Mathematics - Junior Secondary 1 - Construction

Construction

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TERM: 3RD TERM

WEEK 8
Class: Junior Secondary School 1
Age: 12 years
Duration: 40 minutes of 5 periods
Subject: Mathematics
Topic: Construction
Focus: Construction of Parallel and Perpendicular Lines, Bisection of a Given Line Segment, Construction of Angles 90° and 60°

SPECIFIC OBJECTIVES:

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

  1. Construct parallel and perpendicular lines.
  2. Bisect a given line segment accurately.
  3. Construct angles of 90° and 60° using a compass and ruler.

INSTRUCTIONAL TECHNIQUES:

  • Guided demonstration
  • Hands-on activity
  • Problem-solving exercises
  • Drills

INSTRUCTIONAL MATERIALS:

  • Ruler
  • Compass
  • Protractor
  • Whiteboard and marker
  • Worksheets

 

PERIOD 1 & 2: Construction of Parallel and Perpendicular Lines

PRESENTATION:

Step

Teacher’s Activity

Pupil’s Activity

Step 1 - Introduction

Introduces parallel and perpendicular lines and their properties.

Pupils listen and ask questions.

Step 2 - Explanation

Demonstrates how to construct parallel lines using a ruler and compass.

Pupils observe and practice the construction of parallel lines.

Step 3 - Demonstration

Shows how to construct perpendicular lines at a given point.

Pupils practice constructing perpendicular lines.

Step 4 - Practice

Pupils work on constructing parallel and perpendicular lines with guidance.

Pupils construct lines on their own.

EVALUATION (5 exercises):

  1. Define parallel lines.
  2. Define perpendicular lines.
  3. Construct a perpendicular line to a given line.
  4. Construct two parallel lines.
  5. Explain the difference between parallel and perpendicular lines.

CLASSWORK (5 tasks):

  1. Construct two parallel lines using a ruler and compass.
  2. Construct a perpendicular line from a point on a given line.
  3. Draw a set of parallel lines and label them.
  4. Identify parallel and perpendicular lines in a diagram.
  5. Write the properties of parallel and perpendicular lines.

ASSIGNMENT (5 tasks):

  1. Draw a set of parallel lines using a compass.
  2. Construct a perpendicular line from a given point.
  3. Explain how parallel lines are used in construction.
  4. Identify the parallel lines in a building structure.
  5. Construct two perpendicular lines from a given point.

 

PERIOD 3 & 4: Bisection of a Given Line Segment

PRESENTATION:

Step

Teacher’s Activity

Pupil’s Activity

Step 1 – Introduction

Introduces the concept of bisecting a line segment.

Pupils listen and ask questions.

Step 2 – Explanation

Demonstrates how to bisect a line segment using a compass.

Pupils observe the process and ask questions.

Step 3 – Demonstration

Shows how to measure and mark the midpoint of a line segment.

Pupils practice bisecting a line segment.

Step 4 – Practice

Pupils practice bisecting multiple line segments with guidance.

Pupils bisect line segments on their own.

EVALUATION (5 exercises):

  1. What does it mean to bisect a line segment?
  2. How do you find the midpoint of a line segment?
  3. Bisect a given line segment of length 10cm.
  4. Bisect a line segment of 7.5cm.
  5. What tools are needed to bisect a line segment?

CLASSWORK (5 tasks):

  1. Bisect a line segment of 8cm.
  2. Draw a line segment and find its midpoint.
  3. Bisect a line segment of 12cm.
  4. Measure the midpoint of a 5cm line segment.
  5. Bisect a line segment of 4.5cm.

ASSIGNMENT (5 tasks):

  1. Bisect a line segment of 6cm.
  2. Draw a line segment and mark its midpoint.
  3. Bisect a line segment of 9cm.
  4. Identify the midpoint of a 15cm line segment.
  5. Use a compass to bisect a line segment.

 

PERIOD 5: Construction of Angles 90° and 60°

PRESENTATION:

Step

Teacher’s Activity

Pupil’s Activity

Step 1 - Introduction

Introduces the construction of specific angles using a compass and ruler.

Pupils listen and observe.

Step 2 - Explanation

Demonstrates how to construct 90° and 60° angles.

Pupils observe the construction steps.

Step 3 - Demonstration

Shows how to construct a 90° and 60° angle using the compass.

Pupils practice constructing 90° and 60° angles.

Step 4 - Practice

Pupils work independently to construct 90° and 60° angles.

Pupils construct the angles using tools.

EVALUATION (5 exercises):

  1. How do you construct a 90° angle?
  2. What tool do you use to measure a 60° angle?
  3. Construct a 90° angle.
  4. Construct a 60° angle.
  5. Explain the process of constructing 90° and 60° angles.

CLASSWORK (5 tasks):

  1. Construct a 90° angle.
  2. Construct a 60° angle.
  3. Draw a 90° angle using a protractor.
  4. Draw a 60° angle using a compass.
  5. Identify the angles in a given diagram and classify them.

ASSIGNMENT (5 tasks):

  1. Construct a 90° angle using a compass.
  2. Draw a 60° angle using a protractor.
  3. Construct an angle of 120° using a compass.
  4. Label the angles in a given diagram.

Construct a 45° angle using a protractor.