Mathematics - Junior Secondary 2 - Scale drawing of length and distances

Scale drawing of length and distances

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TERM: 2ND TERM

WEEK 6

Class: Junior Secondary School 2
Age: 13 years
Duration: 40 minutes of 5 periods
Subject: Mathematics
Topic: Scale Drawing of Length and Distances
Focus: Understanding and using scale drawings

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

  1. Define scale drawing and its importance.
  2. State the purpose of using scale in drawing.
  3. Demonstrate how to use scale for real measurements.
  4. Represent measurements on plain paper or cardboard.

INSTRUCTIONAL TECHNIQUES:
• Guided demonstration
• Practical exercises
• Real-life applications
• Visual aids (e.g., rulers, scale charts)
• Group work for hands-on activities

INSTRUCTIONAL MATERIALS:
• Rulers and measuring tapes
• Scale drawing charts
• Plain paper or cardboard
• Whiteboard and marker
• Worksheets with scale drawing problems

 

PERIOD 1 & 2: Introduction to Scale Drawing

PRESENTATION:

Step

Teacher’s Activity

Pupil’s Activity

Step 1 - Introduction

Introduces scale drawing and its importance in real-life contexts like maps and blueprints.

Pupils listen and ask questions.

Step 2 - Explanation

Explains the concept of scale, showing examples (e.g., 1:100, 1:1000).

Pupils follow along and take notes.

Step 3 - Demonstration

Demonstrates how to draw objects to scale using a ruler and measuring tape.

Pupils watch and practice drawing to scale.

Step 4 - Practice

Pupils practice creating their own scale drawings.

Pupils work individually or in groups.

EVALUATION (5 exercises):

  1. What does the scale 1:100 mean?
  2. Draw a rectangle to scale: 1 cm = 5 meters.
  3. Write the scale for a map of a city where 1 cm = 100 meters.
  4. How do you use a ruler to create a scale drawing?
  5. What is the difference between a large scale and a small scale in drawing?

CLASSWORK (5 questions):

  1. Define scale drawing.
  2. Draw a square with a side length of 5 cm using a scale of 1 cm = 1 meter.
  3. Write a scale for a map where 1 cm = 10 kilometers.
  4. How would you scale down the dimensions of a building to fit on a sheet of paper?
  5. Identify where scale drawings are used in real life.

ASSIGNMENT (5 tasks):

  1. Draw a room to scale where 1 cm = 1 meter.
  2. Scale down the dimensions of a car to fit on paper.
  3. Create a scale map of your classroom.
  4. Describe how scale drawings are used in architecture.
  5. Find a real-life example of a map that uses scale.

 

PERIOD 3 & 4: Using Scale for Measurement and Representation

PRESENTATION:

Step

Teacher’s Activity

Pupil’s Activity

Step 1 - Introduction

Reviews scale drawings and their importance in representing real measurements.

Pupils review and ask questions.

Step 2 - Explanation

Demonstrates how to use a scale to measure and draw objects accurately.

Pupils watch and practice along.

Step 3 - Demonstration

Shows a step-by-step process for drawing a scale model.

Pupils take notes and practice the steps.

Step 4 - Practice

Pupils work on creating their own scale drawings with real measurements.

Pupils complete the task individually.

EVALUATION (5 exercises):

  1. What is the purpose of using a scale in drawings?
  2. Draw an object to scale with dimensions 10 cm by 5 cm, using a scale of 1:10.
  3. How would you draw a road map to scale?
  4. Convert a 15-meter-long building into a scale drawing at 1:100.
  5. How would you represent the distance between two cities on a map to scale?

CLASSWORK (5 questions):

  1. Draw a square with a scale of 1 cm = 1 meter.
  2. Create a map of your school using a scale of 1:50.
  3. Identify how to convert real-life measurements into scale.
  4. Draw a triangle with side lengths of 4 cm, 6 cm, and 8 cm using a scale of 1:5.
  5. Explain the importance of accurate scale measurements.

ASSIGNMENT (5 tasks):

  1. Create a scale drawing of your house.
  2. Draw a building plan using a scale of 1 cm = 1 meter.
  3. Scale down the dimensions of a swimming pool to fit on paper.
  4. Draw a simple scale model of a car.
  5. Explain how scale is used in engineering and design.

 

PERIOD 5: Real-life Applications of Scale Drawing

PRESENTATION:

Step

Teacher’s Activity

Pupil’s Activity

Step 1 - Introduction

Introduces real-life applications of scale drawings in fields like architecture, engineering, and cartography.

Pupils listen and ask questions.

Step 2 - Examples

Discusses examples like maps, blueprints, and product designs.

Pupils listen and engage

Step 3 - Practical Application

Pupils work on creating real-life scale drawings from provided examples.

Pupils work in groups or individually.

Step 4 - Practice

Students draw maps, floor plans, or models using scale.

Pupils present their work and discuss their findings.

EVALUATION (5 exercises):

  1. Name a profession that frequently uses scale drawings.
  2. Describe how scale is used in map-making.
  3. Draw a floor plan for a classroom to scale.
  4. Identify the scale used in a city map.
  5. How is scale important in product design?

CLASSWORK (5 questions):

  1. Create a scale drawing of a garden with dimensions given.
  2. Draw a scale model of a door with specific measurements.
  3. Describe how scale helps in blueprint creation.
  4. Write the scale used in the plan of a house.
  5. Name a product that is designed using scale drawings.

ASSIGNMENT (5 tasks):

  1. Create a map of your local area to scale.
  2. Draw a product design using scale measurements.
  3. Write about how scale is used in designing a car.
  4. Explain how an engineer uses scale to build models.

Draw a scale diagram of a stadium layout.