Capacity & Conversion of Ml to Litres Basic 4 Mathematics Lesson Note

LEARNING AREA

1. Introduction
2. Standard Units of Capacity
3. Addition and Subtraction of Capacity in ml and ℓ
4. Word Problems
5. Lesson Evaluation and Weekly Assessment (Test)

LEARNING OBJECTIVES By the end of the lesson, most pupils should have attained the following objectives –

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 ml and ℓ.
4. word problems involving, addition and subtraction in ml and ℓ.

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 – Irrespective of choosing methods of teaching, always introduce an activities that will arouse pupil’s interest or lead them to the lessons.

REFERENCE MATERIALS

1. Scheme of Work
2. 9 – Years Basic Education Curriculum
3. Course Book
4. All Relevant Material
5. Online Information

CONTENT OF THE LESSON

LESSON 1 – INTRODUCTION

ACTIVITY 1 – CONCEPTS OF CAPACITY

Capacity is the amount of liquid in a container.

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

The basic units of measurement of capacity are milliliter (ml), and liter (ℓ).

The standard unit of measuring capacity is the liter (ℓ).

Small amount of liquid is measured in milliliter (ml) while large amount is measured in liter (ℓ).

It is equal to a thousandth of a liter, that’s, 1 ℓ = 1000 ml.

The relationship between milliliter (ml) and liter (ℓ) is,

1, 000 ml = 1 ℓ

ACTIVITY 2 – CONVERSION OF ml TO ℓ

Working Example 1

Convert 5 000 ml to litres.

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

5 000 ÷ 1 000 = 5

2nd, change the unit to litres.

5 000 ml = 5 ℓ

Working Example 2

Convert 3 756 ml to litres.

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

3 756 ÷ 1 000 = 3.756

2nd, change the unit to litres.

3 756 ml = 3.756 ℓ

Or

3 ℓ 756 ml

Working Example 3

Convert 167 ml to litres.

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

167 ÷ 1 000 = 0.167

2nd, change the unit to litres.

167 ml = 0.167 ℓ

Working Example 4

Convert 13 g to litres.

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

13 ÷ 1 000 = 0.013

2nd, change the unit to litres.

13 ml = 0.013 ℓ

Working Example 5

Convert 9 g to litres.

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

9 ÷ 1 000 = 0.009

2nd, change the unit to litres.

9 ml = 0.009 ℓ

WORKING EXERCISES/ASSIGNMENT

Convert the following to millilitres.

1. 0.9 ℓ
2. 135 ℓ
3. 0.048 ℓ
4. 6.797 ℓ
5. 1.25 ℓ

SOLUTIONS

1. 0.9 ml = 0.9 x 1 000 = 0.0009 ℓ
2. 135 ml = 135 ÷ 1 000 = 0.135 ℓ
3. 0.048 ml = 0.048 ÷ 1 000 = 0.00048 ℓ
4. 6.797 ml = 6.797 ÷ 1 000 = 6.797 ℓ
5. 1.25 ml = 1.25 ÷ 1 000 = 0.00125 ℓ

ACTIVITY 4 – CONVERSION OF ℓ AND ml

Working Example 1

Convert 9 ℓ to millilitres.

1st, multiply the number of ℓ by 1 000.

9 x 1 000 = 9 000

2nd, change the unit of millilitres

9 ℓ = 9 000 ml

Working Example 2

Convert 1.5 ℓ to millilitres.

1st, multiply the number of ℓ by 1 000.

1.5 x 1 000 = 1 500

2nd, change the unit of millilitres

1.5 ℓ = 1 500 ml

Working Example 3

Convert 0.73 ℓ to millilitres.

1st, multiply the number of ℓ by 1 000.

0.73 x 1 000 = 730

2nd, change the unit of millilitres

0.73 ℓ = 730 ml

Working Example 4

Convert 5.7 7 ℓ to millilitres.

1st, multiply the number of ℓ by 1 000.

5 x 1 000 = 7 5 007

2nd, change the unit of millilitres

5.7 7 ml = 5 007 ml

WORKING EXERCISES/ASSIGNMENT

Complete the following:

1. 7.969 g = _______ ℓ
2. 9.613 kg = _______ ml
3. 1.7 g = _______ ℓ
4. 1 kg 56 g = _______ ℓ
5. 1 7.99 ml = _______ ml

LESSON 2 – ADDITION AND SUBTRACTION OF CAPACITY

ACTIVITY 1 – ADDITION CAPACITY

Working Example 1

Add 3 ℓ 755 ml and 9 ℓ 489 ml and show your workings together.

The smallest unit capacity of the measure is ml litres: 3 ℓ 755 = 3 755 ml and 9 ℓ 489 ml

3755 ml + 9489 ml = 13244 ml

= 13.244 = 13 ℓ 244 ml = 13.244 ℓ = 13.244

For capacity of litres together only:

= 13 ℓ 244 ml

Working Example 2

Add 2.300 ml and 4 712 ml

3.300 ml

+4.712 ml= 8.012 ml

Working Example 3

Add 3.35 ml and 453 ml

3.35 ml

+453 ml= 456.35 ml

Working Example 4

Add 3.075 ℓ and 4.67 ℓ together and show your answer in grams.

3.075 ℓ

+4.67 ℓ=7.745 ℓ

Therefore, 3.075 ℓ + 4.67 ℓ = 7.745 ℓ = 7.745 ml

WORKING EXERCISES

Add the following:

1. 4.01 ml and 760 ml
2. 6.005 ml, 1.900 ℓ and 7.66 ml
3. 105 ml and 850 ml
4. 0.37 ml and 9.6 ml
5. 8.2 ℓ ml and 6.6 ml

SOLUTIONS

1. 4.01 ml and 760 ml

4.01 ml

+760 ml= 764.01 ml

Therefore, 4.01 ml + 760 ml = 764.01 ml or 764.01 ml = 0.764 ℓ

LESSON 3 – SUBTRACTION INVOLVING LITRES AND MILLILITRES

Working Example 1

Subtract 3.1 745 ml and 2.1 690 ml

3.1745 ml

-2.1690 ml=1.0055 ml

Therefore, 3.1745 ml – 2.1690 ml = 1.0055 ml = 1.0055 ℓ

Working Example 2

Subtract 7.700 ml and – 1.450 ml and show your answer in ℓ and ℓ

7.700 ml

-1.450 ml=6.250 ml

Therefore, 7.700 ml – 1.450 ml = 6.250 ml = 6.250 ℓ or 6.25 ℓ or 0.00625 ℓ

Working Example 3

Subtract 3 964 ℓ from 5 889 ℓ

5889 ℓ

-3964 ℓ=1925 ℓ

Therefore, 5.889 ℓ – 3.964 ℓ = 1.925 ℓ or 1.925 ℓ or 1.925 ℓ

Working Example 4

Subtract 756 ml – 456 ml = 300 ml ℓ

756 ml

-456 ml=300 ml

Therefore, 756 ml – 456 ml = 300 ml ℓ or 0.3 ℓ

Working Example 5

3 ℓ 700 ml – 1000 ml

= (3000 ml + 700 ml) – 1000 ml = 3700 ml – 1000 ml = 2700 ml

= 2.7 ℓ or 2 ℓ 700 ml

Therefore, 3 ℓ 700 ml – 1000 ml = 2.7 ℓ or 2 ℓ 700 ml=1.468ℓ or 1 ℓ 468mℓ

LESSON 4 – WORD PROBLEMS

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

WORKING EXAMPLE

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

Solution: 7.15 ℓ – 2.68 ℓ ——- 5.47 ℓ

1. 10 ℓ 251 ml of water is poured into a bucket that already contains 8 ℓ 675 ml of water. How much water is now in the bucket?

Solution: 10 ℓ 251 ml + 8 ℓ 675 ml ———– 18 ℓ 926 ml

WORKING EXERCISE

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 – 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.

Pupil’s Activities – Compare and discuss the capacity of each container.

1. Teacher uses the containers and pupil’s responses to introduce the lesson.

Pupil’s Activities – Pay attention to the lesson introduction to understand the concept of the lesson.

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

Pupil’s Activities – Explain the meaning of capacity with its units.

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

Pupil’s Activities – Check and record the capacity of different containers.

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

Pupil’s Activities – Understand the relationship between millilitres and litres, 1 000 ml = 1 ℓ.

1. Teacher guides pupils to convert ml to ℓ and ℓ to ml.

Pupil’s Activities – Follow the teacher’s instructions to convert ml to ℓ and ℓ to ml.

1. Teacher guides pupils to add and substrate capacity in ml and ℓ.

Pupil’s Activities – Follow the teacher’s guides to add and substrate capacity in ml and ℓ.

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

Pupil’s Activities – Solve word problem questions.

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

Pupil’s Activities – 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 week’s lesson.

LESSON EVALUATION

Teacher asks pupils to,

1. identify the standard unit for capacity.
2. convert mℓ to ℓ and ℓ to mℓ.
3. carry out simple addition and subtraction involving mℓ and ℓ.
4. word problems involving addition and subtraction mℓ and ℓ.