Actual Lengths and Areas from Scale Drawings

Free to teach as-is — the teacher guide, student handout, and slides are included.

Free — we'll email you an access link. Google Docs format.

Objective

I can compute actual lengths and areas from a scale drawing.

Part 1 of 4

Warm-up video

Khan Academy · 3:33Vetted channel

We don't generate video — this one is by Khan Academy on YouTube. The practice questions and exit ticket below were drafted by AI for this objective, and every question is editable in the teacher guide.

Part 2 of 4

Key concepts

3 concepts

  1. 1

    A blueprint drawing is a scale drawing of something in the real world, such as a house.

  2. 2

    If a scale shows that 10 cm on a blueprint represents 2 meters, then 18 cm on the blueprint would represent 3.6 meters in the real world.

  3. 3

    To find the actual height of an object from a scale drawing, you can multiply the real-world measurement by the ratio of the drawing units to the actual units, as seen when 2 units representing 6 cm means 16 units represent 48 cm.

Part 3 of 4

Practice

11 questions

1

What is the primary purpose of a scale drawing, such as a blueprint or a map?

2

A model airplane is built with a scale where 1 inch on the model represents 4 feet in real life. If the wingspan of the model is 12 inches, what is the actual wingspan of the airplane in feet?

Part 4 of 4

Exit ticket

Quick comprehension check

A blueprint of a park shows that 4 cm represents 8 meters in actual length. If a path on the blueprint is 15 cm long, what is the actual length of the path in meters? Show your work.

Sample answer included in the free materials

Get the materials

Teacher guide, student handout, and slides — free, in Google Docs format

  • Teacher Guide

    Complete lesson plan with answer keys and alternate activities

  • Student Handout

    Printable worksheet

  • Slides

    Ready to present

We'll ask for your email to send your access link — nothing else.

Teaching a group at a different level?

Where are your students right now? We'll rebuild this lesson to match — including the teacher guide, student handout, and slides, saved to your Google Drive.

Adapt This Lesson