Capacity, Litres, Cm³ Relationship and Comparing Containers for Primary 5

Class: Primary 5
Term: 2nd Term
Week: 9
Age: 10 years
Duration: 45 minutes
Subject: General Mathematics
Curriculum Theme: Measurement
Previous Lesson: Volume, Unit Cubes, Cuboids, Cubes and V = L×B×H.
Topic: CAPACITY
Subject Matter: Presenting an open cube 10cm × 10cm × 10cm and liquid containers, relationship between litres and cubic centimetre, comparing containers to know capacity, using litre as unit of capacity and 1 litre = 1000cm³, quantitative aptitude on capacity.

Specific Objectives

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

Cognitive Domain:

• Identify the 10cm cube model and various liquid containers.
• State the relationship between litres and cubic centimetres.
• Compare the capacities of different containers.
• Solve quantitative aptitude problems involving capacity.

Affective Domain:

• Appreciate the importance of accurate measurement of capacity in daily life.
• Develop an interest in solving problems related to capacity.

Psychomotor Domain:

• Measure and compare capacities using various containers.
• Demonstrate the conversion between litres and cubic centimetres.

Social Domain:

• Work collaboratively to compare container capacities.

Reference Materials

The following resources were used in planning this lesson:

• 9 Years Basic Education Curriculum
• State Unified Scheme of Work
• Primary Mathematics for Nigerian Schools, Book 5

Instructional Materials

The teacher will teach this lesson with the aid of:

• An open cube model (10cm × 10cm × 10cm)
• Various liquid containers (e.g., measuring jugs, bottles, buckets)
• Water or sand for practical demonstrations
• Chart showing different containers with their capacities
• Flashcards or worksheets with quantitative aptitude questions on capacity

Rationale for the Lesson

This lesson helps pupils understand how much liquid or substance different containers can hold. Understanding capacity is important for daily activities like cooking, buying fuel, or measuring ingredients, enabling pupils to make accurate estimations and calculations in real-life situations.

Prerequisite/Previous Knowledge

Pupils have a basic understanding of volume and units of length (centimetres). They can perform simple multiplication and division operations.

Lesson Content/Board Summary

CAPACITY

Definition of Capacity

Capacity is the amount of liquid or substance a container can hold. It tells us how much space is available inside a container.

Relationship between Litres and Cubic Centimetres

Capacity is commonly measured in units such as litres (L) and millilitres (mL). Volume, which is related to capacity, is often measured in cubic units like cubic centimetres (cm³) or cubic metres (m³).

The relationship between litres and cubic centimetres is an important conversion:

• 1 litre (L) = 1000 cubic centimetres (cm³)
• Also, 1 cubic centimetre (cm³) = 1 millilitre (mL)
• Therefore, 1 litre (L) = 1000 millilitres (mL)

NOTE: When converting from a smaller unit to a larger unit, divide. When converting from a larger unit to a smaller unit, multiply.

Comparing Container Capacities

To compare the capacities of different containers, one can:

• Fill one container with liquid and pour it into another to see which holds more.
• Read the measurement markings on calibrated containers (e.g., measuring jugs).
• Use the known relationship between litres and cubic centimetres to convert and compare volumes.

Quantitative Aptitude on Capacity

Example 1: Convert 7 litres to cubic centimetres.

Solution:

Step 1: Recall the conversion factor. We know that 1 litre = 1000 cm³.

Step 2: Multiply the given litres by 1000.

7 L × 1000 cm³/L = 7000 cm³

Step 3: State the answer.

Therefore, 7 litres is equal to 7000 cm³.

Example 2: A bottle contains 4500 cm³ of water. How many litres is this?

Solution:

Step 1: Recall the conversion factor. We know that 1000 cm³ = 1 L.

Step 2: Divide the given cubic centimetres by 1000.

4500 cm³ ÷ 1000 cm³/L = 4.5 L

Step 3: State the answer.

Therefore, 4500 cm³ is equal to 4.5 litres.

Example 3: A tank has a capacity of 15 litres. How many 500 mL bottles can be filled from it?

Solution:

Step 1: Convert the tank’s capacity from litres to millilitres. We know 1 L = 1000 mL.

15 L × 1000 mL/L = 15000 mL

Step 2: Divide the total capacity in millilitres by the capacity of one bottle.

15000 mL ÷ 500 mL/bottle = 30 bottles

Step 3: State the answer.

Therefore, 30 bottles can be filled from the tank.

Teaching Methods/Instructional Techniques

Discussion, Lecture, Demonstration, Question and Answer, Visual Aids

Instructional Procedures

Step 1: Introduction

Time: 5 minutes

Teaching Skill: Set Induction

Teacher’s Activity: The teacher displays different containers (e.g., a small cup, a bottle, a jug) and asks pupils which container holds more water. The teacher then introduces the topic of Capacity.

Pupils’ Activity: Pupils observe the containers and respond to the teacher’s questions, sharing their ideas on which container holds more.

Learning Point: Pupils are introduced to the concept of capacity and its relevance.

Step 2: Definition of Capacity

Time: 5 minutes

Teaching Skill: Explanation

Teacher’s Activity: The teacher explains the meaning of capacity as the amount a container can hold. The teacher uses the 10cm x 10cm x 10cm open cube model to demonstrate volume and relates it to capacity.

Pupils’ Activity: Pupils listen attentively, observe the cube, and understand the definition of capacity.

Learning Point: Pupils define capacity and relate it to the internal volume of a container.

Step 3: Relationship between Litres and Cubic Centimetres

Time: 10 minutes

Teaching Skill: Demonstration/Explanation

Teacher’s Activity: The teacher guides pupils to understand that 1 litre is equivalent to 1000 cubic centimetres using the 10cm cube model (which has a volume of 1000 cm³) and a 1-litre container. The teacher explains conversion methods.

Pupils’ Activity: Pupils observe the demonstration, participate in discussions, and note down the conversion relationship (1 L = 1000 cm³).

Learning Point: Pupils establish and recall the relationship between litres and cubic centimetres.

Step 4: Comparing Container Capacities

Time: 7 minutes

Teaching Skill: Practical Application

Teacher’s Activity: The teacher presents various liquid containers and guides pupils to compare their capacities by filling them with water or sand and pouring into others, or by reading markings on measuring jugs. The teacher asks questions like “Which container holds more?” and “How do you know?”

Pupils’ Activity: Pupils actively participate in comparing the capacities of different containers, explaining their observations and methods.

Learning Point: Pupils learn practical ways to compare the capacities of different containers.

Step 5: Solving Quantitative Aptitude Problems

Time: 10 minutes

Teaching Skill: Problem Solving

Teacher’s Activity: The teacher presents quantitative aptitude problems on capacity (e.g., conversions, finding total capacity, number of small containers from a large one). The teacher demonstrates solving these problems on the board, explaining each step clearly.

Pupils’ Activity: Pupils follow the teacher’s examples, ask questions, and solve similar problems in their notebooks.

Learning Point: Pupils develop skills in solving numerical problems involving capacity and unit conversions.

Step 6: Class Activity/Practice

Time: 5 minutes

Teaching Skill: Group Work/Practice

Teacher’s Activity: The teacher provides pupils with a few practice questions or a small group activity to reinforce their understanding of capacity and conversions.

Pupils’ Activity: Pupils work individually or in small groups to solve the given problems, applying what they have learned.

Learning Point: Pupils practice and consolidate their understanding of capacity concepts and problem-solving.

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. Define capacity in your own words.
2. State the relationship between 1 litre and cubic centimetres.
3. If a jug holds 2 litres of water, how many cm³ is that?
4. Mention two ways to compare the capacities of two different containers.

Pupils’ Activity: Pupils answer orally and in writing.

Learning Point: Pupils demonstrate understanding of the lesson.

Step 8: Conclusion

Time: 3 minutes

Teaching Skill: Summarization

Teacher’s Activity: The teacher summarizes the key points of the lesson, emphasizing the importance of capacity in everyday life. The teacher gives pupils homework related to capacity conversions and problem-solving.

Pupils’ Activity: Pupils listen to the summary and copy down the homework assignment.

Learning Point: Pupils review the main concepts of the lesson and are assigned further practice.

Home Task: Solve three new exercises on CAPACITY. Show each step and check each answer.

Lesson Keywords

• Capacity – The amount of liquid or substance a container can hold.
• Litre (L) – A common unit of measurement for liquid capacity.
• Cubic Centimetre (cm³) – A unit of volume, often used interchangeably with millilitre for capacity.
• Millilitre (mL) – A smaller unit of measurement for liquid capacity (1000 mL = 1 L).
• Container – An object used for holding something.

Differentiation

For pupils who grasp concepts quickly, the teacher can provide more complex word problems involving multiple steps or different units (e.g., converting between mL and L, then solving). For pupils needing more support, the teacher can provide additional visual aids, pre-filled conversion tables, or simpler, direct conversion exercises and one-on-one guidance during practice sessions.

Note for teachers using this lesson plan

Ensure that all instructional materials, especially the 10cm cube and various containers, are readily available before the lesson. Encourage practical demonstrations and allow pupils to handle the materials to enhance their understanding. Emphasize the real-life applications of capacity to make the lesson more engaging and relatable. Pay close attention to pupils’ understanding of unit conversions, as this is a common area of difficulty.