1. Module 1 Lesson 22 Problem Solving Using Rates, Unit Rates, and Conversions.notebook
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October 27, 2014
Monday Problem Set Lesson 22
Tuesday Problem Set Lesson 23
Wednesday Study Lessons 16­23
Thursday Quiz Today Lessons 16­23
Friday Happy Halloween! No homework!
Oct 8­8:
53 AM

2. Module 1 Lesson 22 Problem Solving Using Rates, Unit Rates, and Conversions.notebook
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October 27, 2014
Aug 26­5:
55 PM
Lesson 21 Homework Review
1. 7 ft. = 84 in. 2. 100 yd. = 300 ft.
3. 25 m = 2,500 cm 4. 5 km = 5,000 m
5. 96 oz. = 6 lb. 6. 2 mi. = 10,560 ft.
7. 2 mi. = 3,520 yd. 8. 32 fl. oz. = 4 c.
9. 1,500 ml = 1.5 l 10. 6 g = 6,000 mg
11. Beau buys a 3 pound bag of trail mix for a hike. He wants to make one‐ounce bags for his friends with
whom he is hiking. How many one‐ounce bags can he make? 48 bags
12. The maximum weight for a truck on the New York State Thruway is 40 tons. How many pounds is
this? 80,000 lb.
13. Claudia’s skis are 150 centimeters long. How many meters is this? 1.5 m‐‐
14. Claudia’s skis are 150 centimeters long. How many millimeters is this? 1,500 mm
15. Write your own problem and solve it.

3. Module 1 Lesson 22 Problem Solving Using Rates, Unit Rates, and Conversions.notebook
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October 27, 2014
Module 1
Ratios and Unit Rates
Topic C: Unit Rates
Lesson 22 Getting the Job Done—Speed, Work,
and Measurement Units
Student Outcomes
§ Students decontextualize a given speed situation, representing symbolically the
quantities involved with the formula .
Aug 26­5:
45 PM

4. Module 1 Lesson 22 Problem Solving Using Rates, Unit Rates, and Conversions.notebook
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October 27, 2014
How many seconds are
in a minute?
Can you verbalize this relationship?
Oct 31­10:
35 AM
Here are two different ways:

5. Module 1 Lesson 22 Problem Solving Using Rates, Unit Rates, and Conversions.notebook
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October 27, 2014
If something is moving at a constant rate of speed for a certain amount of time, it is possible to find how far
it went by multiplying those two values. In mathematical language, we say Distance = Rate • Time
Exercise 2
Part 1: Chris Johnson ran the 40 yard dash in 4.24 seconds. What is the rate of speed? Round any answer
to the nearest hundredth of a second.
Distance = Rate Time
Oct 31­10:
35 AM
or

6. Module 1 Lesson 22 Problem Solving Using Rates, Unit Rates, and Conversions.notebook
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October 27, 2014
Part 2: In Lesson 21, we converted units of measure using unit rates. If the runner could keep up this speed at a constant rate,
how many yards would he run in an hour? This problem can be solved by breaking it down into two steps. Work with a
partner, and make a record of your calculations.
Oct 31­10:
35 AM
a. How many yards would he run in one minute?
b. How many yards would he run in one hour?
Cross out any units that are in both the numerator and denominator
in the expression because these cancel out each other.

7. Module 1 Lesson 22 Problem Solving Using Rates, Unit Rates, and Conversions.notebook
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October 27, 2014
§ We completed that problem in two separate steps, but it is possible to complete this same problem in
one step. We can multiply the yards per second by the seconds per minute, then by the minutes per hour.
Oct 31­10:
35 AM

8. Module 1 Lesson 22 Problem Solving Using Rates, Unit Rates, and Conversions.notebook
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October 27, 2014
Part 3: How many miles did the runner travel in that hour? Round your response to the nearest tenth.
Cross out any units that are in both the numerator and denominator
in the expression because these cancel out each other.
Oct 31­10:
35 AM

9. Module 1 Lesson 22 Problem Solving Using Rates, Unit Rates, and Conversions.notebook
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October 27, 2014
I drove my car on cruise control at 65 miles per hour for 3 hours without
stopping. How far did I go?
Oct 31­10:
35 AM
Examples 1–2: Road Trip
Example 1
d = ______miles

10. Module 1 Lesson 22 Problem Solving Using Rates, Unit Rates, and Conversions.notebook
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October 27, 2014
Example 2
On the road trip, the speed limit changed to 50 miles per hour in a construction zone.
Traffic moved along at a constant rate (50 mph), and it took me 15 minutes ( 0.25 hours)
to get through the zone. What was the distance of the construction zone? (Round your
response to the nearest hundredth of a mile).
Oct 31­10:
35 AM

11. Module 1 Lesson 22 Problem Solving Using Rates, Unit Rates, and Conversions.notebook
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October 27, 2014
Aug 26­8:
21 PM
Closing
Please take out your exit ticket for Lesson 22, close your
binder, and complete the exit ticket. This will be collected.

12. Module 1 Lesson 22 Problem Solving Using Rates, Unit Rates, and Conversions.notebook
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October 27, 2014
Oct 28­8:
26 PM