MA19.7.17
Solve problems involving scale drawings of geometric figures, including computation of actual lengths and areas from a scale drawing and reproduction of a scale drawing at a different scale.
Solve problems involving scale drawings of geometric figures, including computation of actual lengths and areas from a scale drawing and reproduction of a scale drawing at a different scale.
Unpacked Content
UP:MA19.7.17
Vocabulary
- Scale drawing
- Reproduction
- Scale factor
Knowledge
Students know:
- how to calculate actual measures such as area and perimeter from a scale drawing.
- Scale factor impacts the length of line segments, but it does not change the angle measurements.
- There is a proportional relationship between the corresponding sides of similar figures.
- A proportion can be set up using the appropriate corresponding side lengths of two similar figures.
- If a side length is unknown, a proportion can be solved to determine the measure of it.
Skills
Students are able to:
- find missing lengths on a scale drawing.
- Use scale factors to compute actual lengths, perimeters, and areas in scale drawings.
- Use a scale factor to reproduce a scale drawing at a different scale.
Understanding
Students understand that:
- scale factor can enlarge or reduce the size of a figure.
- Scale drawings are proportional relationships.
- Applying a scale factor less than one will shrink a figure.
- Applying a scale factors greater than one will enlarge a figure.
