Topic 14: Time and Timetables

By the end of this topic, you will be able to:

• identify and use units of time:
• use and interpret different representations of time
• apply the understanding of time in a range of relevant real-life contexts

Keywords

• route time
• timetables
• units

Introduction

You have used timetables since you were born. Seconds, minutes, hours, weeks, months, years, and decades are all units of time. What can you use to tell time? In this topic, you will understand and use time and timetables. You will also apply time in a range of relevant real-life contexts.

Identifying and Using Units of Time

Activity 14.1 Identifying and using units if time (work in groups)

What you need: local materials, notebook, pen. What to do:

1. Get local materials in the environment and use them to make clock face.

2. Let one member of your group adjust the hands of the clock face as others are reading and noting the time.

3. Identify the numbers of: a) minutes in 1 hour b) Seconds in 1 minute c) seconds in 1 hour

4. Compare your work with other groups.

Example 1

Alex = 15 years

a) 15 years (12 x 15) months

= 180 months old

c) 15 years (365×15) days

= 5475 days old

1 month = 4 weeks

12 months (4 x 12)

1 year 48 weeks

15 years = (48 × 15)

= 720 weeks old

For Mary

a) 20 years = (1220) months

= 240 months old

20 years (356 x 20) days

= 7300 days old

20 years =(48 x 20) weeks

= 960 weeks old

Example 2

If 28th February is a Monday, what will be next Monday’s date if it is:

a) not a leap year.

b) If it is a leap year.

Solution

a) 28 days for not a leap year.

(35 – 28) = 7

So the next Monday will be 7th March.

b) Using the addition

(28+7)= 35

(35-29)=6

So in a leap year, the next Monday will be 6th March.

Exercise 14.1

1. Akot was born 3 years ago. How old is she in:

a) Seconds

b) Minutes

c) Hours

d) Days mc

e) Months (use four weeks in a month)

2. This year Moses’ birthday is on Thursday 30th January. What day will his birthday be on next year if:

a) next year is a leap year?

b) next year is not a leap year?

12 and 24-hour System

Activity 14.2 12 and 24-hour system (work in groups)

What you need: ruler, pen and note book

What to do:

1. Draw a table and show time in the 24-hour clock and its corresponding time in the 12-hour clock.

2. How have you differentiated the time in the 12-hour clock (morning and evening afternoon?)

3. Compare your work with other groups.

Activity 14.3 Using and interpreting different representations of time (work in groups)

What you need: notebook, pen and the class timetable.

What to do:

Study your class timetable carefully and answer the following questions.

1. How many periods are there in,

a) A day. b) A week all together.

2. Count the mathematics periods in a week.

3. How much time do you spend in

a) Lessons. b) Other activities in a week.

4. Exchange your work with other groups and compare your answers.

Example

Okot developed his daily reading timetable as shown below.

a) How many subjects are there in Okot’s timetables?

b) Find the total time spent by Okot in his personal revision in;

i) hours per day

ii) hours per week

iii) minutes per day

iv) minutes per week

v) seconds per day

vi) seconds per week

Exercise 14.2

1. The proposed timetables for senior one next year was drafted by ther Director of studies of Gulu as follows

a) How many periods are there per day?

b) How many periods are there per week?

c) State the number of periods allocated to mathematics per week.

d) Find the time students spend in class per day in;

i) hours ii) minutes iii) seconds

2. Jackson a senior one student needs a personal revision timetable for his 8 subjects.

a) Help Jackson with the timetable.

b) Find the total number of lessons per week in that timetables.

c) Find the total time that will be spent by Jackson’s child in;

i) hours darii) minutes iii) seconds per day and per week.

3. Mugisha is planning to take his family for a tour. They will spend 2 days in Kibale National Park, 3 days in Queen Elizabeth National Park and 2 days in Kidepo National Park.

a) Draft a timetables they can follow, starting from Monday.

b) Find the total time they will spend in hours.

Applying the Understanding of Time in a Range of Relevant Real Life Context

Everything you do, is done at a specific time, for a specific duration. You use time for everything.

Activity 14.4 Applying the understanding of time in a range of relevant real life context (work in pairs)

What you need: a notebook, pen and the ruler.

What to do:

1. Make personal timetables for a week.

2. Compare your timetables with that of your friend.

3. How many activities have you planned to have in one day?

4. Find the total time spent on each item for the whole week.

Example

Ben is planning to travel from Mbarara to Kasese soon. He wishes to cover the journey from 1930 hrs to 0435 hrs with stop- overs in Sheema, Bushenyi and Bunyaruguru respectively. He also wishes to cover the journey from Mbarara to Sheema in 1hour and from Sheema to Bushenyi in 80 minutes. Stop-overs take a maximum of 15 minutes.

a) Plan a detailed program for the journey using the 24- hour clock.

b) How long will the entire journey take?

c) Express the arrival time in Bunyaruguru in 12-hour clock.

Solution

From Mbarara to Sheema = 1 hour

From Sheema to Bushenyi = 1 hour, 20 minutes

From Bushenyi to Bunyaruguru = 1 hour 49 minutes

Exercise 14.3

1. If you are to use a taxi from your home at 7:00am to school, with 4 stop- overs of 10 minutes each, a) plan a journey and draw a detailed program using the 24-hour clock. b) how long does the whole journey take from home to school?

2. A bus travelling from Kampala to Gulu started its journey at 20:35 hrs, making several stop-overs as shown below.

a) Where does the bus start from?

b) Where does it head to next?

c) How long does the whole journey take?

d) Give the time in 12-hour clock when the bus will arrive at Masindi. e) Find the total time the bus spent on stopovers in minutes.