Scale Drawing Mastering Scale Drawings: Objects, Maps, and Distances Mathematics Primary 6 First Term Lesson Notes Week 9

Lesson Plan for Week 9

Subject: Mathematics
Class: Primary 6
Term: First Term
Week: 9
Age: 11 years
Topic: Scale Drawing
Sub-Topic: Objects, Maps, Distance
Duration: 60 minutes

Behavioral Objectives

By the end of the lesson, pupils should be able to:

1. Draw plane shapes according to a given scale.
2. Apply and use scale drawings to convert lengths and distances of objects in their environment using a given scale.
3. Interpret and solve real-life problems involving scale drawings.

Keywords

• Scale Drawing
• Plane Shapes
• Maps
• Distance
• Proportions
• Conversion

Set Induction

Begin with a discussion on how maps and models use scales to represent real objects and distances. Show examples of maps and model buildings.

Entry Behavior

Pupils should be familiar with basic geometric shapes and measurement units.

Learning Resources and Materials

• Graph paper
• Rulers
• Examples of maps and scale drawings
• Visual aids showing objects and their scale drawings

Building Background/Connection to Prior Knowledge

Relate the concept of scale drawings to previous lessons on measurement and geometry. Discuss how scale drawings are used in everyday life, such as in maps and architectural plans.

Embedded Core Skills

• Spatial Awareness
• Measurement
• Problem-Solving

Learning Materials

• Lagos State Scheme of Work
• Graph paper
• Rulers
• Visual aids (maps, drawings)

Reference Books

• Lagos State Scheme of Work
• New General Mathematics for Primary Schools

Instructional Materials

• Whiteboard/Chalkboard
• Markers/Chalk
• Scale drawing examples

Content

1. Introduction to Scale Drawing
   • Definition: A scale drawing represents an object or distance in a proportionate size.
   • Examples: Maps, blueprints, and model buildings.
2. Drawing Plane Shapes
   • Step-by-Step Example:
     • Given a scale of 1 cm = 5 m, draw a rectangle with dimensions 10 m by 15 m.
       • Solution:
         • 10 m = 2 cm
         • 15 m = 3 cm
       • Draw a rectangle measuring 2 cm by 3 cm on graph paper.
3. Applying and Using Scale Drawings
   • Conversion:
     • Given a scale of 1:100, convert a real-life distance of 250 meters into the drawing.
       • Solution:
         • 250 m / 100 = 2.5 cm
       • Draw the distance as 2.5 cm on the scale drawing.
4. Interpreting Scale Drawings
   • Example Problem:
     • If a model car is drawn with a scale of 1:20 and the model is 5 cm long, what is the actual length of the car?
       • Solution: 5 cm × 20 = 100 cm or 1 meter.
5. Real-Life Problems
   • Example: You have a map with a scale of 1 cm = 10 km. If the distance between two cities on the map is 7 cm, how far apart are the cities in reality?
     • Solution: 7 cm × 10 km = 70 km

15 Fill-in-the-Blank Questions with Options

1. The scale of a map is 1:50. If a building is drawn as 4 cm tall on the map, the actual height of the building is _______ cm.
   a) 200
   b) 400
   c) 50
   d) 100
2. On a scale drawing with a ratio of 1:10, a distance of 12 cm represents _______ meters.
   a) 1.2
   b) 12
   c) 120
   d) 1200
3. A rectangle on a scale drawing with a scale of 1:25 measures 3 cm by 4 cm. The actual size is _______ meters by _______ meters.
   a) 75 by 100
   b) 300 by 400
   c) 15 by 20
   d) 60 by 80
4. The scale of a model car is 1:15. If the model car is 6 cm long, the actual car length is _______ cm.
   a) 90
   b) 6
   c) 15
   d) 60
5. To convert a distance of 5 cm on a scale drawing with a ratio of 1:100 into real distance, you would get _______ meters.
   a) 0.5
   b) 50
   c) 500
   d) 5
6. The scale of a map is 1:2000. A distance of 8 cm on the map represents _______ meters.
   a) 80
   b) 160
   c) 800
   d) 1600
7. If the scale of a drawing is 1:5, then a length of 10 cm on the drawing is equal to _______ cm in reality.
   a) 2
   b) 50
   c) 5
   d) 10
8. On a scale drawing of 1:50, a distance of 9 cm represents a real distance of _______ meters.
   a) 90
   b) 45
   c) 450
   d) 18
9. For a model with a scale of 1:25, if the model is 3 cm tall, the actual height is _______ cm.
   a) 75
   b) 15
   c) 6
   d) 25
10. If a scale is 1:100, a length of 4 cm on the drawing equals _______ meters in reality.
    a) 40
    b) 4
    c) 400
    d) 0.4
11. A map with a scale of 1:500 shows a distance of 6 cm between two points. The real distance is _______ meters.
    a) 60
    b) 600
    c) 30
    d) 0.6
12. On a drawing with a scale of 1:10, a length of 8 cm represents _______ meters.
    a) 80
    b) 8
    c) 800
    d) 8
13. The scale of a blueprint is 1:100. A length of 7 cm on the blueprint represents _______ meters in reality.
    a) 700
    b) 70
    c) 7
    d) 7000
14. A house is drawn with a scale of 1:50 and measures 5 cm on the drawing. The actual house is _______ meters long.
    a) 2.5
    b) 250
    c) 50
    d) 500
15. If a model with a scale of 1:10 is 10 cm long, the real length is _______ cm.
    a) 100
    b) 10
    c) 1
    d) 1000

10 FAQs with Answers

1. Q: What is a scale drawing?
   A: A scale drawing represents an object or distance in a proportionate size, often used in maps and blueprints.
2. Q: How do you use a scale to measure real distances?
   A: Multiply the length on the drawing by the scale factor to get the real distance.
3. Q: What does a scale ratio like 1:100 mean?
   A: It means 1 unit on the drawing represents 100 units in reality.
4. Q: How can you convert a drawing measurement to real life?
   A: Use the scale ratio to multiply the drawing measurement to find the real measurement.
5. Q: Why are scale drawings important?
   A: They help represent large objects or distances in a manageable size, such as in maps and architectural plans.
6. Q: How do you interpret a map with a scale of 1:5000?
   A: Each unit on the map represents 5000 units in reality.
7. Q: Can you convert real measurements to scale drawings?
   A: Yes, by dividing the real measurement by the scale ratio.
8. Q: What is the first step in drawing to scale?
   A: Determine the scale ratio and apply it to the measurements of the object.
9. Q: How do you solve real-life problems involving scale drawings?
   A: Convert measurements between the drawing and real life using the scale.
10. Q: What tools are helpful for creating scale drawings?
    A: Graph paper, rulers, and scale charts are useful for accurate scale drawings.

10 Evaluation Questions

1. Draw a rectangle with a scale of 1:20. If the rectangle is 3 cm by 4 cm on the drawing, what are the real dimensions?
2. A map scale is 1:1000. If the distance on the map is 5 cm, what is the real-life distance in meters?
3. Solve the problem: A model with a scale of 1:50 is 10 cm long. What is the actual length of the object?
4. Convert a real-life distance of 120 meters to a scale drawing with a ratio of 1:100.
5. If a scale drawing measures 8 cm by 6 cm and the scale is 1:10, what are the actual dimensions?
6. The scale of a blueprint is 1:200. If the blueprint shows a length of 7 cm, what is the real length in meters?
7. Draw a circle with a diameter of 10 cm on a scale of 1:25. What is the real diameter of the circle?
8. A drawing with a scale of 1:500 shows a distance of 2 cm. What is the real distance in kilometers?
9. Solve: A map with a scale of 1:2000 shows a road length of 15 cm. What is the actual road length?
10. If a scale drawing is 5 cm by 3 cm and the scale is 1:50, what are the real-life dimensions of the object?

This Week 9 lesson plan for Primary 6 explores scale drawings, including objects, maps, and distances. Learn to draw accurately, apply scale conversions, and solve real-life problems.