Three-Dimensional Shapes, Open and Closed Shapes, Their Uses for Primary 4

Class: Primary 4
Term: Third Term
Week: 9
Age: 9 years
Duration: 45 minutes
Subject: General Mathematics
Curriculum Theme: Geometry
Focal competence: Identifying differences between 2-D and 3-D shapes and distinguishing between open and closed shapes
Key competencies/values: Collaboration
Skills:

• distinguish between open and closed shapes
• identify the uses of three-dimensional shapes

Previous Lesson: Symmetrical and Non-Symmetrical Shapes, Lines, Cardinal Points
Topic: Three-Dimensional Shapes
Subject Matter: Meaning of three-dimensional shapes, Cuboids, cubes and cylinders, open/closed shapes and their uses

Specific Objectives

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

Cognitive Domain

• explain the meaning of three-dimensional shapes;
• distinguish between open and closed shapes;
• identify the uses of three-dimensional shapes.

Affective Domain

• show interest in identifying three-dimensional shapes in their environment.

Psychomotor Domain

• classify real-life objects into three-dimensional, open, or closed shapes.

Reference Materials

The following resources were used in planning this lesson:

• 2025 Revised 9 Years Basic Education Curriculum
• Relevant State Unified Scheme of Work
• Macmillan Primary Mathematics for Primary 4
• The HeadTeacher Scheme of work

Instructional Materials

The teacher will teach this lesson with the aid of:

• Cartons
• Charts showing various 3D shapes
• Models of the Cuboid, Cube and Cylinder
• Milk tins
• Water tanks
• A die
• A box

Rationale for the Lesson

This lesson helps pupils understand the shapes of objects around them, moving beyond flat two-dimensional shapes. Recognising three-dimensional, open, and closed shapes builds foundational geometric understanding and helps pupils interpret their physical environment more accurately.

Prerequisite/Previous Knowledge

Pupils have been introduced to two-dimensional shapes like squares, rectangles, and circles in previous lessons.

Lesson Content/Board Summary

Three-Dimensional Shapes

Meaning of Three-Dimensional (3D) Shapes

Three-dimensional (3D) shapes are solid shapes that have length, width, and height (or depth). They take up space and can be held. Examples include cubes, cuboids, and cylinders.

Common Three-Dimensional Shapes

1. Cuboid: A cuboid is a 3D shape with six rectangular faces. It looks like a box. Examples: a matchbox, a book, a brick.
2. Cube: A cube is a special type of cuboid where all six faces are squares of the same size. Examples: a die (dice), a sugar cube, a Rubik’s cube.
3. Cylinder: A cylinder is a 3D shape with two circular bases and a curved surface connecting them. Examples: a tin of milk, a can of soft drink, a water tank.

Open and Closed Shapes

Shapes can also be described as open or closed, especially when referring to containers or boundaries.

1. Open Shapes: An open shape is a shape that does not fully enclose a space. It has an opening or a break in its boundary.

   Examples:

   1. A cup without a lid (open at the top).
   2. A basket (often open at the top).
   3. A box with its lid removed.
2. Closed Shapes: A closed shape is a shape that completely encloses a space. It has no openings or breaks in its boundary.

   Examples:

   1. A sealed tin of milk.
   2. A closed box.
   3. A water tank with a lid.

Differences Between Open and Closed Shapes

1. Boundary: Open shapes have an incomplete boundary, while closed shapes have a complete boundary.
2. Enclosure: Open shapes do not fully enclose a space, while closed shapes fully enclose a space.
3. Containment: Closed shapes can hold things without them spilling out from the sides, unlike open shapes.

Uses of Three-Dimensional Shapes

Three-dimensional shapes are used in many everyday objects for various purposes:

1. Cuboids: Used for packaging (cartons, boxes), building (bricks), and storage (cupboards, books).
2. Cubes: Used for games (dice), storage (cubic containers), and sometimes for building blocks.
3. Cylinders: Used for holding liquids (tins, cans, bottles), transporting materials (pipes), and storage (water tanks, drums).

Teaching Methods/Instructional Techniques

Discussion, Demonstration, Guided Practice, Question and Answer, Explanation, Observation, Practical Activity

Instructional Procedures

Step 1: Introduction

Time: 5 minutes

Teaching Skill: Activating prior knowledge

Teacher’s Activity: The teacher displays various real-life objects (e.g., a book, a milk tin, a die, an open carton, a closed box) and asks pupils to identify their shapes. The teacher then asks if they know the difference between flat shapes (2D) and solid shapes (3D).

Pupils’ Activity: Pupils identify the shapes of the objects and share their ideas about flat and solid shapes.

Learning Point: Introduction to 3D shapes

Step 2: Meaning of Three-Dimensional Shapes

Time: 7 minutes

Teaching Skill: Explanation/Demonstration

Teacher’s Activity: The teacher explains that 3D shapes are solid shapes with length, width, and height. The teacher uses models to demonstrate these dimensions and contrasts them with 2D shapes on a chart.

Pupils’ Activity: Pupils listen, observe the models, and ask questions for clarification.

Learning Point: Definition of 3D shapes

Step 3: Cuboids, Cubes, and Cylinders

Time: 8 minutes

Teaching Skill: Demonstration/Identification

Teacher’s Activity: The teacher displays models of a cuboid, cube, and cylinder. The teacher guides pupils to identify their features (e.g., number of faces, shape of faces) and provides real-life examples like a box, a die, and a milk tin.

Pupils’ Activity: Pupils observe the models, identify their features, and mention other real-life examples.

Learning Point: Features of cuboids, cubes, cylinders

Step 4: Open and Closed Shapes

Time: 7 minutes

Teaching Skill: Explanation/Examples

Teacher’s Activity: The teacher explains the concept of open and closed shapes using objects like an open carton and a sealed milk tin. The teacher defines each type and gives more examples.

Pupils’ Activity: Pupils listen, observe the examples, and suggest their own examples of open and closed objects.

Learning Point: Understanding open and closed shapes

Step 5: Differences between Open and Closed Shapes

Time: 6 minutes

Teaching Skill: Guided Comparison

Teacher’s Activity: The teacher guides pupils to compare and contrast open and closed shapes based on their boundaries and ability to enclose space. The teacher uses a chart to highlight the differences.

Pupils’ Activity: Pupils participate in the discussion, stating the differences between open and closed shapes.

Learning Point: Distinguishing open and closed shapes

Step 6: Uses of Three-Dimensional Shapes

Time: 5 minutes

Teaching Skill: Application/Discussion

Teacher’s Activity: The teacher leads a discussion on the practical uses of cuboids, cubes, and cylinders in everyday life, referring back to the displayed objects (box, die, tin/can).

Pupils’ Activity: Pupils contribute ideas on how these shapes are used and identify uses of the displayed objects.

Learning Point: Practical uses of 3D shapes

Step 7: Evaluation/Review

Time: 5 minutes

Teaching Skill: Questioning/Assessment

Teacher’s Activity: The teacher evaluates the learning by asking the following questions:

1. What is a three-dimensional shape?
2. Give two examples of cuboids.
3. Differentiate between an open shape and a closed shape.
4. Mention two uses of a cylinder.

Pupils’ Activity: Pupils answer orally and in writing.

Learning Point: Assessment of understanding

Step 8: Note-Taking

Time: 4 minutes

Teaching Skill: Guided Writing

Teacher’s Activity: The teacher guides pupils to copy the essential Board Summary notes on three-dimensional shapes, open/closed shapes, and their uses into their notebooks.

Pupils’ Activity: Pupils copy the notes carefully into their notebooks.

Learning Point: Recording lesson content

Step 9: Conclusion

Time: 3 minutes

Teaching Skill: Summarisation

Teacher’s Activity: The teacher briefly summarises the main points of the lesson, reinforcing the understanding of 3D shapes, open/closed shapes, and their everyday uses. The teacher encourages pupils to look for these shapes around them.

Pupils’ Activity: Pupils listen and participate in the recap.

Learning Point: Consolidation of concepts

Continuous Assessment/Further Study

Type: Homework

Instruction: Answer the following questions in your notebook:

1. Draw and label a cuboid, a cube, and a cylinder.
2. List three objects in your home that are examples of 3D shapes.
3. Give one example of an open shape and one example of a closed shape you see every day.

Lesson Keywords

• Three-dimensional (3D) – Shapes with length, width, and height.
• Cuboid – A 3D shape with six rectangular faces.
• Cube – A 3D shape with six square faces of equal size.
• Cylinder – A 3D shape with two circular bases and a curved surface.
• Open shape – A shape that does not fully enclose a space.
• Closed shape – A shape that completely encloses a space.

Differentiation

For weaker learners: Provide more hands-on practice with physical objects, allowing them to touch and describe the shapes. Use flashcards with pictures of shapes and their names. Focus on identifying common examples.
For faster learners: Challenge them to identify more complex 3D shapes (e.g., cones, pyramids) or to draw 3D shapes from different perspectives. Ask them to explain why certain shapes are suitable for particular uses.

Suggested Lesson Videos

For further understanding, search on YouTube for:
“Three Dimensional Shapes for Kids Primary 4”
“Open and Closed Shapes explained for Primary School”

Teacher Guide for Using This Lesson Plan

Before the lesson, gather all the instructional materials, especially real-life objects like cartons, milk tins, a die, and models of cuboids, cubes, and cylinders. Arrange them for easy display and handling. Begin the lesson by engaging pupils with familiar objects to introduce the concept of 3D shapes. Guide them through the explanation of each shape, encouraging observation and discussion. When teaching open and closed shapes, use clear, contrasting examples. Ensure pupils actively participate in identifying and classifying objects. Allow pupils to copy the Board Summary notes after the main teaching and discussion, typically during Step 8. Check for understanding throughout the lesson by asking questions and providing immediate feedback. Support weaker learners by simplifying explanations and offering more visual aids, while challenging faster learners with additional exploration tasks.