1. 5 Minute Check
Simplify 2 3 5 1 4

2. 5 Minute Check
Simplify

3. 5 Minute Check
Simplify 2 ÷
· =

4. 5 Minute Check
Simplify 2 3

5. 5 Minute Check
Simplify 2 3 ÷
· = =

6. 5 Minute Check
Simplify

7. 5 Minute Check
Simplify 5 ÷
· =

8. 5 Minute Check
Simplify 1 4

9. 5 Minute Check
Simplify 1 4 ÷
· = 16

10. Lesson 7.1.3 Convert Unit Rates
Tuesday, Jan 6
Lesson Convert Unit Rates

11. Solve One-Step Inequalities

12. Solve One-Step Inequalities

13. Solve One-Step Inequalities

14. Solve One-Step Inequalities

15. Solve One-Step Inequalities

16. Solve One-Step Inequalities

17. Solve One-Step Inequalities

18. Solve One-Step Inequalities

19. Solve One-Step Inequalities

20. Solve One-Step Inequalities

21. Convert Unit Rates
Objective: To convert units of measure between derived units to solve problems.

22. Convert Unit Rates
The relationships among some commonly used customary and metric units are shown in the tables below.

23. Convert Unit Rates
Each of the relationships in the tables can be written as a unit ratio. A unit ratio, like a unit rate, has a denominator of one unit.

24. Convert Unit Rates
A remote control car travels at a rate of 10 feet per second. How many inches per second is this? How to Convert Unit Rates Step 1 – Write the complete rate as a fraction with units .

25. Convert Unit Rates
A remote control car travels at a rate of 10 feet per second. How many inches per second is this? 10 ft 1 s How to Convert Unit Rates Step 1 – Write the complete rate as a fraction with units .

26. Convert Unit Rates
A remote control car travels at a rate of 10 feet per second. How many inches per second is this? 10 ft 1 s How to Convert Unit Rates Step 2 – Determine the units of the answer and write as a fraction.

27. Convert Unit Rates
A remote control car travels at a rate of 10 feet per second. How many inches per second is this? 10 ft in 1 s = 1 s How to Convert Unit Rates Step 2 – Determine the units of the answer and write as a fraction.
Leave space for the conversion rate.

28. Convert Unit Rates
A remote control car travels at a rate of 10 feet per second. How many inches per second is this? 10 ft in 1 s = 1 s How to Convert Unit Rates Step 3 – Determine the units of the conversion rate(s).
Leave space for the conversion rate.

29. Convert Unit Rates
A remote control car travels at a rate of 10 feet per second. How many inches per second is this? 10 ft in in 1 s ft = 1 s How to Convert Unit Rates Step 3 – Determine the units of the conversion rate(s).
conversion rate .

30. Convert Unit Rates
A remote control car travels at a rate of 10 feet per second. How many inches per second is this?
10 ft in in
1 s ft = 1 s
The conversion rate units are determined by the original rate units and the answer units.
In the above case, we need to cancel the “ft” units and replace with “in” units. Notice the conversion rate has “ft” in the denominator, so it will cancel the “ft” of the original rate.
conversion rate .

31. Convert Unit Rates
A remote control car travels at a rate of 10 feet per second. How many inches per second is this? 10 ft in in 1 s ft = 1 s How to Convert Unit Rates Step 4 – Complete the conversion rate(s). Eg. How many inches in how many feet?
conversion rate.

32. Convert Unit Rates
A remote control car travels at a rate of 10 feet per second. How many inches per second is this? 10 ft 12 in in 1 s 1 ft = 1 s How to Convert Unit Rates Step 4 – Complete the conversion rate(s).
conversion rate.

33. Convert Unit Rates
A remote control car travels at a rate of 10 feet per second. How many inches per second is this? 10 ft 12 in in 1 s 1 ft = 1 s How to Convert Unit Rates Step 5 – Multiply and cancel units.

34. Convert Unit Rates
A remote control car travels at a rate of 10 feet per second. How many inches per second is this? 10 ft 12 in 120 in 1 s 1 ft = 1 s How to Convert Unit Rates Step 5 – Multiply and cancel units.

35. Convert Unit Rates
A swordfish can swim at a rate of 60 miles per hour. How many feet per hour is this? Step 1 - ?

36. Convert Unit Rates
A swordfish can swim at a rate of 60 miles per hour. How many feet per hour is this? 60 mile 1 h Step 2 - ?

37. Convert Unit Rates
A swordfish can swim at a rate of 60 miles per hour. How many feet per hour is this? 60 mile ft 1 h = 1 h Step 3 – ?

38. Convert Unit Rates
A swordfish can swim at a rate of 60 miles per hour. How many feet per hour is this?
60 mile ft ft
1 h mile = 1 h
Remember – we want to cancel the “mile” unit in the numerator of the original rate. In order to do so, the conversion rate must have a “mile” unit in the denominator.
Step 4 – ?

39. Convert Unit Rates
A swordfish can swim at a rate of 60 miles per hour. How many feet per hour is this? 60 mile 5280 ft ft 1 h 1 mile = 1 h How many feet in how many miles? Step 5 – ?

40. Convert Unit Rates
A swordfish can swim at a rate of 60 miles per hour. How many feet per hour is this? 60 mile 5280 ft 316, 800 ft 1 h 1 mile = 1 h

41. Convert Unit Rates
A gull can fly at a speed of 22 miles per hour. How many feet per hour can the gull fly? Do this on your own.

42. Convert Unit Rates
A gull can fly at a speed of 22 miles per hour. How many feet per hour can the gull fly? 22 miles 5280 ft 116,160 ft 1 h 1 mile = 1 h

43. Convert Unit Rates
An AMTRAK train travels at 125 miles per hour. Convert the speed to miles per minute. Round to the nearest tenth. Do this on your own.

44. Convert Unit Rates
An AMTRAK train travels at 125 miles per hour. Convert the speed to miles per minute. Round to the nearest tenth. 125 miles 1 h 2.1 miles 1 h 60 min = 1 min

45. Convert Unit Rates
Marvin is walking at a speed of 7 feet per second. How many feet per hour is this? Do this on your own.

46. 1 s 1 min = 1 min Convert Unit Rates
Marvin is walking at a speed of 7 feet per second. How many feet per hour is this?
7 ft s ft
1 s min = 1 min
420 ft min ,200 ft
1 min h = h
Or you can create one large conversion rate…

47. 1 s 1 min · 1 h = 1 h Convert Unit Rates
Marvin is walking at a speed of 7 feet per second. How many feet per hour is this?
7 ft s · 60 min ,200 ft
1 s min · 1 h = h

48. Convert Unit Rates
The average speed of one team in a relay race is10 miles per hour. What is the speed in feet per second? Round to the nearest tenth. Do this on your own.

49. Convert Unit Rates
The average speed of one team in a relay race is10 miles per hour. What is the speed in feet per second? Round to the nearest tenth. 10 miles 5280 ft 52,800 ft 1 h 1 mile = 1 h 52,800 ft 1 h 880 ft 1 min 14.7 ft 1 h 60 min = 1 min 60 s = 1 s Or you can create one large conversion rate…

50. Convert Unit Rates
The average speed of one team in a relay race is10 miles per hour. What is the speed in feet per second? Round to the nearest tenth. 10 miles 5280 ft · 1 h · 1 min 14.7 ft 1 h 1 mile · 60 min · 60 s = 1s

51. Convert Unit Rates
Johanna’s parents give her $10 per week for lunch money.
When you convert 100 ft per second to inches per second, will there be more or less than 100 inches? Explain.

52. Convert Unit Rates
Johanna’s parents give her $10 per week for lunch money.
When you convert 100 ft per second to inches per second, will there be more or less than 100 inches? Explain.
More; Since inches are smaller than feet, it will take more inches to make equivalent rates.

53. Convert Unit Rates
Johanna’s parents give her $10 per week for lunch money.
If 1 yard is equal to 0.91 meters, convert 7 meters per minute to yards per hour. Round to the nearest tenth.

54. Convert Unit Rates
Johanna’s parents give her $10 per week for lunch money.
If 1 yard is equal to 0.91 meters, convert 7 meters per minute to yards per hour. Round to the nearest tenth.
7 meter meter
? yd = yd
7 meters = 7.7 yds
7.7 yd yd min yd
1 min = 1 min h = h

55. Convert Unit Rates
Agenda Notes Homework – Homework Practice Due Wednesday, Jan 7 You can use the table in slide 22 , if needed. Mid-Chapter 7.1 Quiz - Thursday, Jan 8