Exploring the Constant of Proportionality in 7th Grade Math

This video tutorial covers the concept of constant proportionality through various examples. It begins with calculating distances and times at a constant speed, followed by converting between kilometers and meters. The tutorial then compares inches and feet, calculates the scale of a map of the Mojave Desert, identifies equivalent scales, and analyzes picture ratios. Each section provides practical applications of proportionality, helping students understand and apply these concepts in real-world scenarios.

If Noah runs at 6 miles per hour, how far does he travel in 1 hour?

• 6 miles

• 9 miles

• 3 miles

• 8 miles

How many miles does Noah travel in one and one-third hours at 6 miles per hour?

• 9 miles

• 3 miles

• 8 miles

• 6 miles

How many meters are in 20 kilometers?

• 200 meters

• 2000 meters

• 20000 meters

• 20 meters

How many meters are in three-tenths of a kilometer?

• 3,000 meters

• 300 meters

• 0.3 meters

• 30 meters

What is the constant of proportionality when converting kilometers to meters?

• 1 meter per kilometer

• 1 kilometer per 1000 meters

• 1000 kilometers per meter

• 1 kilometer per 100 meters

Who is correct about the constant of proportionality between inches and feet?

• Jada only

• Neither is correct

• Lynn only

• Both are correct

What is the scale of the map if 10 square inches represent 25,000 square miles?

• 1 inch to 50 miles

• 1 inch to 25 miles

• 1 inch to 500 miles

• 1 inch to 250 miles

Which scale is equivalent to 1 centimeter to 5 kilometers?

• 5 centimeters to 25 kilometers

• 1 centimeter to 10 kilometers

• 3 centimeters to 15 kilometers

• 2 centimeters to 10 kilometers

Which scale is equivalent to 1 centimeter to 5 kilometers?

• 2 centimeters to 10 kilometers

• 5 millimeters to 2.5 kilometers

• 10 millimeters to 5 kilometers

• 1 millimeter to 500 meters

Which picture is not like the others based on their ratios?

• All are similar

• Picture L

• Picture M

• Picture N