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Scale Drawings: Maps, Models & Blueprints

Seventh graders learn how scale drawings — maps, blueprints, and models — use a scale to shrink or enlarge real objects proportionally, and how to convert between drawing measurements and real ones.

Grade 7Geometry50 minutes1 class periodGradual ReleaseExplicit teaching4 StandardsCommon Core
Start the Lesson
Lesson at a Glance

Everything you need before the bell rings

Learning Objectives

Students will be able to…

  • ✓Explain a scale.
  • ✓Use a scale to find real lengths.
  • ✓Use a scale to find drawing lengths.
  • ✓Solve scale problems.
Essential Question

A map fits a whole city on one page, and a blueprint shrinks a house to fit on paper. How does a scale let a drawing represent something much bigger — accurately?

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Lesson Phases
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Vocabulary Terms
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Standards Aligned
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Interactive Task
Model · Interactive Tool

Scale It

Project each item and have students use the scale to find the real (or drawing) measurement. The tool explains scale factors.

🗺️ Use the scale to find the real sizeTry it
Use the scale to solve each problem.
The Lesson · Gradual Release (I Do · We Do · You Do)

50 minutes, five moves

Tap any phase to open the teacher moves and student actions.

1

Launch — A Whole City on a Page

5 min

How does a map fit a whole city onto one page?

👩‍🏫 Teacher Moves

  • Show a map or blueprint.
  • Ask how it represents real size.
  • Set the goal: scale drawings.

🎒 Student Actions

  • Look at the map.
  • Wonder how.
  • Predict the idea.
2

I Do — Using a Scale

10 min

Teacher models.

👩‍🏫 Teacher Moves

  • Read the scale (1 cm = 5 m).
  • Convert drawing to real.
  • Convert real to drawing.

🎒 Student Actions

  • Read the scale.
  • Find real size.
  • Find drawing size.
3

We Do — Scale Together

13 min

Class uses Scale It.

👩‍🏫 Teacher Moves

  • Use the scale to solve.
  • Set up a proportion.
  • Explain the conversion.

🎒 Student Actions

  • Use the scale.
  • Set up a ratio.
  • Explain it.
4

You Do — On Your Own

12 min

Students solve.

👩‍🏫 Teacher Moves

  • Find real lengths from a drawing.
  • Find drawing lengths.
  • Solve scale problems.

🎒 Student Actions

  • Find real.
  • Find drawing.
  • Solve them.
5

Close — Close

5 min

One scale problem.

👩‍🏫 Teacher Moves

  • Give a scale problem.
  • Solve it.
  • Hand out the exit ticket.

🎒 Student Actions

  • Solve it.
  • Explain it.
  • Complete the exit ticket.
Standards Alignment

Built to the standards you report on

Aligned to the Common Core State Standards for Mathematics.

CCSS
7.G.1

Solve problems involving scale drawings of geometric figures.

CCSS
7.RP.2

Recognize and represent proportional relationships.

CCSS
7.G.1

Compute actual lengths and areas from a scale drawing.

SMP
MP.4

Model real objects with scale drawings.

Differentiation

One lesson, every learner

Multilingual Learners

ELL / EMERGING READERS
  • Show a labeled map/blueprint.
  • Sentence frame: “1 ___ stands for ___.”
  • Use a scale ruler.

Support & Access

IEP / 504
  • Start with 1-to-10 scales.
  • Use whole-number scales.
  • Multiply step by step.

Stretch & Extend

GIFTED / EARLY FINISHERS
  • Find scale areas.
  • Create a scale drawing.
  • Work with reduction and enlargement.
Materials

What to gather

  • 📽️Projector / board
  • 🗺️Maps and blueprints
  • 💻Scale It
  • 📏Rulers
  • 🧮Calculators
  • 🎫Exit-ticket slips
Vocabulary

Key terms — hover for a quick definition

scale drawinga drawing that represents a real objectscalethe ratio of drawing to real sizescale factorthe number that scales the drawingproportionalchanging at the same rateratioa comparison of two amountsactualthe real sizeblueprinta scale drawing of a buildingenlargeto make bigger
Evaluate

Exit Ticket

Preview the three formative checks. Tap “Sample answer” to see what mastery looks like — hide them before you print for students.

QUESTION 1
A scale is 1 inch = 8 feet. A room is 3 inches on the drawing. How wide is the real room?
24 feet.
QUESTION 2
What does the scale on a map tell you?
How a distance on the map relates to the real distance.
QUESTION 3
If a scale is 1 cm = 2 m, how long in the drawing is a real 10 m wall?
5 cm.

Going deeper? Scale areas.

Have students discover that when lengths scale by a factor, areas scale by the factor SQUARED. A printable scale-drawing sheet is in the Math library.

Study · Flashcards

Study the key terms

Tap a card to flip it, then rate whether you knew it. Built from this lesson’s vocabulary.

🃏 Scale DrawingsFlip
Card 1
Term
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Meaning
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Practice · Quiz

Check your understanding

A quick self-check with instant feedback, drawn from this lesson’s key terms.

📝 Scale DrawingsQuiz
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Question 1
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Practice · Worksheet

Printable worksheet

A print-and-go review sheet with a built-in answer key. Tap “Show answer key” to reveal answers, or print the clean version for students.

🖨️ Scale DrawingsPrint
Name: ________________________
Date: ____________

Part A · Write the word that matches each meaning

Word bank: actual, blueprint, enlarge, proportional, ratio, scale, scale drawing, scale factor
  1. a drawing that represents a real object
  2. to make bigger
  3. changing at the same rate
  4. a scale drawing of a building
  5. the number that scales the drawing
  6. the ratio of drawing to real size
  7. a comparison of two amounts
  8. the real size

Part B · Show what you learned

  1. A scale is 1 inch = 8 feet. A room is 3 inches on the drawing. How wide is the real room?
  2. What does the scale on a map tell you?
  3. If a scale is 1 cm = 2 m, how long in the drawing is a real 10 m wall?
Answer key — Part A: 1) scale drawing · 2) enlarge · 3) proportional · 4) blueprint · 5) scale factor · 6) scale · 7) ratio · 8) actual
Part B: 1) 24 feet. 2) How a distance on the map relates to the real distance. 3) 5 cm.