Exploring Scale Factors in 7th Grade Math

This lesson covers the concept of scale factors, explaining how they affect the size of scaled copies. It discusses scale factors greater than, less than, and equal to one, and how to calculate them using examples. The lesson also includes practice problems and introduces the concept of reciprocals to reverse scale factors.

What happens to a scale copy when the scale factor is greater than 1?

• It becomes smaller

• It remains the same size

• It becomes larger

• It becomes distorted

If a scale factor is exactly 1, how does the scale copy compare to the original?

• Smaller

• The same size

• Larger

• Inverted

How do you find a scale factor using side lengths of 6 and 12?

• Add 6 to 12

• Divide 6 by 12

• Divide 12 by 6

• Multiply 6 by 2

What is the scale factor if you shrink a figure, moving from 12 to 6?

• Divide by 0.5

• Multiply by 0.5

• Divide by 2

• Multiply by 2

To verify a scale factor of 2/3, what property should it have?

• Greater than 1

• None of the above

• Equal to 1

• Less than 1

How can you calculate a scale factor when given side lengths of 18 and 12?

• Add 18 to 12

• Divide 12 by 18

• Divide 18 by 12

• Multiply 18 by 12

What is the correct scale factor when enlarging a figure from 12 to 18?

• 0.66

• 1.5

• 3

• 2

What is the reciprocal of a scale factor of 3?

• 2/3

• 3

• 1/2

• 1/3

If the scale factor from A to B is 1/2, what is the scale factor from B to A?

• 1/2

• 2

• 1

• 1/4

What does a reciprocal scale factor indicate about the relationship between two figures?

• They are inverses of each other

• They are identical

• One is an enlargement of the other

• One is a reduction of the other