can she paint in 40 minutes? Do this on your own.

27. Complex Fractions and Unit Rates
Lexi painted 2 faces in 8 minutes at the craft fair. At this rate, how many faces can she paint in 40 minutes? 2 faces ? faces 8 min = 40 min 2 · 40 ÷ 8 = 10 Or……..

28. Solve One-Step Inequalities

29. Solve One-Step Inequalities

30. Solve One-Step Inequalities

31. Solve One-Step Inequalities

32. Solve One-Step Inequalities

33. Solve One-Step Inequalities

34. Solve One-Step Inequalities

35. Solve One-Step Inequalities

36. Complex Fractions and Unit Rates
A complex fraction is when there is a fraction is in the numerator and/or denominator.
e.g

37. Complex Fractions and Unit Rates
A complex fraction is when there is a fraction is in the numerator and/or denominator. Complex fractions are simplified when both the numerator and denominator are whole integers.

38. Complex Fractions and Unit Rates
To simplify a complex fraction, convert the complex fraction to a division problem and solve.

39. Complex Fractions and Unit Rates
Simplify How to Simplify a Complex Fraction. Step 1 – Rewrite the fraction as a division problem.

40. Complex Fractions and Unit Rates
Simplify ÷ 4 4 How to Simplify a Complex Fraction. Step 1 – Rewrite the fraction as a division problem.

41. Complex Fractions and Unit Rates
Simplify ÷ 4 4 How to Simplify a Complex Fraction. Step 2 – Flip the 2nd fraction and multiply.

42. Complex Fractions and Unit Rates
Simplify · 4 = 8 4 How to Simplify a Complex Fraction. Step 2 – Flip the 2nd fraction and multiply.

43. Complex Fractions and Unit Rates
Simplify 1 2 Do this on your own.

44. Complex Fractions and Unit Rates
Simplify = 1÷ · 2 = 2

45. Complex Fractions and Unit Rates
Simplify Do this on your own.

46. Complex Fractions and Unit Rates
Simplify = 2 3 ÷ · 1 7 = 2 21

47. Complex Fractions and Unit Rates
Simplify Do this on your own.

48. Complex Fractions and Unit Rates
Simplify = 2 4 ÷ · 1 2 = 1 4

49. Complex Fractions and Unit Rates
Josiah can jog miles in hours. Find his average speed in miles per hour.

50. Complex Fractions and Unit Rates
Josiah can jog miles in hours. Find his average speed in miles per hour.
miles ? miles
1 4 hours = hour
· 1 ÷ =
4 3 · = = miles per hour

51. Complex Fractions and Unit Rates
Josiah can jog miles in hours. Find his average speed in miles per hour.
miles ? miles
1 4 hours = hour
· 1 ÷ =
4 3 · = = miles per hour

52. Complex Fractions and Unit Rates
Tia is painting her house. She paints square feet in hours. At this rate, how many square feet can she paint each hour?

53. Complex Fractions and Unit Rates
Tia is painting her house. She paints square feet in hours. At this rate, how many square feet can she paint each hour?
sf ? sf
3 4 hours = hour
· 1 ÷ =
· = = 46 sf per hour

54. Complex Fractions and Unit Rates
Tia is painting her house. She paints square feet in hours. At this rate, how many square feet can she paint each hour?
sf ? sf
3 4 hours = hour
· 1 ÷ =
· = = 46 sf per hour

55. Complex Fractions and Unit Rates
Mr. Ito is spreading mulch in his yard. He spreads square feet in 2 hours. How many square feet can he mulch each hour?

56. Complex Fractions and Unit Rates
Mr. Ito is spreading mulch in his yard. He spreads square feet in 2 hours. How many square feet can he mulch each hour?
sf ? sf
2 hours = hour
· 1 ÷ 2 =
· = = sf per hour

57. Complex Fractions and Unit Rates
Aubrey can walk miles in hours. Find her average speed in miles per hour.

58. Complex Fractions and Unit Rates
Aubrey can walk miles in hours. Find her average speed in miles per hour.
miles ? miles
hours = hour
· 1 ÷ =
9 2 · = = 3 miles per hour

59. Complex Fractions and Unit Rates
Karl measured the wingspan of the butterfly and the moth shown below. How many times larger is the moth than the butterfly?

60. Complex Fractions and Unit Rates
Karl measured the wingspan of the butterfly and the moth shown below. How many times larger is the moth than the butterfly? ÷ ÷
· = times larger

61. Complex Fractions and Unit Rates
Mary is making pillows for her Life Skills class. She bought yards of fabric. Her total cost was $15. What was her cost per yard?

62. Complex Fractions and Unit Rates
Mary is making pillows for her Life Skills class. She bought yards of fabric. Her total cost was $15. What was her cost per yard?
$ $ ?
yds = 1 yd
15 · 1 ÷
· = = $6 per yd

63. Complex Fractions and Unit Rates
Pep Club members are making spirit buttons. They can make 490 buttons in hours. Find the number buttons they make per hour.

64. Complex Fractions and Unit Rates
Pep Club members are making spirit buttons. They can make 490 buttons in hours. Find the number buttons they make per hour.
490 buttons ? buttons
hours = hour
490 · 1 ÷ =
· = = 140 buttons per hour

65. Complex Fractions and Unit Rates
Johanna’s parents give her $10 per week for lunch money.
Use mental math to solve the following:
· ÷

66. Complex Fractions and Unit Rates
Johanna’s parents give her $10 per week for lunch money.
Use mental math to solve the following:
· · = = 1 2

67. Complex Fractions and Unit Rates
Winter Weather Class Information In the event of school being cancelled, that days PPT and homework will be posted on my website. While not required, students are encouraged to view the PPT and complete the homework.

68. Complex Fractions and Unit Rates
Agenda Notes Homework – Homework Practice Due Tuesday, Jan 6 Mid-Chapter 7.1 Quiz - Thursday, Jan 8