Mathematics - Junior Secondary 1 - Geometry - Plane shapes

Geometry - Plane shapes

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TERM: 3RD TERM

WEEK 3

Class: Junior Secondary School 1
Age: 12 years
Duration: 40 minutes of 5 periods
Subject: Mathematics
Topic: Geometry – Plane Shapes
Focus: Perimeter and Area of Regular Plane Shapes (Square, Rectangle, Trapezium, Parallelogram, Circle)

SPECIFIC OBJECTIVES:

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

  1. Calculate the perimeter of a square, rectangle, trapezium, parallelogram, and circle.
  2. Calculate the area of regular plane shapes such as squares, rectangles, and parallelograms.
  3. Solve real-life problems involving perimeter and area.
  4. Understand the relationship between side lengths, perimeter, and area.
  5. Apply formulas for perimeter and area to practical scenarios.

INSTRUCTIONAL TECHNIQUES:

  • Question and answer
    • Guided demonstration
    • Discussion
    • Drills and exercises
    • Real-life application

INSTRUCTIONAL MATERIALS:

  • Geometric shapes (flashcards, cut-outs)
    • Whiteboard and marker
    • Rulers, measuring tape
    • Worksheets
    • Place value charts for practical scenarios

 

PERIOD 1 & 2: Perimeter of Regular Plane Shapes (Square, Rectangle, Trapezium, Parallelogram, Circle)

PRESENTATION:

Step

Teacher’s Activity

Pupil’s Activity

Step 1 - Introduction

Reviews previous lesson on plane shapes and introduces perimeter.

Pupils listen and answer questions.

Step 2 - Explanation

Defines perimeter as the distance around a shape. Introduces formulas:

Pupils copy down formulas.

 

- Square: Perimeter = 4 × side

  

 

- Rectangle: Perimeter = 2 × (length + width)

  

 

- Trapezium: Perimeter = sum of all sides

  

 

- Parallelogram: Perimeter = 2 × (length + width)

  

 

- Circle: Perimeter (Circumference) = 2πr

  

Step 3 - Demonstration

Solves example problems on the board using each shape’s formula.

Pupils solve similar examples with guidance.

Step 4 - Note Taking

Pupils take notes on the formulas and examples.

Pupils copy and practice.

NOTE ON BOARD:

  • Square: Perimeter = 4 × side
  • Rectangle: Perimeter = 2 × (length + width)
  • Trapezium: Perimeter = sum of all sides
  • Parallelogram: Perimeter = 2 × (length + width)
  • Circle: Perimeter (Circumference) = 2πr

EVALUATION (5 exercises):

  1. Calculate the perimeter of a square with side length 8 cm.
  2. Calculate the perimeter of a rectangle with length 10 cm and width 5 cm.
  3. Find the perimeter of a trapezium with sides 6 cm, 8 cm, 5 cm, and 7 cm.
  4. Calculate the perimeter of a parallelogram with length 12 cm and width 6 cm.
  5. Find the circumference of a circle with radius 7 cm.

CLASSWORK (5 questions):

  1. Calculate the perimeter of a square with side length 10 cm.
  2. Calculate the perimeter of a rectangle with length 12 cm and width 6 cm.
  3. Find the perimeter of a trapezium with sides 5 cm, 7 cm, 6 cm, and 8 cm.
  4. Calculate the perimeter of a parallelogram with length 8 cm and width 4 cm.
  5. Calculate the circumference of a circle with radius 5 cm.

ASSIGNMENT (5 tasks):

  1. Calculate the perimeter of a square with side length 15 cm.
  2. Find the perimeter of a rectangle with length 20 cm and width 8 cm.
  3. Calculate the perimeter of a trapezium with sides 4 cm, 6 cm, 9 cm, and 7 cm.
  4. Calculate the perimeter of a parallelogram with length 16 cm and width 6 cm.
  5. Find the circumference of a circle with radius 10 cm.

 

PERIOD 3 & 4: Area of Regular Plane Shapes (Square, Rectangle, Parallelogram)

PRESENTATION:

Step

Teacher’s Activity

Pupil’s Activity

Step 1 - Introduction

Introduces the concept of area and explains that it refers to the space inside a shape.

Pupils listen and answer questions.

Step 2 - Explanation

- Square: Area = side × side

Pupils copy down formulas.

 

- Rectangle: Area = length × width

  

 

- Parallelogram: Area = base × height

  

 

    

Step 3 - Demonstration

Solves example problems on the board using each shape’s formula.

Pupils solve similar examples with guidance.

Step 4 - Note Taking

Pupils take notes on the formulas and examples.

Pupils copy and practice.

NOTE ON BOARD:

  • Square: Area = side × side
  • Rectangle: Area = length × width
  • Parallelogram: Area = base × height

EVALUATION (5 exercises):

  1. Calculate the area of a square with side length 6 cm.
  2. Find the area of a rectangle with length 5 cm and width 3 cm.
  3. Calculate the area of a parallelogram with base 10 cm and height 5 cm.
  4. Find the area of a square with side length 8 cm.
  5. Calculate the area of a rectangle with length 9 cm and width 4 cm.

CLASSWORK (5 questions):

  1. Calculate the area of a square with side length 7 cm.
  2. Find the area of a rectangle with length 12 cm and width 6 cm.
  3. Calculate the area of a parallelogram with base 10 cm and height 5 cm.
  4. Find the area of a square with side length 9 cm.
  5. Calculate the area of a rectangle with length 6 cm and width 8 cm.

ASSIGNMENT (5 tasks):

  1. Find the area of a square with side length 14 cm.
  2. Calculate the area of a rectangle with length 20 cm and width 10 cm.
  3. Find the area of a parallelogram with base 15 cm and height 8 cm.
  4. Calculate the area of a square with side length 12 cm.

Find the area of a rectangle with length 18 cm and width 7 cm.