

9.1.1 Comparing Rates
Presentation
•
Mathematics
•
6th - 8th Grade
•
Practice Problem
•
Hard
Courtney Kuschel
Used 2+ times
FREE Resource
8 Slides • 20 Questions
1
Comparing Rates
2
You can use a calculator! Go to our Canvas Page, Quick Links, Desmos Calculator
3
Open Ended
Recycling for 3/5 week earns $85
Yardwork for 2 weeks earns $320
How can we determine which will earn more money overall?
4
9-1:
The sixth graders at Shasta Middle School are planning a class trip to Washington, D.C. They need to raise enough money for all 140 sixth graders to travel, so they have a lot of work to do! The class officers have collected the data below about different kinds of fundraisers. They want your help with choosing a fundraising activity.
5
Math Response
How much will the class members earn if they spend six weeks doing yardwork?
6
Math Response
How much will the class members earn if they spend six weeks having car washes?
7
Math Response
How much will the class members earn if they spend three weeks recycling?
Hint: 3/5 of a week is 3 school days. We will say there are 5 days in a week for this problem.
8
Math Response
Compare the money made from selling cookies and from doing car washes.
How many weeks would the class need to sell cookies in order to earn $5000?
9
Multiple Choice
Compare the money made from selling cookies and from doing car washes.
How many weeks would the class need to have car washes in order to earn $5000?
10
Multiple Choice
Compare the money made from selling cookies and from doing car washes.
Could the class earn $175 each week by washing cars?
11
Multiple Choice
Compare the money made from selling cookies and from doing car washes.
How much could the class earn during one week of cookie sales?
12
Math Response
Nicolette decided to see how much the students could earn in 12 weeks.
How much could the students earn after 12 weeks of cookies sales?
13
Math Response
Nicolette decided to see how much the students could earn in 12 weeks.
How much could the students earn after 12 weeks of washing cars?
14
Open Ended
Which fundraising activity raises money the fastest: selling cookies or washing cars? Write a note to the class officers recommending the fastest fundraising activities. Explain your reasoning.
15
You can still use a calculator! Go to our Canvas Page, Quick Links, Desmos Calculator
16
9-14:
The local news station is selecting this week’s student for “Athlete of the Week.” Wendy and Yoshie, sprinters on the track team, are both finalists. They are trying to decide who is fastest based on recent race data.
17
Math Response
This table shows Wendy's times. How far can Wendy run in 25 seconds?
18
Multiple Choice
What is Wendy's running rate in meters per second?
30 meters per 5 seconds
10 meters per 30 seconds
5 meters per 30 seconds
200 meters per 25 seconds
19
Open Ended
Wendy can run 30 meters in 5 seconds.
Yoshi can run 70 meters in 11 seconds.
Who is faster?
20
Open Ended
Based on the graph, who is running faster? How do you know?
21
Open Ended
Wendy can run 30 meters in 5 seconds.
Yoshi can run 70 meters in 11 seconds.
Vanessa was Athlete of the Week last week. If she raced Yoshi and Wendy, who would win?
22
You can still use a calculator! Go to our Canvas Page, Quick Links, Desmos Calculator
23
9-16:
triathlon is a race in which participants swim, bike, and run specific distances. Participants start by swimming. After swimming, they jump out of the water, get dressed as fast as they can, and ride a bicycle. After they complete the biking section, the participants finish the race by running several miles.
24
Multiple Choice
During which segment of the race (a, b, or c) did Diane go the fastest?
25
Multiple Choice
What was Diane's distance during Segment B?
Hint: What is the difference between 0.5 and 12.5?
1 mile
12 miles
26
Multiple Choice
What was Diane's time during Segment B?
Hint: What is the difference between 18 and 60?
36 minutes
42 minutes
27
Multiple Choice
Diane traveled 12 miles in 42 minutes during Segment A of the race. What is her rate?
12 miles per 42 minutes
24 miles per 81 minutes
42 miles per 12 minutes
6 minutes per 21 miles
28
Comparing Rates
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