Scale Drawings and Scale Factors

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 knowledge from module one, emphasizing the connection between percent change and rescaling figures. Practical exercises include creating scale drawings with different horizontal and vertical scale factors, understanding reductions and enlargements, and applying these concepts to real-world scenarios.

What is the role of a scale factor in a scale drawing?

• It determines the color of the drawing.

• It is the constant of proportionality between the original and the scaled drawing.

• It is used to calculate the area of the drawing.

• It defines the shape of the drawing.

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

• The scale factor is greater than 100%.

• The scale factor is not used.

• The scale factor is exactly 100%.

• The scale factor is less than 100%.

In a scale drawing, if the original length is 4 units and the scaled length is 2 units, what is the scale factor?

• 25%

• 200%

• 100%

• 50%

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

• The figure disappears.

• The figure remains the same size.

• The figure is reduced.

• The figure is enlarged.

If a snowman's head is 75% of the middle section, what type of scale drawing is this?

• Enlargement

• Original

• Reduction

• Distortion

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

• Divide the original length by the scale factor.

• Add the scale factor to the original length.

• Multiply the original length by the scale factor.

• Subtract the scale factor from the original length.

What is the significance of a scale factor greater than 100%?

• It indicates a reduction.

• It indicates an enlargement.

• It indicates no change.

• It indicates a distortion.

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

• The drawing becomes colorful.

• The drawing remains unchanged.

• The drawing becomes distorted.

• The drawing becomes smaller.

In a scale drawing, if the horizontal scale factor is 50% and the vertical scale factor is 25%, what is the result?

• The drawing is enlarged.

• The drawing is reduced.

• The drawing is distorted.

• The drawing is unchanged.

What is the relationship between scale factor and constant of proportionality?

• Scale factor is the constant of proportionality.

• Constant of proportionality is twice the scale factor.

• They are unrelated.

• Scale factor is half the constant of proportionality.