Solve problems involving scale drawings of geometric figures, including computing actual lengths and areas from a scale drawing and reproducing a scale drawing at a different scale.
In plain words: Students use a scale drawing to find actual lengths and areas, and redraw a figure at a different scale.
Quick picks
Example problem- Assign problem on Goblins →A scale on a map shows that 3 centimeters represents 10 kilometers.
What number of centimeters on the map represents an actual distance of 25 kilometers? - Common mistake
- Scaling area by the scale factor instead of its square: at 1 cm to 2 m, a 3 cm by 4 cm room is 48 m², not 24 m².
- Leads to
- 8.G.A.4Similar figures
Example Problems
A scale on a hiking map shows that 3 inches represents 1.25 miles.
What number of inches on the map represent 10 actual miles?
What number of inches on the map represent 10 actual miles?
A scale on a map shows that 3 centimeters represents 10 kilometers.
What number of centimeters on the map represents an actual distance of 25 kilometers?
What number of centimeters on the map represents an actual distance of 25 kilometers?
A scale on a hiking map shows that 1.5 inches represents 4 miles.
What number of actual miles are represented by 6 inches on the map?
What number of actual miles are represented by 6 inches on the map?
Khan Academy ResourcesScale drawing word problemsCorresponding sides and pointsIdentify scale factor in scale drawingsExplore scale copiesRelate scale drawings to areaInterpret scale factor in scale drawingsConstruct scale drawingsScale copiesScale drawingsIdentify scale copiesInterpreting a scale drawingScale factors and areaIdentifying scale copiesSolving a scale drawing word problemIdentifying scale factorsExploring scale copiesScale drawing: centimeters to kilometersIdentifying values in scale copiesMaking a scale drawingCorresponding points and sides of scaled shapes
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