Lesson Notes By Weeks and Term v3 - Primary 4
Three dimensional shapes
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Three dimensional shapes
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Subject: General Mathematics
Class: Primary 4
Term: 2nd Term
Week: 4
Theme: Mensuration And Geometry
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Watch on YouTubeSee Facebook postdistinguish between open and closed shapes identify the uses of 3-dimensional shapes in homes and the ir environment
2.1 What are Three-Dimensional (3D) Shapes? Three-dimensional shapes, also known as solid shapes, are objects that have length, width (or breadth), and height (or depth). Unlike two-dimensional (2D) shapes (like squares, circles, triangles) which are flat and can only be drawn on a surface, 3D shapes take up space and can be held. Examples include cubes, cuboids, cylinders, spheres, cones, and pyramids. 2.2 Distinguishing Between Open and Closed Shapes Open Shapes: Definition: An open shape is a 3D object or container that has an opening, allowing contents to be easily put in or taken out, or for external elements to enter or leave. It is not completely enclosed.
Characteristics: They typically serve purposes where access to the interior is required or where contents do not need to be sealed (e.g., for display, ventilation, temporary storage, or easy access). Nigerian Context
Examples: An open basket of oranges in the market. A plastic bucket without a lid, used for fetching water. A cooking pot without its cover. A carton box whose top flaps are open. A serving bowl of jollof rice. A funnel used to pour liquids. A cup.
Closed Shapes: Definition: A closed shape is a 3D object or container that is completely enclosed, with no openings. Its contents are sealed, protected, or fully contained.
Characteristics: They are often used for packaging, preservation, storage, or for objects that need to maintain their integrity without external interference. Nigerian Context
Examples: A sealed sachet of pure water. A can of sardines or a can of Peak Milk. A fully wrapped gift box. A brick used for building. A sealed bottle of soft drink. A cooking gas cylinder. A football. 2.3 Identification and Uses of 3D Shapes in Homes and the Environment Students should be able to identify common 3D shapes and their uses by looking at real objects or pictures.
Cuboid: Description: A solid shape with six rectangular faces.
Uses in Nigeria: Homes: Refrigerators, cupboards, television sets, mattresses, building bricks, shoe boxes, cartons of provisions (e.g., indomie, detergent).
Environment: Rectangular water tanks, cement blocks, some market stalls, classroom desks.
Cube: Description: A special type of cuboid where all six faces are squares of the same size.
Uses in Nigeria: Homes: Maggi cubes, some sugar cubes, children's building blocks.
Environment: Some dice, storage containers.
Cylinder: Description: A solid shape with two circular bases that are parallel and of the same size, connected by a curved surface.
Uses in Nigeria: Homes: Drums for water storage, Milo/Peak Milk tins, Coca-Cola cans, cooking gas cylinders, PVC pipes, rechargeable lanterns.
Environment: Water tankers, oil drums, electric poles, some types of traditional clay pots, borehole casings.
Sphere: Description: A perfectly round 3D shape where every point on its surface is the same distance from its center.
Uses in Nigeria: Homes: Oranges, grapefruits, marbles, beads, decorative balls.
Environment: Footballs, basketballs, tennis balls, earth globe models, round stones.
Cone: Description: A solid shape with a circular base and a single vertex (apex) that is connected to the base by a curved surface.
Uses in Nigeria: Homes: Funnels, party hats.
Environment: Traffic cones, some traditional straw hats (if conical), the top part of some traditional huts (conical roofs).
Pyramid: Description: A solid shape with a polygon base and triangular faces that meet at a single point (apex).
Uses in Nigeria: Homes: Decorative items (less common for functional items).
Environment: Less common in Nigerian architecture, but students might see pictures of Egyptian pyramids. In markets, large displays of oranges or tomatoes piled up often approximate a pyramid shape. --- Materials: A collection of real-life objects (e.g., an open plastic cup, a sealed sachet of pure water, an open bowl, a closed can of milk, a building brick, a football, a small carton box – both open and closed, a drum, an orange, a funnels). Pictures of these objects can also be used. 3.1 Introduction (5 minutes)
Teacher Activity: The teacher displays a variety of real-life objects. Asks pupils to describe what they see. Leads a brief discussion on how some objects can hold things while others cannot, or how some are sealed and others are not.
Student Activity: Pupils observe the objects, share their initial thoughts and observations. 3.2 Activity 1: Distinguishing Open and Closed Shapes (15 minutes)
Teacher Activity: Hold up an object like an open plastic cup and a sealed sachet of pure water. Ask pupils to describe the difference. Guide them to use terms like "opening" and "sealed." Introduce the terms "open shape" and "closed shape" with clear definitions and refer back to the examples. Present other objects one by one (e.g., an open bowl, a closed can of milk, a carton with open flaps, a fully sealed carton). For each, ask pupils to identify if it's open or closed and explain why. Divide pupils into small groups. Give each group a collection of mixed open and closed objects.
Student Activity: Pupils identify and explain the difference between the sample objects. Pupils categorize objects in their groups into two sets: "Open Shapes" and "Closed Shapes," justifying their choices. Groups present their sorted objects and explanations to the class. 3.3 Activity 2: Identifying Uses of 3D Shapes in Homes and Environment (20 minutes)
Teacher Activity: Present common 3D shapes one by one (e.g., a building brick, a Milo tin, a football, an orange). For each object, ask pupils to: Identify the basic 3D shape it resembles (e.g., "The brick is like a cuboid"). Discuss its common use in their homes or environment (e.g., "Bricks are used to build houses"). Lead a brainstorming session. For instance, "What things in your kitchen are shaped like a cylinder?" or "What things in the market are spherical?" Encourage pupils to think about where these objects come from or how they are used in their local community (e.g., "Where do you see drums like this?" - for water storage, oil, etc.). Distribute drawing sheets.
Student Activity: Pupils identify the 3D shape of each presented object and state its use. Pupils actively participate in the brainstorming session, sharing examples from their own experiences. Pupils draw two 3D shapes they have identified and label one common use for each in a home or environment context. 3.4 Conclusion (5 minutes)
Teacher Activity: Recap the main points: what open and closed shapes are, and examples of 3D shapes and their uses. Ask quick questions to check understanding.
Student Activity: Answer questions, summarize key takeaways from the lesson. --- Instruction to Teacher: Present these questions to the class and guide them through the answers, ensuring they understand the reasoning.
Question 1: Look at the following objects: a plastic bucket without a lid, and a sealed can of baked beans. Which one is an open shape, and which one is a closed shape? Explain your answer for each.
Solution 1: Plastic bucket without a lid: This is an open shape.
Explanation: It has a wide opening at the top, which allows you to put water, sand, or other items inside easily, and to pour them out. It is not fully enclosed.
Sealed can of baked beans: This is a closed shape.
Explanation: It is completely sealed from all sides. There are no openings, which keeps the beans fresh and protected inside until you open the can.
Commentary: This question directly targets Objective 1 by asking pupils to distinguish between open and closed shapes and provide justification.
Question 2: Name two different objects you would find in a typical Nigerian home that are shaped like a cuboid. For each object, state one way it is used.
Solution 2: Object 1: Refrigerator Use: It is used to keep food and drinks cold and fresh, preventing them from spoiling.
Object 2: Building brick (or block)
Use: Bricks are used for constructing the walls of houses, schools, and other buildings. (Other valid answers include: cupboard for storage, carton box for provisions, mattress for sleeping.)
Commentary: This question targets Objective 2 by asking pupils to identify 3D shapes (cuboid) in a home context and state their uses.
Question 3: Imagine you are at a local Nigerian market. You see a vendor selling oranges. What 3D shape does a single orange resemble? What is its primary use for the vendor and the customer?
Solution 3: 3D Shape: An orange resembles a sphere.
Use: For the vendor, oranges are sold as food items (fruits). For the customer, oranges are bought to be eaten or squeezed for juice, providing vitamins and refreshment.
Commentary: This question targets Objective 2 by connecting a common 3D shape (sphere) to a real-life object in a Nigerian market setting and its use.
Question 4: Categorize the following as either an open shape or a closed shape: a) A cooking pot with its lid off b) A sealed sachet of Milo powder c) A water drum with its cover firmly closed Solution 4: a)
A cooking pot with its lid off: Open shape (The opening allows you to put ingredients in and stir). b)
A sealed sachet of Milo powder: Closed shape (It's completely sealed to keep the powder dry and fresh). c)
A water drum with its cover firmly closed: Closed shape (The cover makes it fully enclosed, keeping the water clean and preventing spills).
Commentary: This question reinforces Objective 1 with multiple examples relevant to daily Nigerian life. --- 8.1 Differentiation (for Struggling Learners): Concrete Manipulatives: Provide struggling learners with extra hands-on experience using a larger variety of real objects. Allow them to physically sort and describe the objects repeatedly.
Visual Aids: Utilize large, clear flashcards with pictures of various open and closed shapes, and common 3D objects found in Nigeria.
Pair Work/Peer Tutoring: Pair struggling learners with more confident peers who can guide them through the sorting and identification activities.
Simplified Vocabulary: Use simpler language when explaining concepts, focusing on "has an opening" versus "no opening" before introducing "open shape" and "closed shape." Focus on Fewer
Examples: Concentrate on mastering the identification of open/closed shapes with a limited number of very familiar objects before expanding. 8.2 Remediation (for Learners Needing Extra Support): Targeted Re-teaching: Conduct a small group session specifically focusing on the definitions of "open" and "closed" shapes. Use very common household items (e.g., cup, plate, sealed bottle) and repeatedly ask "Can I put something in easily?" or "Is it fully covered?" "Shape Hunt" Game: Take pupils on a guided "shape hunt" around the classroom or school compound. The teacher points to an object, and the pupils identify it as open or closed.
Interactive Sorting: Create a simple chart with "Open Shapes" and "Closed Shapes" columns. Have pupils paste pictures of objects into the correct column. 8.3 Extension (for High-Achieving Learners): Exploring Features of 3D Shapes: Challenge them to identify and count the faces, edges, and vertices of simple 3D shapes like cubes and cuboids.
Design Challenge: Ask them to design a package for a specific product (e.g., a new local snack, a traditional craft item). They should explain which 3D shape they chose, whether it's open or closed, and why that shape is best for protecting/displaying the product.
Research Project: Encourage them to research different types of traditional Nigerian housing (e.g., Igbo, Hausa, Yoruba) and identify the primary 3D shapes involved in their construction (e.g., conical roofs, rectangular walls). They can present their findings with drawings or simple models.
Food Safety and Preservation: The concept of open and closed shapes is crucial for hygiene and food preservation in Nigerian homes and markets.
Application: Teachers can discuss how open shapes like bowls are good for serving immediate meals but closed shapes (e.g., sealed cans of tomatoes, covered pots, sachet water) are vital for long-term storage, preventing contamination from dust, insects, and spoilage. This teaches pupils the importance of packaging and covering food.
Construction and Infrastructure: 3D shapes are the building blocks of Nigerian physical structures.
Application: Pupils can observe that bricks (cuboids) are used for walls due to their stacking ability, while water tanks (cylinders or cuboids) are designed to hold large volumes of water efficiently. Roads often use cylindrical pipes for drainage. This helps them understand how specific shapes are chosen for specific engineering and architectural purposes.
Commerce and Packaging in Markets: Nigerian markets are rich with examples of 3D shapes in use.
Application: Pupils can identify vendors stacking oranges in pyramidal shapes for display, using open baskets for fresh produce (yams, peppers), and closed bags or containers for processed goods (rice, beans, canned items). This connects their learning to the economic activities and visual organization of their local community. ---