Understanding Scale Factors and Reciprocals

This video tutorial covers Unit 1 Lesson 5 on scale factors, focusing on understanding and explaining how scale factors of 1, less than 1, and greater than 1 affect the size of copies. It includes a warm-up activity on reciprocal fractions, an activity on scaling figures, and examples of scale factors in different figures. The lesson concludes with a summary of key concepts and a reminder of the learning objectives.

What happens to a figure when a scale factor greater than 1 is applied?

• The figure disappears.

• The figure becomes larger.

• The figure remains the same size.

• The figure becomes smaller.

What is the result of multiplying a fraction by its reciprocal?

• One

• The original fraction

• Zero

• A larger fraction

If a figure is scaled by a factor of 1/2, what happens to its size?

• It triples in size.

• It halves in size.

• It remains the same.

• It doubles in size.

How do you determine the scale factor between two figures?

• By adding the side lengths

• By comparing the areas

• By comparing corresponding side lengths

• By measuring the angles

What is the reciprocal of a scale factor of 3?

• 9

• 3

• 1/3

• 1

If a triangle's original side is 5 units and the copy's side is 1 unit, what is the scale factor?

• 5

• 10

• 1/5

• 1

What scale factor would you use to keep a figure the same size?

• 0

• 1

• 1/2

• 2

If a figure is scaled by a factor of 2, what happens to its size?

• It triples in size.

• It doubles in size.

• It halves in size.

• It remains the same.

What is the effect of a scale factor less than 1 on a figure?

• The figure remains the same size.

• The figure becomes larger.

• The figure becomes smaller.

• The figure disappears.

How do you find the scale factor from a larger figure to a smaller one?

• Add the side lengths of both figures

• Use the reciprocal of the scale factor from smaller to larger

• Subtract the smaller figure's side from the larger one

• Multiply the larger figure's side by 2