Unit Conversion and Scale Factors

Mr. Weaver's lesson on units in scale drawings teaches students how to determine if two scales are equivalent and how to convert scales with units into scales without units, and vice versa. The lesson includes examples of converting scales using common distance equivalents, such as centimeters to meters and inches to miles. By the end of the lesson, students should be able to identify equivalent scales and perform unit conversions to verify scale equivalence.

What is the main objective of the lesson on units and scale drawings?

• To understand the history of measurement units

• To memorize all distance equivalents

• To determine if two scales are equivalent and convert scales with and without units

• To learn how to draw maps

How many inches are there in one foot?

• 10 inches

• 12 inches

• 20 inches

• 15 inches

What is the equivalent of 100 centimeters in meters?

• 1000 meters

• 1 meter

• 10 meters

• 100 meters

In the example given, what is the equivalent of 3 kilometers in meters?

• 30000 meters

• 3000 meters

• 300 meters

• 30 meters

What is the first step in determining if two scales are equivalent?

• Using a calculator

• Drawing a map

• Converting one or both units to the same unit

• Measuring the actual distance

How many feet are there in one mile?

• 6000 feet

• 5000 feet

• 5280 feet

• 528 feet

What is the result of converting 5 miles into feet?

• 5000 feet

• 26400 feet

• 10000 feet

• 5280 feet

In the example, what is the equivalent scale of 1 inch to 5 miles in inches?

• 1 inch to 1000 inches

• 1 inch to 26400 inches

• 1 inch to 316800 inches

• 1 inch to 5000 inches

What can a scale also tell us besides the length?

• The area corresponding to the actual length

• The color of the map

• The weight of the object

• The volume of the object

What is the factor of the scale when comparing areas?

• The scale to the fourth power

• The scale to the third power

• The scale to the second power

• The scale to the first power