Creating a Scaled Copy Using a Scale Factor
Creating a Scaled Copy Using a Scale Factor is a Grade 7 math skill in Illustrative Mathematics, Chapter 1: Scale Drawings. Students multiply each length of the original figure by the scale factor to create an accurate scaled copy that preserves all angles and proportions.
Key Concepts
To find the length of a side in a scaled copy, multiply the length of the corresponding side in the original figure by the scale factor ($k$).
$$ \text{New Side Length} = \text{Original Side Length} \times k $$.
Common Questions
How do you create a scaled copy using a scale factor?
Multiply each length of the original figure by the scale factor. A scale factor greater than 1 enlarges the figure; a scale factor less than 1 reduces it.
What properties are preserved in a scaled copy?
Scaled copies preserve all angle measures and keep all corresponding lengths in the same ratio (the scale factor). The shape is the same but the size differs.
What is an example of creating a scaled copy?
A triangle with sides 3, 4, and 5 cm scaled by a factor of 2 produces a triangle with sides 6, 8, and 10 cm, with identical angle measures.
What happens when the scale factor is between 0 and 1?
A scale factor between 0 and 1 reduces the figure. For example, a scale factor of 1/2 produces a copy with all dimensions half the original size.
What chapter covers scaled copies in Illustrative Mathematics Grade 7?
Creating scaled copies using a scale factor is covered in Chapter 1: Scale Drawings in Illustrative Mathematics Grade 7.