Scale Drawings
Grade 7 · Math · Proportional Relationships · Hawaii, USA
Lesson Summary
Use scale factors to find real-life measurements from maps, blueprints, and models.
Explanation
A scale drawing is a smaller or larger version of a real object where every length is multiplied by the same scale factor. For example, if a map uses a scale of 1 cm = 50 km, then 3 cm on the map equals 150 km in real life. To find real measurements, set up a proportion using the scale. Scale drawings are used in architecture, engineering, and everyday navigation.
Practice Questions
Q1: On a map, 1 inch represents 20 miles. Two cities are 3.5 inches apart on the map. What is the actual distance?
Answer: 3.5 × 20 = 70 miles.
Q2: A blueprint uses a scale of 1 cm = 2 m. A room is 6 cm long on the blueprint. How long is the real room?
Answer: 6 × 2 = 12 meters.
Q3: A model car is built at a 1:24 scale. The model is 8 inches long. How long is the real car?
Answer: 8 × 24 = 192 inches, which is 16 feet.
People Also Ask
What is Scale Drawings in Grade 7 Math?+
Scale Drawings is a lesson in the Proportional Relationships chapter of Grade 7 Math. It is part of the Hawaii, USA school curriculum and covers key concepts that students need to understand at this level.
What grade level covers Scale Drawings?+
Scale Drawings is taught in Grade 7 as part of the Math curriculum in Hawaii, USA.
How can I help my child with Proportional Relationships in Math?+
Start with the lesson summary and explanation on this page. Practice the questions provided, then use TutorTom for personalized, step-by-step help with Proportional Relationships topics.