Exploring Scale Factors in Mathematics

The video tutorial covers the concept of scale factor and dilations, explaining how they affect the size of objects. It uses examples, such as a wizard camp scenario, to illustrate how scale factors can cause objects to grow or shrink. The tutorial provides step-by-step instructions on calculating new heights using scale factors, including using a calculator for fractional values. It also discusses identifying when objects grow or shrink based on the scale factor and provides practical examples of calculating dimensions. Finally, it explains how to find the scale factor when given two objects.

What happens to an object when the scale factor is a fraction?

• It grows in size.

• It remains the same size.

• It shrinks in size.

• It changes color.

If Harold starts at 64 inches and uses a scale factor of 3, what will be his new height?

• 192 inches

• 21 inches

• 128 inches

• 67 inches

How do you input a fraction like 1/8 using a calculator as described in the video?

• Type 8, then use the abc key, then 1

• Type 1/8 directly

• Type 1, then use the abc key, then 8

• Type 1, then use the division key, then 8

What is the new height if a person 58 inches tall uses a scale factor of 2.5?

• 145 inches

• 150 inches

• 142.5 inches

• 116 inches

What can be inferred about scale factors greater than one?

• They grow the object.

• They do not change the object's size.

• They shrink the object.

• They make the object lighter.

What happens if the scale factor is exactly one?

• The object doubles in size.

• The object becomes invisible.

• The object's size does not change.

• The object reduces to half its size.

How do you find the scale factor between two objects?

• Subtract the size of the new object from the original object.

• Add the sizes of the two objects.

• Multiply the sizes of the two objects.

• Divide the size of the new object by the original object.

What is the new dimension if a figure 35 inches wide uses a scale factor of 2/5?

• 20 inches

• 17.5 inches

• 14 inches

• 22 inches

What does a scale factor of 3.5 imply about the transformation of an object?

• It shrinks significantly.

• It remains unchanged.

• It grows significantly.

• It becomes three times lighter.

If an object's size is reduced using a scale factor, which of the following is true?

• The scale factor was less than one.

• The scale factor was greater than one.

• The scale factor was one.

• The scale factor was zero.