# Capacity and Its Basic Unit of Measurement | Addition and Subtraction in Litres and Millilitres Primary 4 (Basic 4) Term 3 Week 6 Mathematics

### MATHEMATICS

THIRD TERM

WEEK 6

PRIMARY 4

THEME â€“ MENSURATION AND GEOMETRYÂ

PREVIOUS LESSON â€“Â Time, Calendar and Date Primary 4 (Basic 4) Term 3 Week 5 Mathematics

### LEARNING AREA

1. Introduction

2. Standard Units of Capacity

3. Addition and Subtraction of Capacity in mâ„“ and â„“

4. Word Problems

5. Lesson Evaluation and Weekly Assessment (Test)

### LEARNING OBJECTIVESÂ

By the end of the lesson, most pupils should have attained the following objectives â€“

1. identify the standard unit for capacity measurement.

2. convert millilitres to litres and litres to millilitres.

3. carry out simple addition and subtraction involving mâ„“ and â„“

4. word problems involving, addition and subtraction in mâ„“ and â„“

### ENTRY BEHAVIOUR

The pupils can identify objects with different capacity.

### INSTRUCTIONAL MATERIALS

The teacher will teach the lesson with the aid of gallons with different capacities.

### METHOD OF TEACHING

Choose a suitable and appropriate methods for the lessons.

Note â€“ Irrespective of choosing methods of teaching, always introduce an activities that will arouse pupilâ€™s interest or lead them to the lessons.Â

### REFERENCE MATERIALS

1. Scheme of Work

2. 9 â€“ Years Basic Education Curriculum

3. Course Book

4. All Relevant Material

5. Online Information

### CONTENT OF THE LESSONÂ

#### LESSON 1 â€“ INTRODUCTIONÂ

ACTIVITY 1 â€“ CONCEPTS OF CAPACITYÂ

Capacity is the amount of liquid in a container.Â

It is the measure of the amount or volume of liquid in a container.

The basic units of measurement of capacity are milliliter (mâ„“) and liter (â„“).

The standard unit of measuring capacity is the liter (â„“).

Small amount of liquid is measured in milliliter (mâ„“) while large amount is measured in liter (â„“).

It is equal to a thousandth of a liter, thatâ€™s, 1 â„“ = 1000 mâ„“.

The relationship between milliliter (mâ„“) and liter (â„“) is,

`1 000 mâ„“ = 1 â„“`

ACTIVITY 2 â€“ CONVERSION OF mâ„“ TO â„“

Working Example 1Â

Convert 5 000 mâ„“ to litres.

1st, divide the number of millilitres by 1 000,

5 000 Ã· 1 000 = 5

2nd, change the unit to litres,

5 000 mâ„“ = 5 â„“

Working Example 2Â

Convert 3 765 mâ„“ to litres.

1st, divide the number of millilitres by 1 000,

3 756 Ã· 1 000 = 3.756

2nd, change the unit to liters,

3 756 mâ„“ = 3.756 â„“

Or

3 l 756 mâ„“

Working Example 3

Convert 167 mâ„“ to litres.

1st, divide the number of millilitres by 1 000,

167 Ã· 1 000 = 0.167

2nd, change the unit to litres,

167 mâ„“ = 0.167 â„“

Working Example 4

Convert 13 g to litres.

1st, divide the number of millilitres by 1 000,

13 Ã· 1 000 = 0.013

2nd, change the unit to litres,

13 mâ„“ = 0.013 â„“

Working Example 5

Convert 9 g to litres.

1st, divide the number of millilitres by 1 000,

9 Ã· 1 000 = 0.009

2nd, change the unit to litres,

9 mâ„“ = 0.009 â„“

WORKING EXERCISES/ASSIGNMENTÂ

Covert the following to millilitres,

1. 0.9 â„“

2. 135 â„“

3. 0.048 â„“

4. 8 787 â„“

5. 1.25 â„“

SOLUTIONS

1. 0.9 mâ„“ = 0.9 x 1 000 = 0.0009 â„“

2. 135 mâ„“ = 135 x 1 000 = 0.135 â„“

3. 0.048 mâ„“ = 0.048 x 1 000 = 0.00048 â„“

4. 8 787 mâ„“ = 8 787 x 1 000 = 8.787 â„“

5. 1.25 mâ„“ = 1.25 x 1 000 = 0.00125 â„“

ACTIVITY 4 â€“ CONVERSION OF â„“ AND mâ„“

Working Example 1

Convert 9 â„“ to millilitres.

1st, multiply the number of â„“ by 1 000,

9 x 1 000 = 9 000

2nd, change the unit of millilitres

9 â„“ = 9 000 mâ„“

Working Example 2

Convert 1.5 â„“ to millilitres.

1st, multiply the number of â„“ by 1 000,

1.5 x 1 000 = 1 500

2nd, change the unit of millilitres

1.5 â„“ = 1 500 mâ„“

Working Example 3

Convert 0.73 â„“ to millilitres.

1st, multiply the number of â„“ by 1 000,

0.73 x 1 000 = 730

2nd, change the unit of milliliters

0.73 â„“ = 730 mâ„“

Working Example 4

Convert 5 â„“ 7 â„“ to millilitres.

1st, multiply the number of â„“ by 1 000,

5 x 1 000 + 7 = 5 007

2nd, change the unit of millilitres

5 â„“ 7 mâ„“ = 5 007 mâ„“

WORKING EXERCISES/ASSIGNMENTÂ

Complete the following:

1. 7 368 g = ________ â„“

2. 9.515 kg = ________ mâ„“

3. 1.2 g = ________ â„“

4. 1 kg 98 g = ________ â„“

5. 1 â„“ 98 mâ„“ = ________ mâ„“

#### LESSON 2 â€“ ADDITION AND SUBTRACTION OF CAPACITY

ACTIVITY 1 â€“ ADDITION OF WEIGHTSÂ

Working Example 1Â

Teacher asks each group or pair to add their body weights together.

Lets assume the capacity of 5 containers are as follows: 25.6 â„“, 28.5 â„“, 27.3 â„“, 26.1 â„“ and 24 â„“.

25.6 â„“ + 28.5 â„“ + 27.3 â„“ + 26.1 â„“ + 24 â„“ =

25.6 â„“

+ 28.5 â„“

+ 27.3 â„“

+ 26.1 â„“

+ 24.0 â„“

______________

131.5 â„“

The capacity of 5 containers is 131.5 â„“.

Working Example 2Â

Add 6 â„“ 950 mâ„“ to 2 â„“ 715 mâ„“

6 â„“ 950 mâ„“

+ 2 â„“ 715 mâ„“

_____________

9 â„“ 665 mâ„“

Working Example 3

Add 5 â„“ 56 mâ„“ and 8 â„“ 69 mâ„“

Â¹5 â„“ 56 mâ„“

+ 8 â„“ 59 mâ„“

______________

14 â„“ 05 mâ„“

Working Example 4

5.674 â„“

+ 3. 475 â„“

______________

9.149 â„“

Therefore, 9.149 â„“ = 9.149 x 1 000 = 9 149 mâ„“.

WORKING EXERCISESÂ

1. 9 125 mâ„“ and 6 786 mâ„“

2. 4 804 mâ„“, 3.498 â„“ and 2 397 mâ„“

3. 989 mâ„“ and 483 mâ„“

4. 2.168 â„“ + 700 mâ„“

5. 6 â„“ 71 mâ„“ and 5 â„“ 92 mâ„“

SOLUTIONS

1. 9 125 mâ„“ and 6 786 mâ„“

9 125 mâ„“

+ 6 786 mâ„“

______________

15 911 mâ„“

Therefore, 9 125 mâ„“ + 6 786 mâ„“ = 15 911 mâ„“ or 15 â„“ 912 mâ„“ or 15.912 â„“

2. 4 804 mâ„“, 3.498 â„“ and 2 397 mâ„“

Â¹4 804 mâ„“

(3.498 â„“ = 3 498 mâ„“), + 3 498 mâ„“

+ 2 397 mâ„“

______________

10 699 mâ„“

Therefore, 4 804 mâ„“ + 3.498 â„“ + 2 397 mâ„“ = 10 699 mâ„“ or 10 â„“ 699 mâ„“Â or 10.699 â„“

3. 989 mâ„“ and 483 mâ„“

Â¹989 mâ„“

+ 483 mâ„“

______________

1 472 mâ„“

Therefore, 989 mâ„“ + 483 mâ„“ = 1 472 mâ„“ or 1 â„“ 483 mâ„“Â or 1.472 â„“

4. 2.168 â„“ + 700 mâ„“

2.168 â„“

(700 mâ„“ = 0.700 â„“) + 0.700 â„“

______________

2.868 â„“

Therefore, 2.168 â„“ + 700 mâ„“ = 2.878 â„“ or 2 â„“ 878 mâ„“ or 2 878 mâ„“

5. 6 kg 71 m + 5 kg 92 m

6 â„“ 71 mâ„“

+ 5 â„“ 92 mâ„“

______________

11 â„“ 163 mâ„“

Therefore, 6 â„“ 71 mâ„“ + 5 â„“ 92 mâ„“ = 11 â„“ 163 mâ„“ or 11.163 â„“ or 11 163 mâ„“

#### LESSON 3 â€“ SUBTRACTION INVOLVING LITRES AND MILLILITRES

Working Example 1

Subtract 9 â„“ 156 mâ„“ and 8 â„“ 569 mâ„“

9 â„“ 156 mâ„“

â€“ 8 â„“ 569 mâ„“

______________

587 mâ„“

Therefore, 9 â„“ 156 mâ„“ â€“ 8 â„“ 569 mâ„“ = 587 mâ„“ or 0.587 â„“

Working Example 2

4 804 mâ„“ + 3.498 â„“ â€“ 2 397 mâ„“

4 804 mâ„“

(3.498 â„“ = 3 498 mâ„“), + 3 498 mâ„“

______________

8 302 mâ„“

â€“ 2 397 mâ„“

______________

5 905 mâ„“

Therefore, 4 804 mâ„“ + 3.498 â„“ â€“ 2 397 mâ„“ = 5 905 mâ„“ or 5 â„“ 905 mâ„“ or 5.905 â„“

Working Example 3

989 mâ„“ â€“ 483 mâ„“

989 mâ„“

â€“ 483 mâ„“

______________

506 mâ„“

Therefore, 989 mâ„“ â€“ 483 mâ„“ = 506 mâ„“ or 0.506 â„“

Working Example 4

2.168 kg â€“ 700 g

2.168 â„“

(700 mâ„“ = 0.700 â„“) â€“ 0.700 â„“

______________

1.468 â„“

Therefore, 2.168 â„“ â€“ 700 mâ„“ = 1.468 â„“ or 1 â„“ 468 mâ„“

#### LESSON 4 â€“ WORD PROBLEMS

Word problems are mathematical problems presented a simple language rather than in mathematical notation.

WORKING EXAMPLEÂ

1. A tank is full and it contains 7.15 â„“ of petrol. 2.68 â„“ of this is used. How much petrol is left in the tank?

Solution,

7.15 â„“

â€“ 2.68 â„“

____________

5.47 â„“

2. 10 â„“ 251 mâ„“ of water is poured into a bucket that already contains 8 â„“ 675 mâ„“ of water. How much water is now in the bucket?

Solution,

10 â„“ 251 mâ„“

+ 8 â„“ 675 mâ„“

____________

18 â„“ 826 mâ„“

WORKING EXERCISEÂ

1. A trader sells 43 bottles of oil a day. Each bottle contains 0.6 litres of oil. How many litres did she sell?

2. A car uses 8.76 litres out of the 30.92 of petrol in the tank. What capacity of petrol is left in the tank?

LESSON 5 â€“ REVISION

### PRESENTATION

To deliver the lesson, the teacher adopts the following steps:

1. To introduce the lesson, the teacher revises the previous lesson. Based on this, he/she asks the pupils some questions;

2. Teacher organizes the pupils in groups or pair depending on the size of the class.

3. Teacher displays containers of different size.

4. Teacher asks the groups or pairs to compare and discuss the capacity of each container.

Pupilâ€™s Activities â€“ Compare and discuss the capacity of each container.

5. Teacher uses the containers and pupilâ€™s responses to introduce the lesson.

Pupilâ€™s Activities â€“ Pay attention to the lesson introduction to understand the concept of the lesson.

6. Teacher leads a discuss the concept of capacity and its standard units.

Pupilâ€™s Activities â€“ Explain the meaning of capacity with its units.

7. Teacher guides the pupils to identify the capacity of different containers.

Pupilâ€™s Activities â€“ Check and record the capacity of different containers.

8. Teacher uses the units identified to discuss the relationship between standard units of capacity.

Pupilâ€™s Activities â€“ Understand the relationship between millilitres and litres, 1 000 mâ„“ = 1 â„“.

9. Teacher guides pupils to convert mâ„“ to â„“ and â„“ to mâ„“.

Pupilâ€™s Activities â€“ Follow the teacherâ€™s instructions to convert mâ„“ to â„“ and â„“ to mâ„“.

10. Teacher guides pupils to add and substrate capacity in mâ„“ and â„“.

Pupilâ€™s Activities â€“ Follow the teacherâ€™s guides to add and substrate capacity in mâ„“ and â„“.

11. Teacher leads pupils to interpret and solve simple word problems on capacity.

Pupilâ€™s Activities â€“ Solve word problem questions.

12. Teacher summarizes each of the lesson on the board with appropriate evaluation.

Pupilâ€™s Activities â€“ Participate actively in the summary of the lesson by responding correctly in the questions and write as instructed.

### CONCLUSION

To conclude the lesson for the week, the teacher revises the entire lesson and links it to the following weekâ€™s lesson.

### NEXT LESSON

Capacity â€“ Multiplication and Division in Litres and Millilitres Primary 4 (Basic 4) Term 3 Week 8 Mathematics

### LESSON EVALUATIONÂ

1. identify the standard unit for capacity.

2. convert mâ„“ to â„“ and â„“ to mâ„“.

3. carry out simple addition and subtraction involving mâ„“ and â„“.

4. word problems involving addition and subtraction mâ„“ and â„“.

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