Scale Drawings and Proportionality

Mrs. Zia's Lesson 12 focuses on understanding scale factors as a percent in scale drawings. Students learn to create scale drawings using given scale factors, recognize proportional relationships, and calculate actual lengths and areas. The lesson builds on previous modules, emphasizing the connection between percent change and rescaling figures. Practical exercises include creating scale drawings with different horizontal and vertical scales, and understanding the significance of scale factors in terms of reduction and enlargement.

What is the constant of proportionality in the context of scale drawings?

• The original size of the drawing

• The scale factor

• The difference between the original and the scale drawing

• The area of the scale drawing

How do you determine if a scale drawing is a reduction?

• The scale factor is greater than 100%

• The scale factor is less than 100%

• The scale factor is not given

• The scale factor is exactly 100%

What is the scale factor if the original length is 4 units and the scale drawing length is 2 units?

• 100%

• 150%

• 50%

• 200%

In the snowman example, what is the scale factor used to create the head?

• 50%

• 100%

• 75%

• 125%

What happens to a drawing when the scale factor is exactly 100%?

• It becomes distorted

• It remains the same size

• It becomes an enlargement

• It becomes a reduction

How do you calculate the new length in a scale drawing?

• Divide the original length by the scale factor

• Multiply the original length by the scale factor

• Subtract the scale factor from the original length

• Add the scale factor to the original length

What is the effect of having different horizontal and vertical scale factors?

• The drawing becomes a perfect square

• The drawing becomes distorted

• The drawing becomes a perfect circle

• The drawing remains unchanged

If a scale drawing has a horizontal scale factor of 50% and a vertical scale factor of 25%, what happens to the drawing?

• It remains the same

• It becomes larger

• It becomes distorted

• It becomes smaller

What is the new width if the original width is 6 units and the horizontal scale factor is 183%?

• 6 units

• 3 units

• 11 units

• 18 units

How are the corresponding lengths in a scale drawing and an original drawing related?

• They are equal

• They are unrelated

• They are proportional

• They are inversely proportional