Mathematics - Junior Secondary 1 - Three-Dimensional Shapes

Three-Dimensional Shapes

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TERM: 3RD TERM

WEEK 4

Class: Junior Secondary School 1
Age: 12 years
Duration: 40 minutes of 5 periods
Subject: Mathematics
Topic: Three-Dimensional Shapes
Focus: Identification of 3D Shapes and Properties of Cubes and Cuboids

SPECIFIC OBJECTIVES:

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

  1. Identify and name different three-dimensional shapes.
  2. Describe the properties of cubes and cuboids.
  3. Compare and contrast cubes and cuboids.
  4. Recognize three-dimensional shapes in real-life objects.
  5. Apply the knowledge of 3D shapes to real-life situations.

INSTRUCTIONAL TECHNIQUES:

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

INSTRUCTIONAL MATERIALS:

  • Models of 3D shapes (cubes, cuboids, spheres, cones, cylinders)
    • Flashcards
    • Whiteboard and marker
    • Measuring tapes/rulers

 

PERIOD 1 & 2: Identification of Three-Dimensional Shapes

PRESENTATION:

Step

Teacher’s Activity

Pupil’s Activity

Step 1 – Introduction

Introduces 3D shapes: cube, cuboid, sphere, cone, and cylinder.

Pupils listen and ask questions.

Step 2 – Explanation

Defines and describes the properties of cubes and cuboids.

Pupils observe and ask questions.

Step 3 – Demonstration

Shows physical models of 3D shapes.

Pupils identify shapes from models.

Step 4 - Note Taking

Pupils write down the properties of each shape.

Pupils copy notes.

NOTE ON BOARD:

  • Cube: 6 equal square faces, 12 edges, 8 vertices.
  • Cuboid: 6 rectangular faces, 12 edges, 8 vertices.
  • Sphere: 1 curved face, no edges or vertices.
  • Cone: 1 circular face, 1 vertex, 1 curved edge.
  • Cylinder: 2 circular faces, 1 curved surface, no vertices.

EVALUATION (5 exercises):

  1. Identify and name the 3D shapes from a set of flashcards.
  2. How many edges does a cube have?
  3. What is the difference between a cube and a cuboid?
  4. How many faces does a sphere have?
  5. Name two 3D shapes with no vertices.

CLASSWORK (5 questions):

  1. Draw and label a cube and a cuboid.
  2. Identify the 3D shape that has 2 circular faces and no vertices.
  3. Write the number of faces, edges, and vertices for a cube.
  4. Compare a cone and a cylinder.
  5. Identify 3 objects in the classroom that resemble 3D shapes.

ASSIGNMENT (5 tasks):

  1. Draw a 3D shape with 6 square faces.
  2. Identify a real-life object that is a sphere.
  3. List 5 3D shapes.
  4. Name the properties of a cone.
  5. Write the differences between cubes and cuboids.

 

PERIOD 3 & 4: Properties of Cubes and Cuboids

PRESENTATION:

Step

Teacher’s Activity

Pupil’s Activity

Step 1 – Introduction

Reviews properties of cubes and cuboids.

Pupils recall information from previous lessons.

Step 2 – Explanation

Shows examples of real-life cubes and cuboids.

Pupils discuss examples.

Step 3 – Demonstration

Solves problems involving dimensions of cubes and cuboids.

Pupils solve problems with guidance.

Step 4 - Note Taking

Teacher writes summary, pupils copy notes.

Pupils take notes.

NOTE ON BOARD:

  • Cube: All faces are squares; all sides are equal.
  • Cuboid: Faces are rectangles; opposite faces are equal.

EVALUATION (5 exercises):

  1. How many faces does a cuboid have?
  2. How many vertices does a cube have?
  3. Calculate the volume of a cube with side length 4 cm.
  4. How many edges does a cuboid have?
  5. Calculate the volume of a cuboid with length 3 cm, width 5 cm, and height 6 cm.

CLASSWORK (5 questions):

  1. Draw a cube and a cuboid.
  2. Identify the volume of a cube with side length 7 cm.
  3. Find the volume of a cuboid with length 6 cm, width 4 cm, and height 2 cm.
  4. List the properties of a cube.
  5. Write the differences between a cube and a cuboid.

ASSIGNMENT (5 tasks):

  1. Draw and label a cube and cuboid.
  2. Calculate the volume of a cube with side length 10 cm.
  3. Calculate the volume of a cuboid with dimensions 8 cm, 3 cm, and 5 cm.
  4. Identify a real-life example of a cuboid.

Discuss how the properties of a cube are used in daily life.