Scale Factors and Map Distances

Mr. Holcomb revisits a skipped exercise from lesson 22, focusing on comparing maps and calculating scale factors. Jackie and Carmen's maps are compared, and the scale factor between them is determined. The lesson further explores how to relate this scale factor to actual distances, ensuring the calculations are accurate and logical. The video concludes with a detailed explanation of the final calculations, providing a comprehensive understanding of the exercise.

What was the reason for creating this video?

• To provide a summary of the lesson.

• To correct a mistake in a previous video.

• To introduce a new math concept.

• To answer a viewer's question about a different topic.

What was the length of the map printed by Jackie?

• 13 centimeters

• 560 centimeters

• 4 centimeters

• 26 centimeters

How does the scale factor relate to the size of the map?

• A scale factor of 0 indicates no change.

• A scale factor between 0 and 1 indicates an enlargement.

• A scale factor greater than 1 indicates an enlargement.

• A scale factor greater than 1 indicates a reduction.

What is the scale factor from Carmen's map to Jackie's map?

• 13 to 2

• 2 to 13

• 4 to 26

• 1 to 560

What is the first step in calculating the scale factor to the actual distance?

• Add the scale factor to the actual distance.

• Divide the actual distance by the scale factor.

• Set up an equation comparing the scale drawing to the actual distance.

• Multiply the scale factor by the actual distance.

What is the correct scale factor from Jackie's map to the actual distance?

• 2 to 13

• 26 to 4

• 13 to 1126540

• 1 to 563270

What is the final calculated actual distance if the map is 26 centimeters?

• 2,252,308

• 563,270

• 1,126,540

• 13,000

What is the importance of checking your work when calculating scale factors?

• To ensure the scale factor is greater than 1.

• To verify the calculations meet the requirement of reduction.

• To make sure the scale factor is exactly 1.

• To confirm the scale factor is less than 0.

What happens if you incorrectly set up the scale factor equation?

• The scale factor will be zero.

• The scale factor will be negative.

• You will get a scale factor of exactly 1.

• The result will be a number greater than 1, indicating an incorrect direction.

What is the reciprocal of the scale factor 2/13?

• 1/13

• 2/1

• 26/4

• 13/2