Mathematics - Junior Secondary 1 - Angles identification and properties

Angles identification and properties

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TERM: 3RD TERM

WEEK 6
Class: Junior Secondary School 1
Age: 12 years
Duration: 40 minutes of 5 periods
Subject: Mathematics
Topic: Angles Identification and Properties
Focus: Vertically opposite angles, Adjacent angles, Alternate angles, Corresponding angles

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

  1. Identify and describe the properties of vertically opposite angles.
  2. Identify and describe the properties of adjacent angles.
  3. Understand alternate angles and corresponding angles.
  4. Solve problems using angle properties.
  5. Apply the knowledge of angles in geometric reasoning.

INSTRUCTIONAL TECHNIQUES:

  • Interactive discussion
  • Guided practice
  • Demonstration
  • Problem-solving activities

INSTRUCTIONAL MATERIALS:

  • Protractors
  • Whiteboard and markers
  • Printed angle diagrams
  • Ruler and compasses

 

PERIOD 1 & 2: Vertically Opposite Angles

PRESENTATION:

Step

Teacher’s Activity

Pupil’s Activity

Step 1 - Introduction

Introduces vertically opposite angles. Draws example on the board.

Pupils listen and observe the drawing.

Step 2 - Explanation

Explains that vertically opposite angles are equal.

Pupils observe and take notes.

Step 3 - Demonstration

Draws lines intersecting and labels vertically opposite angles.

Pupils identify and measure the angles with a protractor.

Step 4 - Note Taking

Writes key points about vertically opposite angles.

Pupils copy the notes

on the board. |

NOTE ON BOARD:

  • Vertically opposite angles are equal.
  • Example: If two lines intersect, the angles opposite each other are the same.

EVALUATION (5 exercises):

  1. What are vertically opposite angles?
  2. Identify the vertically opposite angles in the given diagram.
  3. If two intersecting lines form one angle of 40°, what is the measure of its vertically opposite angle?
  4. Are vertically opposite angles always equal? Why or why not?
  5. If one angle is 75°, what is the other vertically opposite angle?

CLASSWORK (5 tasks):

  1. Measure two vertically opposite angles in the classroom and compare them.
  2. Draw two intersecting lines and identify the vertically opposite angles.
  3. Solve for the vertically opposite angle if one is 65°.
  4. What happens to vertically opposite angles if the lines are parallel?
  5. If two angles are vertically opposite, and one is 120°, what is the other?

ASSIGNMENT (5 tasks):

  1. Draw two intersecting lines and calculate the vertically opposite angles.
  2. Measure the vertically opposite angles on a protractor and compare them.
  3. Describe how vertically opposite angles help in measuring angles in triangles.
  4. Explain how vertically opposite angles are used in construction.

Find vertically opposite angles in real-world structures like buildings.