Unit Rates and Proportional Relationships

This video tutorial introduces sixth-grade students to the concept of unit rates, using the Burj Khalifa as a context. It includes a warm-up activity estimating the height of the Hyperion tree and a main activity calculating the time needed to wash all windows of the Burj Khalifa. The lesson also covers a climbing scenario and various practice problems to reinforce the concept of unit rates. The video emphasizes using tables to organize and solve problems involving unit rates.

What is the height of the Statue of Liberty used as a reference in the warm-up activity?

• 250 feet

• 305 feet

• 400 feet

• 500 feet

If the window washing crew can clean 15 windows in 18 minutes, how long will it take to clean 30 windows?

• 24 minutes

• 30 minutes

• 45 minutes

• 36 minutes

What is the unit rate for washing one window if 15 windows take 18 minutes?

• 2 minutes per window

• 1.5 minutes per window

• 0.8 minutes per window

• 1.2 minutes per window

A climber scales 828 meters in 6 hours. How far do they climb in 3 hours?

• 414 meters

• 276 meters

• 552 meters

• 690 meters

How many meters does the climber ascend in the first hour?

• 276 meters

• 414 meters

• 552 meters

• 138 meters

An elevator travels 310 feet in 10 seconds. How far will it travel in 20 seconds?

• 930 feet

• 1240 feet

• 310 feet

• 620 feet

Hans earns $33 for 4 hours of babysitting. How much will he earn for 8 hours?

• $99

• $66

• $132

• $82.50

If 5 cans of dog food cost $4.35, what is the cost of 10 cans?

• $7.50

• $10.00

• $9.00

• $8.70

If the cost of 5 cans of dog food is $4.35, what is the cost per can?

• $0.87

• $0.90

• $1.00

• $0.75

A restaurant has 26 tables. If it takes 10 minutes to clear 4 tables, how long will it take to clear all 26 tables?

• 65 minutes

• 60 minutes

• 70 minutes

• 75 minutes