Exploring Ratios and Rates in 6th Grade Math

The video tutorial covers lesson 7.1 from the sixth grade Go Math textbook, focusing on independent practice problems. It begins with calculating the unit rate of money collected per sweatshirt sold and proceeds to graphing ordered pairs from a table. The tutorial applies unit rates to solve problems, discusses distance and time relationships, and explores real-life graph relationships. It also involves making conjectures using tables and finding rates, concluding with determining scales for graphing rates or ratios.

What is the unit rate of money collected per sweatshirt sold?

• $10 per sweatshirt

• $15 per sweatshirt

• $20 per sweatshirt

• $25 per sweatshirt

If 5 sweatshirts are sold, how much money is collected?

• $120

• $140

• $100

• $80

How do you graph the information from the table?

• Plot the number of sweatshirts sold on the x-axis and money collected on the y-axis

• Plot the number of sweatshirts sold on the y-axis and money collected on the x-axis

• Plot both values on the x-axis

• Plot both values on the y-axis

Why are the points on the graph not connected?

• Because the data points are not related

• Because the points are too far apart

• Because it doesn't make sense to sell half of a sweatshirt

• Because the graph is incomplete

How much money would be collected if 24 sweatshirts were sold?

• $480

• $540

• $420

• $360

What is the unit rate of distance traveled per hour if Mindy drives 55 miles in one hour?

• 55 miles per hour

• 50 miles per hour

• 65 miles per hour

• 60 miles per hour

How far would Mindy travel in 6 hours at the same rate?

• 330 miles

• 390 miles

• 360 miles

• 300 miles

How many weeks correspond to 56 days?

• 7 weeks

• 6 weeks

• 8 weeks

• 9 weeks

What is a real-life relationship that can be described by the graph?

• Number of hours in a day

• Number of months in a year

• Number of days in a week

• Number of minutes in an hour

How do you determine the scales to use on each axis when graphing a rate or ratio from a table?

• Choose a scale that includes the average values from the table

• Choose a scale that includes the maximum values from the table

• Choose a scale that includes the minimum values from the table

• Choose a scale that includes the median values from the table