Proportional Relationships and Conversions

This video tutorial covers the concept of proportional relationships, focusing on the constant of proportionality. It explains how to find missing information in a table, calculate unit rates, and solve proportion problems. The tutorial includes examples of converting between centimeters and millimeters, calculating travel distances, and determining the amount of rice needed for a given number of people. The video emphasizes understanding reciprocal relationships and setting up proportions to solve real-world problems.

What is the main focus of the lesson on proportional relationships?

• Finding missing information in a table

• Learning about fractions

• Understanding algebraic expressions

• Exploring geometric shapes

If 1 centimeter equals 10 millimeters, what is the constant of proportionality from centimeters to millimeters?

• 0.1

• 5

• 1

• 10

How do you convert millimeters to centimeters?

• Multiply by 10

• Divide by 100

• Divide by 10

• Multiply by 100

What is the reciprocal of the constant of proportionality from centimeters to millimeters?

• 0.01

• 1

• 0.1

• 10

If a plane travels 550 miles in one hour, how far will it travel in 1.7 hours?

• 700 miles

• 935 miles

• 850 miles

• 1020 miles

How long does it take to travel 330 miles at a speed of 550 miles per hour?

• 1 hour

• 36 minutes

• 45 minutes

• 30 minutes

If 2 cups of rice feed 6 people, how many people can 1 cup of rice feed?

• 4 people

• 3 people

• 5 people

• 2 people

How many cups of rice are needed to feed 45 people if 1 cup feeds 3 people?

• 10 cups

• 12 cups

• 18 cups

• 15 cups

What is the constant of proportionality when 1 cup of rice feeds 3 people?

• 1

• 4

• 2

• 3

What is the first step in solving a proportion problem involving rice and people?

• Cross-multiply

• Add the quantities

• Find the unit rate

• Subtract the quantities